year 6: week 4, day 1 use equivalence to compare fractions · 2020. 4. 23. · year 6: week 4, day...

$: Year 6: Week 4, Day 1 Use equivalence to compare fractions · 2020. 4. 23. · Year 6: Week 4, Day 1 Use equivalence to compare fractions Each day covers one maths topic. It should$
ã Hamilton Trust

Year 6: Week 4, Day 1 Use equivalence to compare fractions

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

1. If possible, watch the PowerPoint presentation

with a teacher or another grown-up.

OR start by carefully reading through the Learning Reminders.

2. Tackle the questions on the Practice Sheet.

There might be a choice of either Mild (easier) or Hot (harder)! Check the answers.

3. Finding it tricky? That’s OK… have a go with a grown-

up at A Bit Stuck?

4. Have I mastered the topic? A few questions to

Check your understanding. Fold the page to hide the answers!

ã Hamilton Trust

Learning Reminders

© Hamilton Trust© Hamilton Trust

Practice Sheet MildEquivalent fractions

Use the fraction wall to help you join each fraction on the left to the equivalent fraction in its simplest form.

Challenge

Write some fractions which are equivalent to 1/4 but not on the fraction wall.

2/8

3/6

3/9

3/12

4/12

5/10

4/8

6/8

2/6

4/6

8/12

9/12

1/2

1/3

2/3

1/4

3/4

© Hamilton Trust

© Hamilton Trust

Body copy here

Challenge

Working at ARE

Challenge copy here...

© Hamilton Trust

© Hamilton Trust

Write these fractions as 1/6s. Then write them in order, starting with the smallest first.

2/3 1/2 1/3


1/2 2/5 3/5


2/3 3/4 1/4 1/3 1/6 5/6 1/2

Practice Sheet MildComparing fractions

3132

3334

3536

3738

3940

4142

4344

4546

4748

4950

51525354555657585960616263646566766869707172734775767778798081

8283

8485

8687

8889

9091

9293

9495

9697

9899

100

1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 036

© Hamilton Trust

1/2 1/2

1/3 1/3 1/3

1/4 1/4 1/4 1/4

1/5 1/5 1/5 1/5 1/5

1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9

1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10

1/11 1/11 1/11 1/11 1/11 1/11 1/11 1/11 1/11 1/11 1/11

1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12

1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10

1/15 1/15 1/15 1/151/151/15 1/15 1/15 1/151/151/15 1/15 1/15 1/151/15

1/201/201/201/201/201/20 1/201/201/201/201/201/20 1/201/201/201/201/201/20 1/201/20

ResourceFraction wall

© Hamilton Trust© Hamilton Trust

Practice Sheet HotEquivalent fractions

Ring all the fractions that are equivalent to 1/4

Challenge 2

Write at least 5 fractions which are equivalent to 2/5 .

2/8 2/7 3/12 4/20 5/20 1/ 0/30 1/ 0/40 4/16 4/100


3/12 3/6 2/6 4/12 4/9 1/ 0/30 3/9 5/15 6/15


5/15 2/10 3/15 4/20 5/20 5/100 2/ 0/100 1/ 0/50 4/25

Complete this list of fractions equivalent to 3/4

4 8 12 16 20

60 100

3 30 21

Challenge 1

Ava says that she can write 1/2, 3/4 , 2/5 and 2/3 as an equivalent number of fiftieths.Do you agree with her?

© Hamilton Trust

© Hamilton Trust

Body copy here

Challenge

Working at ARE


© Hamilton Trust

© Hamilton Trust

Write these pairs of fractions as the same type of fraction to help compare them.

1. 1/2 and 2/5

2. 1/3 and 2/5

3. 2/3 and 4/5

4. 1/4 and 2/5

5. 3/4 and 4/5

6. 5/6 and 7/9

7. 5/6 and 3/4

8. 1/3 and 2/7Write the groups of fractions as the same type of fraction, then write each group in order from least to greatest.

1. 1/5 1/3 4/15

2. 1/2 2/3 5/6

3. 1/2 3/4 2/3

4. 1/2 4/5 3/4

5. 1/2 5/6 7/9

Practice Sheet HotComparing fractions

© Hamilton Trust

Title

Body copy here

Challenge

_pract _day


Working towards ARE© Hamilton Trust

Practice Sheet AnswersEquivalent fractions (mild)

2/8 3/6

3/9

3/12 4/12

5/10

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

8/12 9/12

1/2

1/3

2/3

1/4

3/4

Ordering fractions (mild)

2/3 = 4/61/2 = 3/61/3 = 2/6Order smallest first: 1/3/ 1/2 2/3

1/2 = 5/102/5 = 4/103/5 = 6/10Order smallest first: 2/5 1/2 3/5

2/3 = 8/123/4 = 9/121/4 = 3/121/3 = 4/121/6 = 2/125/6 = 1/ 0/121/2 = 6/12Order smallest first: 1/6 1/4 1/3 1/2 2/3 9/12

Challenge

Write some fractions which are equivalent to 1/4 that are not on the fraction wall.

e.g. 2/8 3/12 4/16 5/20 6/24, etc.

