Middle School Math
Sixth grade math
A. Whole numbers
1 Place values in whole numbers
2 Writing numbers in words: convert words to digits
3 Writing numbers in words: convert digits to words
4 Spell word names for numbers up to one million
5 Roman numerals
6 Add and subtract whole numbers
7 Add and subtract whole numbers: word problems
B. Multiplication
1 Multiply whole numbers
2 Multiply whole numbers: word problems
3 Multiply whole numbers with four or more digits
4 Multiply numbers ending in zeroes
5 Multiply numbers ending in zeroes: word problems
6 Multiply three or more numbers
7 Multiply three or more numbers: word problems
8 Estimate products
C. Division
1 Divisibility rules
2 Division patterns with zeroes
3 Divide numbers ending in zeroes: word problems
4 Estimate quotients
5 Divide whole numbers - 2-digit divisors
6 Divide whole numbers - 3-digit divisors
D. Exponents
1 Write multiplication expressions using exponents
2 Evaluate exponents
3 Write powers of ten with exponents
4 Find the missing exponent or base
5 Exponents with decimal bases
6 Exponents with fractional bases
E. Number theory
1 Convert between standard and scientific notation
2 Compare numbers written in scientific notation
3 Prime or composite
4 Identify factors
5 Find all the factor pairs of a number
6 Prime factorization
7 Prime factorization with exponents
8 Greatest common factor
9 Greatest common factor of three or four numbers
10 Least common multiple
11 Least common multiple of three or four numbers
12 GCF and LCM: word problems
13 Sort factors of numerical expressions
14 Classify numbers
F. Decimals
1 What decimal number is illustrated?
2 Decimal place values
3 Word names for decimal numbers
4 Put decimal numbers in order
5 Inequalities with decimals
6 Round decimals
7 Round whole numbers and decimals: find the missing digit
8 Decimal number lines
9 Repeating decimals
G. Add and subtract decimals
1 Add and subtract decimal numbers
2 Add and subtract decimals: word problems
• New! Complete the decimal addition or subtraction sentence
3 Estimate sums and differences of decimals
4 Maps with decimal distances
H. Multiply and divide decimals
1 Estimate products of decimal numbers
2 Multiply decimals
3 Inequalities with decimal multiplication
4 Divide decimals by whole numbers
5 Divide decimals by whole numbers: word problems
6 Multiply and divide decimals by powers of ten
7 Division with decimal quotients
8 Inequalities with decimal division
9 Multiply and divide decimals: word problems
I. Fractions and mixed numbers
1 Fractions on number lines
2 Understanding fractions: word problems
3 Equivalent fractions review
4 Write fractions in lowest terms
5 Least common denominator
6 Compare fractions with like and unlike denominators
7 Compare fractions: word problems
8 Convert between improper fractions and mixed numbers
9 Convert fractions to decimals
10 Convert decimals to fractions
11 Convert between decimals and fractions
12 Convert between decimals and mixed numbers
13 Put a mix of decimals and fractions in order
14 Put a mix of decimals, fractions, and mixed numbers in order
15 Understand fractions as division: word problems
J. Add and subtract fractions
1 Add and subtract fractions with like denominators
2 Add and subtract fractions with like denominators: word problems
3 Add and subtract fractions with unlike denominators
4 Add and subtract fractions with unlike denominators: word problems
5 Inequalities with addition and subtraction of like and unlike fractions
6 Add and subtract mixed numbers
7 Add and subtract mixed numbers: word problems
8 Estimate sums and differences of mixed numbers
9 Maps with fractional distances
K. Multiply fractions
1 Fractions of whole numbers I
2 Fractions of whole numbers II
3 Fractions of a number: word problems
4 Estimate products of fractions and whole numbers
5 Multiply two fractions using models
6 Multiply two fractions
7 Multiply fractions: word problems
8 Scaling whole numbers by fractions: justify your answer
9 Scaling by fractions and mixed numbers
10 Multiply three or more fractions and whole numbers
11 Estimate products of mixed numbers
12 Multiply mixed numbers and whole numbers
13 Multiply mixed numbers
14 Multiply mixed numbers: word problems
15 Multiply three or more mixed numbers, fractions, and/or whole numbers
L. Divide fractions
1 Divide whole numbers by unit fractions using models
2 Reciprocals
3 Divide whole numbers and unit fractions
4 Divide fractions by whole numbers in recipes
5 Divide fractions
6 Estimate quotients when dividing mixed numbers
7 Divide fractions and mixed numbers
8 Divide fractions and mixed numbers: word problems
M. Integers
1 Understanding integers
2 Integers on number lines
3 Graph integers on horizontal and vertical number lines
4 Understanding opposite integers
5 Understanding absolute value
6 Absolute value
7 Compare integers
8 Put integers in order
9 Integer inequalities with absolute values
10 Absolute value and integers: word problems
N. Operations with integers
1 Add integers using counters
2 Add integers using number lines
3 Add integers
4 Subtract integers using counters
5 Subtract integers using number lines
6 Subtract integers
7 Add and subtract integers: find the sign
8 Add and subtract integers: word problems
9 Add and subtract integers: input/output tables
10 Add three or more integers
11 Multiply integers: find the sign
12 Multiply integers
13 Divide integers: find the sign
14 Divide integers
O. Mixed operations
1 Add, subtract, multiply, or divide two whole numbers
2 Add, subtract, multiply, or divide two whole numbers: word problems
3 Evaluate numerical expressions involving whole numbers
4 Identify mistakes involving the order of operations
5 Add, subtract, multiply, or divide two decimals
6 Add, subtract, multiply, or divide two decimals: word problems
7 Evaluate numerical expressions involving decimals
8 Add, subtract, multiply, or divide two fractions
9 Add, subtract, multiply, or divide two fractions: word problems
10 Evaluate numerical expressions involving fractions
11 Add, subtract, multiply, or divide two integers
12 Evaluate numerical expressions involving integers
P. Rational numbers
1 Rational numbers on number lines
2 Rational numbers: equal or not equal
3 Compare and order rational numbers using number lines
4 Compare rational numbers
5 Put rational numbers in order
6 Compare and order rational numbers: word problems
7 Opposites of rational numbers
8 Absolute value of rational numbers
9 Add and subtract rational numbers
10 Multiply and divide rational numbers
11 Rational numbers: find the sign
Q. Problem solving and estimation
1 Estimate to solve word problems
2 Multi-step word problems
3 Multi-step word problems: identify reasonable answers
4 Word problems with extra or missing information
5 Guess-and-check word problems
6 Distance/direction to starting point
7 Use logical reasoning to find the order
R. Ratios and rates
1 Write a ratio
2 Write a ratio using a fraction
3 Write a ratio: word problems
4 Which model represents the ratio?
5 Identify equivalent ratios
6 Write an equivalent ratio
7 Ratio tables
8 Equivalent ratios: word problems
9 Unit rates
10 Equivalent rates
11 Ratios and rates: complete a table and make a graph
12 Use tape diagrams to solve ratio word problems
13 Compare ratios: word problems
14 Compare rates: word problems
15 Ratios and rates: word problems
16 Do the ratios form a proportion?
17 Solve the proportion
18 Identify proportional relationships from graphs
19 Identify proportional relationships from tables
20 Identify proportional relationships by graphing
21 Interpret graphs of proportional relationships
22 Scale drawings: word problems
S. Percents
1 What percentage is illustrated?
2 Understanding percents: strip models
3 Convert fractions to percents using grid models
4 Convert between percents, fractions, and decimals
5 Convert between percents, fractions, and decimals: word problems
6 Compare percents to each other and to fractions
7 Compare percents and fractions: word problems
8 Solve percent problems using grid models
9 Solve percent problems using strip models
10 Percents of numbers and money amounts
11 Percents of numbers: word problems
12 Percents of numbers: fractional and decimal percents
13 Find what percent one number is of another
14 Find what percent one number is of another: word problems
15 Find the total given a part and a percent
16 Solve percent problems
17 Solve percent word problems
T. Units of measurement
1 Estimate customary measurements
2 Estimate metric measurements
3 Convert and compare customary units
4 Convert, compare, add, and subtract mixed customary units
5 Multiply and divide mixed customary units
6 Customary unit conversions involving fractions and mixed numbers
7 Convert and compare metric units
8 Convert between customary and metric systems
9 Compare temperatures above and below zero
10 Convert between Celsius and Fahrenheit
U. Money
1 Find the number of each type of coin
2 Add and subtract money amounts
3 Add and subtract money amounts: word problems
4 Multiply money by whole numbers and decimals
5 Multiply money: word problems
6 Divide money amounts
7 Divide money amounts: word problems
V. Consumer math
1 Which is the better coupon?
2 Unit prices
3 Unit prices with fractions and decimals
4 Unit prices with customary unit conversions
5 Sale prices
6 Sale prices: find the original price
7 Percents - calculate tax, tip, mark-up, and more
8 Simple interest
W. Time
1 Elapsed time
2 Time units
3 Find start and end times
X. Coordinate plane
1 Objects on a coordinate plane
2 Graph points on a coordinate plane
3 Quadrants
• New! Reflect a point over an axis
4 Coordinate planes as maps
5 Distance between two points
6 Follow directions on a coordinate plane
7 Area and perimeter of squares and rectangles on the coordinate plane
Y. Expressions and properties
1 Write variable expressions: one operation
2 Write variable expressions: two operations
3 Write variable expressions: word problems
4 Evaluate variable expressions with whole numbers
5 Evaluate multi-variable expressions
6 Evaluate variable expressions with decimals, fractions, and mixed numbers
7 Evaluate variable expressions: word problems
8 Identify terms and coefficients
9 Sort factors of variable expressions
10 Identify equivalent expressions using strip models
11 Properties of addition
12 Properties of multiplication
13 Multiply using the distributive property
14 Factor using the distributive property
15 Solve for a variable using properties of multiplication
16 Write equivalent expressions using properties
17 Add and subtract like terms
18 Identify equivalent expressions I
19 Identify equivalent expressions II
Z. One-variable equations
1 Does x satisfy an equation?
2 Which x satisfies an equation?
3 Write an equation from words
4 Identify expressions and equations
5 Model and solve equations using algebra tiles
6 Write and solve equations that represent diagrams
7 Solve one-step addition and subtraction equations with whole numbers
8 Solve one-step multiplication and division equations with whole numbers
9 Solve one-step equations with whole numbers
10 Solve one-step addition and subtraction equations with decimals, fractions, and mixed numbers
11 Solve one-step multiplication and division equations with decimals, fractions, and whole numbers
12 Solve one-step addition and subtraction equations: word problems
13 Solve one-step multiplication and division equations: word problems
14 Write a one-step equation: word problems
15 Solve one-step equations: word problems
16 Which word problem matches the one-step equation?
17 Solve one-step equations involving integers
18 Solve equations involving like terms
19 Solve two-step equations
AA. One-variable inequalities
1 Solutions to inequalities
2 Graph inequalities on number lines
3 Write inequalities from number lines
• New! Write and graph inequalities: word problems
4 Solve one-step inequalities
5 Graph solutions to one-step inequalities
6 One-step inequalities: word problems
BB. Two-variable equations
1 Does (x, y) satisfy an equation?
2 Identify independent and dependent variables in tables and graphs
3 Write an equation from a graph using a table
4 Identify independent and dependent variables: word problems
5 Find a value using two-variable equations
6 Find a value using two-variable equations: word problems
7 Solve word problems by finding two-variable equations
8 Complete a table for a two-variable relationship
9 Write a two-variable equation from a table
