7th Grade Math

7th Grade Math

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

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