© Hamilton Trust

Title

Body copy here

Challenge

_pract _day


Working towards ARE© Hamilton Trust

Comparing fractions (hot)

1. 1/2 = 5/10 > 2/5 = 4/102. 1/3 = 5/15 < 2/5 = 6/153. 2/3 = 1/ 0/15 < 4/5 = 1/ 2/154. 1/4 = 5/20 < 2/5 = 8/205. 3/4 = 1/ 5/20 < 4/5 = 1/ 6/206. 5/6 = 4/ 5/54 = 1/ 5/18 > 7/9 = 4/ 2/54 = 1/ 4/187. 5/6 = 2/ 0/24 = 1/ 0/12 > 3/4 = 1/ 8/24 = 9/128. 1/3 = 7/21 < 2/7 = 1/ 4/21

1. 1/5 = 3/15 4/15 1/3 = 5/152. 1/2 = 3/6 2/3 = 4/6 5/63. 1/2 = 6/12 2/3 = 8/12 3/4 = 9/12 4. 1/2 = 1/ 0/20 3/4 = 1/ 5/20 4/5 = 1/ 6/20 5. 1/2 = 9/18 7/9 = 1/ 4/18 5/6 = 1/ 5/18

Equivalent fractions (hot)

The fractions equivalent to 1/4 are: 2/8 3/12 5/20 1/ 0/40 4/16

The fractions equivalent to 1/3 are: 2/6 4/12 1/ 0/30 3/9 5/15

The fractions equivalent to 1/5 are: 2/10 3/15 4/20 2/ 0/100 1/ 0/50

3/4 6/8 9/12 1/ 2/16 1/ 5/20 3/ 0/40 4/ 5/60 7/ 5/100 2/ 1/28 The final fraction in this list can be any that is equivalent to 3/4.

Fractions equivalent to 2/5 could include: 4/10 6/15 8/20 1/ 0/25 1/ 2/30 and so on

Challenge 2

Ava is partly correct: 1/2 = 2/ 5/50 and 2/5 = 2/ 0/50. but 2/3 and 3/4 cannot be writen as fiftieths, because the denominators are not factors of 50.

Challenge 1

Practice Sheet Answers

¼ = 2⁄8¾ =

What to do:

1. Label the quarters above this line. Label the eighthsbelow it.

Now write as many pairs of equivalent fractions as you can.

2. Label the fifths above this line. Label the tenths below it.


3. Label the sixths above this line. Label the twelfths below it.


© Hamilton Trust

A Bit Stuck?Fraction families

Things you will need:• A pencil

0 1

0 1

0 1

Learning outcomes:• I can identify pairs of equivalent fractions on a fraction line.• I am beginning to identify fractions which are equivalent to ½, ¼ and ⅓, without thehelp of fraction line.

S-t-r-e-t-c-h:Write as many fractions as you can which are equivalent to ½, ¼ and ⅓.

ã Hamilton Trust

Check your understanding Questions

Write the missing numbers. ☐/6 = 4/☐

6/☐ = ☐/20 ☐/10 > 1/☐

☐/32 > ☐/8

Write three fractions which are equivalent to 3/4.


Now add 3/4 and 2/5.

Fold here to hide answers

Check your understanding Answers

Write the missing numbers. 2/6 = 4/12

6/10 = 12/20 ☐/10 > 1/☐ e.g. 6/10 > 1/2, 4/10 > 1/3 ☐/32 > ☐/8 e.g. 20/32 > 1/8, 5/32 > 1/8. For the 3rd and 4th of these many different answers are possible, are children able to explain their choice?


E.g. 6/8, 9/12, 12/16, 15/20, 30/40.


E.g. 4/10, 6/15, 8/20, 10/25, 20/50.

Now add 3/4 and 2/5. 13/20.

The lowest common denominator is twentieths: 3/4 + 2/5 = 15/20 + 8/20 = 23/20 = 13/20.

year 6: week 4, day 1 use equivalence to compare fractions · 2020. 4. 23. · year 6: week 4, day...

Documents