8th grade math is the bridge from arithmetic to formal algebra. Students work with irrational numbers, exponents, linear equations, functions, transformations and the Pythagorean theorem while learning to explain and justify their methods.

Key Topics Covered:

Rational and irrational numbers, exponent laws, scientific notation, linear equations, slope and graphs, systems of equations, functions, transformations, the Pythagorean theorem, volume and scatter plots.

Parent Tip:

8th grade is a major algebra foundation year, and many students enter Algebra 1 the next fall. Confidence with linear equations, slope and functions now makes Algebra 1 far easier.

Work confidently with rational and irrational numbers and exponent laws

Solve linear equations and systems of two equations

Graph and write linear functions and interpret slope and intercept

Describe transformations and use them to show congruence and similarity

Apply the Pythagorean theorem and find the volume of cylinders, cones and spheres

Analyze scatter plots, lines of fit and two-way tables

Student learning 8th grade math online with a live tutor at home in the USA

No.	Topic	What We Cover
01	Rational and Irrational Numbers	Sort numbers into rational and irrational and see why numbers such as the square root of 2 cannot be written as fractions.
02	Square Roots, Cube Roots and Pi	Find square and cube roots of perfect squares and cubes, and place irrational numbers such as pi on a number line.
03	Terminating and Repeating Decimals	Convert fractions to decimals with long division and write repeating decimals as fractions.
04	Integer Exponent Laws	Apply the product, quotient and power rules, including zero and negative exponents.
05	Scientific Notation	Write very large and very small numbers, such as the distance to the sun, in scientific notation.
06	Operations With Scientific Notation	Add, multiply and compare numbers in scientific notation and choose sensible units.
07	Estimating and Comparing Real Numbers	Estimate irrational values and use estimates to compare and order real numbers.
08	Proportional Relationships and Slope	Compare proportional relationships in tables, graphs and equations and see slope as unit rate.
09	Slope From Graphs and Similar Triangles	Use similar triangles to show that slope is the same between any two points on a line.
10	Quarter 1 Review	Review number and exponent skills. A mock test and parent report follow.

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Student in a tutoring session with their tutor

Warm-up (5 min)

Quick mental math and a review of the previous session

Core Teaching (25 min)

New concept from the lesson eBook, with examples and guided practice

Guided Practice (15 min)

Student works through problems with tutor support

Independent Practice (10 min)

Student completes the in-class quiz independently

Wrap-up (5 min)

Summary, 2 take-home quizzes and a preview of the next session

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No.	Topic	What We Cover
11	Simplifying and Expanding Linear Expressions	Combine like terms and use the distributive property to expand and simplify.
12	Solving One-Variable Linear Equations	Solve multi-step equations and check each solution.
13	Variables on Both Sides	Solve equations with variables on both sides and with parentheses.
14	One, None or Infinitely Many Solutions	Decide how many solutions an equation has and explain why.
15	Slope-Intercept Form	Read slope and y-intercept from y = mx + b and connect them to a graph.
16	Graphing Linear Equations	Graph lines from equations, tables and intercepts, including with digital tools.
17	Writing Linear Models	Write equations from tables, graphs and word problems, such as a phone plan or a taxi fare.
18	Systems of Equations: Graphing	Solve two linear equations by graphing and read the intersection as the solution.
19	Systems of Equations: Substitution and Elimination	Solve systems algebraically and decide which method fits each problem.
20	Quarter 2 Review	Review equations and systems. A mock test and parent report follow.

No.	Topic	What We Cover
21	What Is a Function?	Define a function as one output for each input and test relations with tables and graphs.
22	Representing Functions	Move between tables, graphs, equations and verbal descriptions of the same function.
23	Linear and Nonlinear Functions	Tell linear from nonlinear functions using rate of change.
24	Comparing Functions	Compare two functions given in different forms, such as a graph and an equation.
25	Rate of Change and Initial Value	Interpret slope and y-intercept in context, such as cost per month and a sign-up fee.
26	Rigid Motions	Translate, reflect and rotate figures on the coordinate plane and describe each move.
27	Congruence and Transformations	Show two figures are congruent by a sequence of rigid motions.
28	Dilations and Similarity	Use dilations and scale factors to describe similar figures.
29	Angles: Triangle Sum and Parallel Lines	Use the triangle angle sum, exterior angles and transversals to find unknown angles.
30	Quarter 3 Review	Review functions and transformations. A mock test and parent report follow.

No.	Topic	What We Cover
31	The Pythagorean Theorem	Prove and use a squared + b squared = c squared to find unknown sides of right triangles.
32	Converse and Applications	Use the converse to test for right triangles and solve real-world problems, such as ladder and ramp lengths.
33	Distance on the Coordinate Plane	Use the Pythagorean theorem to find the distance between two points.
34	Volume of Cylinders	Find volume of cylinders and solve problems about cans and tanks.
35	Volume of Cones and Spheres	Use formulas for cones and spheres and compare them with cylinders.
36	Scatter Plots and Association	Build scatter plots and describe clusters, outliers, and positive or negative association.
37	Lines of Best Fit	Draw a line of fit, write its equation and use it to make predictions.
38	Two-Way Tables	Read and build two-way tables and use relative frequencies to look for patterns.
39	Mixed Problem Solving and State Test Skills	Practice multi-step problems, show-your-work responses and state test question types.
40	Grade 8 Review and Algebra 1 Readiness	Review the year's key skills and preview Algebra 1. A mock test and parent report follow.

8th Grade Math Tutoring in the USA

By Quarter 4 of 8th Grade Math, Your Child Will...

8th Grade Math Curriculum, Quarter by Quarter

Try a Free Lesson to See the Full Program

Try a Free Lesson to See the Full Program

Try a Free Lesson to See the Full Program

Try a Free Lesson to See the Full Program