10 Write a two-variable equation
11 Identify the graph of an equation
12 Complete a table and graph a two-variable equation
13 Graph a two-variable equation
14 Interpret a graph: word problems
CC. Two-dimensional figures
1 Identify and classify polygons
2 Measure and classify angles
3 Estimate angle measurements
4 Classify triangles
5 Triangle inequality
6 Identify trapezoids
7 Classify quadrilaterals
8 Graph triangles and quadrilaterals
9 Find missing angles in triangles
10 Find missing angles in special triangles
11 Find missing angles in quadrilaterals
12 Sums of angles in polygons
13 Lines, line segments, and rays
14 Name angles
15 Complementary and supplementary angles
16 Identify complementary, supplementary, vertical, adjacent, and congruent angles
17 Find measures of complementary, supplementary, vertical, and adjacent angles
DD. Symmetry and transformations
1 Line symmetry
2 Rotational symmetry
3 Rotational symmetry: amount of rotation
4 Reflection, rotation, and translation
5 Similar and congruent figures
6 Find side lengths of similar figures
EE. Three-dimensional figures
1 Identify polyhedra
2 Which figure is being described?
3 Nets of three-dimensional figures
4 Front, side, and top view
FF. Geometric measurement
1 Perimeter
2 Area of rectangles and squares
3 Understanding area of a parallelogram
4 Area of parallelograms
5 Understanding area of a triangle
6 Area of triangles
7 Understanding area of a trapezoid
8 Area of trapezoids
9 Area of rhombuses
10 Area of quadrilaterals
11 Area of compound figures
12 Area of compound figures with triangles
13 Area between two rectangles
14 Area between two triangles
15 Rectangles: relationship between perimeter and area
16 Compare area and perimeter of two figures
17 Area of quadrilaterals and triangles: word problems
18 Volume of cubes and rectangular prisms
19 Volume of cubes and rectangular prisms with fractional side lengths
20 Volume of cubes and rectangular prisms: word problems
21 Surface area of cubes and rectangular prisms
22 Volume of triangular prisms
23 Surface area of triangular prisms
24 Surface area of pyramids
25 Relate volume and surface area
GG. Data and graphs
1 Interpret pictographs
2 Create pictographs
3 Interpret line plots
4 Create line plots
5 Create and interpret line plots with fractions
6 Create frequency charts
7 Interpret categorical data
8 Create relative frequency tables
9 Interpret bar graphs
10 Create bar graphs
11 Create percent bar graphs
12 Interpret double bar graphs
13 Create double bar graphs
14 Interpret histograms
15 Create histograms
16 Interpret circle graphs
17 Interpret line graphs
18 Create line graphs
19 Interpret double line graphs
20 Create double line graphs
21 Interpret stem-and-leaf plots
22 Create stem-and-leaf plots
23 Box plots
HH. Statistics
1 Identify statistical questions
2 Calculate mean, median, mode, and range
3 Interpret charts and graphs to find mean, median, mode, and range
4 Mean, median, mode, and range: find the missing number
5 Changes in mean, median, mode, and range
6 Calculate mean absolute deviation
7 Calculate quartiles and interquartile range
8 Identify an outlier
9 Identify an outlier and describe the effect of removing it
10 Describe distributions in line plots
11 Identify representative, random, and biased samples
II. Probability
1 Counting principle
2 Probability of one event
3 Make predictions
4 Probability of simple events and opposite events
JJ. Financial literacy
1 Compare checking accounts
2 Check registers
3 Debit cards and credit cards
4 Credit reports
5 Paying for college
6 Occupations, education, and income
Seventh grade math
A. Number theory
1 Prime or composite
2 Prime factorization
3 Multiplicative inverses
4 Divisibility rules
5 Greatest common factor
6 Least common multiple
7 GCF and LCM: word problems
8 Sort factors of numerical expressions
9 Scientific notation
10 Compare numbers written in scientific notation
11 Classify numbers
12 Factorials
B. Integers
1 Understanding integers
2 Integers on number lines
3 Graph integers on horizontal and vertical number lines
4 Absolute value and opposite integers
5 Quantities that combine to zero: word problems
6 Compare and order integers
7 Integer inequalities with absolute values
C. Operations with integers
1 Integer addition rules
2 Add integers using counters
3 Add integers using number lines
4 Add integers
5 Add three or more integers
6 Integer subtraction rules
7 Subtract integers using counters
8 Subtract integers using number lines
9 Subtract integers
10 Integer addition and subtraction rules
11 Add and subtract integers using counters
12 Add and subtract integers
13 Complete addition and subtraction equations with integers
14 Add and subtract integers: word problems
15 Integer multiplication rules
16 Multiply integers
17 Integer division rules
18 Equal quotients of integers
19 Divide integers
20 Integer multiplication and division rules
21 Multiply and divide integers
22 Complete multiplication and division equations with integers
23 Add, subtract, multiply, and divide integers
24 Evaluate numerical expressions involving integers
D. Decimals
1 Decimal numbers review
2 Compare and order decimals
3 Decimal number lines
4 Round decimals
E. Operations with decimals
1 Add and subtract decimals
2 Add and subtract decimals: word problems
3 Multiply decimals
4 Multiply decimals and whole numbers: word problems
5 Divide decimals
6 Divide decimals by whole numbers: word problems
7 Estimate sums, differences, and products of decimals
8 Add, subtract, multiply, and divide decimals: word problems
9 Multi-step inequalities with decimals
10 Maps with decimal distances
11 Evaluate numerical expressions involving decimals
F. Fractions and mixed numbers
1 Understanding fractions: word problems
2 Equivalent fractions
3 Write fractions in lowest terms
4 Fractions: word problems with graphs and tables
5 Least common denominator
6 Compare and order fractions
7 Compare fractions: word problems
8 Convert between mixed numbers and improper fractions
9 Compare mixed numbers and improper fractions
10 Round mixed numbers
G. Operations with fractions
1 Add and subtract fractions
2 Add and subtract fractions: word problems
3 Add and subtract mixed numbers
4 Add and subtract mixed numbers: word problems
5 Inequalities with addition and subtraction of fractions and mixed numbers
6 Estimate sums and differences of mixed numbers
7 Multiply fractions and whole numbers
8 Multiply two fractions using models
9 Multiply fractions
10 Multiply mixed numbers
11 Multiply fractions and mixed numbers: word problems
12 Divide fractions
13 Divide mixed numbers
14 Divide fractions and mixed numbers: word problems
15 Estimate products and quotients of fractions and mixed numbers
16 Add, subtract, multiply, and divide fractions and mixed numbers: word problems
17 Maps with fractional distances
18 Evaluate numerical expressions involving fractions
H. Rational numbers
1 Convert fractions or mixed numbers to decimals
2 Convert decimals to fractions or mixed numbers
3 Convert between decimals and fractions or mixed numbers
4 Identify rational numbers
5 Classify rational numbers using a diagram
6 Absolute value of rational numbers
7 Compare rational numbers
8 Put rational numbers in order
9 Add and subtract positive and negative decimals
10 Add and subtract positive and negative fractions
11 Add and subtract rational numbers
12 Rational numbers: find the sign
13 Apply addition and subtraction rules
14 Identify quotients of rational numbers: word problems
15 Multiply and divide positive and negative decimals
16 Multiply and divide positive and negative fractions
17 Multiply and divide rational numbers
18 Apply multiplication and division rules
I. Exponents and square roots
1 Understanding exponents
2 Evaluate exponents
3 Solve equations with variable exponents
4 Exponents with negative bases
5 Exponents with decimal and fractional bases
6 Powers of ten
7 Evaluate numerical expressions involving exponents
8 Square roots of perfect squares
9 Estimate square roots
J. Ratios, rates, and proportions
1 Understanding ratios
2 Identify equivalent ratios
3 Write an equivalent ratio
4 Equivalent ratios: word problems
5 Unit rates
6 Calculate unit rates with fractions
7 Word problems involving ratios
8 Compare rates: word problems
9 Scale drawings: word problems
10 Scale drawings: scale factor word problems
11 Do the ratios form a proportion?
12 Do the ratios form a proportion: word problems
13 Solve proportions
14 Solve proportions: word problems
15 Estimate population size using proportions
16 Rate of change: tables
17 Rate of change: graphs
18 Constant rate of change
K. Proportional relationships
1 Find the constant of proportionality from a table
2 Write equations for proportional relationships from tables
3 Identify proportional relationships by graphing
4 Find the constant of proportionality from a graph
5 Write equations for proportional relationships from graphs
6 Identify proportional relationships from graphs and equations
7 Identify proportional relationships from tables
8 Complete a table and graph a proportional relationship
9 Graph a proportional relationship using slope
10 Interpret graphs of proportional relationships
11 Write and solve equations for proportional relationships
L. Percent
1 What percentage is illustrated?
2 Convert between percents, fractions, and decimals
3 Compare percents to fractions and decimals
4 Estimate percents of numbers
• New! Solve percent problems using strip models
5 Percent of numbers and money amounts
6 Percent of numbers: word problems
7 Solve percent equations
8 Solve percent equations: word problems
9 Percent of change
10 Percent of change: word problems
11 Percent of change: find the original amount word problems
M. Consumer math
1 Add, subtract, multiply, and divide money amounts: word problems
2 Price lists
3 Unit prices
4 Unit prices with unit conversions
5 Unit prices: find the total price
6 Percent of a number: tax, discount, and more
7 Which is the better coupon?
8 Find the percent: tax, discount, and more
9 Sale prices: find the original price
10 Multi-step problems with percents
11 Estimate tips
12 Simple interest
13 Compound interest
N. Problem solving and estimation
1 Estimate to solve word problems
2 Multi-step word problems
3 Multi-step word problems: identify reasonable answers
4 Guess-and-check word problems
5 Use Venn diagrams to solve problems
6 Find the number of each type of coin
7 Elapsed time word problems
O. Units of measurement
1 Estimate customary measurements
2 Estimate metric measurements
3 Compare and convert customary units
4 Mixed customary units
5 Compare and convert metric units
6 Convert between customary and metric systems
7 Precision
8 Celsius and Fahrenheit temperatures
P. Coordinate plane
1 Coordinate plane review
2 Quadrants and axes
3 Follow directions on a coordinate plane
4 Distance between two points
Q. Number sequences
1 Identify arithmetic and geometric sequences
2 Arithmetic sequences
3 Geometric sequences
4 Number sequences: mixed review
5 Number sequences: word problems
6 Evaluate variable expressions for number sequences
7 Write variable expressions for arithmetic sequences
R. Expressions and properties
1 Write variable expressions: one operation
2 Write variable expressions: two or three operations
3 Write variable expressions: word problems
4 Evaluate linear expressions
5 Evaluate multi-variable expressions
6 Evaluate absolute value expressions
7 Evaluate nonlinear expressions
8 Identify terms and coefficients
9 Sort factors of variable expressions
10 Properties of addition and multiplication
11 Multiply using the distributive property
12 Solve equations using properties
13 Write equivalent expressions using properties
14 Add and subtract linear expressions
15 Add and subtract like terms: with exponents
16 Factors of linear expressions
17 Identify equivalent linear expressions using algebra tiles
18 Identify equivalent linear expressions I
19 Identify equivalent linear expressions II
20 Identify equivalent linear expressions: word problems
S. One-variable equations
1 Which x satisfies an equation?
2 Write an equation from words
3 Model and solve equations using algebra tiles
4 Write and solve equations that represent diagrams
5 Solve one-step equations
6 Solve two-step equations
7 Solve equations: word problems
8 Solve equations involving like terms
9 Solve equations: complete the solution
T. One-variable inequalities
1 Solutions to inequalities
2 Graph inequalities on number lines
3 Write inequalities from number lines
