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3-May-15Compiled by Mr. Lafferty Maths Dept. Volume www.mathsrevision.com Counting Volume cubes Volume of a cuboid Liquid Volume Scales S4 Weight and Scales.

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Presentation on theme: "3-May-15Compiled by Mr. Lafferty Maths Dept. Volume www.mathsrevision.com Counting Volume cubes Volume of a cuboid Liquid Volume Scales S4 Weight and Scales."— Presentation transcript:

1 3-May-15Compiled by Mr. Lafferty Maths Dept. Volume Counting Volume cubes Volume of a cuboid Liquid Volume Scales S4 Weight and Scales Using Weights

2 3-May-15Compiled by Mr. Lafferty Maths Dept. Created by Mr. Starter Questions S4 Sunday, May 03, 2015Sunday, May 03, 2015Sunday, May 03, 2015Sunday, May 03,

3 3-May-15Compiled by Mr. Lafferty Maths Dept. Volumes by Counting Cubes Learning Intention Success Criteria 1.To know what volume means. 1.To understand the term volume in terms of counting cubes. 2.Work out volumes using 1cm 3 cubes. 3.Answer to contain appropriate units. appropriate units. S4

4 3-May-15Compiled by Mr. Lafferty Maths Dept. Volume is the amount of space a 3D - shape takes up S4 Volume & Weight Grain of salt 1mm 2 A dice 1cm 2 4 Wheelie bins 1m 2

5 3-May-15Compiled by Mr. Lafferty Maths Dept. Weight is measured in grams, Kilograms and Tonnes S4 Volume & Weight A cubic centimetre of water weights exactly 1g A litre of water weights exactly 1 kg A cubic metre of water weighs exactly 1 Tonne 1g 1kg 1Tonne

6 3-May-15Compiled by Mr. Lafferty Maths Dept. What unit of volume should you use to measure S4 Volume & Weight (a)Packet of cereal (b)A diamond (c)A warehouse (d)A raindrop (e)The water in a swimming pool cm 3 mm 3 m3m3 m3m3

7 3-May-15Compiled by Mr. Lafferty Maths Dept. What unit of weight should you use to measure S4 Volume & Weight (a)A person (b)A yacht (c)A cup of water (d)A load of timber (e)A feather kg Tonnes g g

8 3-May-15Compiled by Mr. Lafferty Maths Dept. = 1 centimetre cube 1cm = 1 cm³ One Unit of Volume is the “CUBIC CENTIMETRE” Volume is the amount of space a 3D - shape takes up S4 Volumes by Counting Cubes

9 3-May-15Compiled by Mr. Lafferty Maths Dept. = 3 centimetre cubes = 3 cm³ This shape is made up of 1 centimetre cubes placed next to each other. What is its volume in cm³ 1cm Volumes by Counting Cubes S4

10 3-May-15Compiled by Mr. Lafferty Maths Dept. What is its volume in cm³ of these shapes. 5 cm 3 6 cm 3 5 cm 3 Volumes by Counting Cubes S4

11 3-May-15Compiled by Mr. Lafferty Maths Dept. Volume = 24 centimetre cube One unit of Volume is the “CUBIC CENTIMETRE” 2cm 3cm 4cm = 24 cm³ Volumes by Counting Cubes S4

12 3-May-15Compiled by Mr. Lafferty Maths Dept. Now try Ex 2.1 Ch4 (page 57) Volumes by Counting Cubes S4

13 3-May-15Compiled by Mr. Lafferty Maths Dept. Created by Mr. Starter Questions S4 Sunday, May 03, 2015Sunday, May 03, 2015Sunday, May 03, 2015Sunday, May 03,

14 3-May-15Compiled by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.To know the formula. 1.To understand how to calculate the volume of cuboid. 2.Use formula correctly. 3.Show working and appropriate units. appropriate units. Volume of a cuboid S4

15 3-May-15Compiled by Mr. Lafferty Maths Dept. Volume of a cuboid 4 layers of 18 cubes = 4 x 18= 72 centimetre cubes= 72 cm³ 18 cubes fit the base. = 1 centimetre cube = 1 cm³ 3cm 4cm 6cm S4

16 3-May-15Compiled by Mr. Lafferty Maths Dept. A short cut ! 6 = 72 cm³ Volume =lengthx breadth x 4 x height length breadth height x 3Volume = 3cm 4cm 6cm Area of rectangle S4

17 3-May-15Compiled by Mr. Lafferty Maths Dept. Volume = l x b x h V = 18 x 5 x 27 V = 2430 cm³ Example 1 18 cm 5 cm 27cm Heilander’s Porridge Oats Working

18 3-May-15Compiled by Mr. Lafferty Maths Dept. Example 2 2cm Volume = l x b x h V = 2 x 2 x 2 V = 8 cm³ Working S4

19 3-May-15Compiled by Mr. Lafferty Maths Dept. Now try Ex 3.1 & 3.2 Ch4 (page 58) Volume of a cuboid S4

20 3-May-15Compiled by Mr. Lafferty Maths Dept. Created by Mr. Starter Questions S4 Sunday, May 03, 2015Sunday, May 03, 2015Sunday, May 03, 2015Sunday, May 03,

21 3-May-15Compiled by Mr. Lafferty Maths Dept. Liquid Volume Learning Intention Success Criteria 1.To know the term liquid volume. 1.To understand the term liquid volume using millilitres and litres. 2.Work out volumes using ml and litres. 3.Answer to contain appropriate units. appropriate units. S4

22 3-May-15Compiled by Mr. Lafferty Maths Dept. A cube with volume 1cm³ holds exact 1 millilitre of liquid. A volume of 1000 ml = 1 litre. Liquid Volume S4 Liquids are measured in ml and litres These jugs have different scales. How do we work out how much liquid in a jug?

