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
