Mathematics

Intermediate

50 mins

Teacher/Student led

Learning Goals

Learning Outcomes

Lesson Files

+80 XP

What you need:
IWB/Projector/Large Screen
Equivalence table worksheet

Expressing Quantities in Related Place-value Terms

Learn to express the same quantity as a fraction, decimal and percentage using an interactive battery slider. Discover why 3/4, 0.75 and 75% all mean exactly the same amount.

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1 Getting Started
2 Watch and Notice
3 Try It Together
4 Build the Equivalence Table in Your Copy
5 Class Challenge
6 What Did We Notice?
7 What's Next
Pupil practice

1 - Getting Started ~4 mins

Illustration for Getting Started Here are three labels you might see on a shelf, a sale sign and a battery icon: 3/4, 0.75 and 75%.

Key point

Are these three the same amount, or three different amounts? Talk it out: how would you prove they mean the same thing?

👇 Mark your steps as done as you complete them.

+5 XP

2 - Watch and Notice ~8 mins

Each battery shows the same amount of charge written three ways: as a fraction, a decimal and a percentage. Watch how the same fill gets three names, and see which one is trickier than the rest.

👇 Mark your steps as done as you complete them.

+10 XP

3 - Try It Together ~10 mins

One pupil comes to the board to set the battery slider; everyone else predicts the percentage and reads the three forms aloud with the class. First, an easy anchor to warm up: one fifth is 0.2 and 20%.

Tip

Now we work through these fractions in order: 1/5, then 2/5, then 3/5, then 3/4. Each time the pupil sets the fill, we read off the decimal and the percentage together. The fifths build on each other — watch how 2/5 is just double 1/5, and 3/5 adds one more fifth again — and the final 3/4 goes back to a friendly quarter-family value to finish.

Read off the three forms

+15 XP

4 - Build the Equivalence Table in Your Copy ~3 mins

COPYBOOK MOMENT

Illustration for Build the Equivalence Table in Your Copy In your maths copy, write each of the amounts we looked at today three ways in a row — fraction, decimal, then percentage — one under the other, to build a short equivalence table. Use these amounts:

1/2
1/4
1/10
1/8

Rule three columns first, head them Fraction, Decimal and Percentage, then fill each row. Anchor row to copy from and check the tricky one: 1/8 = 0.125 = 12.5%.

+10 XP

5 - Class Challenge ~8 mins

Key point

Today we match the slider to a target given in one form, then check the other two forms line up. We work through these in order: make 60%, then make 3/4, then make 0.2, then make 1/8. Each one names one form and asks you to prove the other two match.

Match the equivalent form

+15 XP

Pupil practice

Module 1 · Place Value, Decimals and the Number System Number

Lesson 9 · Expressing Quantities in Related Place-value Terms

Download Activity Book page (PDF)

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