CaliforniaCalifornia 6th Grade Math Curriculum
Video lessons and practice for every 6th grade math topic. Aligned to California Common Core State Standards so your child can keep up with class or get ahead.
California 6th Grade Math Curriculum | StudyPugHelp
ID | Standard | StudyPug Topic |
|---|---|---|
CA.6.RP.1 | Understand ratio concepts and use ratio reasoning to solve problems |
CA.6.RP.2 | Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠0 |
CA.6.RP.3 | Use ratio and rate reasoning to solve real-world and mathematical problems |
CA.6.NS.1 | Interpret and compute quotients of fractions |
CA.6.NS.2 | Fluently divide multi-digit numbers using the standard algorithm |
CA.6.NS.3 | Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation |
CA.6.NS.4 | Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12 |
CA.6.NS.5 | Understand that positive and negative numbers are used together to describe quantities having opposite directions or values |
CA.6.NS.6 | Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes to represent points on the line and in the plane with negative number coordinates |
CA.6.NS.7 | Understand ordering and absolute value of rational numbers |
CA.6.NS.8 | Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane |
CA.6.EE.1 | Write and evaluate numerical expressions involving whole-number exponents |
CA.6.EE.2 | Write, read, and evaluate expressions in which letters stand for numbers |
CA.6.EE.3 | Apply the properties of operations to generate equivalent expressions |
CA.6.EE.4 | Identify when two expressions are equivalent |
CA.6.EE.5 | Understand solving an equation or inequality as a process of answering a question |
CA.6.EE.6 | Use variables to represent numbers and write expressions when solving a real-world or mathematical problem |
CA.6.EE.7 | Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers |
CA.6.EE.8 | Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem |
CA.6.EE.9 | Use variables to represent two quantities in a real-world problem that change in relationship to one another |
CA.6.G.1 | Find the area of right triangles, other triangles, special quadrilaterals, and polygons |
CA.6.G.2 | Find the volume of a right rectangular prism with fractional edge lengths |
CA.6.G.3 | Draw polygons in the coordinate plane given coordinates for the vertices |
CA.6.G.4 | Represent three-dimensional figures using nets made up of rectangles and triangles |
CA.6.SP.1 | Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers |
CA.6.SP.2 | Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape |
CA.6.SP.3 | Recognize that a measure of center for a numerical data set summarizes all of its values with a single number |
CA.6.SP.4 | Display numerical data in plots on a number line, including dot plots, histograms, and box plots |
CA.6.SP.5 | Summarize numerical data sets in relation to their context |
6th Grade Math Topics Covered
California 6th grade math is a pivotal year. Students move from whole-number arithmetic into the broader world of rational numbers, algebraic thinking, and data analysis. StudyPug covers all 29 topic areas outlined in the California Common Core State Standards for 6th grade math, organized into clear chapters your child can follow alongside their school lessons.
- Ratio concepts and ratio reasoning to solve real-world problems
- Unit rate and rate reasoning including percent and measurement conversion
- Division of fractions and interpretation of quotients
- Multi-digit division and decimal operations using standard algorithms
- Greatest common factor and least common multiple
- Positive and negative numbers, rational numbers, and the number line
- Ordering and absolute value of rational numbers
- Graphing in all four quadrants of the coordinate plane
- Numerical expressions with whole-number exponents
- Writing, reading, and evaluating algebraic expressions
- Properties of operations and equivalent expressions
- Solving equations and inequalities
- Area of triangles, quadrilaterals, and polygons
- Volume of right rectangular prisms with fractional edge lengths
- Nets of three-dimensional figures and surface area
- Statistical questions, distributions, and measures of center
- Dot plots, histograms, and box plots
- Summarizing numerical data sets in context
How StudyPug Aligns to California Standards
Every lesson on StudyPug maps directly to the California Common Core State Standards for 6th grade math. When your child's teacher assigns a topic, you can find the matching standard in the topic table, click through to the lesson, and get an explanation that follows the same approach used in California classrooms. This makes StudyPug a reliable homework help tool and a strong review resource before the CAASPP/Smarter Balanced assessment.
Building on 5th Grade, Preparing for 7th Grade
6th grade math bridges elementary arithmetic and middle school algebra. Students who mastered 5th grade fractions and decimals are ready to extend those skills into ratios, negative numbers, and variable expressions. The concepts learned in 6th grade — especially equations, inequalities, and the coordinate plane — form the direct foundation for California 7th grade math and pre-algebra. StudyPug helps students fill any gaps from earlier grades while keeping pace with new 6th grade material.
Getting the Most Out of StudyPug for 6th Grade Math
Here are a few ways families use StudyPug for 6th grade math success:
- Homework help: Find the exact topic in the table, watch the lesson, and follow the worked examples step by step.
- Test prep: Review any chapter before a quiz or unit test by rewatching lessons and completing practice problems.
- Getting ahead: Students who want to preview upcoming topics can work through chapters in order at their own pace.
- Catching up: Students who missed class or need to revisit a concept can use StudyPug to review on their own schedule.