CaliforniaCalifornia 8th Grade Math Curriculum
Video lessons and practice for every 8th grade math topic. Aligned to California Common Core State Standards so your child keeps up with class.
California 8th Grade Math Curriculum | StudyPugHelp
ID | Standard | StudyPug Topic |
|---|---|---|
CA.8.NS.1 | Know that numbers that are not rational are called irrational |
CA.8.NS.2 | Use rational approximations of irrational numbers to compare the size of irrational numbers |
CA.8.EE.1 | Know and apply the properties of integer exponents to generate equivalent numerical expressions |
CA.8.EE.2 | Use square root and cube root symbols to represent solutions to equations |
CA.8.EE.3 | Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities |
CA.8.EE.4 | Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used |
CA.8.EE.5 | Graph proportional relationships, interpreting the unit rate as the slope of the graph |
CA.8.EE.6 | Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane |
CA.8.EE.7 | Solve linear equations in one variable |
CA.8.EE.8 | Analyze and solve pairs of simultaneous linear equations |
CA.8.F.1 | Understand that a function is a rule that assigns to each input exactly one output |
CA.8.F.2 | Compare properties of two functions each represented in a different way |
CA.8.F.3 | Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line |
CA.8.F.4 | Construct a function to model a linear relationship between two quantities |
CA.8.F.5 | Describe qualitatively the functional relationship between two quantities by analyzing a graph |
CA.8.G.1 | Verify experimentally the properties of rotations, reflections, and translations |
CA.8.G.2 | Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations |
CA.8.G.3 | Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates |
CA.8.G.4 | Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations |
CA.8.G.5 | Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles |
CA.8.G.6 | Explain a proof of the Pythagorean Theorem and its converse |
CA.8.G.7 | Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions |
CA.8.G.8 | Apply the Pythagorean Theorem to find the distance between two points in a coordinate system |
CA.8.G.9 | Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems |
CA.8.SP.1 | Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities |
CA.8.SP.4 | Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table |
8th Grade Math Topics in California
California 8th grade math covers a wide range of topics aligned to the California Common Core State Standards. Students move from number sense into algebra, geometry, and statistics — all foundational skills for high school math.
Numbers and Exponents
Students learn the difference between rational and irrational numbers and how to approximate irrational values on a number line. They apply properties of integer exponents and work with numbers in scientific notation to estimate very large and very small quantities.
- Rational vs. irrational numbers
- Properties of integer exponents
- Square roots and cube roots
- Scientific notation operations
Linear Equations and Functions
A major focus of 8th grade math is understanding linear relationships. Students graph proportional relationships, interpret slope using similar triangles, solve one-variable linear equations, and analyze systems of simultaneous linear equations.
- Slope and unit rate from graphs
- Solving linear equations in one variable
- Systems of linear equations
- Defining and comparing functions
- Linear functions: y = mx + b
Geometry and Transformations
Students explore congruence and similarity through rotations, reflections, translations, and dilations. They use coordinates to describe transformations and apply informal reasoning about angle relationships and triangle properties.
- Rotations, reflections, and translations
- Congruent figures and similarity
- Angle sum and exterior angles of triangles
- Parallel lines cut by a transversal
- Pythagorean Theorem and its converse
- Distance between two points using the Pythagorean Theorem
- Volumes of cones, cylinders, and spheres
Statistics and Data Analysis
Students construct and interpret scatter plots, identify patterns of association, and use linear models to make predictions from bivariate data. They also analyze categorical data using two-way frequency tables.
- Scatter plots and patterns of association
- Linear models for bivariate data
- Interpreting slope and intercept in context
- Two-way tables for categorical data
How StudyPug Supports California 8th Grade Math
Every topic listed above has a dedicated video lesson and practice problems on StudyPug. Students can search by topic, watch a short lesson, and immediately practice what they learned. Parents can track progress and identify gaps before the CAASPP assessment.