7th grade math

What 7th graders learn in math

The Common Core focuses grade 7 on four areas: proportional relationships (including percent problems), operations with rational numbers (negatives, fractions and decimals together), expressions and two-step equations, and geometry with scale drawings, circles and angle relationships. Probability is introduced too.

7th grade math skills, in order

What mastery looks like by the end of the year

• Solves a two-step equation like 3x − 5 = 16 and checks it.
• Works out the price after a 20% discount and 8% sales tax.
• Adds and multiplies negative numbers correctly: −4 + 7 = 3 and −3 × −5 = 15.
• Finds the area and circumference of a circle from its radius.
• Uses angle facts to find a missing angle on a straight line or at a point.
• Finds the probability of rolling a sum of 7 with two dice (6/36 = 1/6).

Signs your child needs extra help

• Negative number rules get mixed up, like using “two negatives make a positive” for addition.
• Percent problems with more than one step fall apart.
• Solves equations by guessing rather than undoing operations.
• Can’t tell whether a table shows a proportional relationship.
• Fractions are still shaky, which makes rational number arithmetic hard.

If negative numbers are the problem, the number line on the integers page is the quickest fix. For percents, start with the three kinds of percent question on the percentages page.

Try a 7th grade math problem

Tap a question to see the answer and how to get it.

7th grade math worksheets

Each one is a free PDF with an answer key and its own page with a preview, tips and a button to make a new version.

• Adding and subtracting integersGrade 7
• Comparing integersGrade 6
• Percent changeGrade 7
• Percent of a numberGrade 6
• Solving equationsGrades 6–7
• RatiosGrade 6
• Mean, median, mode and rangeGrade 6
• Order of operationsGrades 5–6

More 7th grade PDFs

• Tax, tip and interestGrade 7
• Proportional relationshipsGrade 7
• InequalitiesGrades 6–7
• Like terms and distributive propertyGrades 6–7
• CirclesGrade 7 · 20 questions
• Angle relationshipsGrade 7
• ProbabilityGrade 7
• Compound probabilityGrade 7 · 20 questions

7th grade math lessons and charts

• IntegersNegative numbers
• PercentagesTax, tips and discounts
• EquationsTwo-step equations
• RatiosProportional relationships
• Percent changeIncrease and decrease
• GeometryCircles and angles
• StatisticsComparing groups
• Probability chartChance and outcomes

How to help with 7th grade math at home

Calculate the sale price

Discounts, sales tax and tips are real two-step percent problems. Let your teen work out the total before you pay.

Use temperatures and bank balances

Gains and losses, temperature changes and money owed are natural integer problems.

Measure round things

Measure the diameter and circumference of plates, cans and wheels. Dividing one by the other gives about 3.14 every time.

Play probability games

Roll two dice 50 times and record the sums. Which comes up most? Compare with the calculated probabilities.

See 6th grade math for the skills that lead into this year, and 8th grade math for what comes next.