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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

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ID
Standard
StudyPug Topic
CA.8.NS.1
Know that numbers that are not rational are called irrational
Comparing and ordering rational numbers
Solving problems with rational numbers in decimal form
Understanding the number systems
Rational vs. Irrational numbers
Converting repeating decimals to fractions
CA.8.NS.2
Use rational approximations of irrational numbers to compare the size of irrational numbers
Determine square roots of rational numbers
Estimating square roots
CA.8.EE.1
Know and apply the properties of integer exponents to generate equivalent numerical expressions
Exponent rules
Product rule of exponents
CA.8.EE.2
Use square root and cube root symbols to represent solutions to equations
Introduction to exponents
Squares and square roots
Square and square roots
Cubic and cube roots
Converting radicals to mixed radicals
Converting radicals to entire radicals
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
Using exponents to describe numbers
Using exponents to solve problems
Scientific notation
CA.8.EE.4
Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used
Order of operations with exponents
Conversions between metric and imperial systems
Metric systems
Imperial systems
Conversions involving squares and cubic
CA.8.EE.5
Graph proportional relationships, interpreting the unit rate as the slope of the graph
Reading linear relation graphs
Identifying proportional relationships
Ratios
Rates
Proportions
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
Similar triangles
Horizontal and vertical distances
Slope equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}m=x2​−x1​y2​−y1​​
Slope intercept form: y = mx + b
CA.8.EE.7
Solve linear equations in one variable
Solving linear equations using distributive property: a(x + b) = c
Solving two-step linear equations: ax + b = c, x/a + b = c
Model and solve one-step linear equations: ax = b, x/a = b
Solving two-step linear equations using addition and subtraction: ax + b = c
Solving two-step linear equations using multiplication and division: x/a + b = c
Solving two-step linear equations using distributive property: a(x + b) = c
CA.8.EE.8
Analyze and solve pairs of simultaneous linear equations
Solving linear equations with variables on both sides
Solving literal equations
Money related questions in linear equations
Unknown number related questions in linear equations
Distance and time related questions in linear equations
Rectangular shape related questions in linear equations
Determining number of solutions to linear equations
Solving systems of linear equations by graphing
Solving systems of linear equations by elimination
Solving systems of linear equations by substitution
CA.8.F.1
Understand that a function is a rule that assigns to each input exactly one output
Representing patterns in linear relations
Understanding tables of values of linear relationships
Relationship between two variables
Identifying functions
CA.8.F.2
Compare properties of two functions each represented in a different way
Solving linear equations by graphing
Understanding graphs of linear relationships
CA.8.F.3
Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line
Graphing linear relations
Introduction to nonlinear equations
CA.8.F.4
Construct a function to model a linear relationship between two quantities
Applications of linear relationships
Rate of change
Parallel and perpendicular lines in linear functions
Applications of linear relations
CA.8.F.5
Describe qualitatively the functional relationship between two quantities by analyzing a graph
Reading and drawing line graphs
CA.8.G.1
Verify experimentally the properties of rotations, reflections, and translations
Rotational symmetry and transformations
Introduction to transformations
Tessellations using translations and reflections
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
Tessellations using rotations
CA.8.G.3
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates
Enlargements and reductions with scale factors
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
Scale diagrams
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
Angle relationships
Parallel and perpendicular line segments
CA.8.G.6
Explain a proof of the Pythagorean Theorem and its converse
Pythagorean theorem
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
Using the pythagorean relationship
Applications of pythagorean theorem
CA.8.G.8
Apply the Pythagorean Theorem to find the distance between two points in a coordinate system
Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}d=(x2​−x1​)2+(y2​−y1​)2​
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
Volume of cylinders
Word problems relating volume of prisms and cylinders
Surface area and volume of prisms
Surface area and volume of pyramids
Surface area and volume of cylinders
Surface area and volume of cones
Surface area and volume of spheres
CA.8.SP.1
Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities
Box-and-whisker plots and scatter plots
Advantages and disadvantages of different graphs
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
Frequency tables and dot plots
Critiquing data presentation
Organizing data
Reading and drawing bar graphs
Reading and drawing histograms
Reading and drawing Venn diagrams
Stem and leaf plots

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