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Eighth-grade math is typically a course in pre-algebra to help prepare students for high school algebra. Our 8th-grade math curriculum can be used either as a main homeschool program or as a supplement to another homeschool curriculum or a traditional school. The following information will explain what steps you should take to meet your child’s 8th-grade math goals and objectives and how our 8th-grade math curriculum can help.
What Math Should an 8th Grader Already Know?
An 8th-grade math program should cover various areas of mathematics, not just arithmetic. The primary strands for an 8th-grade math curriculum are number sense and operations, algebra, geometry, and spatial sense, measurement, and data analysis and probability. While these math strands might surprise you, they are all critical lessons for an 8th-grade math curriculum.
These skills will improve math fluency and help build upon the math facts, concepts, and strategies acquired in the past, making future success more achievable. Here are some topics that eighth graders should already know in math:
- Writing numbers in word, standard, expanded, and scientific notation
- Identifying and using ratios and rates
- Multiplying and dividing with positive and negative rational numbers
- Finding the perimeter and area of two-dimensional figures
- Identifying and plotting ordered pairs in four quadrants and along the axes
- Calculating probabilities of independent and dependent events
If your student needs to review 7th-grade math concepts, you can easily access those lessons thanks to our flexible grade-level options that give you access to one level above and one below your child’s default grade.
Eighth-Grade Math Objectives
The following is a general list of some math learning objectives eighth graders should attain:
Identify rational and irrational numbers and describe meanings.
Calculate and approximate principal square roots.
Identify and perform transformations of a figure on a coordinate plane.
Solve problems in two variables using linear equations.
Define and differentiate between different types of sampling techniques.
Use technology to determine the mean, median, mode, and range of a set of real-world data.
Eighth-Grade Math Scope & Sequence
Chapter 1: “Number Systems”
Lesson 1: Scientific Notation
Express numbers between zero and one in scientific notation.
Lesson 2: Rational and Irrational Numbers
Identify rational and irrational numbers and describe meanings.
Lesson 3: Absolute Value
Identify and explain absolute value.
Chapter 2: “Comparing Numbers with and Operations in Scientific Notation”
Lesson 1: Comparing Large Numbers in Scientific Notation
Compare large numbers in scientific notation.
Lesson 2: Comparing Small Numbers in Scientific Notation
Compare small numbers in scientific notation.
Lesson 3: Adding and Subtracting Numbers in Scientific Notation
Add and subtract numbers in scientific notation.
Lesson 4: Using Scientific Notation with Technology
Use scientific notation with technology
Chapter 3: “Real Numbers”
Lesson 1: Repeating Decimals to Fractions
Convert repeating decimals to fractions.
Lesson 2: Roots
Calculate and approximate principal square roots.
Lesson 3: Using Roots to Solve Equations
Use roots to solve equations.
Lesson 4: Compare and Order
Compare and order numbers in many forms including: fractions, decimals, scientific notation, absolute value, and radicals.
Lesson 5: Estimation
Use estimation for situations using real numbers.
Lesson 6: Properties
Apply properties to solve problems with real numbers.
Lesson 7: Real Number Operations
Simplify numerical expressions with real numbers.
Chapter 4: “Number Theory”
Lesson 1: Divisibility Rules
Use divisibility rules to solve problems.
Lesson 2: Multiple Representations
Represent numbers in base ten in other bases (two, five, and eight) and vice versa.
Lesson 3: Prime and Composite
Identify numbers as relatively prime.
Chapter 5: “Ratio, Proportion and Percent”
Lesson 1: Rate of Change
Describe and use rate of change to solve problems.
Lesson 2: Proportions
Use proportional relationships to find measures of length, weight or mass, and capacity or volume.
Lesson 3: Percents
Solve real world problems involving percents greater than 100.
Lesson 4: Comparing Two Proportional Relationships
Compare two proportional relationships.
Chapter 6: “Real World Computation”
Lesson 1: Operations
Solve real world problems with rational numbers (including integers, decimals and fractions).
Lesson 2: Real World Problems
Solve real world problems with ratios, rates, proportions, and percents.