23 3-May-15Compiled by Mr. Lafferty Maths Dept. Liquid Volume S4 Litres How much liquid in the jug ? Count the number of small divisions 5 Each division is worth 1 litre ÷ 5 = 1000ml ÷ 5 = 200ml 200ml x 4 = 800ml 1litre = 1000ml

24 3-May-15Compiled by Mr. Lafferty Maths Dept. Liquid Volume S4 Litres How much liquid in the jug ? Count the number of small divisions 5 Each division is worth 1 litre ÷ 5 = 1000ml ÷ 5 = 200ml 200ml x 7 = 1400ml or 1.4 litres 1litre = 1000ml

25 3-May-15Compiled by Mr. Lafferty Maths Dept. Liquid Volume S4 Litres How much liquid in the jug ? ( Careful different scale) Count the number of small divisions 4 Each division is worth 1 litre ÷ 4 = 1000ml ÷ 4 = 250ml 250ml x 7 = 1750ml or 1.75 litres 1litre = 1000ml

26 3-May-15Compiled by Mr. Lafferty Maths Dept. Now try Ex 4.1 Ch4 (page 61) Liquid Volume S4

27 3-May-15Compiled by Mr. Lafferty Maths Dept. Starter Questions S4 Q1.Convert to 24hr clock Q2.Round to 1 decimal place Q3. How many minutes in 6 hours Q4.Find the time difference between 5.12am and 2.34pm 8.15am10.02pm

28 3-May-15Compiled by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.To be able to read scales. 1.To explain how to read scales for weighs and how to convert from grams to kilograms and vice versa. 2.Be able to convert from grams to kilograms and vice versa. S4 Weight & Scales

29 3-May-15Compiled by Mr. Lafferty Maths Dept. S4 Calculate the weight each arrow is pointing at? Count the number of small divisions 5 Each division is worth 100 ÷ 5 = 20g Weight & Scales 0 100g 200g 300g 400g 500g 120g 280g 540g

30 3-May-15Compiled by Mr. Lafferty Maths Dept. S4 Calculate the weight each arrow is pointing at? Count the number of small divisions 5 Each division is worth 200 ÷ 5 = 40g Weight & Scales 0 200g 400g 600g 800g 1kg 80g 720g 1kg 20g

31 3-May-15Compiled by Mr. Lafferty Maths Dept. S4 Calculate the weight each arrow is pointing at? Count the number of small divisions 5 Each division is worth 200 ÷ 5 = 40g Weight & Scales 0 200g 400g 600g 800g 1kg 80g 720g 1kg 20g

32 3-May-15Compiled by Mr. Lafferty Maths Dept. S4 Weight & Scales Kilograms grams x kg 2 x g 1.5kg 1.5 x g grams Kilograms ÷ g 3000 ÷ kg 1500g 1500 ÷ kg

33 3-May-15Compiled by Mr. Lafferty Maths Dept. Now try Ex 5.1 & 6.1 Ch4 (page 63) Weight & Scales S4

34 3-May-15Compiled by Mr. Lafferty Maths Dept. Starter Questions Starter Questions Level E 40 o

35 3-May-15Compiled by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.To be able to convert between grams and kilograms. 1.To solve problems involving weight and proportion. 2.Use proportion to solve weight problems. S4 Weight & Scales

36 3-May-15Compiled by Mr. Lafferty Maths Dept. S4 Weight & Scales 1000g = 1kg 1000kg = 1 tonne You need to remember the following. Example : Change 1.7kg to grams 1.7 x 1000 =1700g

37 3-May-15Compiled by Mr. Lafferty Maths Dept. S4 Weight & Scales 1000g = 1kg 1000kg = 1 tonne You need to remember the following. Example : Change 3200kg to tonnes 3200 ÷ 1000 = 3.2 tonnes

38 3-May-15Compiled by Mr. Lafferty Maths Dept. S4 Weight & Scales 1000g = 1kg 1000kg = 1 tonne You need to remember the following. Example : Change 4.5kg to kg and grams 4 kg500g

39 3-May-15Compiled by Mr. Lafferty Maths Dept. 39 Using Weight 4 packets of crisps weigh 100g (a) What is the weight of 1 packet. (b) What is the weight of 6 packets. Answer : (a) 4pkts  100g 1 pkt  100 ÷ 4 =25g Answer : (b) 6 pkts  25 x 6 = 150g S4

40 3-May-15Compiled by Mr. Lafferty Maths Dept. 40 Using Weight 6 teacakes weigh 120g (a) What is the weight of 1 teacake. (b) What is the weight of 10 teacakes. Answer : (a) 6pkts  120g 1 pkt  120 ÷ 6 =20g Answer : (b) 10 pkts  20 x 10 = 200g S4

41 3-May-15Compiled by Mr. Lafferty Maths Dept. Now try Ex 7.1 & 7.2 Ch4 (page 65) Weight & Scales S4


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