4 Solve one-step inequalities
5 Graph solutions to one-step inequalities
6 One-step inequalities: word problems
7 Solve two-step inequalities
8 Graph solutions to two-step inequalities
U. Two-variable equations
1 Does (x, y) satisfy the equation?
2 Identify independent and dependent variables
3 Find a value using two-variable equations
4 Solve word problems involving two-variable equations
5 Complete a table for a two-variable relationship
6 Write a two-variable equation
7 Identify the graph of an equation
8 Graph a two-variable equation
9 Interpret a graph: word problems
10 Write an equation from a graph using a table
V. Linear functions
1 Find the slope from a graph
2 Find the slope from two points
3 Find a missing coordinate using slope
4 Find the slope from an equation
5 Graph a line using slope
6 Write a linear function
7 Identify linear and nonlinear functions
W. Two-dimensional figures
1 Identify and classify polygons
2 Name, measure, and classify angles
3 Classify triangles
4 Triangle inequality
5 Identify trapezoids
6 Classify quadrilaterals I
7 Classify quadrilaterals II
8 Graph triangles and quadrilaterals
9 Find missing angles in triangles
10 Find missing angles in triangles using ratios
11 Find missing angles in quadrilaterals I
12 Find missing angles in quadrilaterals II
13 Interior angles of polygons
14 Lines, line segments, and rays
15 Parallel, perpendicular, and intersecting lines
16 Identify complementary, supplementary, vertical, and adjacent angles
17 Find measures of complementary, supplementary, vertical, and adjacent angles
18 Identify alternate interior and alternate exterior angles
19 Transversals of parallel lines: name angle pairs
20 Transversals of parallel lines: find angle measures
21 Find lengths and measures of bisected line segments and angles
22 Parts of a circle
23 Central angles of circles
X. Transformations and congruence
1 Line symmetry
2 Rotational symmetry
3 Rotational symmetry: amount of rotation
4 Identify reflections, rotations, and translations
5 Combinations of reflections, rotations, and translations
6 Translations: graph the image
7 Translations: find the coordinates
8 Reflections over the x- and y-axes: graph the image
9 Reflections over the x- and y-axes: find the coordinates
10 Reflections: graph the image
11 Reflections: find the coordinates
12 Rotations: graph the image
13 Rotations: find the coordinates
14 Similar and congruent figures
15 Congruence statements and corresponding parts
16 Side lengths and angle measures of congruent figures
17 Side lengths and angle measures of similar figures
18 Similar figures and indirect measurement
Y. Pythagorean theorem
1 Pythagorean theorem: find the length of the hypotenuse
2 Pythagorean theorem: find the missing leg length
3 Pythagorean theorem: word problems
4 Converse of the Pythagorean theorem: is it a right triangle?
Z. Three-dimensional figures
1 Bases of three-dimensional figures
2 Nets of three-dimensional figures
3 Front, side, and top view
4 Cross sections of three-dimensional figures
AA. Geometric measurement
1 Perimeter
2 Area of rectangles and parallelograms
3 Area of triangles and trapezoids
4 Area and perimeter: word problems
5 Area of circles
6 Circumference of circles
7 Circles: word problems
8 Volume of cubes and prisms
9 Volume of cubes and rectangular prisms: word problems
10 Volume of pyramids
11 Volume of cylinders
12 Surface area of cubes and prisms
13 Surface area of pyramids
14 Surface area of cylinders
15 Perimeter and area: changes in scale
16 Semicircles: calculate area, perimeter, radius, and diameter
17 Quarter circles: calculate area, perimeter, and radius
18 Area of compound figures with triangles
19 Area of compound figures with triangles, semicircles, and quarter circles
20 Area between two shapes
BB. Data and graphs
1 Interpret tables
2 Interpret line plots
3 Create line plots
4 Create and interpret line plots with fractions
5 Interpret stem-and-leaf plots
6 Create stem-and-leaf plots
7 Interpret bar graphs
8 Create bar graphs
9 Interpret histograms
10 Create histograms
11 Create frequency charts
12 Interpret circle graphs
13 Circle graphs and central angles
14 Interpret line graphs
15 Create line graphs
16 Box plots
17 Identify trends with scatter plots
18 Make predictions with scatter plots
CC. Statistics
1 Calculate mean, median, mode, and range
2 Interpret charts and graphs to find mean, median, mode, and range
3 Mean, median, mode, and range: find the missing number
4 Changes in mean, median, mode, and range
5 Calculate mean absolute deviation
6 Calculate quartiles and interquartile range
7 Identify an outlier
8 Identify representative, random, and biased samples
DD. Probability
1 Probability of simple events
2 Probability of simple events and opposite events
3 Probability of mutually exclusive events and overlapping events
4 Experimental probability
5 Make predictions using experimental probability
6 Make predictions using theoretical probability
7 Compound events: find the number of outcomes
8 Compound events: find the number of sums
9 Probability of compound events
10 Identify independent and dependent events
11 Probability of independent and dependent events
12 Find the number of outcomes: word problems
Eighth grade math
A. Number theory
1 Factors
2 Divisibility rules
3 Prime or composite
4 Prime factorization
5 Greatest common factor
6 Least common multiple
7 GCF and LCM: word problems
8 Sort factors of numerical expressions
9 Classify numbers
B. Integers
1 Integers on number lines
2 Graph integers on horizontal and vertical number lines
3 Absolute value and opposite integers
4 Compare and order integers
5 Integer inequalities with absolute values
C. Operations with integers
1 Integer addition and subtraction rules
2 Add and subtract integers using counters
3 Add and subtract integers
4 Add and subtract three or more integers
5 Add and subtract integers: word problems
6 Integer multiplication and division rules
7 Multiply and divide integers
8 Evaluate numerical expressions involving integers
D. Rational numbers
1 Write fractions in lowest terms
2 Least common denominator
3 Round decimals and mixed numbers
• New! Write a repeating decimal as a fraction
4 Convert between decimals and fractions or mixed numbers
• New! Identify rational and irrational square roots
5 Identify rational and irrational numbers
6 Absolute value of rational numbers
7 Compare rational numbers
8 Put rational numbers in order
E. Operations with rational numbers
1 Reciprocals and multiplicative inverses
2 Add and subtract rational numbers
3 Add and subtract rational numbers: word problems
4 Apply addition and subtraction rules
5 Multiply and divide rational numbers
6 Multiply and divide rational numbers: word problems
7 Apply multiplication and division rules
8 Apply addition, subtraction, multiplication, and division rules
9 Evaluate numerical expressions involving rational numbers
F. Exponents and roots
1 Understanding exponents
2 Evaluate exponents
3 Solve equations with variable exponents
4 Exponents with negative bases
5 Exponents with decimal and fractional bases
6 Understanding negative exponents
7 Evaluate negative exponents
8 Multiplication with exponents
9 Division with exponents
10 Multiplication and division with exponents
11 Power rule
12 Evaluate expressions using properties of exponents
13 Identify equivalent expressions involving exponents I
14 Identify equivalent expressions involving exponents II
15 Square roots of perfect squares
16 Estimate positive square roots
17 Positive and negative square roots
18 Estimate positive and negative square roots
19 Relationship between squares and square roots
20 Solve equations using square roots
21 Cube roots of positive perfect cubes
22 Cube roots of positive and negative perfect cubes
23 Solve equations using cube roots
24 Estimate cube roots
G. Scientific notation
1 Convert between standard and scientific notation
2 Compare numbers written in scientific notation
3 Add and subtract numbers written in scientific notation
4 Multiply numbers written in scientific notation
5 Divide numbers written in scientific notation
H. Ratios, rates, and proportions
1 Understanding ratios
2 Identify equivalent ratios
3 Write an equivalent ratio
4 Equivalent ratios: word problems
5 Unit rates
6 Word problems involving ratios
7 Solve proportions: word problems
8 Do the ratios form a proportion?
9 Do the ratios form a proportion: word problems
10 Solve proportions
11 Estimate population size using proportions
12 Scale drawings: word problems
13 Scale drawings: scale factor word problems
I. Proportional relationships
1 Find the constant of proportionality from a table
2 Write equations for proportional relationships from tables
3 Identify proportional relationships by graphing
4 Find the constant of proportionality from a graph
5 Write equations for proportional relationships from graphs
6 Identify proportional relationships from graphs and equations
7 Identify proportional relationships from tables
8 Graph proportional relationships and find the slope
9 Interpret graphs of proportional relationships
10 Write and solve equations for proportional relationships
J. Percents
1 Convert between percents, fractions, and decimals
2 Compare percents to fractions and decimals
3 Find what percent one number is of another
4 Find what percent one number is of another: word problems
5 Estimate percents of numbers
6 Percents of numbers and money amounts
7 Percents of numbers: word problems
8 Compare percents of numbers
9 Solve percent equations
10 Percent of change
11 Percent of change: word problems
12 Percent of change: find the original amount word problems
K. Consumer math
1 Price lists
2 Unit prices
3 Unit prices with unit conversions
4 Unit prices: find the total price
5 Percent of a number: tax, discount, and more
6 Find the percent: tax, discount, and more
7 Sale prices: find the original price
8 Multi-step problems with percents
9 Estimate tips
10 Simple interest
11 Compound interest
L. Units of measurement
1 Convert rates and measurements: customary units
2 Convert rates and measurements: metric units
3 Mixed customary units
4 Convert between customary and metric systems
5 Precision
6 Convert between Celsius and Fahrenheit
M. Problem solving
1 Multi-step word problems
2 Guess-and-check word problems
3 Use Venn diagrams to solve problems
4 Elapsed time word problems
N. Coordinate plane
1 Coordinate plane review
2 Quadrants and axes
3 Follow directions on a coordinate plane
4 Find the distance between two points
O. Two-dimensional figures
1 Identify and classify polygons
2 Classify triangles
3 Identify trapezoids
4 Classify quadrilaterals I
5 Classify quadrilaterals II
6 Graph triangles and quadrilaterals
7 Find missing angles in triangles
8 Find missing angles in triangles using ratios
9 Triangle Angle-Sum Theorem
10 Find missing angles in quadrilaterals I
11 Find missing angles in quadrilaterals II
12 Exterior Angle Theorem
13 Interior angles of polygons
14 Identify complementary, supplementary, vertical, adjacent, and congruent angles
15 Find measures of complementary, supplementary, vertical, and adjacent angles
16 Identify alternate interior and alternate exterior angles
17 Transversals of parallel lines: name angle pairs
18 Transversals of parallel lines: find angle measures
19 Find lengths and measures of bisected line segments and angles
20 Parts of a circle
P. Transformations and congruence
1 Line symmetry
2 Rotational symmetry
3 Rotational symmetry: amount of rotation
4 Identify reflections, rotations, and translations
5 Describe a sequence of transformations
6 Translations: graph the image
7 Translations: find the coordinates
8 Translations: write the rule
9 Reflections over the x- and y-axes: graph the image
10 Reflections over the x- and y-axes: find the coordinates
11 Reflections: graph the image
12 Reflections: find the coordinates
13 Rotations: graph the image
14 Rotations: find the coordinates
15 Sequences of congruence transformations: graph the image
16 Congruence statements and corresponding parts
17 Side lengths and angle measures of congruent figures
18 Congruent triangles: SSS, SAS, and ASA
Q. Transformations and similarity
1 Similar and congruent figures
2 Dilations: graph the image
3 Dilations: find the coordinates
4 Dilations: scale factor and classification
5 Identify similar triangles
6 Side lengths and angle measures of similar triangles
7 Side lengths and angle measures of similar figures
8 Find missing side lengths in proportional triangles
