Math

8th Grade Math

California 8th Grade Math

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California 8th Grade Math Help | Build Strong SkillsHelp

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 = \frac{y_2-y_1}{x_2- x_1}

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

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 = \sqrt{(x_2-x_1)^2+(y_2-y_1)^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

Reading and drawing bar graphs

Reading and drawing histograms

Reading and drawing Venn diagrams

Stem and leaf plots

Complete California 8th Grade Math Coverage

Grade 8 Lessons

91

Video Explanations

685

Practice Problems

446

California Standards

100% Aligned

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StudyPug's targeted practice brought my son's CAASPP score from proficient to advanced in just one semester of consistent use.

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My daughter now completes her algebra homework independently. She watches the videos when stuck instead of waiting for help.

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Frequently Asked Questions

Common questions about California 8th Grade Math help

Is StudyPug aligned with California Common Core State Standards for Grade 8?

Yes, StudyPug is 100% aligned with California Common Core State Standards for 8th Grade Math, covering all topics including algebra, functions, geometry, and data analysis.

How does StudyPug help prepare my child for the CAASPP test?

StudyPug includes CAASPP-aligned practice problems, video lessons on tested topics, and adaptive quizzes that mirror the Smarter Balanced assessment format and difficulty.

What Grade 8 math topics does StudyPug cover?

StudyPug covers all Grade 8 topics: linear equations, systems of equations, functions, transformations, Pythagorean theorem, scientific notation, and scatter plots.

Can my child use StudyPug independently for homework help?

Yes, Grade 8 students can independently search for topics, watch video explanations, and practice problems. The photo search feature helps them find exactly what they need.

How do I track my child's progress in Grade 8 math?

StudyPug includes visual progress tracking that shows topic mastery, quiz scores, and time spent learning, helping you see exactly where your child excels and needs support.

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