Year 5 Maths Week 9 Week beginning 8th June 2020

Remember to go on TT Rockstars as well!

Monday 8th June 2020 – Factors and

Multiples

Factors

"Factors" are the numbers we can multiply together to get another number:

in 2x3=6,

2 and 3 are factors

2 and 3 are factors of 6

The numbers 1 and 6 would also be factors of 6 ( 1 x 6 = 6 )

A number can have many factors or it could only have two...

Multiples

A multiple is the result of multiplying a number by an integer

in 2x3=6,

2 and 3 are factors

6 is a multiple of 3

6 is a multiple of 2

List 5 other multiples of 3: ……………………

List 5 other multiples of 2: ……………………

Watch the video on SWECET youtube channel

on how to find a number’s factors.

Now try:

What are the factors of 18?

What are the factors of 30?

What are the factors of 76?

Check your answers on the next page.

Answers:

Factors of 18 are: 1, 2, 3, 6, 9, 18.

Factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30.

Factors of 76 are: 1, 2, 4, 19, 38, 76.

Challenge: Generate your own numbers to find their factors.

Did you know, prime

numbers only have two

factors: themselves and 1!

Challenge 1

Challenge 2:

What are the common factors of 24 and 30?

(Find the factors for each number first, then circle the factors that are the same

for each number)

What are the common factors of 28 and 40?

Answers

Common factors of 24 and 30: 1, 2, 3, 6.

Common factors of 28 and 40: 1, 2, 4.

Tuesday 9th June 2020 – Revising

Equivalent fractions

Equivalent Fractions have

the same value, even

though they may look

different.

They may have been cut

into a different number of

pieces, but they have the

same value.

You try these:

Answers

Look at these:

Now you try these

two.

Knowledge of times

tables helps here. We

know 5 x 3 is 15.

Follow the rule, what

you do to the

denominator, you do

to the numerator.

Were you correct? Now try:

Challenge:

Answers:

Extension:

Answers:

Wednesday 10th June 2020 – Adding

fractions

To add fractions there are ‘Three Simple Steps’:

Step 1: Make sure the bottom numbers (the denominators) are the same

Step 2: Add the top numbers (the numerators), put that answer over the

denominator

Step 3: Simplify the fraction (if needed)

Let’s start with denominators the same:

You try:

a) 5/9 + 3/9 =

b) 4/9 + 2/9 =

c) 4/7 + 1/7 =

d) 1/6 + 4/6 =

e) 4/8 + 3/8 =

f) 1/6 + 2/6 =

g) 2/9 + 2/9 =

h) 1/9 + 2/9 =

i) 3/6 + 2/6 =

Answers:

a) 5/9 + 3/9 = 8/9

b) 4/9 + 2/9 = 6/9 = 2/3

c) 4/7 + 1/7 = 5/7

d) 1/6 + 4/6 =5/6

e) 4/8 + 3/8 = 7/8

f) 1/6 + 2/6 = 3/6 = 1/2

g) 2/9 + 2/9 = 4/9

h) 1/9 + 2/9 = 3/9 = 1/3

i) 3/6 + 2/6 = 5/6

Now let’s look at different denominators

This rhyme might help you to

remember:

♫ "If adding or subtracting is your aim,

The bottom numbers must be the same!

♫ "Change the bottom using multiply or divide,

But the same to the top must be applied,

♫ "And don't forget to simplify,

Before its time to say good bye"

Now you try: Challenge:

a) 1/8 + ½ =

b) 1/10 + 1/12 =

c) 1/8 + 1/5 =

d) 1/10 + 1/3 =

e) 1/10 + 1/10 =

f) 1/10 + 1/8 =

g) 1/5 + ½ =

h) ¼ + 1/5 =

i) 1/12 + 1/7 =

a) 1/3 + 3/5 =

b) 3/7 1/5 =

c) ¼ + ½ =

d) 1/10 + 1/3 =

e) 1/3 + 1/2 =

f) 3/8 + 2/5 =

g) 1/3 + 1/6 =

h) 2/3 + 1/5 =

i) 4/9 + 1/2 =

Answers:

