Here is the details in what is covered during 7th grade Math. I’ve added a printable to make it easier.
Number theory
Prime or composite
Prime factorization
Multiplicative inverses
Divisibility rules
Greatest common factor
Least common multiple
GCF and LCM: word problems
Sort factors of numerical expressions
Scientific notation
Compare numbers written in scientific notation
Classify numbers
Factorials
Integers
Understanding integers
Integers on number lines
Graph integers on horizontal and vertical number lines
Absolute value and opposite integers
Quantities that combine to zero: word problems
Compare and order integers
Integer inequalities with absolute values
Operations with integers
Integer addition rules
Add integers using counters
Add integers using number lines
Add integers
Add three or more integers
Integer subtraction rules
Subtract integers using counters
Subtract integers using number lines
Subtract integers
Integer addition and subtraction rules
Add and subtract integers using counters
Add and subtract integers
Complete addition and subtraction equations with integers
Add and subtract integers: word problems
Integer multiplication rules
Multiply integers
Integer division rules
Equal quotients of integers
Divide integers
Integer multiplication and division rules
Multiply and divide integers
Complete multiplication and division equations with integers
Add, subtract, multiply, and divide integers
Evaluate numerical expressions involving integers
Decimals
Decimal numbers review
Compare and order decimals
Decimal number lines
Round decimals
Operations with decimals
Add and subtract decimals
Add and subtract decimals: word problems
Multiply decimals
Multiply decimals and whole numbers: word problems
Divide decimals
Divide decimals by whole numbers: word problems
Estimate sums, differences, and products of decimals
Add, subtract, multiply, and divide decimals: word problems
Multi-step inequalities with decimals
Maps with decimal distances
Evaluate numerical expressions involving decimals
Fractions and mixed numbers
Understanding fractions: word problems
Equivalent fractions
Write fractions in lowest terms
Fractions: word problems with graphs and tables
Least common denominator
Compare and order fractions
Compare fractions: word problems
Convert between mixed numbers and improper fractions
Compare mixed numbers and improper fractions
Round mixed numbers
Operations with fractions
Add and subtract fractions
Add and subtract fractions: word problems
Add and subtract mixed numbers
Add and subtract mixed numbers: word problems
Inequalities with addition and subtraction of fractions and mixed numbers
Estimate sums and differences of mixed numbers
Multiply fractions and whole numbers
Multiply two fractions using models
Multiply fractions
Multiply mixed numbers
Multiply fractions and mixed numbers: word problems
Divide fractions
Divide mixed numbers
Divide fractions and mixed numbers: word problems
Estimate products and quotients of fractions and mixed numbers
Add, subtract, multiply, and divide fractions and mixed numbers: word problems
Maps with fractional distances
Evaluate numerical expressions involving fractions
Rational numbers
Convert fractions or mixed numbers to decimals
Convert decimals to fractions or mixed numbers
Convert between decimals and fractions or mixed numbers
Identify rational numbers
Classify rational numbers using a diagram
Absolute value of rational numbers
Compare rational numbers
Put rational numbers in order
Add and subtract positive and negative decimals
Add and subtract positive and negative fractions
Add and subtract rational numbers
Rational numbers: find the sign
Apply addition and subtraction rules
Identify quotients of rational numbers: word problems
Multiply and divide positive and negative decimals
Multiply and divide positive and negative fractions
Multiply and divide rational numbers
Apply multiplication and division rules
Exponents and square roots
Understanding exponents
Evaluate exponents
Solve equations with variable exponents
Exponents with negative bases
Exponents with decimal and fractional bases
Powers of ten
Evaluate numerical expressions involving exponents
Square roots of perfect squares
Estimate square roots
Ratios, rates, and proportions
Understanding ratios
Identify equivalent ratios
Write an equivalent ratio
Equivalent ratios: word problems
Unit rates
Calculate unit rates with fractions
Word problems involving ratios
Compare rates: word problems
Scale drawings: word problems
Scale drawings: scale factor word problems
Do the ratios form a proportion?
Do the ratios form a proportion: word problems
Solve proportions
Solve proportions: word problems
Estimate population size using proportions
Rate of change: tables
Rate of change: graphs
Constant rate of change
Proportional relationships
Find the constant of proportionality from a table
Write equations for proportional relationships from tables
Identify proportional relationships by graphing
Find the constant of proportionality from a graph
Write equations for proportional relationships from graphs
Identify proportional relationships from graphs and equations
Identify proportional relationships from tables
Complete a table and graph a proportional relationship
Graph a proportional relationship using slope
Interpret graphs of proportional relationships
Write and solve equations for proportional relationships
Percents
What percentage is illustrated?
Convert between percents, fractions, and decimals
Compare percents to fractions and decimals
Estimate percents of numbers
Percents of numbers and money amounts
Percents of numbers: word problems
Solve percent equations
Solve percent equations: word problems
Percent of change
Percent of change: word problems
Percent of change: find the original amount word problems
Consumer math
Add, subtract, multiply, and divide money amounts: word problems
Price lists
Unit prices
Unit prices with unit conversions
Unit prices: find the total price
Percent of a number: tax, discount, and more
Which is the better coupon?
