Here is the more detailed list for our 8th Grade Math. I’ve added a printable version to make life easier.

**Number theory**

Factors

Divisibility rules

Prime or composite

Prime factorization

Greatest common factor

Least common multiple

GCF and LCM: word problems

Sort factors of numerical expressions

Classify numbers

**Integers**

Integers on number lines

Graph integers on horizontal and vertical number lines

Absolute value and opposite integers

Compare and order integers

Integer inequalities with absolute values

**Operations with integers**

Integer addition and subtraction rules

Add and subtract integers using counters

Add and subtract integers

Add and subtract three or more integers

Add and subtract integers: word problems

Integer multiplication and division rules

Multiply and divide integers

Evaluate numerical expressions involving integers

**Rational numbers**

Write fractions in lowest terms

Least common denominator

Round decimals and mixed numbers

Convert between decimals and fractions or mixed numbers

Identify rational and irrational numbers

Absolute value of rational numbers

Compare rational numbers

Put rational numbers in order

**Operations with rational numbers**

Reciprocals and multiplicative inverses

Add and subtract rational numbers

Add and subtract rational numbers: word problems

Apply addition and subtraction rules

Multiply and divide rational numbers

Multiply and divide rational numbers: word problems

Apply multiplication and division rules

Apply addition, subtraction, multiplication, and division rules

Evaluate numerical expressions involving rational numbers

**Exponents and roots**

Understanding exponents

Evaluate exponents

Solve equations with variable exponents

Exponents with negative bases

Exponents with decimal and fractional bases

Understanding negative exponents

Evaluate negative exponents

Multiplication with exponents

Division with exponents

Multiplication and division with exponents

Power rule

Evaluate expressions using properties of exponents

Identify equivalent expressions involving exponents I

Identify equivalent expressions involving exponents II

Square roots of perfect squares

Estimate positive square roots

Positive and negative square roots

Estimate positive and negative square roots

Relationship between squares and square roots

Solve equations using square roots

Cube roots of positive perfect cubes

Cube roots of positive and negative perfect cubes

Solve equations using cube roots

Estimate cube roots

**Scientific notation**

Convert between standard and scientific notation

Compare numbers written in scientific notation

Add and subtract numbers written in scientific notation

Multiply numbers written in scientific notation

Divide numbers written in scientific notation

**Ratios, rates, and proportions**

Understanding ratios

Identify equivalent ratios

Write an equivalent ratio

Equivalent ratios: word problems

Unit rates

Word problems involving ratios

Solve proportions: word problems

Do the ratios form a proportion?

Do the ratios form a proportion: word problems

Solve proportions

Estimate population size using proportions

Scale drawings: word problems

Scale drawings: scale factor word problems

**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

Graph proportional relationships

Interpret graphs of proportional relationships

Write and solve equations for proportional relationships

**Percents**

Convert between percents, fractions, and decimals

Compare percents to fractions and decimals

Find what percent one number is of another

Find what percent one number is of another: word problems Estimate percents of numbers

Percents of numbers and money amounts Percents of numbers: word problems Compare percents of numbers

Solve percent equations

Percent of change

Percent of change: word problems

Percent of change: find the original amount word problems

**Consumer math**

Price lists

Unit prices

Unit prices with unit conversions

Unit prices: find the total price

Percent of a number: tax, discount, and more Find the percent: tax, discount, and more Sale prices: find the original price

Multi-step problems with percents

Estimate tips

Simple interest

Compound interest

**Units of measurement**

Convert rates and measurements: customary units Convert rates and measurements: metric units Mixed customary units

Convert between customary and metric systems Precision

Convert between Celsius and Fahrenheit

**Problem solving**

Multi-step word problems Guess-and-check word problems

Use Venn diagrams to solve problems Elapsed time word problems

**Coordinate plane**

Coordinate plane review

Quadrants and axes

Follow directions on a coordinate plane Find the distance between two points

**Two-dimensional figures**

Identify and classify polygons

Classify triangles

Identify trapezoids

Classify quadrilaterals

Graph triangles and quadrilaterals

Find missing angles in triangles

Find missing angles in triangles using ratios

Triangle Angle-Sum Theorem

Find missing angles in quadrilaterals

Exterior Angle Theorem

Interior angles of polygons

Identify complementary, supplementary, vertical, adjacent, and congruent 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

**Transformations and congruence**

Line symmetry

Rotational symmetry

Rotational symmetry: amount of rotation

Identify reflections, rotations, and translations

Describe a sequence of transformations

Translations: graph the image

Translations: find the coordinates

Translations: write the rule

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

Compositions of congruence transformations: graph the image Congruence statements and corresponding parts

Side lengths and angle measures of congruent figures Congruent triangles: SSS, SAS, and ASA

**Transformations and similarity**

Similar and congruent figures Dilations: graph the image

Dilations: find the coordinates Dilations: scale factor and classification Identify similar triangles

Side lengths and angle measures of similar triangles Side lengths and angle measures of similar figures Find missing side lengths in proportional triangles

**Pythagorean theorem**

Pythagorean theorem: find the length of the hypotenuse Pythagorean theorem: find the missing leg length

Pythagorean theorem: find the missing leg or hypotenuse length Pythagorean theorem: find the perimeter

Pythagorean theorem: word problems

Converse of the Pythagorean theorem: is it a right triangle?

