Fractions and Place Value PUMA Prep
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Fractions and Place Value PUMA Prep
Year 3/4 Mathematics Building Confidence for Assessment WALT: Prepare for PUMA-style fraction and place value questions
WALT and Success Criteria
WALT: Prepare to answer Year 3/4 fraction and place value questions confidently Success Criteria: • I can recognise unit fractions and simple fractions • I can compare fractions with the same denominator • I can solve fraction-of-a-set problems • I can work with tenths and decimal notation
Quick Recall: What Do You Know?
Think about these questions: • What does the numerator tell us? • How do we find 1/4 of a number? • Which is larger: 1/3 or 1/5? • What happens when we divide by 10?
What Are Fractions?
Fractions show equal parts They can show parts of a whole shape They can show parts of a set of objects The bottom number (denominator) tells us how many equal parts The top number (numerator) tells us how many parts we have
Understanding Unit Fractions
A unit fraction has 1 on top (numerator = 1) Examples: 1/2, 1/3, 1/4, 1/5 1/4 means ONE part out of FOUR equal parts To find 1/4 of something, we DIVIDE by 4
PUMA Warm-Up: Unit Fractions
Work these out on your mini whiteboard: 1. Find 1/3 of 15 2. Find 1/4 of 20 3. Find 1/5 of 25 Show your working!
Reading PUMA Questions Carefully
PUMA questions need careful reading Look for key words like 'find', 'calculate', 'how many' Underline the important numbers Circle what you need to find out Think: What operation do I need?
Practice Question
Sarah has 24 stickers. She gives 1/4 of them to her friend. How many stickers does Sarah give away? What operation will you use? Show your working clearly.
Comparing Fractions with Same Denominator
When fractions have the same bottom number (denominator): Look at the top numbers (numerators) The bigger numerator = the bigger fraction Example: 3/8 is bigger than 1/8 Because 3 > 1
Fraction Ordering Challenge
Put these fractions in order from SMALLEST to LARGEST: 2/10, 7/10, 1/10, 9/10, 5/10 Remember: Same denominator = compare the numerators! Write your answer on your whiteboard
Fractions of a Set
Sometimes we find fractions of groups of objects Example: 3/4 of 8 marbles Method: Divide the total by the denominator first 8 ÷ 4 = 2 (each group has 2 marbles) Then multiply by the numerator: 2 × 3 = 6 marbles
Try This Problem
There are 12 apples in a basket. Tom takes 2/3 of the apples. How many apples does Tom take? Work it out step by step!