MATH GRADE 8

Math Grade 8 Tutoring can be fun. Here is a list of all of the math skills students learn in eighth grade! These skills are organized into categories for easy understanding.

SAMPLE TOPICS for Math Grade 8

Number theory Three-dimensional figures
A.1 Factors S.1 Parts of three-dimensional figures
A.2 Divisibility rules S.2 Nets of three-dimensional figures
A.3 Prime or composite S.3 Front, side, and top view
A.4 Prime factorization S.4 Base plans
A.5 Greatest common factor S.5 Similar solids
A.6 Least common multiple Geometric measurement
A.7 GCF and LCM: word problems T.1 Perimeter
A.8 Classify numbers T.2 Area
Integers T.3 Area and perimeter: word problems
B.1 Integers on number lines T.4 Area between two shapes
B.2 Graph integers on horizontal and vertical number lines T.5 Circles, semicircles, and quarter circles
B.3 Absolute value and opposite integers T.6 Circles: word problems
B.4 Compare and order integers T.7 Volume of cubes, prisms, and pyramids
B.5 Integer inequalities with absolute values T.8 Surface area of cubes, prisms, and pyramids
Operations with integers T.9 Volume of cylinders
C.1 Integer addition and subtraction rules T.10 Volume of cones
C.2 Add and subtract integers using counters T.11 Surface area of cylinders
C.3 Add and subtract integers T.12 Surface area of cones
C.4 Add and subtract three or more integers T.13 Volume of spheres
C.5 Add and subtract integers: word problems T.14 Surface area of spheres
C.6 Integer multiplication and division rules T.15 Volume and surface area of similar solids
C.7 Multiply and divide integers T.16 Perimeter, area, and volume: changes in scale
C.8 Evaluate numerical expressions involving integers Number sequences
Rational numbers U.1 Identify arithmetic and geometric sequences
D.1 Write fractions in lowest terms U.2 Arithmetic sequences
D.2 Least common denominator U.3 Geometric sequences
D.3 Round decimals and mixed numbers U.4 Number sequences: mixed review
D.4 Convert between decimals and fractions or mixed numbers U.5 Number sequences: word problems
D.5 Identify rational and irrational numbers U.6 Evaluate variable expressions for number sequences
D.6 Absolute value of rational numbers U.7 Write variable expressions for arithmetic sequences
D.7 Compare rational numbers Expressions and properties
D.8 Put rational numbers in order V.1 Write variable expressions
Operations with rational numbers V.2 Write variable expressions from diagrams
E.1 Reciprocals and multiplicative inverses V.3 Write variable expressions: word problems
E.2 Add and subtract rational numbers V.4 Evaluate one-variable expressions
E.3 Add and subtract rational numbers: word problems V.5 Evaluate multi-variable expressions
E.4 Apply addition and subtraction rules V.6 Evaluate absolute value expressions
E.5 Multiply and divide rational numbers V.7 Evaluate radical expressions
E.6 Multiply and divide rational numbers: word problems V.8 Evaluate rational expressions
E.7 Apply multiplication and division rules V.9 Identify terms and coefficients
E.8 Apply addition, subtraction, multiplication, and division rules V.10 Sort factors of expressions
E.9 Evaluate numerical expressions involving rational numbers V.11 Properties of addition and multiplication
Exponents and roots V.12 Multiply using the distributive property
F.1 Understanding exponents V.13 Write equivalent expressions using properties
F.2 Evaluate exponents V.14 Add and subtract like terms
F.3 Solve equations with variable exponents V.15 Add, subtract, and multiply linear expressions
F.4 Exponents with negative bases V.16 Factors of linear expressions
F.5 Exponents with decimal and fractional bases V.17 Identify equivalent linear expressions
F.6 Understanding negative exponents One-variable equations
F.7 Evaluate negative exponents W.1 Which x satisfies an equation?
