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Calculator. Scientific Notation. Using the calculator and Scientific Notation. Using the calculator for fractions. www.mathsrevision.com. Simplifying Ratios. Ratio & Proportional Division. Calculator. S3.3. Starter Questions. 10cm. www.mathsrevision.com. x cm. 8cm.

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scientific notation

Calculator

Scientific Notation

Using the calculator and Scientific Notation

Using the calculator for fractions

www.mathsrevision.com

Simplifying Ratios

Ratio & Proportional Division

Created by Mr. Lafferty @www.mathsrevision.com

starter questions

Calculator

S3.3

Starter Questions

10cm

www.mathsrevision.com

x cm

8cm

Created by Mr. Lafferty @www.mathsrevision.com

slide3

Scientific Notation

Calculator

S3.3

Learning Intention

Success Criteria

  • To be able to use the calculator to calculate values using scientific notation.
  • To show how to do calculation using scientific notation on the calculator.

www.mathsrevision.com

Created by Mr. Lafferty @www.mathsrevision.com

slide4

xy

4

0

5

3

1

x

Using the calculator

S3.3

We can use scientific notation on the calculator.

Depending on your calculator you will use one of the

following buttons.

xy

10x

EXP

EE

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(you may have to use the shift button)

Enter the 5.4x103 into your calculator

Calculator Keys

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slide5

xy

xy

2

3

0

0

8

6

7

-

1

1

1

5

1

1

x

x

Using the calculator

S3.3

xy

10x

EXP

EE

(you may have to use the shift button)

Not the subtraction button

Example: 6.25x10-7

Calculator Keys

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Example: 8.31x1011

Calculator Keys

Created by Mr. Lafferty @www.mathsrevision.com

slide6

xy

xy

(

0

0

4

(

8

)

6

)

6

1

=

x

x

0.5

1

x

Using the calculator

S3.3

Calculate: 4 x 106 ÷ 8 x 106

It is good practice to put each value in brackets

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exe

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slide7

Using the calculator

Now try

Ex 7.1 and Ex 7.2

Ch 1 (page 10)

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starter questions1

Calculator

S3.3

Starter Questions

y cm

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12 cm

5cm

Created by Mr. Lafferty @www.mathsrevision.com

slide9

Using the calculator

Fractions

S3.3

Learning Intention

Success Criteria

  • To be able to use the calculator to calculate fractions.
  • To show how to do calculation using fractions on the calculator.

www.mathsrevision.com

Created by Mr. Lafferty @www.mathsrevision.com

slide10

Using the calculator

Reminder on fractions

A fraction has a numerator and denominator

The value of a fraction can be calculated by

dividing the numerator by the denominator

A proper fraction has a value of less than 1

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An improper fraction is of the form

A mixed number contains whole number and fractions

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slide11

3

4

=

Using the calculator

Fractions

We can use the calculator when working with fractions

The fraction button is :

Express as a decimal

Example 1:

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0.75

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slide12

7

5

4

10

=

=

=

Using the calculator

Fractions

0.5

1┌2

1┌3 ┌4

Express as a mixed number

Express as a decimal

Example 3:

Example 2:

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slide13

4

4

3

2

5

2

3

=

3

+

=

Using the calculator

Fractions

2nd

14┌3

5┌4┌ 15

Express as a improper fraction

Add

Example 5:

Example 4:

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slide14

Using the calculator

Fractions

Now try

Ex 8.1 and Ex 8.2

Ch 1 (page 13)

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starter questions2

Starter Questions

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Created by Mr. Lafferty @www.mathsrevision.com

slide16

Ratios

What is a ratio ?

Learning Intention

Success Criteria

  • Understand the term ratio. .
  • 1. To understand what a ratio is and explain how we can sometimes simplify them.
  • 2. Calculate and simplify basic ratios.

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Created by Mr. Lafferty @www.mathsrevision.com

slide17

Ratios

What is a ratio ?

Ratios can be used to compare different quantities

Example : There are 2 triangles and 3 rectangles.

The ratio of triangles to rectangles

is said to be 2 : 3

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Note: The ratio of rectangles to triangles is said to be 3 : 2

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slide18

Ratios

Simplifying a ratio ?

Simplifying a ratio is like simplifying fractions

Fraction :

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Ratio :

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slide19

Ratios

Simplifying a ratio ?

Sometimes we need to multiply to simplify

Ratio :

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slide20

Ratios

Simplifying a ratio ?

When working with ratios,

the two units MUST be the same

Ratio :

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slide21

Ratios

Simplifying a ratio ?

By first multiplying by ten to get rid of the decimals

simplifying the following ratios:

(a) 2.2 : 3.3

22 : 33

2 : 3

(b) 1.6 : 9.6

16 : 96

1 : 6

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(c) 0.5 : 100

5 : 1000

1 : 200

(d) 8.5 : 9.5

85 : 95

17 : 19

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slide22

Ratios

Simplifying a ratio ?

By eliminating the fractions simplify the ratios.

Multiply each side by 4

2 : 3

Multiply each side by 35

5 : 21

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Multiply each side by 12

8 : 21

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slide23

Ratios

Simplifying Ratios

Now try Ex 9.1

Ch1 (page 16)

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starter questions3

Starter Questions

9

8

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slide25

Ratios

Ratio & Proportional Division

Learning Intention

Success Criteria

1. Work out the number of shares for a ratio.

  • 1. Explain how to work out Ratio & Proportional division by using shares.

2. Solve problems using shares.

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3. Show appropriate working.

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slide26

Ratios

Ratio & Proportional Division

Example : Bill and Ben share a raffle win of £400 in

the ratio 3:5. How much does each get ?

Step 1 : Since the ratio is 3:5, there are :

3+5 = 8 shares

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Step 2 : Each share is worth :

Check !

150 + 250 = 400

Step 3 : Bill gets 3 x 50 = £150

Ben gets 5 x 50 = £250

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slide27

Ratios

Ratio & Proportional Division

Example : Ryan and Ross share 24 cakes in the ratio

3:1. How many cakes does each get ?

Step 1 : Since the ratio is 3:1, there are :

3+1 = 4 shares

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Step 2 : Each share is worth :

Check !

18 + 6

= 24

Step 3 : Ryan gets 3 x 6 = 18

Ross gets 1 x 6 = 6

Created by Mr. Lafferty @www.mathsrevision.com

slide28

Ratios

Ratio & Proportional Division

Now try Ex 9.2

Ch1 (page 16)

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Created by Mr. Lafferty @www.mathsrevision.com