Find the percent: tax, discount, and more
Sale prices: find the original price
Multi-step problems with percents
Estimate tips
Simple interest
Compound interest
Problem solving and estimation
Estimate to solve word problems
Multi-step word problems
Multi-step word problems: identify reasonable answers
Guess-and-check word problems
Use Venn diagrams to solve problems
Find the number of each type of coin
Elapsed time word problems
Units of measurement
Estimate customary measurements
Estimate metric measurements
Compare and convert customary units
Mixed customary units
Compare and convert metric units
Convert between customary and metric systems
Precision
Celsius and Fahrenheit temperatures
Coordinate plane
Coordinate plane review
Quadrants and axes
Follow directions on a coordinate plane
Distance between two points
Number sequences
Identify arithmetic and geometric sequences
Arithmetic sequences
Geometric sequences
Number sequences: mixed review
Number sequences: word problems
Evaluate variable expressions for number sequences
Write variable expressions for arithmetic sequences
Expressions and properties
Write variable expressions: one operation
Write variable expressions: two or three operations
Write variable expressions: word problems
Evaluate linear expressions
Evaluate multi-variable expressions
Evaluate absolute value expressions
Evaluate nonlinear expressions
Identify terms and coefficients
Sort factors of variable expressions
Properties of addition and multiplication
Multiply using the distributive property
Solve equations using properties
Write equivalent expressions using properties
Add and subtract linear expressions
Add and subtract like terms: with exponents
Factors of linear expressions
Identify equivalent linear expressions using algebra tiles
Identify equivalent linear expressions
Identify equivalent linear expressions: word problems
One-variable equations
Which x satisfies an equation?
Write an equation from words
Model and solve equations using algebra tiles
Write and solve equations that represent diagrams
Solve one-step equations
Solve two-step equations
Solve equations: word problems
Solve equations involving like terms
Solve equations: complete the solution
One-variable inequalities
Solutions to inequalities
Graph inequalities on number lines
Write inequalities from number lines
Solve one-step inequalities
Graph solutions to one-step inequalities
One-step inequalities: word problems
Solve two-step inequalities
Graph solutions to two-step inequalities
Two-variable equations
Does (x, y) satisfy the equation?
Identify independent and dependent variables
Find a value using two-variable equations
Solve word problems involving two-variable equations
Complete a table for a two-variable relationship
Write a two-variable equation
Identify the graph of an equation
Graph a two-variable equation
Interpret a graph: word problems
Write an equation from a graph using a table
Linear functions
Find the slope from a graph
Find the slope from two points
Find a missing coordinate using slope
Find the slope from an equation
Graph a line using slope
Write a linear function
Identify linear and nonlinear functions
Two-dimensional figures
Identify and classify polygons
Name, measure, and classify angles
Classify triangles
Triangle inequality
Identify trapezoids
Classify quadrilaterals
Graph triangles and quadrilaterals
Find missing angles in triangles
Find missing angles in triangles using ratios
Find missing angles in quadrilaterals
Interior angles of polygons
Lines, line segments, and rays
Parallel, perpendicular, and intersecting lines
Identify complementary, supplementary, vertical, and adjacent angles
Find measures of complementary, supplementary, vertical, and adjacent angles
Identify alternate interior and alternate exterior angles
Transversals of parallel lines: name angle pairs
Transversals of parallel lines: find angle measures
Find lengths and measures of bisected line segments and angles
Parts of a circle
Central angles of circles
Transformations and congruence
Line symmetry
Rotational symmetry
Rotational symmetry: amount of rotation
Identify reflections, rotations, and translations
Combinations of reflections, rotations, and translations
Translations: graph the image
Translations: find the coordinates
Reflections over the x- and y-axes: graph the image
Reflections over the x- and y-axes: find the coordinates
Reflections: graph the image
Reflections: find the coordinates
Rotations: graph the image
Rotations: find the coordinates
Similar and congruent figures
Congruence statements and corresponding parts
Side lengths and angle measures of congruent figures
Side lengths and angle measures of similar figures
Similar figures and indirect measurement
Pythagorean theorem
Pythagorean theorem: find the length of the hypotenuse
Pythagorean theorem: find the missing leg length
Pythagorean theorem: word problems
Converse of the Pythagorean theorem: is it a right triangle?
Three-dimensional figures
Bases of three-dimensional figures
Nets of three-dimensional figures
Front, side, and top view
Cross-sections of three-dimensional figures
Geometric measurement
Perimeter
Area of rectangles and parallelograms
Area of triangles and trapezoids
Area and perimeter: word problems
Area of circles
Circumference of circles
Circles: word problems
Volume of cubes and prisms
Volume of cubes and rectangular prisms: word problems
Volume of pyramids
Volume of cylinders
Surface area of cubes and prisms
Surface area of pyramids
Surface area of cylinders
Perimeter and area: changes in scale
Semicircles: calculate area, perimeter, radius, and diameter
Quarter circles: calculate area, perimeter, and radius
Area of compound figures with triangles
Area of compound figures with triangles, semicircles, and quarter circles
Area between two shapes
Data and graphs
Interpret tables
Interpret line plots
Create line plots
Create and interpret line plots with fractions
Interpret stem-and-leaf plots
Create stem-and-leaf plots
Interpret bar graphs
Create bar graphs
Interpret histograms
Create histograms
Create frequency charts
Interpret circle graphs
Circle graphs and central angles
Interpret line graphs
Create line graphs
Box plots
Identify trends with scatter plots
Make predictions with scatter plots
Statistics
Calculate mean, median, mode, and range
Interpret charts and graphs to find mean, median, mode, and range
Mean, median, mode, and range: find the missing number
Changes in mean, median, mode, and range
Calculate mean absolute deviation
Quartiles
Identify an outlier
Identify representative, random, and biased samples
Probability
Probability of simple events
Probability of simple events and opposite events
Probability of mutually exclusive events and overlapping events
Experimental probability
Make predictions using experimental probability
Make predictions using theoretical probability
Compound events: find the number of outcomes
Compound events: find the number of sums
Probability of compound events
Identify independent and dependent events
Probability of independent and dependent events
Counting principle
