6th grade Math: how to help at home
What your child learns in 6th grade math in the Texas Essential Knowledge and Skills (TEKS), and simple things to try at home.
Focus areas this year
- Number and operations: integers and rational numbers, integer operations, and dividing fractions
- Proportionality: ratios, rates and percents
- Expressions, equations and relationships: exponents, one-step equations and inequalities, and area and volume
- Measurement, data and financial literacy: the coordinate plane, data displays, and checking, credit and paying for college
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
Integers & Decimals
Meeting negative numbers on a number line, comparing and ordering integers, decimals and fractions, working with thousandths, and rounding decimals.
Decimal × and ÷
Multiplying and dividing decimals, estimating to check where the decimal point goes, and solving shopping and measurement problems.
Dividing Fractions
Dividing a fraction by a fraction by multiplying by the reciprocal, and solving “how many servings” and “how many pieces” problems.
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.
Unit Rates
Finding unit rates and unit prices, choosing the better buy, completing rate tables, and converting measurement units with ratios.
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.
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.
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.
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.
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.
Angles & Triangles
Estimating and classifying angles (acute, right, obtuse, straight, reflex), finding missing angles on a line and in triangles, and classifying triangles by their sides and angles.
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).
Four Quadrants
Plotting and naming points in all four quadrants, reflecting points across an axis, and finding distances and areas on the coordinate plane.
Data & Graphs
Telling discrete data (counted) from continuous data (measured), reading histograms and line graphs, finding the range, and spotting misleading graphs.
Center & Spread
Telling a statistical question from a regular question, and describing data with the mean, median, range and interquartile range.
Adding & Subtracting Integers
Your child adds and subtracts positive and negative integers, uses zero pairs and opposites, and compares negative numbers.
Banking, Credit & College
Personal financial literacy: your child compares checking accounts, tells debit from credit cards, balances a check register, learns why credit history and credit reports matter, compares ways to pay for college, and compares salaries for jobs that need different training.
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 Texas 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 Texas Essential Knowledge and Skills (TEKS) 6th grade math units include Integers & Decimals, Decimal × and ÷, Dividing Fractions, Mixed Numbers & Ratios, Unit Rates, Percents & Budgets.
Free printable 6th grade math practice sheet
Questions from every unit, with an answer key.