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Percent – Grade 7 math lesson

Lesson 2 of 21 in the Grade 7 math course

US version. US grades, US spelling and dollars ($). · UK Maths Department

A complete 45-minute lesson for grade 7 (ages 12–13) that runs on this page – at school or at home. Every answer is graded right away, with a worked explanation.

Time
45 minutes + 20 min homework
Grade
Grade 7 (ages 12–13)
You need
Paper, a pencil and this page
Graded
Instantly, with explanations

For parents: how to use this lesson

You don't need to know this topic yourself. The lesson explains each step on screen, one tidy step at a time. Every answer is graded straight away with a worked explanation, so you never have to grade anything.

  1. Read what your child will learn and the big ideas together.
  2. Press Start the lesson below and sit with your child for the teaching and the worked examples (about 19 minutes).
  3. Let them do the practice on their own. They choose Getting started, On track or Challenge – start on On track and move up after a few right in a row.
  4. Finish with the exit ticket and the talk question: “Why does a 50% rise followed by a 50% fall not bring you back to the start?”
  5. Later that day or the next day: the homework (20 minutes), then a practice test.

Watch out for

  • Finding the percentage and forgetting to add or subtract it. Use a multiplier: 1.2 already includes the original.
  • Taking 20% off a sale price to find the original. Divide by 0.8 instead.

Tip for home: Work out sale prices and tips together.

What your child will learn

Learning goal: find percents of amounts, percent increases and decreases, and the original amount.

Success looks like

  • I can find a percentage of an amount.
  • I can increase and decrease by a percentage.
  • I can find a percentage change and an original amount.

Key words

multiplier
the decimal you multiply by
increase
make bigger
decrease
make smaller
original
the amount before the change

What to have ready

  • Paper and a pencil
  • This page on a computer, tablet or phone
  • For the hands-on part: Compare real sale prices: is "30% off" better than "buy 2 get 1 free"?

The big ideas (for the adult)

To find a percentage of an amount, find 10% or 1% first, or use a multiplier: 15% of 80 = 0.15 × 80 = 12.

For an increase of 20%, multiply by 1.2; for a decrease of 20%, multiply by 0.8.

Percentage change = change ÷ original × 100. To find an original amount, divide by the multiplier.

The lesson, step by step

45 minutes in 5 parts
PartTimeHow it is checked
Starter: quick recall5 minGraded by Classfern
Teaching input10 minNot assessed, self-checked
Worked examples and guided practice9 minNot assessed, graded by Classfern
Independent practice15 minGraded by Classfern
Closure and exit ticket6 minGraded by Classfern, self-checked

Starter, "your turn", practice and exit ticket are graded by Classfern. Worked examples and teaching are not assessed. The hands-on task and the reflection are self-assessed. Explanations in talk are judged by the parent and not recorded.

The lesson

It runs here on the page. No sign-up and no names – progress is kept only in this browser.

Homework and practice at home

20 minutes: 10 practice questions, 3 multiple-choice questions and 2 to remember from earlier work, then a short reflection. New questions every time, all graded instantly.

More practice

All Grade 7 math lessons and tests · Math Department

More Grade 7 math lessons

Curriculum

Common Core State Standards 7.RP.A.3: “Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.”

Our lessons and questions are our own. They are not written or endorsed by any government department, testing agency or exam board.