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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 Using Weights

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

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3-May-15Compiled by Mr. Lafferty Maths Dept. Volumes by Counting Cubes www.mathsrevision.com 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

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

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3-May-15Compiled by Mr. Lafferty Maths Dept. Weight is measured in grams, Kilograms and Tonnes www.mathsrevision.com 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

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3-May-15Compiled by Mr. Lafferty Maths Dept. What unit of volume should you use to measure www.mathsrevision.com 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

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3-May-15Compiled by Mr. Lafferty Maths Dept. What unit of weight should you use to measure www.mathsrevision.com 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

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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 www.mathsrevision.com S4 Volumes by Counting Cubes

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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 www.mathsrevision.com Volumes by Counting Cubes S4

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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 www.mathsrevision.com Volumes by Counting Cubes S4

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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 www.mathsrevision.com Volumes by Counting Cubes S4

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

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

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3-May-15Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com 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

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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

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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

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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

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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

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

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

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3-May-15Compiled by Mr. Lafferty Maths Dept. Liquid Volume www.mathsrevision.com 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

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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 www.mathsrevision.com S4 Liquids are measured in ml and litres These jugs have different scales. How do we work out how much liquid in a jug?

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3-May-15Compiled by Mr. Lafferty Maths Dept. Liquid Volume www.mathsrevision.com S4 Litres 1 2 0 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

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3-May-15Compiled by Mr. Lafferty Maths Dept. Liquid Volume www.mathsrevision.com S4 Litres 1 2 0 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

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3-May-15Compiled by Mr. Lafferty Maths Dept. Liquid Volume www.mathsrevision.com S4 Litres 1 2 0 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

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

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3-May-15Compiled by Mr. Lafferty Maths Dept. Starter Questions www.mathsrevision.com S4 Q1.Convert to 24hr clock Q2.Round to 1 decimal place 103.525 Q3. How many minutes in 6 hours Q4.Find the time difference between 5.12am and 2.34pm 8.15am10.02pm

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3-May-15Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com 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

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3-May-15Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com 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

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3-May-15Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com 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

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3-May-15Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com 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

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3-May-15Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com S4 Weight & Scales Kilograms grams x 1000 2kg 2 x 1000 2000g 1.5kg 1.5 x 1000 1500g grams Kilograms ÷ 1000 3000g 3000 ÷ 1000 3kg 1500g 1500 ÷ 1000 1.5kg

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

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

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3-May-15Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com 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

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3-May-15Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com 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

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

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

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3-May-15Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com 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

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3-May-15Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com 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

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

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