Grade Eighth Math

Grade Eighth Math

Master high school readiness mathematics with comprehensive lessons covering the real number system including irrational numbers, linear functions and systems of equations, geometric transformations and the Pythagorean theorem, bivariate data analysis, and scientific notation. Develop algebraic reasoning and prepare for Algebra I.

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Integers

Review operations with integers and apply to complex problems.

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Rational Numbers

Master operations with all rational numbers fluently and accurately.

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Exponents

Apply laws of exponents to generate equivalent numerical expressions.

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Scientific Notation

Work with very large and very small numbers using scientific notation.

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Square Roots and Cube Roots

Evaluate and estimate square roots and cube roots of numbers.

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Rational and Irrational Numbers

Understand the real number system including irrational numbers.

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Proportions

Solve complex proportion problems and verify proportional relationships.

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Percents

Solve multi-step percent problems including compound interest.

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Consumer Math

Apply mathematics to financial planning, budgets, and investments.

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Units of Measurement

Convert complex units and solve dimensional analysis problems.

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Expressions

Simplify and evaluate complex algebraic expressions with exponents.

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Equivalent Expressions

Use properties to create and identify equivalent expressions.

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One-Variable Equations

Solve linear equations including those with rational coefficients.

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One-Variable Inequalities

Solve and graph linear inequalities on number lines.

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Coordinate Plane

Graph points, lines, and figures in all four quadrants of the plane.

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Lines and Angles

Apply angle relationships with parallel lines and transversals.

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Two-Dimensional Figures

Analyze properties of triangles, quadrilaterals, and circles.

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Transformations and Congruence

Use rigid transformations to understand congruent figures.

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Transformations and Similarity

Use dilations and transformations to understand similar figures.

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Pythagorean Theorem

Apply the Pythagorean Theorem to solve real-world problems.

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Three-Dimensional Figures

Visualize and analyze properties of 3D solids and their nets.

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Perimeter and Area

Calculate perimeter, area, and circumference including circles.

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Surface Area and Volume

Find surface area and volume of cylinders, cones, and spheres.

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Proportional Relationships

Identify and represent proportional relationships in multiple forms.

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Direct Variation

Understand and graph direct variation relationships: y = kx.

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Slope

Calculate and interpret slope as rate of change in linear functions.

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Linear Equations

Graph and write linear equations in slope-intercept and standard form.

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Function Concepts

Understand functions, function notation, and domain and range.

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Linear Functions

Analyze and compare properties of linear functions from different forms.

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Nonlinear Functions

Identify and compare linear and nonlinear functions from graphs and tables.

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Interpret Functions

Interpret key features of graphs and relate them to contexts.

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Sequences

Analyze arithmetic and geometric sequences as functions.

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Systems of Equations

Solve systems of linear equations graphically and algebraically.

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One-Variable Statistics

Analyze data distributions using measures of center and spread.

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Two-Variable Statistics

Create scatter plots and fit linear models to bivariate data.

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Probability

Understand and find probabilities of compound events using models.

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Eighth Grade Math Critical Focus Areas

Real Number System

Understand irrational numbers and work with radicals and exponents

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Linear Functions

Define, evaluate, and compare functions using multiple representations

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Geometric Concepts

Use transformations, similarity, and the Pythagorean Theorem

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Bivariate Data

Investigate patterns in scatter plots and construct linear models

Prepare for High School Mathematics

Build proficiency in the real number system including irrational numbers, linear functions and systems of equations, geometric transformations and the Pythagorean Theorem, and bivariate data analysis through comprehensive lessons aligned with Common Core State Standards for eighth grade mathematics and Algebra I readiness.