Lesson 3: Multi-Step Problems
Solve real world two- or three- step problems with integers, decimals, fractions, ratios, rates, proportions, and percents.
Chapter 7: “Expressions and Equations”
Lesson 1: Expressions
Substitute rational numbers into expressions and evaluate.
Lesson 2: Expressions with Exponents
Substitute rational numbers into expressions with exponents and radicals.
Lesson 3: Expressions and Equations
Translate word expressions and equations into algebraic expressions and equations (including one or more variables and exponents).
Lesson 4: Expressions, Equations, and Inequalities
Translate verbal expressions and sentences into algebraic inequalities and vice versa.
Lesson 5: Real World Expressions
Use variables to represent unknown quantities in real world situations.
Lesson 6: Simplify
Combine and simplify algebraic expressions with a maximum of two variables.
Lesson 7: Substitution
Evaluate algebraic expressions and equations by substituting integral values for variables and simplifying.
Lesson 8: Inequalities
Solve linear inequalities in one variable algebraically.
Chapter 8: “Identifying Solutions and Solving Equations”
Lesson 1: Identifying the Number of Solutions in a Linear Equation
Identify the number of solutions in a linear equation.
Lesson 2: Solving Equations with Variables on Both Sides
Solve equations with variables on both sides.
Lesson 3: Solving Equations Requiring the Distributive Property
Solve equations requiring the distributive property.
Lesson 4: Solving Equations Requiring Combining Like Terms
Solve equations requiring combining like terms.
Chapter 9: “Systems of Equations”
Lesson 1: Analyzing Systems of Equations
Analyze systems of equations.
Lesson 2: Identifying the Number of Solutions in a Linear Equation
Identify the number of solutions in a linear equation.
Chapter 10: “Plane Geometry”
Lesson 1: Geometric Properties
Use properties of parallelism, perpendicularity, and symmetry to solve real world problems.
Lesson 2: Polygons
Compare and describe properties of convex and concave polygons.
Lesson 3: Pythagorean Theorem
Apply the Pythagorean theorem to solve real world problems.
Lesson 4: Congruent and Similar
Identify congruence and similarity in real world situations and justify.
Lesson 5: Transformations
Identify and perform transformations (reflection, translation, rotation, and dilation) of a figure on a coordinate plane.
Lesson 6: Proportional Relationships
Identify how changes in dimensions affect area and perimeter.
Chapter 11: “Advanced Transformations”
Lesson 1: Transforming Lines and Line Segments
Transform lines and line segments.
Lesson 2: Transforming Angles
Transform angles.
Lesson 3: Transforming Parallel Lines
Transform parallel lines.
Lesson 4: Understanding Congruence
Understand congruence.
Lesson 5: Using a Sequence of Transformations
Use a sequence of transformations.
Lesson 6: Understanding Similar Figures
Understand similar figures.
Lesson 7: Describing Sequences of Transformations that Show Similarity
Describe sequences of transformations that show similarity.
Chapter 12: “Triangles”
Lesson 1: Proving Triangle Theorems Informally
Prove triangle theorems informally.
Lesson 2: Understanding Angles Formed When Parallel Lines are Cut by a Transversal
Understand angles formed when parallel lines are cut by a transversal.
Lesson 3: Exploring Angle-Angle Similarity
Explore angle-angle similarity.
Chapter 13: “Advanced Pythagorean Theorem”
Lesson 1: Using the Converse of the Pythagorean Theorem
Use the converse of the Pythagorean theorem.
Lesson 2: Applying the Pythagorean Theorem in Three Dimensions
Apply the Pythagorean theorem in three dimensions.
Lesson 3: Applying the Pythagorean Theorem in the Coordinate Plane
Apply the Pythagorean theorem in the coordinate plane.
Chapter 14: “Three-Dimensional Geometry”
Lesson 1: Volume
Find the volume of pyramids, prisms, and cones.
Lesson 2: Applying Volume Formulas
Apply volume formulas.
Lesson 3: Surface Area
Find the surface area of pyramids, prisms, and cones.
Lesson 4: Regular and Irregular Polygons
Compare regular and irregular polygons.
Lesson 5: Angle Measure
Find the angle measure in two-dimensional figures and two-dimensional sides of three-dimensional figures based on geometric relationships.
