starter: bidmas … · •45 ÷ 5 x 3 = 27 •18 + 14 ÷ 4 = 8 write out the calculations and then...

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Starter: BIDMAS 4 x 3 + 6 = 36 24 – 3 ÷ 7 = 3 45 ÷ 5 x 3 = 27 18 + 14 ÷ 4 = 8 Write out the calculations and then add brackets in purple pen so that the answer is correct.

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Page 1: Starter: BIDMAS … · •45 ÷ 5 x 3 = 27 •18 + 14 ÷ 4 = 8 Write out the calculations and then add brackets in purple pen so that the answer is correct. Equivalent and Simplified

Starter: BIDMAS

• 4 x 3 + 6 = 36

• 24 – 3 ÷ 7 = 3

• 45 ÷ 5 x 3 = 27

• 18 + 14 ÷ 4 = 8

Write out the calculations

and then add brackets in

purple pen so that the

answer is correct.

Page 2: Starter: BIDMAS … · •45 ÷ 5 x 3 = 27 •18 + 14 ÷ 4 = 8 Write out the calculations and then add brackets in purple pen so that the answer is correct. Equivalent and Simplified

Equivalent and Simplified Fractions

Target: To be able to find equivalent fractions.

To be able to simplify fractions.

Starter: Copy and complete the multiplication grids

x 2 3 x 6 9

16 3 12

7 56 18

33 36

Page 3: Starter: BIDMAS … · •45 ÷ 5 x 3 = 27 •18 + 14 ÷ 4 = 8 Write out the calculations and then add brackets in purple pen so that the answer is correct. Equivalent and Simplified

How many equal sections is each square cut into?

How many of the sections are blue?

What fraction of each square is blue?

Are these fractions equal?

How do you get from one fraction to the next?

2 4 8 16

1 2 4 8

x2 x2 x2

Page 4: Starter: BIDMAS … · •45 ÷ 5 x 3 = 27 •18 + 14 ÷ 4 = 8 Write out the calculations and then add brackets in purple pen so that the answer is correct. Equivalent and Simplified

How many equal sections is each square cut into?

How many of the sections are blue?

What fraction of each square is blue?

Are these fractions equal?

How do you get from one fraction to the next?

3 9 36

1 3 12

x3 x4

Page 5: Starter: BIDMAS … · •45 ÷ 5 x 3 = 27 •18 + 14 ÷ 4 = 8 Write out the calculations and then add brackets in purple pen so that the answer is correct. Equivalent and Simplified

So to find equivalent fractions you multiply the numerator (the top number) and the denominator (the bottom number) by the same number.

E.g. Find 3 equivalent fractions to :

= = =

x2 x6 x24

Remember you can multiply by any number!!!

a)

b)

c)

d)

e)

f)

g)

h)

i)

j)

k)

l)

Practice Questions:

Find 3 equivalent fractions for each question

Page 6: Starter: BIDMAS … · •45 ÷ 5 x 3 = 27 •18 + 14 ÷ 4 = 8 Write out the calculations and then add brackets in purple pen so that the answer is correct. Equivalent and Simplified

Simplifying fractions is the opposites instead of multiplying the numerator and the denominator by the same number you divide it until you cant divide it anymore.

÷3

Remember you can only divide by a common

factor!!!

E.g. Simplify the fraction :

= =

÷2

a)

b)

c)

d)

e)

f)

g)

h)

i)

j)

k)

l)

Practice Questions:

Simplify the following fractions

Page 7: Starter: BIDMAS … · •45 ÷ 5 x 3 = 27 •18 + 14 ÷ 4 = 8 Write out the calculations and then add brackets in purple pen so that the answer is correct. Equivalent and Simplified

Simplifying fractions

Page 8: Starter: BIDMAS … · •45 ÷ 5 x 3 = 27 •18 + 14 ÷ 4 = 8 Write out the calculations and then add brackets in purple pen so that the answer is correct. Equivalent and Simplified

L.I:To use common factors to simplify fractions

S.C:. I can use my knowledge of common factors to find the HCF

. I can divide my numerator and denominator by the HCF

. I can use my reasoning skills to explain my findings

Page 11: Starter: BIDMAS … · •45 ÷ 5 x 3 = 27 •18 + 14 ÷ 4 = 8 Write out the calculations and then add brackets in purple pen so that the answer is correct. Equivalent and Simplified

To simplify, we must first…

• 1. Find the common factors of our numerator and denominator.

• 2. We then need to locate the HCF.

• 3. Then we divide our numerator and denominator by our HCF to get

our simplified fraction.

Page 12: Starter: BIDMAS … · •45 ÷ 5 x 3 = 27 •18 + 14 ÷ 4 = 8 Write out the calculations and then add brackets in purple pen so that the answer is correct. Equivalent and Simplified

Recap: common factors?

Highest Common Factor = 4

Page 13: Starter: BIDMAS … · •45 ÷ 5 x 3 = 27 •18 + 14 ÷ 4 = 8 Write out the calculations and then add brackets in purple pen so that the answer is correct. Equivalent and Simplified

Let’s try it!

6

24

HCF: 6Divide the numerator and denominator by the Highest common Factor: 6

Simplified fraction:

¼

Page 14: Starter: BIDMAS … · •45 ÷ 5 x 3 = 27 •18 + 14 ÷ 4 = 8 Write out the calculations and then add brackets in purple pen so that the answer is correct. Equivalent and Simplified

Let’s try it!

8

36

HCF: 4Divide the numerator and denominator by the Highest common Factor: 4

Simplified fraction:

2/12 = 1/6

Page 15: Starter: BIDMAS … · •45 ÷ 5 x 3 = 27 •18 + 14 ÷ 4 = 8 Write out the calculations and then add brackets in purple pen so that the answer is correct. Equivalent and Simplified

Let’s try it!

12

18

HCF:

Simplified fraction:

Page 16: Starter: BIDMAS … · •45 ÷ 5 x 3 = 27 •18 + 14 ÷ 4 = 8 Write out the calculations and then add brackets in purple pen so that the answer is correct. Equivalent and Simplified

Let’s try some more…

• 27

• 36

HCF:

Simplified fraction:

Page 17: Starter: BIDMAS … · •45 ÷ 5 x 3 = 27 •18 + 14 ÷ 4 = 8 Write out the calculations and then add brackets in purple pen so that the answer is correct. Equivalent and Simplified

Let’s try some more…

• 16

• 40

HCF:

Simplified fraction:

Page 18: Starter: BIDMAS … · •45 ÷ 5 x 3 = 27 •18 + 14 ÷ 4 = 8 Write out the calculations and then add brackets in purple pen so that the answer is correct. Equivalent and Simplified

Match the fraction to its simplified form

4

7

A.

B.

C.

3

4

4

5

4

7

3

4

4

5

A.

B.

C.

Page 19: Starter: BIDMAS … · •45 ÷ 5 x 3 = 27 •18 + 14 ÷ 4 = 8 Write out the calculations and then add brackets in purple pen so that the answer is correct. Equivalent and Simplified

Reasoning

• Show me a fraction that can cancel down to 3/4

Page 20: Starter: BIDMAS … · •45 ÷ 5 x 3 = 27 •18 + 14 ÷ 4 = 8 Write out the calculations and then add brackets in purple pen so that the answer is correct. Equivalent and Simplified

REASONING

• What is the same? What is different?

• 10/20 1/2 25/50