F.8 Multiplication with exponents W.2 Write an equation from words
F.9 Division with exponents W.3 Model and solve equations using algebra tiles
F.10 Multiplication and division with exponents W.4 Write and solve equations that represent diagrams
F.11 Power rule W.5 Properties of equality
F.12 Evaluate expressions using properties of exponents W.6 Solve one-step equations
F.13 Identify equivalent expressions involving exponents W.7 Solve two-step equations
F.14 Square roots of perfect squares W.8 Solve multi-step equations
F.15 Positive and negative square roots W.9 Solve equations involving like terms
F.16 Estimate positive and negative square roots W.10 Solve equations with variables on both sides
F.17 Relationship between squares and square roots W.11 Solve equations: mixed review
F.18 Solve equations involving squares and square roots W.12 Solve equations: complete the solution
F.19 Cube roots of perfect cubes W.13 Solve equations: word problems
F.20 Solve equations involving cubes and cube roots W.14 Find the number of solutions
F.21 Estimate cube roots W.15 Create equations with no solutions or infinitely many solutions
Scientific notation One-variable inequalities
G.1 Convert between standard and scientific notation X.1 Solutions to inequalities
G.2 Compare numbers written in scientific notation X.2 Graph inequalities on number lines
G.3 Multiply numbers written in scientific notation X.3 Write inequalities from number lines
G.4 Divide numbers written in scientific notation X.4 Solve one-step inequalities
Ratios, rates, and proportions X.5 Graph solutions to one-step inequalities
H.1 Understanding ratios X.6 Solve two-step inequalities
H.2 Identify equivalent ratios X.7 Graph solutions to two-step inequalities
H.3 Write an equivalent ratio X.8 Solve multi-step inequalities
H.4 Equivalent ratios: word problems X.9 Graph solutions to multi-step inequalities
H.5 Unit rates Linear equations
H.6 Compare ratios: word problems Y.1 Find the slope of a graph
H.7 Solve proportions: word problems Y.2 Find the slope from two points
H.8 Do the ratios form a proportion? Y.3 Find a missing coordinate using slope
H.9 Do the ratios form a proportion: word problems Y.4 Find the slope of a linear equation
H.10 Solve proportions Y.5 Graph a line using slope
H.11 Estimate population size using proportions Y.6 Graph a line from an equation in slope-intercept form
H.12 Scale drawings: word problems Y.7 Write a linear equation from a slope and y-intercept
Proportional relationships Y.8 Write a linear equation from a graph
I.1 Find the constant of proportionality from a table Y.9 Write a linear equation from a slope and a point
I.2 Write equations for proportional relationships from tables Y.10 Write a linear equation from two points
I.3 Identify proportional relationships by graphing Y.11 Convert a linear equation in standard form to slope-intercept form
I.4 Find the constant of proportionality from a graph Y.12 Graph a line from an equation in standard form
I.5 Write equations for proportional relationships from graphs Y.13 Slopes of parallel and perpendicular lines
I.6 Identify proportional relationships Functions
I.7 Graph proportional relationships Z.1 Identify functions
I.8 Interpret graphs of proportional relationships Z.2 Does (x, y) satisfy the linear function?
I.9 Write and solve equations for proportional relationships Z.3 Identify independent and dependent variables
Percents Z.4 Rate of change
J.1 Convert between percents, fractions, and decimals Z.5 Constant rate of change
J.2 Compare percents to fractions and decimals Z.6 Evaluate a linear function
J.3 Find what percent one number is of another Z.7 Complete a table for a linear function
J.4 Find what percent one number is of another: word problems Z.8 Complete a table and graph a linear function
J.5 Estimate percents of numbers Z.9 Interpret the graph of a linear function: word problems
J.6 Percents of numbers and money amounts Z.10 Write a linear function from a table
J.7 Percents of numbers: word problems Z.11 Compare linear functions: graphs, tables, and equations
J.8 Compare percents of numbers Z.12 Write linear functions: word problems
J.9 Solve percent equations Z.13 Interpret linear functions
J.10 Percent of change Z.14 Identify linear and nonlinear functions
J.11 Percent of change: word problems Z.15 Does (x, y) satisfy the nonlinear function?
Consumer math Z.16 Evaluate a nonlinear function
K.1 Price lists Z.17 Find values using function graphs
K.2 Unit prices Z.18 Complete a table for a function graph
K.3 Unit prices with unit conversions Systems of linear equations
K.4 Unit prices: find the total price AA.1 Is (x, y) a solution to the system of equations?
