California Math 6
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Crush 6th Grade Math — For Real This Time

Every California Common Core concept your 6th grader needs — ratios, fractions, algebra, geometry, and statistics — explained with everyday examples that actually click, built lesson by lesson so no one gets left behind.

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California Math 6

"I don't just want your student to get the right answer — I want them to understand it well enough to explain it to someone else."

— Dora

What you'll learn

What you'll be able to do

  • Understand and apply ratios and unit rates to solve real-world problems
  • Fluently divide fractions by fractions and explain why the algorithm works
  • Write, evaluate, and simplify algebraic expressions and one-variable equations
  • Interpret and plot points on a full coordinate plane across all four quadrants
  • Calculate area, surface area, and volume for triangles, quadrilaterals, and rectangular prisms
  • Summarize and analyze data sets using mean, median, mode, range, and dot plots

How it works

A school that adapts to you

This isn't a set of static videos. Every lesson is generated live and tuned to where you actually are.

We learn your level

A quick placement check tailors your starting point so you're never bored or lost.

Lessons adapt as you go

Each lesson is written for your pace and your goal, adjusting as your skills grow.

Your AI coach keeps you moving

Checkpoints, feedback, and gentle nudges turn progress into a real result.

The curriculum

What's inside your school

6 modules · 29 lessons

1

Ratios and Unit Rates

Students explore ratios, equivalent ratios, and unit rates to solve real-world problems using tables, diagrams, and double number lines.

  • 1.1Understanding RatiosIncluded
  • 1.2Equivalent Ratios and Ratio TablesIncluded
  • 1.3Unit Rates and Unit PricingIncluded
  • 1.4Ratios and PercentsIncluded
  • 1.5Solving Ratio and Rate ProblemsIncluded
2

Fraction Division and Operations

Students build deep understanding of dividing fractions by fractions, connecting the algorithm to visual models and real-world situations.

  • 2.1Reviewing Fraction ConceptsIncluded
  • 2.2Dividing Whole Numbers by FractionsIncluded
  • 2.3Dividing Fractions by FractionsIncluded
  • 2.4Dividing Mixed NumbersIncluded
  • 2.5Fraction Operations in ContextIncluded
3

Algebraic Expressions and Equations

Students write, evaluate, and simplify expressions, then solve one-variable equations and inequalities using properties of operations.

  • 3.1Variables and ExpressionsIncluded
  • 3.2Evaluating and Simplifying ExpressionsIncluded
  • 3.3Properties of OperationsIncluded
  • 3.4Writing and Solving One-Variable EquationsIncluded
  • 3.5Writing and Graphing InequalitiesIncluded
4

The Coordinate Plane

Students interpret and plot ordered pairs across all four quadrants of the coordinate plane and apply this skill to real-world and mathematical problems.

  • 4.1Introducing the Coordinate PlaneIncluded
  • 4.2Plotting and Reading Ordered PairsIncluded
  • 4.3Reflections and Distance on the Coordinate PlaneIncluded
  • 4.4Coordinate Plane in Real-World ContextsIncluded
5

Geometry: Area, Surface Area, and Volume

Students develop and apply formulas for area of polygons, surface area of 3-D figures using nets, and volume of rectangular prisms.

  • 5.1Area of TrianglesIncluded
  • 5.2Area of Quadrilaterals and PolygonsIncluded
  • 5.3Introduction to Surface Area and NetsIncluded
  • 5.4Volume of Rectangular PrismsIncluded
  • 5.5Solving Geometry Problems in ContextIncluded
6

Statistics and Data Analysis

Students collect, display, and analyze data sets using measures of center, measures of variability, and appropriate data displays including dot plots and histograms.

  • 6.1Statistical Questions and Data CollectionIncluded
  • 6.2Dot Plots and HistogramsIncluded
  • 6.3Mean, Median, and ModeIncluded
  • 6.4Range and Mean Absolute DeviationIncluded
  • 6.5Summarizing and Interpreting Data SetsIncluded

Who it's for

Is this you?

The struggling 6th grader

Math has felt confusing since fractions showed up, and this course's patient, step-by-step style finally makes it click.

The homeschooling parent

She needs a complete, California-aligned 6th grade math curriculum she can trust — without building it from scratch herself.

The involved school dad

He wants to actually understand what his kid is learning so he can help at the homework table without relearning everything from a textbook.

The ahead-of-the-curve student

She's ready to preview 6th grade concepts before school starts so she can walk into class already confident.

The gap-filling parent

Her child missed key concepts during a tough school year, and she needs targeted, standard-by-standard review to fill every hole.

The self-directed learner

He likes to learn at his own pace and wants a clear, no-nonsense math resource he can work through independently.

Questions

Frequently asked

Your teacher

A note from your teacher

D

Dora

Hey there — whether you're a student dreading math homework, a parent watching your kid shut down at the kitchen table, or a homeschool family hunting for something that actually works — I see you. Sixth grade math is genuinely one of the toughest transitions in all of K–12. The concepts get bigger, the vocabulary gets fancier, and suddenly your student is expected to divide fractions by fractions and explain why it works. That's a lot.

I built California Math 6 because I believe every student can do this math — and I mean really do it, not just memorize steps and forget them after the test. The secret isn't being a "math person." The secret is hearing things explained in a way that connects to your real life. So that's how I teach. Ratios? We talk about comparing prices on a grocery run. The coordinate plane? We plot it like a city map. Mean and median? We use real data — the kind of numbers a 6th grader actually cares about.

Every unit in this course follows the same rhythm: we start with what you already know, build one concept at a time, and always — always — show you where this math shows up in the real world. By the time we hit writing and solving equations, your student won't feel like they're doing algebra. They'll feel like they're solving a puzzle they already have most of the pieces for.

I also want to be straight with you: this course doesn't skip the hard stuff. Dividing fractions by fractions, calculating mean absolute deviation, finding the surface area of a 3D shape using a net — we go there. But we go there slowly, clearly, and with a lot of "wait — that actually makes sense" moments along the way.

If your 6th grader is behind, this will bring them up. If they're keeping up but not really understanding, this will build the real foundation. And if they're ready to get ahead before 7th grade, this is the clearest, most confidence-building way to do it. I'm glad you're here — and I promise, we'll make this work.

— Dora

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  • 6 modules, 29 lessons
  • AI-adaptive lessons tuned to your level
  • Quizzes & checkpoints to lock in progress
  • Your own AI learning coach
  • Learn on any device, at your pace
  • Full access for as long as you're subscribed