CaliforniaCalifornia 7th Grade Math Curriculum
Video lessons and practice for every 7th grade math topic. Aligned to California Common Core State Standards for California students.
California 7th Grade Math Curriculum | StudyPugHelp
ID | Standard | StudyPug Topic |
|---|---|---|
CA.7.RP.1 | Compute unit rates associated with ratios of fractions |
CA.7.RP.2 | Recognize and represent proportional relationships between quantities |
CA.7.RP.3 | Use proportional relationships to solve multistep ratio and percent problems |
CA.7.NS.1 | Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers |
CA.7.NS.2 | Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers |
CA.7.NS.3 | Solve real-world and mathematical problems involving the four operations with rational numbers |
CA.7.EE.1 | Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients |
CA.7.EE.2 | Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related |
CA.7.EE.3 | Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form |
CA.7.EE.4 | Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems |
CA.7.G.1 | Solve problems involving scale drawings of geometric figures |
CA.7.G.2 | Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions |
CA.7.G.3 | Describe the two-dimensional figures that result from slicing three-dimensional figures |
CA.7.G.4 | Know the formulas for the area and circumference of a circle and use them to solve problems |
CA.7.G.5 | Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure |
CA.7.G.6 | Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects |
CA.7.SP.1 | Understand that statistics can be used to gain information about a population by examining a sample of the population |
CA.7.SP.2 | Use data from a random sample to draw inferences about a population with an unknown characteristic of interest |
CA.7.SP.3 | Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities |
CA.7.SP.4 | Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations |
CA.7.SP.5 | Understand that the probability of a chance event is a number between 0 and 1 |
CA.7.SP.6 | Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency |
CA.7.SP.7 | Develop a probability model and use it to find probabilities of events |
CA.7.SP.8 | Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation |
7th Grade Math Topics in California
California 7th grade math follows the California Common Core State Standards and introduces students to a wide range of concepts that form the foundation for algebra and advanced mathematics. StudyPug covers all 24 major topic areas, giving students video lessons and practice problems for every standard.
Ratios, Rates, and Proportional Relationships
Students learn to compute unit rates associated with ratios of fractions and recognize proportional relationships between quantities. These skills are applied to solve multistep ratio and percent problems in real-world contexts, such as tax, discounts, and interest calculations.
Rational Numbers and Operations
A major focus of 7th grade math is extending understanding of rational numbers. Students add, subtract, multiply, and divide rational numbers — including negative numbers — and apply these operations to solve real-world problems. This builds directly on 6th grade work with fractions and decimals.
Expressions and Equations
Students apply properties of operations to add, subtract, factor, and expand linear expressions with rational coefficients. They also learn to rewrite expressions to reveal relationships between quantities and use variables to represent unknowns in equations and inequalities.
Geometry
- Solve problems using scale drawings of geometric figures
- Draw geometric shapes with given conditions using rulers, protractors, and technology
- Identify two-dimensional figures that result from slicing three-dimensional shapes
- Know and apply formulas for the area and circumference of a circle
- Use facts about supplementary, complementary, vertical, and adjacent angles to solve equations
- Solve problems involving area, volume, and surface area of 2D and 3D objects
Statistics and Probability
Students explore how statistics can be used to draw inferences about a population from a random sample. They compare two data distributions and use measures of center and variability to make informal inferences. Probability concepts include understanding chance events, building probability models, and finding probabilities of compound events using lists, tables, tree diagrams, and simulation.
Preparing for 8th Grade Math
Mastering 7th grade math in California sets students up for success in 8th grade, where they'll tackle linear equations, functions, and introductory geometry proofs. StudyPug's structured lessons help students build confidence topic by topic so nothing is missed before moving forward.