**Three-dimensional figures**

Parts of three-dimensional figures Nets of three-dimensional figures Front, side, and top view

Base plans

Similar solids

**Geometric measurement**

Perimeter

Area

Area and perimeter: word problems

Area between two shapes

Area and circumference of circles

Circles: word problems

Area and perimeter of semicircles and quarter circles Volume of cubes, prisms, and pyramids

Surface area of cubes, prisms, and pyramids Volume of cylinders

Volume of cones

Surface area of cylinders

Surface area of cones

Volume of spheres

Surface area of spheres

Volume and surface area of similar solids

Perimeter and area: changes in scale

**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 from diagrams

Write variable expressions: word problems

Evaluate one-variable expressions

Evaluate multi-variable expressions

Evaluate absolute value expressions

Evaluate radical expressions

Evaluate rational expressions

Identify terms and coefficients

Sort factors of variable expressions

Properties of addition and multiplication

Multiply using the distributive property

Write equivalent expressions using properties

Add and subtract like terms

Add and subtract linear expressions

Factors of linear expressions

Identify equivalent linear expressions I

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

Properties of equality

Identify equivalent equations

Solve one-step equations

Solve two-step equations

Solve multi-step equations

Solve equations involving like terms

Solve equations with variables on both sides

Solve equations: mixed review

Solve equations: complete the solution

Solve equations: word problems

Find the number of solutions

Create equations with no solutions or infinitely many solutions

**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

Solve two-step inequalities

Graph solutions to two-step inequalities

Solve multi-step inequalities

Graph solutions to multi-step inequalities

**Linear equations**

Find the slope of a graph

Find the slope from two points

Find a missing coordinate using slope

Slope-intercept form: find the slope and y-intercept

Graph a line using slope

Graph a line from an equation in slope-intercept form

Graph a line from an equation in point-slope form

Write a linear equation from a slope and y-intercept

Write a linear equation from a graph

Write a linear equation from a slope and a point

Write a linear equation from two points

Convert a linear equation in standard form to slope-intercept form Graph a line from an equation in standard form

Slopes of parallel and perpendicular lines

**Functions**

Identify functions

Identify functions: graphs

Does (x, y) satisfy the linear function?

Identify independent and dependent variables

Rate of change: tables

Rate of change: graphs

Constant rate of change

Evaluate a linear function

Complete a table for a linear function

Complete a table and graph a linear function

Interpret the graph of a linear function: word problems

Write a linear function from a table

Compare linear functions: graphs and equations

Compare linear functions: tables, graphs, and equations Write linear functions: word problems

Interpret linear functions

Identify linear and nonlinear functions: graphs and equations Identify linear and nonlinear functions: tables

Does (x, y) satisfy the nonlinear function?

Evaluate a nonlinear function

Find values using function graphs

Complete a table for a function graph

Domain and range of functions

**Systems of linear equations**

Is (x, y) a solution to the system of equations?

Solve a system of equations by graphing

Solve a system of equations by graphing: word problems

Find the number of solutions to a system of equations by graphing Find the number of solutions to a system of equations

Classify a system of equations by graphing

Classify a system of equations

Solve a system of equations using substitution

Solve a system of equations using substitution: word problems Solve a system of equations using elimination

Solve a system of equations using elimination: word problems Solve a system of equations using any method

Solve a system of equations using any method: word problems

**Monomials and polynomials**

Identify monomials

Model polynomials with algebra tiles

Add and subtract polynomials using algebra tiles Add and subtract polynomials

Add polynomials to find perimeter

Multiply monomials

Divide monomials

Multiply and divide monomials

Powers of monomials

Square and cube roots of monomials

Multiply polynomials using algebra tiles

Multiply polynomials

Multiply polynomials to find area

**Data and graphs**

Interpret tables

Interpret bar graphs

Create bar graphs

Interpret line graphs

Create line graphs

Interpret line plots

Create line plots

Create and interpret line plots with fractions Interpret stem-and-leaf plots

Create stem-and-leaf plots

Interpret histograms

Create histograms

Create frequency charts

Box plots

Create scatter plots

Identify trends with scatter plots Make predictions with scatter plots Interpret circle graphs

Circle graphs and central angles

**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

Quartiles

Identify an outlier

Identify an outlier and describe the effect of removing it

Outliers in scatter plots

Scatter plots: line of best fit

Identify representative, random, and biased samples

**Probability**

Probability of simple events

Probability of opposite, mutually exclusive, and overlapping events Experimental probability

Find probabilities using two-way frequency tables

Make predictions

Compound events: find the number of outcomes

Compound events: find the number of sums

Identify independent and dependent events

Probability of independent and dependent events

Factorials

Permutations

Counting principle

Combination and permutation notation