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.
- Read what your child will learn together.
- Press Start the lesson below and sit with your child for the teaching and the worked examples (about 19 minutes).
- 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.
- Finish with the exit ticket and the talk question: “Why is 3/6 the same amount as 1/2?”
- 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
| Part | Time | How it is checked |
|---|---|---|
| Starter: quick recall | 5 min | Graded by Classfern |
| Teaching input | 10 min | Not assessed, self-checked |
| Worked examples and guided practice | 9 min | Not assessed, graded by Classfern |
| Independent practice | 15 min | Graded by Classfern |
| Closure and exit ticket | 6 min | Graded 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
More Grade 4 math lessons
- Place value: the value of each digit
- Rounding to the nearest 10, 100 or 1,000
- Adding and subtracting fractions with like denominators
- Fractions of a whole number
- Decimals: tenths, hundredths and thousandths
- Area of rectangles
- Perimeter
- Finding unknown angles
- Converting units of time
- Money: totals and change
- Factors and multiples
- Prime and composite numbers
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.