R. Pythagorean theorem
1 Pythagorean theorem: find the length of the hypotenuse
2 Pythagorean theorem: find the missing leg length
3 Pythagorean theorem: find the missing leg or hypotenuse length
4 Pythagorean theorem: find the perimeter
5 Pythagorean theorem: word problems
6 Converse of the Pythagorean theorem: is it a right triangle?
S. Three-dimensional figures
1 Parts of three-dimensional figures
2 Nets of three-dimensional figures
3 Front, side, and top view
4 Base plans
5 Similar solids
T. Geometric measurement
1 Perimeter
2 Area
3 Area and perimeter: word problems
4 Area between two shapes
5 Area and circumference of circles
6 Circles: word problems
7 Area and perimeter of semicircles and quarter circles
8 Volume of cubes, prisms, and pyramids
9 Surface area of cubes, prisms, and pyramids
10 Volume of cylinders
11 Volume of cones
12 Surface area of cylinders
13 Surface area of cones
14 Volume of spheres
15 Surface area of spheres
16 Volume and surface area of similar solids
17 Perimeter and area: changes in scale
U. Number sequences
1 Identify arithmetic and geometric sequences
2 Arithmetic sequences
3 Geometric sequences
4 Number sequences: mixed review
5 Number sequences: word problems
6 Evaluate variable expressions for number sequences
7 Write variable expressions for arithmetic sequences
V. Expressions and properties
1 Write variable expressions: one operation
2 Write variable expressions: two or three operations
3 Write variable expressions from diagrams
4 Write variable expressions: word problems
5 Evaluate one-variable expressions
6 Evaluate multi-variable expressions
7 Evaluate absolute value expressions
8 Evaluate radical expressions
9 Evaluate rational expressions
10 Identify terms and coefficients
11 Sort factors of variable expressions
12 Properties of addition and multiplication
13 Multiply using the distributive property
14 Write equivalent expressions using properties
15 Add and subtract like terms
16 Add and subtract linear expressions
17 Factors of linear expressions
18 Identify equivalent linear expressions I
19 Identify equivalent linear expressions II
20 Identify equivalent linear expressions: word problems
W. One-variable equations
1 Which x satisfies an equation?
2 Write an equation from words
3 Model and solve equations using algebra tiles
4 Write and solve equations that represent diagrams
5 Properties of equality
6 Identify equivalent equations
7 Solve one-step equations
8 Solve two-step equations
• New! Solve equations with the distributive property
9 Solve multi-step equations
10 Solve equations involving like terms
11 Solve equations with variables on both sides
12 Solve equations: mixed review
13 Solve equations: complete the solution
14 Solve one-step and two-step equations: word problems
15 Find the number of solutions
16 Create equations with no solutions or infinitely many solutions
X. One-variable inequalities
1 Solutions to inequalities
2 Graph inequalities on number lines
3 Write inequalities from number lines
4 Solve one-step inequalities
5 Graph solutions to one-step inequalities
6 Solve two-step inequalities
7 Graph solutions to two-step inequalities
8 Solve multi-step inequalities
9 Graph solutions to multi-step inequalities
Y. Linear equations
1 Find the slope of a graph
2 Find the slope from two points
3 Find a missing coordinate using slope
4 Slope-intercept form: find the slope and y-intercept
5 Graph a line using slope
6 Graph a line from an equation in slope-intercept form
7 Graph a line from an equation in point-slope form
8 Write a linear equation from a slope and y-intercept
9 Write a linear equation from a graph
10 Write a linear equation from a slope and a point
11 Write a linear equation from two points
12 Convert a linear equation in standard form to slope-intercept form
13 Graph a line from an equation in standard form
14 Slopes of parallel and perpendicular lines
Z. Functions
1 Identify functions
2 Identify functions: graphs
3 Does (x, y) satisfy the linear function?
4 Identify independent and dependent variables
5 Rate of change: tables
6 Rate of change: graphs
7 Constant rate of change
8 Evaluate a linear function
9 Complete a table for a linear function
10 Complete a table and graph a linear function
11 Interpret points on the graph of a linear function
12 Write a linear function from a table
13 Compare linear functions: graphs and equations
14 Compare linear functions: tables, graphs, and equations
15 Write linear functions: word problems
16 Evaluate a linear function: word problems
17 Identify linear and nonlinear functions: graphs and equations
18 Identify linear and nonlinear functions: tables
19 Does (x, y) satisfy the nonlinear function?
20 Evaluate a nonlinear function
21 Find values using function graphs
22 Complete a table for a function graph
23 Domain and range of functions
AA. Systems of linear equations
1 Is (x, y) a solution to the system of equations?
2 Solve a system of equations by graphing
3 Solve a system of equations by graphing: word problems
4 Find the number of solutions to a system of equations by graphing
5 Find the number of solutions to a system of equations
6 Classify a system of equations by graphing
7 Classify a system of equations
8 Solve a system of equations using substitution
9 Solve a system of equations using substitution: word problems
10 Solve a system of equations using elimination
11 Solve a system of equations using elimination: word problems
12 Solve a system of equations using any method
13 Solve a system of equations using any method: word problems
BB. Monomials and polynomials
1 Identify monomials
2 Model polynomials with algebra tiles
3 Add and subtract polynomials using algebra tiles
4 Add and subtract polynomials
5 Add polynomials to find perimeter
6 Multiply monomials
7 Divide monomials
8 Multiply and divide monomials
9 Powers of monomials
10 Square and cube roots of monomials
11 Multiply polynomials using algebra tiles
12 Multiply polynomials
13 Multiply polynomials to find area
CC. Data and graphs
1 Interpret tables
2 Interpret bar graphs
3 Create bar graphs
4 Interpret line graphs
5 Create line graphs
6 Interpret line plots
7 Create line plots
8 Create and interpret line plots with fractions
9 Interpret stem-and-leaf plots
10 Create stem-and-leaf plots
11 Interpret histograms
12 Create histograms
13 Create frequency charts
14 Box plots
15 Create scatter plots
16 Identify trends with scatter plots
17 Make predictions with scatter plots
18 Interpret circle graphs
19 Circle graphs and central angles
DD. Statistics
1 Calculate mean, median, mode, and range
2 Interpret charts and graphs to find mean, median, mode, and range
3 Mean, median, mode, and range: find the missing number
4 Changes in mean, median, mode, and range
• New! Calculate mean absolute deviation
5 Calculate quartiles and interquartile range
6 Identify an outlier
7 Identify an outlier and describe the effect of removing it
8 Outliers in scatter plots
9 Scatter plots: line of best fit
10 Identify representative, random, and biased samples
EE. Probability
1 Probability of simple events
2 Probability of opposite, mutually exclusive, and overlapping events
3 Experimental probability
4 Find probabilities using two-way frequency tables
5 Make predictions
6 Compound events: find the number of outcomes
7 Compound events: find the number of sums
8 Identify independent and dependent events
9 Probability of independent and dependent events
10 Factorials
11 Permutations
12 Counting principle
13 Combination and permutation notation
High School
Algebra 1
A. Numbers
1 Compare and order rational numbers
2 Absolute value and opposites
3 Number lines
4 Convert between decimals and fractions
5 Convert between repeating decimals and fractions
6 Square roots
7 Cube roots
8 Sort rational and irrational numbers
9 Classify rational and irrational numbers
10 Properties of operations on rational and irrational numbers
11 Classify numbers
B. Operations
1 Add, subtract, multiply, and divide integers
2 Evaluate numerical expressions involving integers
3 Evaluate variable expressions involving integers
4 Add and subtract rational numbers
5 Multiply and divide rational numbers
6 Evaluate numerical expressions involving rational numbers
7 Evaluate variable expressions involving rational numbers
C. Ratios, rates, and proportions
1 Identify equivalent ratios
2 Write an equivalent ratio
3 Unit rates
4 Unit prices
5 Solve proportions
6 Solve proportions: word problems
7 Scale drawings: word problems
D. Percents
1 Convert between percents, fractions, and decimals
2 Solve percent equations
3 Percent word problems
4 Percent of change
5 Percent of change: word problems
6 Percent of change: find the original amount word problems
7 Percent of a number: tax, discount, and more
8 Find the percent: tax, discount, and more
9 Multi-step problems with percents
E. Measurement
1 Convert rates and measurements: customary units
2 Convert rates and measurements: metric units
3 Unit prices with unit conversions
4 Multi-step problems with unit conversions
5 Precision
6 Greatest possible error
7 Minimum and maximum area and volume
8 Percent error
9 Percent error: area and volume
F. Geometry
1 Perimeter
2 Area
3 Area and perimeter: word problems
4 Volume
5 Surface area
6 Similar figures: side lengths and angle measures
7 Similar triangles and indirect measurement
8 Dilations and scale factors
9 Area and perimeter of similar figures
10 Area between two shapes
11 Similar solids
12 Volume and surface area of similar solids
13 Perimeter and area: changes in scale
14 Surface area and volume: changes in scale
15 Perimeter, area, and volume: changes in scale
16 Pythagorean theorem
17 Pythagorean theorem: word problems
18 Converse of the Pythagorean theorem: is it a right triangle?
19 Special right triangles
G. Coordinate plane
1 Coordinate plane review
2 Midpoint formula: find the midpoint
3 Midpoint formula: find the endpoint
4 Distance between two points
H. Properties
1 Properties of addition and multiplication
2 Distributive property
3 Simplify variable expressions using properties
4 Properties of equality
5 Identify equivalent equations
I. Variable expressions and equations
1 Write variable expressions
2 Sort factors of variable expressions
3 Simplify variable expressions involving like terms and the distributive property
4 Identify equivalent linear expressions
5 Write variable equations
6 Does x satisfy the equation?
7 Which x satisfies an equation?
8 Solve equations using order of operations
9 Rearrange multi-variable equations
J. Solve equations
1 Model and solve equations using algebra tiles
2 Write and solve equations that represent diagrams
3 Solve one-step linear equations
4 Solve two-step linear equations
5 Solve advanced linear equations
6 Solve equations with variables on both sides
7 Solve equations: complete the solution
8 Find the number of solutions
9 Create equations with no solutions or infinitely many solutions
10 Solve linear equations: word problems
11 Solve linear equations: mixed review
K. Single-variable inequalities
1 Graph inequalities
2 Write inequalities from graphs
3 Identify solutions to inequalities
4 Solve one-step linear inequalities: addition and subtraction
5 Solve one-step linear inequalities: multiplication and division
6 Solve one-step linear inequalities
7 Graph solutions to one-step linear inequalities
8 Solve two-step linear inequalities
9 Graph solutions to two-step linear inequalities
10 Solve advanced linear inequalities
11 Graph solutions to advanced linear inequalities
12 Graph compound inequalities
13 Write compound inequalities from graphs
14 Solve compound inequalities
15 Graph solutions to compound inequalities
L. Absolute value equations and inequalities
1 Solve absolute value equations
2 Graph solutions to absolute value equations
3 Solve absolute value inequalities
4 Graph solutions to absolute value inequalities
M. Matrices
1 Matrix vocabulary
2 Matrix operation rules
3 Add and subtract matrices
4 Multiply a matrix by a scalar
5 Add and subtract scalar multiples of matrices
6 Multiply two matrices
7 Properties of matrices
N. Data and graphs
• New! Interpret line plots
• New! Create line plots
• New! Interpret histograms
• New! Create histograms
1 Interpret bar graphs, line graphs, and histograms
2 Create bar graphs, line graphs, and histograms
3 Interpret circle graphs
4 Interpret stem-and-leaf plots
5 Box plots
O. Problem solving
1 Word problems: mixed review
2 Word problems with money
3 Consecutive integer problems
4 Rate of travel: word problems