a) 1/8 + ½ = 5/8

b) 1/10 + 1/12 = 11/60

c) 1/8 + 1/5 = 13/40

d) 1/10 + 1/3 = 13/30

e) 1/10 + 1/10 = 2/10 = 1/5

f) 1/10 + 1/8 = 9/40

g) 1/5 + ½ = 7/10

h) ¼ + 1/5 = 9/20

i) 1/12 + 1/7 = 19/84

a) 1/3 + 3/5 = 14/15

b) 3/7 1/5 = 22/35

c) ¼ + ½ = 3/4

d) 1/10 + 1/3 = 13/30

e) 1/3 + 1/2 = 5/6

f) 3/8 + 2/5 =31/40

g) 1/3 + 1/6 = 3/6 = 1/2

h) 2/3 + 1/5 = 13/15

i) 4/9 + 1/2 = 17/18

Thursday 11th June 2020 – Subtracting

fractions

Subtracting fractions is similar to adding as you also need to make the denominators the same.

If the denominators are already the same, you just subtract the numerators.

Remember the rhyme?

♫ "If adding or subtracting is your aim,

The bottom numbers must be the same!

♫ "Change the bottom using multiply or divide,

But the same to the top must be applied,

♫ "And don't forget to simplify,

Before its time to say good bye"

Same denominators:

a) 4/6 – 3/6 =

b) 5/6 – 1/6 =

c) 6/10 – 3/10 =

d) 4/10 – 3/10 =

e) 5/8 – 1/8 =

f) 5/7 – 1/7 =

g) 5/9 – 5/9 =

h) 5/9 – 4/9 =

i) 2/6 – 1/6 =

Answers:

a) 4/6 – 3/6 = 1/6

b) 5/6 – 1/6 = 4/6 = 2/3

c) 6/10 – 3/10 = 3/10

d) 4/10 – 3/10 = 1/10

e) 5/8 – 1/8 = 4/8 = ½

f) 5/7 – 1/7 = 4/7

g) 5/9 – 5/9 = 0

h) 5/9 – 4/9 = 1/9

i) 2/6 – 1/6 = 1/6

Different denominators: Challenge:

a) ½ - 1/8 =

b) 1/10 – 1/12 =

c) 1/5 – 1/8 =

d) 1/3 – 1/10 =

e) 1/10 – 1/10 =

f) 1/8 – 1/10 =

g) ½ - 1/5 =

h) ¼ - 1/11 =

i) ¼ - ¼ =

a) 3/5 – 1/3 =

b) 3/7 – 1/5 =

c) 5/8 – ½ =

d) 5/9 – ½ =

e) 5/7 – 5/8 =

f) ½ - ¼ =

g) 1/3 – 1/10 =

h) 3/5 – ½ =

i) ½ - 1/3 =

Answers:

a) ½ - 1/8 = 3/8

b) 1/10 – 1/12 = 2/120 = 1/60

c) 1/5 – 1/8 = 6/80 = 3/40

d) 1/3 – 1/10 = 7/30

e) 1/10 – 1/10 = 0

f) 1/8 – 1/10 = 2/80 = 1/40

g) ½ - 1/5 = 3/10

h) ¼ - 1/11 = 7/44

i) ¼ - ¼ = 0

a) 3/5 – 1/3 = 4/15

b) 3/7 – 1/5 = 8/35

c) 5/8 – ½ = 1/8

d) 5/9 – ½ = 1/18

e) 5/7 – 5/8 = 5/56

f) ½ - ¼ = ¼

g) 1/3 – 1/10 = 7/30

h) 3/5 – ½ = 1/10

i) ½ - 1/3 = 1/6

Friday 12th June 2020 – Multiplying

fractions

Remember last time you multiplied fractions?

You followed these three easy steps:

1. Multiply the top numbers (the numerators).

2. Multiply the bottom numbers (the denominators).

3. Simplify the fraction if needed.

For example:

Ready for another rhyme?

♫ "Multiplying fractions: no big problem,

Top times top over bottom times bottom.

"And don't forget to simplify,

Before it's time to say goodbye" ♫

Try these worded problems:

Answers: As an improper fraction:

18/5

21/4

40/6

10/3

14/3

45/7

77/4

48/5