6th grade Math: how to help at home
What your child learns in 6th grade math in the California Content Standards, and simple things to try at home.
Focus areas this year
- Number and operations: ratios and rates, negative numbers, and expressions
- Measurement, data and geometry: shapes, measuring and reading data
- Mathematical practices: making sense of problems and explaining reasoning
Easy ways to practice math at home
- Look for fractions, decimals and percentages in sale signs, sports statistics and recipes.
- Ask your child to explain a problem to you as if you were the student.
- Estimate first (the bill, the trip time), then check with a calculator.
- Keep a tricky-problems list and revisit it every few days instead of re-doing everything.
What each unit covers
Facts & Factors
Quick recall of multiplication and division facts, plus factors, multiples and prime numbers, the greatest common factor (GCF) and least common multiple (LCM), and word problems that use them.
Mixed Numbers & Ratios
Switching between improper fractions (like 13/5) and mixed numbers (2 3/5), placing them on a number line, and writing and using ratios such as 3:4 in tables and word problems.
Decimal × and ÷
Multiplying and dividing decimals, estimating to check where the decimal point goes, and solving shopping and measurement problems.
Percents & Budgets
Finding percents of amounts, working out sale prices and savings, comparing unit prices to find the better buy, and planning a simple budget and savings goal.
Patterns & Graphs
Describing growing and shrinking patterns with rules like 3n + 2, using tables and graphs to predict values, and reading change over time from line graphs.
Equations
Using the order of operations (brackets, then × and ÷, then + and −) and solving one-step equations like 6n = 42 with inverse operations, including writing equations for word problems.
Perimeter & Area
Finding the perimeter of L-shapes and other polygons, and the area of triangles (b × h ÷ 2), parallelograms (b × h) and trapezoids ((a + b) × h ÷ 2), including working backwards to a missing measurement.
Volume & Capacity
Finding the volume of rectangular prisms, converting between liters and milliliters, and connecting volume to capacity (1 cm³ holds 1 mL).
Integers & Decimals
Meeting negative numbers on a number line, comparing and ordering integers, decimals and fractions, working with thousandths, and rounding decimals.
Algebra Moves
Combining like terms such as 3x + 5x, evaluating expressions, and finding values that make an inequality true and showing them on a number line.
Data & Graphs
Telling discrete data (counted) from continuous data (measured), reading histograms and line graphs, finding the range, and spotting misleading graphs.
Powers and Common Factors
Reading and writing powers such as 3⁴, evaluating them, order of operations with powers, writing prime factorizations with exponents, and finding common factors and the greatest common factor.
Dividing Fractions
Dividing a fraction by a fraction by multiplying by the reciprocal, and solving “how many servings” and “how many pieces” problems.
Center & Spread
Telling a statistical question from a regular question, and describing data with the mean, median, range and interquartile range.
Four Quadrants
Plotting and naming points in all four quadrants, reflecting points across an axis, and finding distances and areas on the coordinate plane.
Unit Rates
Finding unit rates and unit prices, choosing the better buy, completing rate tables, and converting measurement units with ratios.
Nets & Surface Area
Using nets made of rectangles and triangles to find the surface area of prisms and pyramids.
What the report card levels look like at home
- Beginning
- Just getting started with this idea. Short, regular practice with lots of support helps most.
- Approaching
- Understands parts of it and is building confidence. Keep practicing the tricky parts.
- Meeting
- Has it! Mixed review now and then keeps it strong.
- Exceeding
- Applies it confidently, even in new or harder situations. Try challenge mode and real-life problems.
Your child’s teacher decides the level on the report card. Read the California report card guide.
Common questions
Look for fractions, decimals and percentages in sale signs, sports statistics and recipes. Ask your child to explain a problem to you as if you were the student. Keep sessions short, about 10 to 15 minutes, and stop on a success.
The California Content Standards 6th grade math units include Facts & Factors, Mixed Numbers & Ratios, Decimal × and ÷, Percents & Budgets, Patterns & Graphs, Equations.
Free printable 6th grade math practice sheet
Questions from every unit, with an answer key.