5 Weighted averages: word problems
P. Number sequences
1 Identify arithmetic and geometric sequences
2 Arithmetic sequences
3 Geometric sequences
4 Evaluate variable expressions for number sequences
5 Evaluate recursive formulas for sequences
6 Identify a sequence as explicit or recursive
7 Write variable expressions for arithmetic sequences
8 Write variable expressions for geometric sequences
9 Write a formula for a recursive sequence
10 Convert a recursive formula to an explicit formula
11 Convert an explicit formula to a recursive formula
12 Number sequences: mixed review
Q. Relations and functions
1 Relations: convert between tables, graphs, mappings, and lists of points
2 Domain and range of relations
3 Identify independent and dependent variables
4 Identify functions
5 Identify functions: vertical line test
6 Find values using function graphs
7 Evaluate a function
8 Evaluate a function: plug in an expression
9 Add and subtract functions
10 Multiply functions
11 Find the inverse of a function
12 Complete a function table from a graph
13 Complete a function table from an equation
• New! Find solutions using a table
14 Interpret the graph of a function: word problems
15 Interpret functions using everyday language
16 Rate of change: tables
17 Rate of change: graphs
R. Direct and inverse variation
1 Identify proportional relationships
2 Find the constant of variation
3 Graph a proportional relationship
4 Write direct variation equations
5 Write and solve direct variation equations
6 Identify direct variation and inverse variation
7 Write inverse variation equations
8 Write and solve inverse variation equations
S. Linear functions
1 Identify linear functions from graphs and equations
2 Identify linear functions from tables
3 Find the slope of a graph
4 Find the slope from two points
5 Find a missing coordinate using slope
6 Slope-intercept form: find the slope and y-intercept
7 Slope-intercept form: graph an equation
8 Slope-intercept form: write an equation from a graph
9 Slope-intercept form: write an equation
10 Slope-intercept form: write an equation from a table
11 Slope-intercept form: write an equation from a word problem
12 Linear equations: solve for y
13 Write linear functions: word problems
14 Complete a table and graph a linear function
15 Compare linear functions: graphs and equations
16 Compare linear functions: tables, graphs, and equations
17 Write equations in standard form
18 Standard form: find x- and y-intercepts
19 Standard form: graph an equation
20 Equations of horizontal and vertical lines
21 Graph a horizontal or vertical line
22 Point-slope form: graph an equation
23 Point-slope form: write an equation
24 Point-slope form: write an equation from a graph
25 Slopes of parallel and perpendicular lines
26 Write an equation for a parallel or perpendicular line
27 Transformations of linear functions
T. Linear inequalities
1 Does (x, y) satisfy the inequality?
2 Linear inequalities: solve for y
3 Graph a two-variable linear inequality
4 Linear inequalities: word problems
5 Is (x, y) a solution to the system of inequalities?
6 Solve systems of linear inequalities by graphing
U. Systems of linear equations
1 Is (x, y) a solution to the system of equations?
2 Solve a system of equations by graphing
3 Solve a system of equations by graphing: word problems
4 Find the number of solutions to a system of equations by graphing
5 Find the number of solutions to a system of equations
6 Classify a system of equations by graphing
7 Classify a system of equations
8 Solve a system of equations using substitution
9 Solve a system of equations using substitution: word problems
10 Solve a system of equations using elimination
11 Solve a system of equations using elimination: word problems
12 Solve a system of equations using augmented matrices
13 Solve a system of equations using augmented matrices: word problems
14 Solve a system of equations using any method
15 Solve a system of equations using any method: word problems
V. Exponents
1 Exponents with integer bases
2 Exponents with decimal and fractional bases
3 Negative exponents
4 Multiplication with exponents
5 Division with exponents
6 Multiplication and division with exponents
7 Power rule
8 Evaluate expressions using properties of exponents
9 Identify equivalent expressions involving exponents I
10 Identify equivalent expressions involving exponents II
11 Evaluate integers raised to positive rational exponents
12 Evaluate integers raised to rational exponents
13 Multiplication with rational exponents
14 Division with rational exponents
15 Power rule with rational exponents
16 Simplify expressions involving rational exponents
W. Scientific notation
1 Convert between standard and scientific notation
2 Compare numbers written in scientific notation
3 Add and subtract numbers written in scientific notation
4 Multiply numbers written in scientific notation
5 Divide numbers written in scientific notation
X. Exponential functions
1 Evaluate an exponential function
2 Match exponential functions and graphs
3 Domain and range of exponential functions: graphs
4 Domain and range of exponential functions: equations
5 Exponential growth and decay: word problems
6 Compound interest: word problems
Y. Monomials
1 Identify monomials
2 Multiply monomials
3 Divide monomials
4 Multiply and divide monomials
5 Powers of monomials
Z. Polynomials
1 Polynomial vocabulary
2 Model polynomials with algebra tiles
3 Add and subtract polynomials using algebra tiles
4 Add and subtract polynomials
5 Add polynomials to find perimeter
6 Multiply a polynomial by a monomial
7 Multiply two polynomials using algebra tiles
8 Multiply two binomials
9 Multiply two binomials: special cases
10 Multiply polynomials
AA. Factoring
1 GCF of monomials
2 Factor out a monomial
3 Factor quadratics using algebra tiles
4 Factor quadratics with leading coefficient 1
5 Factor quadratics with other leading coefficients
6 Factor quadratics: special cases
7 Factor by grouping
8 Factor polynomials
BB. Quadratic equations
1 Characteristics of quadratic functions: graphs
2 Characteristics of quadratic functions: equations
3 Complete a function table: quadratic functions
4 Transformations of quadratic functions
5 Graph quadratic functions in vertex form
6 Solve a quadratic equation using square roots
7 Solve a quadratic equation using the zero product property
8 Solve a quadratic equation by factoring
9 Complete the square
10 Solve a quadratic equation by completing the square
11 Solve a quadratic equation using the quadratic formula
12 Using the discriminant
• New! Write a quadratic function in vertex form
13 Graph quadratic functions in standard form
14 Match quadratic functions and graphs
15 Write a quadratic function from its vertex and another point
16 Systems of linear and quadratic equations
CC. Functions: linear, quadratic, exponential
1 Identify linear and exponential functions from graphs
2 Identify linear, quadratic, and exponential functions from graphs
3 Identify linear and exponential functions from tables
4 Identify linear, quadratic, and exponential functions from tables
• New! Write linear and exponential functions
5 Write linear, quadratic, and exponential functions
6 Linear functions over unit intervals
7 Exponential functions over unit intervals
8 Describe linear and exponential growth and decay
DD. Absolute value and function families
1 Complete a function table: absolute value functions
2 Graph an absolute value function
3 Domain and range of absolute value functions: graphs
4 Domain and range of absolute value functions: equations
5 Transformations of absolute value functions
• New! Function transformation rules
• New! Translations of functions
• New! Reflections of functions
• New! Dilations of functions
• New! Transformations of functions
• New! Describe function transformations
EE. Radical expressions
1 Simplify radical expressions
2 Simplify radical expressions with variables
3 Simplify radical expressions involving fractions
4 Multiply radical expressions
5 Add and subtract radical expressions
6 Simplify radical expressions using the distributive property
7 Divide radical expressions
8 Simplify radical expressions: mixed review
FF. Radical functions and equations
1 Evaluate a radical function
2 Domain and range of radical functions: graphs
3 Domain and range of radical functions: equations
4 Solve radical equations I
5 Solve radical equations II
GG. Rational functions and expressions
1 Rational functions: asymptotes and excluded values
2 Simplify complex fractions
3 Simplify rational expressions
4 Multiply and divide rational expressions
5 Divide polynomials by monomials
6 Divide polynomials using long division
7 Add and subtract rational expressions
• New! Simplify mixed rational expressions
8 Solve rational equations
9 Evaluate rational expressions
HH. Trigonometry
1 Trigonometric ratios: sin, cos, and tan
2 Find trigonometric ratios using a calculator
3 Inverses of trigonometric functions
4 Trigonometric ratios: find a side length
5 Trigonometric ratios: find an angle measure
6 Solve a right triangle
II. Logic
1 Identify hypotheses and conclusions
2 Counterexamples
JJ. Probability
1 Theoretical probability
2 Experimental probability
3 Find probabilities using two-way frequency tables
4 Find conditional probabilities using two-way frequency tables
5 Outcomes of compound events
6 Identify independent and dependent events
7 Probability of independent and dependent events
8 Counting principle
9 Permutations
10 Permutation and combination notation
KK. Statistics
1 Identify biased samples
2 Mean, median, mode, and range
3 Calculate quartiles and interquartile range
4 Identify an outlier
5 Identify an outlier and describe the effect of removing it
6 Mean absolute deviation
7 Variance and standard deviation
8 Interpret a scatter plot
9 Outliers in scatter plots
10 Match correlation coefficients to scatter plots
11 Calculate correlation coefficients
12 Scatter plots: line of best fit
13 Find the equation of a regression line
14 Interpret regression lines
15 Analyze a regression line of a data set
Geometry
A. Algebra review
1 Ratios and proportions
2 Scale drawings: word problems
3 Properties of exponents
4 Simplify radical expressions
5 Write variable expressions
6 Solve linear equations
7 Solve linear inequalities
8 Solve systems of linear equations
9 Solve a quadratic equation by factoring
10 Solve a quadratic equation using the quadratic formula
B. Points, lines, line segments, and planes
1 Lines, line segments, and rays
2 Properties of planes, lines, and points
3 Describe intersections in a plane
4 Lengths of segments on number lines
5 Additive property of length
6 Midpoints
7 Congruent line segments
8 Perpendicular Bisector Theorem
9 Midpoint formula: find the midpoint
10 Midpoint formula: find the endpoint
11 Distance formula
12 Distance to the origin in three dimensions
13 Construct the midpoint or perpendicular bisector of a segment
C. Angles
1 Angle vocabulary
2 Angle measures
3 Identify complementary, supplementary, vertical, adjacent, and congruent angles
4 Find measures of complementary, supplementary, vertical, and adjacent angles
5 Angle bisectors
6 Construct an angle bisector
7 Construct a congruent angle
8 Proofs involving angles
D. Parallel and perpendicular lines
1 Identify parallel, intersecting, and skew lines and planes
2 Construct a perpendicular line
3 Transversals: name angle pairs
4 Transversals of parallel lines: find angle measures
5 Construct parallel lines
6 Proofs involving parallel lines I
7 Proofs involving parallel lines II
E. Lines in the coordinate plane
1 Coordinate plane review
2 Slopes of lines
3 Graph a linear equation
4 Equations of lines
5 Slopes of parallel and perpendicular lines
6 Equations of parallel and perpendicular lines
7 Find the distance between a point and a line
8 Find the distance between two parallel lines
F. Introduction to triangles
1 Classify triangles
2 Triangle Angle-Sum Theorem
3 Exterior Angle Theorem
4 Exterior Angle Inequality
G. Two-dimensional figures
1 Polygon vocabulary
2 Interior angles of polygons
3 Exterior angles of polygons
4 Review: interior and exterior angles of polygons
5 Construct an equilateral triangle or regular hexagon
6 Construct a square
H. Three-dimensional figures
1 Parts of three-dimensional figures
2 Three-dimensional figure vocabulary
3 Nets and drawings of three-dimensional figures
4 Cross sections of three-dimensional figures
5 Solids of revolution
I. Logic
1 Identify hypotheses and conclusions
