🌍 IB Primary Years Programme · Grade 5 · maths demo class · 45 minutes
IB PYP Grade 5 maths: Fractions, decimals and percentages
An inquiry-led 45-minute live class to teach from this screen: see-think-wonder, a number talk, hands-on exploration on a hundred grid, a game, a real-life inquiry and a learner-profile reflection.
Central idea
One amount can be written in different forms, and we choose the form that helps us compare and decide.
Key concepts
- Form: What does it look like? 3/4, 0.75 and 75% are three looks for one amount.
- Connection: How are they connected? Each one is a way of saying "out of 100" or "part of a whole".
- Function: How does it work? We pick the form that makes a problem easier.
Lines of inquiry
- How fractions, decimals and percentages are connected
- How we change one form into another
- How people use them to make decisions
Learner profile and skills
Thinkers, inquirers and communicators. Thinking skills (comparing, justifying) and communication skills (explaining with maths words).
All about me
4 minTeacher tip
Introduce yourself first (name, grade you teach, a hobby), then ask the child and type the answers into the badge.
Hello, friend! 👋
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See, think, wonder
5 minTeacher tip
Give 30 seconds of quiet looking. Accept every observation; type the child's wonders on the wall. Do not explain yet: the connection is revealed at the end.
What do you see? What do you think? What do you wonder?
All three are the same amount: 75% = 3/4 = 0.75. Today we inquire into why, and how to choose the best form.
Number talk: which one doesn't belong?
4 minTeacher tip
In a number talk there can be more than one good answer. Ask "Why?" every time; praise reasoning, not speed.
Quick-fire
1 / 6
Explore: the hundred grid
10 minTeacher tip
Let the child drag across the grid. Ask: "How many squares is a quarter? Why 25?" Connect each task to the three readouts.
- Shade 1/4 of the grid.
- Shade 0.3 of the grid.
- Shade 45%.
- Shade 3/5.
- Shade 0.08.
How to change the form
Make the bottom 10 or 100, or divide: 3/4 = 75/100 = 0.75.
Multiply by 100: 0.75 → 75%.
Write it out of 100 and simplify: 40% = 40/100 = 2/5.
Now practise
⭐ Change the form
Write 3/10 as a decimal.
Write 0.45 as a percent.
Write 20% as a fraction (simplest).
⭐⭐ Compare
Which is bigger: 3/5 or 55%?
Which is smallest: 0.4, 1/4, 30%?
Order from smallest: 0.7, 2/3, 72%
⭐⭐⭐ Think
A class of 25: 15 walk to school. What percent walk?
Is 7/8 more or less than 85%?
Game: number families
8 minTeacher tip
Play once, then play again to beat the score. Ask the child to say the family aloud: "three quarters, nought point seven five, seventy-five percent".
Each family is one amount in three forms: a fraction, a decimal and a percent. Tap all three cards of a family. The first tap starts the clock.
Inquiry task: which is the best deal?
6 minTeacher tip
Ask the child to choose a strategy first: change everything to percents? to rupees? Then compare. The thinking matters more than speed.
The jacket sale
A jacket costs ₹800 in three shops. Which shop is cheapest?
Which shop is cheapest?
Show the working
A: 800 − 200 = ₹600. B: 800 − 240 = ₹560. C: 0.72 × 800 = ₹576. Shop B is cheapest.
The best test score
Three friends compare test scores.
Who did best?
Show the working
Mia: 18/25 = 72/100 = 72%. Leo: 70%. Sam: 74%. Sam did best.
Quiz: 8 questions
5 minReflect
3 minTeacher tip
Ask the child to justify the learner-profile choice with one example from today.
Which learner profile were you today?
3-2-1 exit ticket
- 3 things I learned
- 2 connections to real life
- 1 question I still wonder about
🏠 Home learning
- Find 3 places where fractions, decimals or percentages appear at home or in a shop (labels, sales, recipes). Write each one in the other two forms.
- Shade a 10 × 10 grid to show 3/5, then write it as a decimal and a percent.
- Ask a family member: when did they last use a percentage? Write their answer and the maths.
👪 For parents
Our IB maths classes follow the PYP approach: inquiry first, then skills and practice, with clear feedback after every class. A teacher from our network is matched to your child.
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