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Equivalent fractions – Grade 4 math lesson

US version. US grades, US spelling and dollars ($). · UK version (Year 5)

A complete 45-minute lesson for grade 4 (ages 9–10) 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 4 (ages 9–10)
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, the way Mr Euclid, our Head of Math, likes it: 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 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 is 3/6 the same amount as 1/2?”
  5. Later that day or the next day: the homework (20 minutes), then a practice test.

Watch out for

  • Adding the same number to top and bottom (thinking 1/2 = 3/4). Show 1/2 and 3/4 on a fraction wall – they are not the same length.
  • Changing the denominator but not the numerator. Whatever you do to the bottom, do to the top.

Miss Hypatia's tip for home: Cut a pizza or a sandwich into different numbers of equal pieces and talk about which fractions are the same.

What your child will learn

Learning goal: find equivalent fractions.

Success looks like

  • I can find an equivalent fraction by multiplying.
  • I can simplify by dividing.
  • I can show equivalence on a diagram.

Key words

numerator
the top number: how many parts we have
denominator
the bottom number: how many equal parts make a whole
equivalent
equal in value
simplify
divide the top and bottom by the same number

What to have ready

  • Paper and a pencil
  • This page on a computer, tablet or phone
  • For the hands-on part: Fold paper strips into halves, quarters and eighths, shade the same amount and compare. No fraction strips? Fold strips of scrap paper.

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 4 math lessons and tests · Math Department

Curriculum

Common Core State Standards: 4.NF.A.1

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