2 Counterexamples
3 Conditionals
4 Negations
5 Converses, inverses, and contrapositives
6 Biconditionals
7 Truth tables
8 Truth values
J. Introduction to congruent figures
1 Congruence statements and corresponding parts
2 Solve problems involving corresponding parts
3 Identify congruent figures
K. Congruent triangles
1 SSS and SAS Theorems
2 Proving triangles congruent by SSS and SAS
3 ASA and AAS Theorems
4 Proving triangles congruent by ASA and AAS
5 SSS, SAS, ASA, and AAS Theorems
6 SSS Theorem in the coordinate plane
7 Proving triangles congruent by SSS, SAS, ASA, and AAS
8 Proofs involving corresponding parts of congruent triangles
9 Congruency in isosceles and equilateral triangles
10 Proofs involving isosceles triangles
11 Hypotenuse-Leg Theorem
L. Transformations
1 Classify congruence transformations
2 Translations: graph the image
3 Translations: find the coordinates
4 Translations: write the rule
5 Reflections: graph the image
6 Reflections: find the coordinates
7 Rotate polygons about a point
8 Rotations: graph the image
9 Rotations: find the coordinates
10 Sequences of congruence transformations: graph the image
11 Transformations that carry a polygon onto itself
12 Congruence transformations: mixed review
13 Dilations: graph the image
14 Dilations: find the coordinates
• New! Dilations: find length, perimeter, and area
15 Dilations: scale factor and classification
• New! Dilations: find the scale factor and center of the dilation
16 Dilations and parallel lines
M. Triangles
1 Midsegments of triangles
2 Triangles and bisectors
3 Identify medians, altitudes, angle bisectors, and perpendicular bisectors
4 Angle-side relationships in triangles
5 Triangle Inequality Theorem
6 Construct the circumcenter or incenter of a triangle
7 Construct the centroid or orthocenter of a triangle
8 Proofs involving triangles I
9 Proofs involving triangles II
N. Quadrilaterals
1 Identify trapezoids
2 Classify quadrilaterals I
3 Classify quadrilaterals II
4 Find missing angles in quadrilaterals
5 Graph quadrilaterals
6 Properties of parallelograms
7 Proving a quadrilateral is a parallelogram
8 Properties of rhombuses
9 Properties of squares and rectangles
10 Properties of trapezoids
11 Properties of kites
12 Review: properties of quadrilaterals
13 Proofs involving triangles and quadrilaterals
14 Proofs involving quadrilaterals
O. Symmetry
1 Line symmetry
2 Rotational symmetry
3 Draw lines of symmetry
4 Count lines of symmetry
P. Similarity
1 Similarity ratios
2 Similarity statements
3 Identify similar figures
4 Side lengths and angle measures in similar figures
5 Similar triangles and indirect measurement
6 Perimeters of similar figures
7 Similarity rules for triangles
8 Similar triangles and similarity transformations
9 Similarity of circles
10 Triangle Proportionality Theorem
11 Similarity and altitudes in right triangles
12 Areas of similar figures
13 Prove similarity statements
14 Prove proportions or angle congruences using similarity
15 Proofs involving similarity in right triangles
16 Prove the Pythagorean theorem
Q. Right triangles
1 Pythagorean theorem
2 Converse of the Pythagorean theorem
3 Pythagorean Inequality Theorems
4 Special right triangles
R. Trigonometry
1 Trigonometric ratios: sin, cos, and tan
2 Trigonometric ratios: csc, sec, and cot
3 Trigonometric ratios in similar right triangles
4 Trigonometric functions of complementary angles
5 Find trigonometric functions of special angles
6 Find trigonometric functions using a calculator
7 Inverses of trigonometric functions
8 Trigonometric ratios: find a side length
9 Trigonometric ratios: find an angle measure
10 Solve a right triangle
11 Law of Sines
12 Law of Cosines
13 Solve a triangle
14 Area of a triangle: sine formula
15 Area of a triangle: Law of Sines
S. Area and perimeter
1 Perimeter
2 Area of rectangles and squares
3 Area of parallelograms and triangles
4 Area of trapezoids
5 Area and perimeter in the coordinate plane I
6 Area and perimeter in the coordinate plane II
7 Area and circumference of circles
8 Area of compound figures
9 Area between two shapes
10 Area and perimeter of similar figures
11 Perimeter and area: changes in scale
12 Heron's formula
13 Area and perimeter mixed review
T. Surface area and volume
1 Surface area and volume of rectangular prisms
2 Surface area of prisms and cylinders
3 Surface area of pyramids and cones
4 Surface area of spheres
5 Volume of prisms and cylinders
6 Volume of pyramids and cones
7 Volume of spheres
• New! Volume of compound figures
8 Similar solids: find the missing length
9 Surface area and volume of similar solids
10 Surface area and volume: changes in scale
11 Perimeter, area, and volume: changes in scale
12 Surface area and volume review
U. Circles
1 Parts of a circle
2 Central angles and arc measures
3 Arc length
4 Convert between radians and degrees
5 Radians and arc length
6 Area of sectors
7 Circle measurements: mixed review
8 Arcs and chords
9 Tangent lines
10 Perimeter of polygons with an inscribed circle
11 Inscribed angles
12 Angles in inscribed right triangles
13 Angles in inscribed quadrilaterals I
14 Angles in inscribed quadrilaterals II
15 Construct a tangent line to a circle
16 Construct an equilateral triangle inscribed in a circle
17 Construct a square inscribed in a circle
18 Construct a regular hexagon inscribed in a circle
19 Construct the inscribed or circumscribed circle of a triangle
V. Circles and parabolas in the coordinate plane
1 Find the center of a circle
2 Find the radius or diameter of a circle
3 Write equations of circles in standard form from graphs
4 Write equations of circles in standard form using properties
5 Convert equations of circles from general to standard form
6 Find properties of circles from equations in general form
7 Graph circles from equations in standard form
8 Graph circles from equations in general form
9 Find the vertex of a parabola
10 Find the focus or directrix of a parabola
11 Find the axis of symmetry of a parabola
12 Write equations of parabolas in vertex form from graphs
13 Write equations of parabolas in vertex form using properties
14 Convert equations of parabolas from general to vertex form
15 Find properties of a parabola from equations in general form
16 Graph parabolas
W. Measurement
1 Convert rates and measurements: customary units
2 Convert rates and measurements: metric units
3 Convert square and cubic units of length
4 Precision
5 Greatest possible error
6 Minimum and maximum area and volume
7 Percent error
8 Percent error: area and volume
9 Calculate density, mass, and volume
X. Probability
1 Theoretical and experimental probability
2 Outcomes of compound events
3 Identify independent and dependent events
4 Probability of independent and dependent events
5 Counting principle
6 Permutations
7 Permutation and combination notation
8 Find probabilities using combinations and permutations
9 Find probabilities using two-way frequency tables
10 Identify independent events
11 Find conditional probabilities
12 Independence and conditional probability
13 Find conditional probabilities using two-way frequency tables
14 Geometric probability
15 Find probabilities using the addition rule
Y. Vectors
1 Compass directions and vectors
2 Find the magnitude of a vector
3 Find the component form of a vector
4 Find the component form of a vector given its magnitude and direction angle
5 Graph a resultant vector using the triangle method
6 Graph a resultant vector using the parallelogram method
7 Add vectors
8 Subtract vectors
Algebra 2
A. Variable expressions
1 Evaluate variable expressions involving integers
2 Evaluate variable expressions involving rational numbers
3 Simplify variable expressions using properties
4 Sort factors of single-variable expressions
5 Sort factors of multi-variable expressions
B. Equations
1 Solve linear equations
2 Solve linear equations: word problems
3 Solve equations: complete the solution
4 Solve absolute value equations
5 Graph solutions to absolute value equations
6 Solve multi-variable equations
C. Inequalities
1 Graph a linear inequality in one variable
2 Write inequalities from graphs
3 Write a linear inequality: word problems
4 Solve linear inequalities
5 Graph solutions to linear inequalities
6 Solve absolute value inequalities
7 Graph solutions to absolute value inequalities
8 Graph a two-variable linear inequality
9 Graph solutions to two-variable absolute value inequalities
10 Graph solutions to quadratic inequalities
11 Solve quadratic inequalities
D. Functions
1 Domain and range
2 Identify functions
3 Evaluate functions
4 Find values using function graphs
5 Complete a table for a function graph
6 Find the slope of a linear function
7 Graph a linear function
8 Write the equation of a linear function
9 Linear functions over unit intervals
10 Average rate of change
11 Graph an absolute value function
12 Domain and range of absolute value functions: graphs
13 Domain and range of absolute value functions: equations
14 Transformations of absolute value functions
E. Systems of equations
1 Is (x, y) a solution to the system of equations?
2 Solve a system of equations by graphing
3 Solve a system of equations by graphing: word problems
4 Find the number of solutions to a system of equations
5 Classify a system of equations
6 Solve a system of equations using substitution
7 Solve a system of equations using substitution: word problems
8 Solve a system of equations using elimination
9 Solve a system of equations using elimination: word problems
10 Solve a system of equations using any method
11 Solve a system of equations using any method: word problems
12 Solve a system of equations in three variables using substitution
13 Solve a system of equations in three variables using elimination
14 Determine the number of solutions to a system of equations in three variables
15 Solve a system of linear and quadratic equations
16 Solve a nonlinear system of equations
F. Systems of inequalities
1 Is (x, y) a solution to the system of inequalities?
2 Solve systems of linear inequalities by graphing
3 Solve systems of linear and absolute value inequalities by graphing
4 Find the vertices of a solution set
5 Linear programming
G. Matrices
1 Matrix vocabulary
2 Matrix operation rules
3 Add and subtract matrices
4 Multiply a matrix by a scalar
5 Add and subtract scalar multiples of matrices
6 Multiply two matrices
7 Simplify matrix expressions
8 Properties of matrices
9 Solve matrix equations
10 Determinant of a matrix
11 Is a matrix invertible?
12 Inverse of a matrix
13 Identify inverse matrices
14 Solve matrix equations using inverses
15 Identify transformation matrices
16 Transformation matrices: write the vertex matrix
17 Transformation matrices: graph the image
18 Solve a system of equations using augmented matrices
19 Solve a system of equations using augmented matrices: word problems
H. Real numbers
1 Sort rational and irrational numbers
2 Classify rational and irrational numbers
3 Properties of operations on rational and irrational numbers
I. Complex numbers
1 Introduction to complex numbers
2 Add and subtract complex numbers
3 Complex conjugates
4 Multiply complex numbers
5 Divide complex numbers
6 Add, subtract, multiply, and divide complex numbers
7 Absolute values of complex numbers
8 Powers of i
J. Factoring
1 Factor out a monomial
2 Factor quadratics using algebra tiles
3 Factor quadratics
4 Factor using a quadratic pattern
5 Factor by grouping
6 Factor sums and differences of cubes
7 Factor polynomials
K. Quadratic functions
1 Characteristics of quadratic functions: graphs
2 Characteristics of quadratic functions: equations
3 Complete a function table: quadratic functions
4 Transformations of quadratic functions
5 Graph a quadratic function
6 Solve a quadratic equation using square roots
7 Solve a quadratic equation using the zero product property
8 Solve a quadratic equation by factoring
9 Complete the square
10 Solve a quadratic equation by completing the square
11 Solve a quadratic equation using the quadratic formula
12 Using the discriminant
13 Match quadratic functions and graphs
14 Write a quadratic function from its zeroes
15 Write a quadratic function from its vertex and another point
L. Polynomials
1 Polynomial vocabulary
2 Add and subtract polynomials
3 Multiply polynomials
4 Divide polynomials using long division
5 Divide polynomials using synthetic division
6 Evaluate polynomials using synthetic division
7 Solve polynomial equations
8 Find the roots of factored polynomials
9 Write a polynomial from its roots