Lesson 6: Proportional Relationships
Identify the relationship between volume or surface area and dimension.
Chapter 15: “Measurement”
Lesson 1: Scale
Interpret and apply various scales including number lines, graphs, models, and maps.
Lesson 2: Estimation
Select tools to measure quantities and dimensions to a specified degree of accuracy and determine the greatest possible error of measurement.
Lesson 3: Significant Digits
Identify the number of significant digits as related to the least precise unit of measure and apply to real world contexts.
Chapter 16: “Graphing”
Lesson 1: Tables and Ordered Pairs
Use a table to find ordered pair solutions of a linear equation in slope-intercept form.
Lesson 2: Equations to Lines
Graph linear equations in standard form.
Lesson 3: Linear Inequalities
Identify and graph inequalities on a number line.
Lesson 4: Inequalities
Identify and graph inequalities in the coordinate plane.
Lesson 5: Applications of Linear Inequalities
Solve problems in two variables using linear inequalities.
Chapter 17: “Linear Relationships”
Lesson 1: x- and y- Intercepts
Given the graph of a linear relationship, determine the x- and y- intercepts.
Lesson 2: Slope of a Line
Given the graph of a line, determine the slope.
Lesson 3: Write Equations in Slope-Intercept Form
Given the slope and y-intercept, write an equation.
Lesson 4: Find a Function Rule
Find a function rule to describe a linear relationship using tables of related input-output variables.
Lesson 5: Determine if a Function is Linear
Using information from a table, graph, or rule, determine if a function is linear and justify.
Chapter 18: “Understanding, Using, and Interpreting Slope”
Lesson 1: Graphing Proportional Relationships and Interpreting Slope
Graph proportional relationships and interpreting slope.
Lesson 2: Using Similar Triangles to Understand Slope
Use similar triangles to understand slope.
Lesson 3: Using Slope-Intercept Form
Use slope-intercept form.
Lesson 4: Interpreting y = mx + b as a Linear Function
Interpret y = mx + b as a linear function.
Chapter 19: “Functions”
Lesson 1: Recognizing Functions
Recognize functions.
Lesson 2: Comparing Functions Represented in Different Forms
Compare functions represented in different forms.
Lesson 3: Interpreting y = mx + b as a Linear Function
Interpret y = mx + b as a linear function.
Lesson 4: Constructing Linear Functions
Construct linear functions.
Lesson 5: Describing a Functional Relationship by Analyzing a Graph
Describe a functional relationship by analyzing a graph.
Lesson 6: Sketching Graphs of Functions
Sketch graphs of functions.
Chapter 20: “Probability”
Lesson 1: Conditional Probability
Calculate conditional probabilities and the probabilities of dependent events.
Lesson 2: Sampling Techniques
Define and differentiate between different types of sampling techniques.
Lesson 3: Apply Sampling
Use different types of sampling techniques to collect data.
Lesson 4: Sample Bias
Identify whether a sample is biased.
Chapter 21: “Data and Statistics”
Lesson 1: Data Representations
Interpret circle, line, bar, histogram, stem-and-leaf, and box-and-whisker graphs including how different displays lead to different interpretations.
Lesson 2: Statistics
Identify and explain how statistics and graphs can be used in misleading ways.
Lesson 3: Mean, Median and Mode
Determine appropriate measures of central tendency for a given situation or set of data.
Lesson 4: Technology
Use technology to determine the mean, median, mode, and range of a set of real world data.
Why Choose Time4Learning Eighth-Grade Math Homeschool Curriculum
Our 8th-grade online math curriculum can be used as a main homeschool program or to supplement other curricula or school. Time4Learning’s adaptable program allows students to work across grade levels. For example, if your student is “at-level” in language arts but ahead in math, they could use the eighth-grade language arts curriculum and the suggested 9th-grade math curriculum.
If your eighth grader is struggling to prepare for high school math, Time4Learning’s curriculum can be used as a supplement to get back on track. You can use our eighth-grade math lesson plans to locate specific topics that your student needs to review. Additionally, our automated grading and recordkeeping system saves you time and helps you easily keep track of your child’s progress.
