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 |