10 Rational root theorem
11 Complex conjugate theorem
12 Conjugate root theorems
13 Descartes' Rule of Signs
14 Match polynomials and graphs
15 Domain and range of polynomials
16 Fundamental Theorem of Algebra
17 Pascal's triangle
18 Pascal's triangle and the Binomial Theorem
19 Binomial Theorem I
20 Binomial Theorem II
M. Radical functions and expressions
1 Roots of integers
2 Roots of rational numbers
3 Find roots using a calculator
4 Simplify radical expressions with variables I
5 Simplify radical expressions with variables II
6 Nth roots
7 Multiply radical expressions
8 Divide radical expressions
9 Add and subtract radical expressions
10 Simplify radical expressions using the distributive property
11 Simplify radical expressions using conjugates
12 Domain and range of radical functions
13 Solve radical equations
N. Rational exponents
1 Evaluate rational exponents
2 Multiplication with rational exponents
3 Division with rational exponents
4 Power rule
5 Simplify expressions involving rational exponents I
6 Simplify expressions involving rational exponents II
O. Rational functions and expressions
1 Rational functions: asymptotes and excluded values
2 Evaluate rational expressions I
3 Evaluate rational expressions II
4 Simplify rational expressions
5 Multiply and divide rational expressions
6 Add and subtract rational expressions
7 Solve rational equations
P. Function operations
1 Add and subtract functions
2 Multiply functions
3 Divide functions
4 Composition of linear functions: find a value
5 Composition of linear functions: find an equation
6 Composition of linear and quadratic functions: find a value
7 Composition of linear and quadratic functions: find an equation
8 Identify inverse functions
9 Find values of inverse functions from tables
10 Find values of inverse functions from graphs
11 Find inverse functions and relations
Q. Families of functions
1 Function transformation rules
2 Translations of functions
3 Reflections of functions
4 Dilations of functions
5 Transformations of functions
6 Describe function transformations
R. Variation
1 Write and solve direct variation equations
2 Write and solve inverse variation equations
3 Classify variation
4 Write joint and combined variation equations I
5 Find the constant of variation
6 Write joint and combined variation equations II
7 Solve variation equations
S. Logarithms
1 Convert between exponential and logarithmic form: rational bases
2 Convert between natural exponential and logarithmic form
3 Convert between exponential and logarithmic form: all bases
4 Evaluate logarithms
5 Evaluate natural logarithms
6 Change of base formula
7 Evaluate logarithms using a calculator
8 Identify properties of logarithms
9 Product property of logarithms
10 Quotient property of logarithms
11 Power property of logarithms
12 Properties of logarithms: mixed review
13 Evaluate logarithms using properties
T. Exponential and logarithmic functions
1 Domain and range of exponential and logarithmic functions
2 Evaluate exponential functions
3 Match exponential functions and graphs
4 Solve exponential equations using factoring
5 Solve exponential equations using common logarithms
6 Solve exponential equations using natural logarithms
7 Solve logarithmic equations I
8 Solve logarithmic equations II
9 Exponential functions over unit intervals
10 Identify linear and exponential functions
11 Describe linear and exponential growth and decay
12 Exponential growth and decay: word problems
13 Compound interest: word problems
14 Continuously compounded interest: word problems
U. Parabolas
1 Identify the direction a parabola opens
2 Find the vertex of a parabola
3 Find the focus or directrix of a parabola
4 Find the axis of symmetry of a parabola
5 Write equations of parabolas in vertex form from graphs
6 Write equations of parabolas in vertex form using properties
7 Convert equations of parabolas from general to vertex form
8 Find properties of a parabola from equations in general form
9 Graph parabolas
V. Circles
1 Find the center of a circle
2 Find the radius or diameter of a circle
3 Write equations of circles in standard form from graphs
4 Write equations of circles in standard form using properties
5 Convert equations of circles from general to standard form
6 Find properties of circles from equations in general form
7 Graph circles
W. Ellipses
1 Find the center, vertices, or co-vertices of an ellipse
2 Find the length of the major or minor axes of an ellipse
3 Find the foci of an ellipse
4 Write equations of ellipses in standard form from graphs
5 Write equations of ellipses in standard form using properties
6 Convert equations of ellipses from general to standard form
7 Find properties of ellipses from equations in general form
X. Hyperbolas
1 Find the center of a hyperbola
2 Find the vertices of a hyperbola
3 Find the length of the transverse or conjugate axes of a hyperbola
4 Find the equations for the asymptotes of a hyperbola
5 Find the foci of a hyperbola
6 Write equations of hyperbolas in standard form from graphs
7 Write equations of hyperbolas in standard form using properties
8 Convert equations of hyperbolas from general to standard form
9 Find properties of hyperbolas from equations in general form
Y. Angle measures
1 Convert between radians and degrees
2 Radians and arc length
3 Graphs of angles
4 Quadrants
5 Coterminal angles
6 Reference angles
Z. Trigonometry
1 Pythagorean Theorem and its converse
2 Special right triangles
3 Trigonometric ratios: sin, cos, and tan
4 Trigonometric ratios: csc, sec, and cot
5 Trigonometric ratios in similar right triangles
6 Find trigonometric ratios using the unit circle
7 Sin, cos, and tan of special angles
8 Csc, sec, and cot of special angles
9 Find trigonometric functions using a calculator
10 Inverses of sin, cos, and tan
11 Inverses of csc, sec, and cot
12 Solve trigonometric equations I
13 Solve trigonometric equations II
14 Trigonometric ratios: find a side length
15 Trigonometric ratios: find an angle measure
16 Solve a right triangle
17 Law of Sines
18 Law of Cosines
19 Solve a triangle
20 Area of a triangle: sine formula
21 Area of a triangle: Law of Sines
AA. Trigonometric functions
1 Find properties of sine functions
2 Write equations of sine functions from graphs
3 Write equations of sine functions using properties
4 Graph sine functions
5 Graph translations of sine functions
6 Find properties of cosine functions
7 Write equations of cosine functions from graphs
8 Write equations of cosine functions using properties
9 Graph cosine functions
10 Graph translations of cosine functions
11 Graph sine and cosine functions
12 Graph translations of sine and cosine functions
BB. Trigonometric identities
1 Complementary angle identities
2 Symmetry and periodicity of trigonometric functions
3 Trigonometric identities I
4 Trigonometric identities II
CC. Sequences and series
1 Find terms of an arithmetic sequence
2 Find terms of a geometric sequence
3 Evaluate explicit formulas for sequences
4 Evaluate recursive formulas for sequences
5 Classify formulas and sequences
6 Write a formula for an arithmetic sequence
7 Write a formula for a geometric sequence
8 Write a formula for a recursive sequence
9 Sequences: mixed review
10 Identify arithmetic and geometric series
11 Introduction to sigma notation
12 Find the sum of an arithmetic series
13 Find the sum of a finite geometric series
14 Introduction to partial sums
15 Partial sums of arithmetic series
16 Partial sums of geometric series
17 Partial sums: mixed review
18 Convergent and divergent geometric series
19 Find the value of an infinite geometric series
20 Write a repeating decimal as a fraction
DD. Probability
1 Introduction to probability
2 Calculate probabilities of events
3 Counting principle
4 Combinations and permutations
5 Find probabilities using combinations and permutations
6 Find probabilities using two-way frequency tables
7 Identify independent events
8 Probability of independent and dependent events
9 Find conditional probabilities
10 Independence and conditional probability
11 Find conditional probabilities using two-way frequency tables
12 Find probabilities using the addition rule
EE. Probability distributions
1 Identify discrete and continuous random variables
2 Write a discrete probability distribution
3 Graph a discrete probability distribution
4 Expected values of random variables
5 Variance of random variables
6 Standard deviation of random variables
7 Write the probability distribution for a game of chance
8 Expected values for a game of chance
9 Choose the better bet
10 Find probabilities using the binomial distribution
11 Find probabilities using the normal distribution I
12 Find probabilities using the normal distribution II
13 Find z-values
14 Find values of normal variables
15 Distributions of sample means
FF. Statistics
1 Identify biased samples
2 Variance and standard deviation
3 Identify an outlier
4 Identify an outlier and describe the effect of removing it
5 Outliers in scatter plots
6 Find the equation of a regression line
7 Interpret regression lines
8 Analyze a regression line of a data set
9 Find confidence intervals for population means
10 Find confidence intervals for population proportions
11 Interpret confidence intervals for population means
12 Experiment design
13 Analyze the results of an experiment using simulations
Precalculus
A. Functions
1 Domain and range
2 Identify functions
3 Evaluate functions
4 Find values using function graphs
5 Complete a table for a function graph
6 Find the slope of a linear function
7 Graph a linear function
8 Write the equation of a linear function
9 Linear functions over unit intervals
10 Average rate of change
11 Add, subtract, multiply, and divide functions
12 Composition of functions
13 Identify inverse functions
14 Find values of inverse functions from tables
15 Find values of inverse functions from graphs
16 Find inverse functions and relations
B. Families of functions
1 Function transformation rules
2 Translations of functions
3 Reflections of functions
4 Dilations of functions
5 Transformations of functions
6 Describe function transformations
C. Quadratic functions
1 Find the maximum or minimum value of a quadratic function
2 Characteristics of quadratic functions
3 Graph a quadratic function
4 Match quadratic functions and graphs
5 Solve a quadratic equation using square roots
6 Solve a quadratic equation by factoring
7 Solve a quadratic equation by completing the square
8 Solve a quadratic equation using the quadratic formula
9 Using the discriminant
D. Polynomials
1 Divide polynomials using long division
2 Divide polynomials using synthetic division
3 Evaluate polynomials using synthetic division
4 Find the roots of factored polynomials
5 Write a polynomial from its roots
6 Rational root theorem
7 Complex conjugate theorem
8 Conjugate root theorems
9 Descartes' Rule of Signs
10 Fundamental Theorem of Algebra
11 Match polynomials and graphs
12 Domain and range of polynomials
13 Factor sums and differences of cubes
14 Solve equations with sums and differences of cubes
15 Factor using a quadratic pattern
16 Solve equations using a quadratic pattern
17 Pascal's triangle
18 Pascal's triangle and the Binomial Theorem
19 Binomial Theorem I
20 Binomial Theorem II
E. Rational functions
1 Rational functions: asymptotes and excluded values
2 Solve rational equations
3 Check whether two rational functions are inverses
F. Exponential and logarithmic functions
1 Domain and range of exponential and logarithmic functions
2 Convert between exponential and logarithmic form
3 Solve exponential equations using factoring
4 Evaluate logarithms
5 Change of base formula
6 Product property of logarithms
7 Quotient property of logarithms
8 Power property of logarithms
9 Evaluate logarithms using properties
10 Solve exponential equations using logarithms
11 Solve logarithmic equations with one logarithm
12 Solve logarithmic equations with multiple logarithms
13 Exponential functions over unit intervals
14 Identify linear and exponential functions
15 Describe linear and exponential growth and decay
16 Exponential growth and decay: word problems
17 Compound interest: word problems
G. Radical functions
1 Domain and range of radical functions
2 Solve radical equations
H. Roots and rational exponents
1 Roots of integers
2 Roots of rational numbers
3 Find roots using a calculator
4 Evaluate rational exponents
5 Operations with rational exponents
6 Simplify radical expressions with variables
7 Nth roots
8 Simplify expressions involving rational exponents
