Eighth Grade Math Curriculum and Lesson Plans

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.

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

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.

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.

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

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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