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ã Hamilton Trust

Year 3: Week 3, Day 2 Use a fraction wall to order groups of fractions

Each day covers one maths topic. It should take you about 1 hour or just a little more.

1. Start by reading through the Learning Reminders.They come from our PowerPoint slides.

2. Tackle the questions on the Practice Sheet.There might be a choice of either Mild (easier) orHot (harder)!Check the answers.

3. Finding it tricky? Answer some questions basedon the A Bit Stuck? activity from yesterday.

4. Think you’ve cracked it? Whizzed through the Practice Sheets? Have a goat the Investigation…

ã Hamilton Trust

Learning Reminders

ã Hamilton Trust

Learning Reminders

ã Hamilton Trust

Learning Reminders

© Hamilton Trust

Practice Sheet for AllComparing fractions

Challenge

1. 1/2 1/4 1/33. 1/8 1/5 1/7

Write these groups of fractions in order, smallest first.

2. 2/3 1/2 2/54. 3/4 7/8 4/5

1. Write each set of three fractions in order, smallest to largest.Use the fraction wall to help you.

1/2 2/3 1/4 1/3 1/4 1/6

1/3 2/3 1/8 1/7 1/8 1/5

1/8 1/2 2/5 1/2 2/7 3/4

2. Write < or > or = between each pair of fractions.

1/2 1/4 1/6 1/8

2/5 2/7 1/2 4/8

© Hamilton Trust

Comparing fractions

1.

2.

Practice Sheet Answers

Challenge

1. 1/41/31/2 2. 2/51/22/3

3. 1/81/71/5 4. 3/44/57/8

1/2 2/31/4 1/31/41/6

1/3 2/31/8 1/71/8 1/5

1/8 1/22/5 1/22/7 3/4

1/2>1/4 1/6> 1/8

2/5> 2/7 1/2= 4/8

ã Hamilton Trust

A Bit Tricky? The half family

Follow-up questions

Focus of activity: Finding fractions which are equivalent to one half.

Colour in any fractions that reach exactly the same distance across the wall as 1/2. HINT: Not every row will have a fraction that is exactly equivalent to 1/2.

InvestigationFraction bets!

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+ ? = x cm³ ½ ÷ £ ⅓ > m² + % < cm ? × ÷< ⅓

© Hamilton Trust

1. Spread out the fraction cards. We willbe placing all these fractions along aline. Before we do that, place your beton which two will be closest together.

2. Talk about which two fractions areclosest together. Which two fractionsare nearly the same amount?

3. Write your fraction bet down.

4. Use the line. Mark the different fractionson it. Make sure you mark each one inthe correct place.

5. Continue until it is clear which fractionsare really close to each other on the line.

6. Whose bet was correct?

I bet that and are closest together

3 5− −4 6

0 1¹₂

InvestigationFraction bets!

+?=xcm³½÷£⅓>m2+%<⅚–cm?×÷cm³½÷£⅓>m2+%<? = x cm³ ½ ÷ £ ⅓ > m2 + % < ⅚ – cm ? × ÷ = x cm³ ½ ÷ £ ⅓ > m2 + %+

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<⅓ © Hamilton Trust

1 3 5 7 1 5 1 3 1 2 18 8 8 8 6 6 4 4 3 3 2

0 1¹₂

+?=xcm³½÷£⅓>m2+%<⅚–cm?×÷cm³½÷£⅓>m2+%<? = x cm³ ½ ÷ £ ⅓ > m2 + % < ⅚ – cm ? × ÷ = x cm³ ½ ÷ £ ⅓ > m2 + %+

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<⅓ © Hamilton Trust

1 3 5 7 1 5 1 3 1 2 18 8 8 8 6 6 4 4 3 3 2

0 1¹₂

InvestigationFraction bets!

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