I. Systems of equations
1 Solve a system of equations by graphing
2 Solve a system of equations by graphing: word problems
3 Classify a system of equations
4 Solve a system of equations using substitution
5 Solve a system of equations using substitution: word problems
6 Solve a system of equations using elimination
7 Solve a system of equations using elimination: word problems
8 Solve a system of equations using augmented matrices
9 Solve a system of equations using augmented matrices: word problems
10 Solve a system of equations in three variables using substitution
11 Solve a system of equations in three variables using elimination
12 Determine the number of solutions to a system of equations in three variables
J. Systems of inequalities
1 Solve systems of linear inequalities by graphing
2 Solve systems of linear and absolute value inequalities by graphing
3 Find the vertices of a solution set
4 Linear programming
K. Nonlinear inequalities
1 Graph solutions to quadratic inequalities
2 Solve quadratic inequalities
3 Graph solutions to higher-degree inequalities
4 Solve higher-degree inequalities
L. Matrices
1 Matrix vocabulary
2 Matrix operation rules
3 Add and subtract matrices
4 Multiply a matrix by a scalar
5 Add and subtract scalar multiples of matrices
6 Multiply two matrices
7 Simplify matrix expressions
8 Properties of matrices
9 Solve matrix equations
10 Determinant of a matrix
11 Is a matrix invertible?
12 Inverse of a 2 x 2 matrix
13 Inverse of a 3 x 3 matrix
14 Identify inverse matrices
15 Solve matrix equations using inverses
16 Identify transformation matrices
17 Transformation matrices: write the vertex matrix
18 Transformation matrices: graph the image
M. Trigonometry
1 Convert between radians and degrees
2 Radians and arc length
3 Quadrants
4 Coterminal and reference angles
5 Find trigonometric ratios using right triangles
6 Find trigonometric ratios using the unit circle
7 Find trigonometric ratios of special angles
8 Find trigonometric ratios using reference angles
9 Inverses of trigonometric functions
10 Solve trigonometric equations
11 Trigonometric ratios: find a side length
12 Trigonometric ratios: find an angle measure
13 Solve a right triangle
14 Law of Sines
15 Law of Cosines
16 Solve a triangle
17 Area of a triangle: sine formula
18 Area of a triangle: Heron's formula
N. Trigonometric functions
1 Find properties of sine functions
2 Write equations of sine functions from graphs
3 Write equations of sine functions using properties
4 Graph sine functions
5 Graph translations of sine functions
6 Find properties of cosine functions
7 Write equations of cosine functions from graphs
8 Write equations of cosine functions using properties
9 Graph cosine functions
10 Graph translations of cosine functions
11 Graph sine and cosine functions
12 Graph translations of sine and cosine functions
O. Trigonometric identities
1 Complementary angle identities
2 Symmetry and periodicity of trigonometric functions
3 Trigonometric identities I
4 Trigonometric identities II
P. Conic sections
1 Find properties of parabolas
2 Write equations of parabolas in vertex form
3 Graph parabolas
4 Find properties of circles
5 Write equations of circles in standard form
6 Graph circles
7 Find properties of ellipses
8 Find the eccentricity of an ellipse
9 Write equations of ellipses in standard form
10 Find properties of hyperbolas
11 Find the eccentricity of a hyperbola
12 Write equations of hyperbolas in standard form
13 Convert equations of conic sections from general to standard form
Q. Real numbers
1 Sort rational and irrational numbers
2 Classify rational and irrational numbers
3 Properties of operations on rational and irrational numbers
R. Complex numbers
1 Add and subtract complex numbers
2 Complex conjugates
3 Multiply and divide complex numbers
4 Add, subtract, multiply, and divide complex numbers
5 Absolute values of complex numbers
6 Powers of i
S. Complex plane
1 Introduction to the complex plane
2 Graph complex numbers
3 Addition in the complex plane
4 Subtraction in the complex plane
5 Graph complex conjugates
6 Absolute value in the complex plane
7 Midpoints in the complex plane
8 Distance in the complex plane
T. Polar form
1 Find the modulus and argument of a complex number
2 Convert complex numbers from rectangular to polar form
3 Convert complex numbers from polar to rectangular form
4 Convert complex numbers between rectangular and polar form
5 Match polar equations and graphs
U. Two-dimensional vectors
1 Find the magnitude of a vector
2 Find the component form of a vector
3 Find the direction angle of a vector
4 Find the component form of a vector from its magnitude and direction angle
5 Graph a resultant vector using the triangle method
6 Graph a resultant vector using the parallelogram method
7 Add vectors
8 Subtract vectors
9 Find the magnitude and direction of a vector sum
10 Multiply a vector by a scalar
11 Find the magnitude of a vector scalar multiple
12 Determine the direction of a vector scalar multiple
13 Find a unit vector
14 Linear combinations of vectors
V. Three-dimensional vectors
1 Find the magnitude of a three-dimensional vector
2 Find the component form of a three-dimensional vector
3 Add and subtract three-dimensional vectors
4 Scalar multiples of three-dimensional vectors
5 Find a three-dimensional unit vector
6 Linear combinations of three-dimensional vectors
W. Sequences and series
1 Find terms of a sequence
2 Find terms of a recursive sequence
3 Identify a sequence as explicit or recursive
4 Find a recursive formula
5 Find recursive and explicit formulas
6 Convert a recursive formula to an explicit formula
7 Convert an explicit formula to a recursive formula
8 Convert between explicit and recursive formulas
9 Identify arithmetic and geometric series
10 Introduction to sigma notation
11 Find the sum of an arithmetic series
12 Find the sum of a finite geometric series
13 Introduction to partial sums
14 Partial sums of arithmetic series
15 Partial sums of geometric series
16 Partial sums: mixed review
17 Convergent and divergent geometric series
18 Find the value of an infinite geometric series
19 Write a repeating decimal as a fraction
X. Probability
1 Introduction to probability
2 Calculate probabilities of events
3 Combinations and permutations
4 Find probabilities using combinations and permutations
5 Find probabilities using two-way frequency tables
6 Identify independent events
7 Find conditional probabilities
8 Independence and conditional probability
9 Find conditional probabilities using two-way frequency tables
10 Find probabilities using the addition rule
Y. Probability distributions
1 Identify discrete and continuous random variables
2 Write a discrete probability distribution
3 Graph a discrete probability distribution
4 Expected values of random variables
5 Variance of random variables
6 Standard deviation of random variables
7 Write the probability distribution for a game of chance
8 Expected values for a game of chance
9 Choose the better bet
10 Find probabilities using the binomial distribution
11 Mean, variance, and standard deviation of binomial distributions
12 Find probabilities using the normal distribution I
13 Find probabilities using the normal distribution II
14 Find z-values
15 Find values of normal variables
16 Distributions of sample means
17 The Central Limit Theorem
18 Use normal distributions to approximate binomial distributions
Z. Statistics
1 Identify biased samples
2 Variance and standard deviation
3 Identify an outlier
4 Identify an outlier and describe the effect of removing it
5 Outliers in scatter plots
6 Match correlation coefficients to scatter plots
7 Calculate correlation coefficients
8 Find the equation of a regression line
9 Interpret regression lines
10 Analyze a regression line of a data set
11 Analyze a regression line using statistics of a data set
12 Find confidence intervals for population means
13 Find confidence intervals for population proportions
14 Interpret confidence intervals for population means
15 Experiment design
16 Analyze the results of an experiment using simulations
Calculus
A. Functions
1 Find values of functions from graphs
2 Add, subtract, multiply, and divide functions
3 Composition of functions
4 Identify inverse functions
5 Find values of inverse functions from tables
6 Find values of inverse functions from graphs
7 Find inverse functions and relations
B. Families of functions
1 Function transformation rules
2 Translations of functions
3 Reflections of functions
4 Dilations of functions
5 Transformations of functions
6 Describe function transformations
C. Trigonometric functions
1 Convert between radians and degrees
2 Quadrants
3 Coterminal and reference angles
4 Find trigonometric ratios using right triangles
5 Find trigonometric ratios using the unit circle
6 Find trigonometric ratios using reference angles
7 Inverses of trigonometric functions
8 Find properties of sine functions
9 Write equations of sine functions from graphs
10 Write equations of sine functions using properties
11 Graph sine functions
12 Find properties of cosine functions
13 Write equations of cosine functions from graphs
14 Write equations of cosine functions using properties
15 Graph cosine functions
16 Graph sine and cosine functions
D. Exponential and logarithmic functions
1 Domain and range of exponential and logarithmic functions
2 Convert between exponential and logarithmic form
3 Evaluate logarithms
4 Change of base formula
5 Product property of logarithms
6 Quotient property of logarithms
7 Power property of logarithms
8 Evaluate logarithms using properties
9 Describe linear and exponential growth and decay
E. Introduction to limits
1 Find limits using graphs
2 Find one-sided limits using graphs
3 Determine if a limit exists
F. Calculate limits
1 Find limits using addition, subtraction, and multiplication laws
2 Find limits using the division law
3 Find limits using power and root laws
4 Find limits using limit laws
5 Find limits of polynomials and rational functions
6 Find limits involving factorization and rationalization
7 Find limits involving absolute value functions
8 Find limits involving trigonometric functions
G. Limits involving infinity
1 Find limits at vertical asymptotes using graphs
2 Determine end behavior using graphs
3 Determine end behavior of polynomial and rational functions
H. Rational functions
1 Find the limit at a vertical asymptote of a rational function I
2 Find the limit at a vertical asymptote of a rational function II
I. Continuity
1 Identify graphs of continuous functions
2 Determine continuity using graphs
3 Determine one-sided continuity using graphs
4 Find and analyze points of discontinuity using graphs
5 Determine continuity on an interval using graphs
6 Determine the continuity of a piecewise function at a point
7 Make a piecewise function continuous
8 Intermediate Value Theorem
J. Introduction to derivatives
1 Average rate of change I
2 Average rate of change II
3 Find instantaneous rates of change
4 Velocity as a rate of change
5 Find values of derivatives using limits
6 Find the slope of a tangent line using limits
7 Find equations of tangent lines using limits
K. Derivative rules
1 Sum and difference rules
2 Product rule
3 Quotient rule
4 Power rule I
5 Power rule II
6 Chain rule
7 Inverse function rule
L. Calculate derivatives
1 Find derivatives of polynomials
2 Find derivatives of rational functions
3 Find derivatives of trigonometric functions I
4 Find derivatives of trigonometric functions II
5 Find derivatives of exponential functions
6 Find derivatives of logarithmic functions
7 Find derivatives of inverse trigonometric functions
8 Find derivatives of radical functions
9 Find derivatives using the product rule I
10 Find derivatives using the product rule II
11 Find derivatives using the quotient rule I
12 Find derivatives using the quotient rule II
13 Find derivatives using the chain rule I
14 Find derivatives using the chain rule II
M. Derivative strategies
1 Find derivatives using implicit differentiation
2 Find tangent lines using implicit differentiation
3 Find derivatives using logarithmic differentiation
N. Calculate higher derivatives
1 Find higher derivatives of polynomials
2 Find higher derivatives of rational and radical functions
3 Find second derivatives of trigonometric, exponential, and logarithmic functions
4 Find higher derivatives of exponential and trigonometric functions
5 Find higher derivatives of logarithmic and power functions
No comments:
Post a Comment