K.5 Percent of a number: tax, discount, and more AA.2 Solve a system of equations by graphing
K.6 Find the percent: tax, discount, and more AA.3 Solve a system of equations by graphing: word problems
K.7 Sale prices: find the original price AA.4 Find the number of solutions to a system of equations by graphing
K.8 Multi-step problems with percents AA.5 Find the number of solutions to a system of equations
K.9 Estimate tips AA.6 Classify a system of equations by graphing
K.10 Simple interest AA.7 Classify a system of equations
K.11 Compound interest AA.8 Solve a system of equations using substitution
Units of measurement AA.9 Solve a system of equations using substitution: word problems
L.1 Convert rates and measurements: customary units AA.10 Solve a system of equations using elimination
L.2 Convert rates and measurements: metric units AA.11 Solve a system of equations using elimination: word problems
L.3 Mixed customary units Monomials and polynomials
L.4 Convert between customary and metric systems BB.1 Identify monomials
L.5 Precision BB.2 Model polynomials with algebra tiles
L.6 Convert between Celsius and Fahrenheit BB.3 Add and subtract polynomials using algebra tiles
Problem solving BB.4 Add and subtract polynomials
M.1 Multi-step word problems BB.5 Add polynomials to find perimeter
M.2 Guess-and-check word problems BB.6 Multiply monomials
M.3 Use Venn diagrams to solve problems BB.7 Divide monomials
M.4 Elapsed time word problems BB.8 Multiply and divide monomials
Coordinate plane BB.9 Powers of monomials
N.1 Coordinate plane review BB.10 Square and cube roots of monomials
N.2 Quadrants and axes BB.11 Multiply polynomials using algebra tiles
N.3 Follow directions on a coordinate plane BB.12 Multiply polynomials
N.4 Find the distance between two points BB.13 Multiply polynomials to find area
Two-dimensional figures Data and graphs
O.1 Identify and classify polygons CC.1 Interpret tables
O.2 Classify triangles CC.2 Interpret bar graphs
O.3 Identify trapezoids CC.3 Create bar graphs
O.4 Classify quadrilaterals CC.4 Interpret line graphs
O.5 Graph triangles and quadrilaterals CC.5 Create line graphs
O.6 Find missing angles in triangles CC.6 Interpret line plots
O.7 Find missing angles in quadrilaterals CC.7 Create line plots
O.8 Exterior Angle Theorem CC.8 Create and interpret line plots with fractions
O.9 Interior angles of polygons CC.9 Interpret stem-and-leaf plots
O.10 Identify complementary, supplementary, vertical, adjacent, and congruent angles CC.10 Interpret histograms
O.11 Find measures of complementary, supplementary, vertical, and adjacent angles CC.11 Create histograms
O.12 Transversal of parallel lines CC.12 Create frequency charts
O.13 Find lengths and measures of bisected line segments and angles CC.13 Interpret box-and-whisker plots
O.14 Parts of a circle CC.14 Scatter plots
Transformations and congruence CC.15 Interpret circle graphs
P.1 Symmetry CC.16 Circle graphs and central angles
P.2 Identify reflections, rotations, and translations CC.17 Choose the best type of graph
P.3 Translations: graph the image Statistics
P.4 Translations: find the coordinates DD.1 Calculate mean, median, mode, and range
P.5 Reflections: graph the image DD.2 Interpret charts to find mean, median, mode, and range
P.6 Reflections: find the coordinates DD.3 Mean, median, mode, and range: find the missing number
P.7 Rotations: graph the image DD.4 Changes in mean, median, mode, and range
P.8 Rotations: find the coordinates DD.5 Quartiles
P.9 Congruence statements and corresponding parts DD.6 Identify an outlier
P.10 Side lengths and angle measures of congruent figures DD.7 Identify an outlier and describe the effect of removing it
P.11 Congruent triangles: SSS, SAS, and ASA DD.8 Outliers in scatter plots
Transformations and similarity DD.9 Scatter plots: line of best fit
Q.1 Similar and congruent figures DD.10 Identify representative, random, and biased samples
Q.2 Dilations: graph the image Probability
Q.3 Dilations: find the coordinates EE.1 Probability of simple events
Q.4 Dilations: scale factor and classification EE.2 Probability of opposite, mutually exclusive, and overlapping events
Q.5 Side lengths and angle measures of similar figures EE.3 Experimental probability
Pythagorean theorem EE.4 Make predictions
R.1 Pythagorean theorem: find the length of the hypotenuse EE.5 Compound events: find the number of outcomes
R.2 Pythagorean theorem: find the missing leg length EE.6 Identify independent and dependent events
R.3 Pythagorean theorem: find the perimeter EE.7 Probability of independent and dependent events
R.4 Pythagorean theorem: word problems EE.8 Factorials
R.5 Converse of the Pythagorean theorem: is it a right triangle? EE.9 Permutations
EE.10 Counting principle
EE.11 Combination and permutation notation