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Grade 8 Math Courses - California Curriculum

Discover comprehensive Grade 8 Math courses aligned with California's Common Core standards. Prepare for high school with essential algebra, geometry, and statistical concepts while developing critical thinking skills.

California Grade 8 Math Curriculum - Common Core Standards Topics

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ID
Standard
StudyPug Topic
8.NS.1
CA.8.NS.1: Know that numbers that are not rational are called irrational

Comparing and ordering rational numbers

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Understanding the number systems

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8.NS.2
CA.8.NS.2: Use rational approximations of irrational numbers to compare the size of irrational numbers
8.EE.1
CA.8.EE.1: Know and apply the properties of integer exponents to generate equivalent numerical expressions

Exponent rules

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8.EE.2
CA.8.EE.2: Use square root and cube root symbols to represent solutions to equations
8.EE.3
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
8.EE.4
CA.8.EE.4: Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used
8.EE.5
CA.8.EE.5: Graph proportional relationships, interpreting the unit rate as the slope of the graph

Ratios

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Rates

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Proportions

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8.EE.6
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
8.F.1
CA.8.F.1: Understand that a function is a rule that assigns to each input exactly one output
8.F.2
CA.8.F.2: Compare properties of two functions each represented in a different way
8.F.3
CA.8.F.3: Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line
8.F.4
CA.8.F.4: Construct a function to model a linear relationship between two quantities
8.F.5
CA.8.F.5: Describe qualitatively the functional relationship between two quantities by analyzing a graph
8.G.1
CA.8.G.1: Verify experimentally the properties of rotations, reflections, and translations
8.G.2
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

Line symmetry

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8.G.3
CA.8.G.3: Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates
8.G.4
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

Similar polygons

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Scale diagrams

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8.G.5
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
8.G.6
CA.8.G.6: Explain a proof of the Pythagorean Theorem and its converse

Pythagorean theorem

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8.G.7
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
8.G.8
CA.8.G.8: Apply the Pythagorean Theorem to find the distance between two points in a coordinate system
8.G.9
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
8.SP.1
CA.8.SP.1: Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities
8.SP.4
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

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