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Unformatted text preview: S4 Volume
Counting Volume cubes www.mathsrevision.com Volume of a cuboid Liquid Volume Scales Weight and Scales Using Weights
13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Starter Questions
S4 1. Find 20% of 650 www.mathsrevision.com 2. Round to 1 decimal place (a) 172.66 (b) 2.78 3. I got paid 364 for 7 days work. What is my daily rate of pay. 1 4. of 210 7
Monday, February 13, 2012 13 Feb 2012 Created by Mr. Lafferty @www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept. 2 Volumes by Counting Cubes
S4
Learning Intention Success Criteria 1. To know what volume means. 2. Work out volumes using 1cm cubes. 3. Answer to contain appropriate units.
3 www.mathsrevision.com 1. To understand the term volume in terms of counting cubes. 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Volume & Weight
S4 Volume is the amount of space a 3D  shape takes up www.mathsrevision.com Grain of salt 1mm2
13 Feb 2012 A dice 1cm2 4 Wheelie bins 1m2 Compiled by Mr. Lafferty Maths Dept. Volume & Weight
S4 Weight is measured in grams, Kilograms and Tonnes www.mathsrevision.com 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
13 Feb 2012 1kg
Compiled by Mr. Lafferty Maths Dept. 1Tonne Volume & Weight
S4 What unit of volume should you use to measure www.mathsrevision.com (a) (b) (c) (d) (e)
13 Feb 2012 Packet of cereal A diamond A warehouse A raindrop The water in a swimming pool
Compiled by Mr. Lafferty Maths Dept. cm3 mm3 m3 mm3 m3 Volume & Weight
S4 What unit of weight should you use to measure www.mathsrevision.com (a) (b) (c) (d) (e)
13 Feb 2012 A person A yacht A cup of water A load of timber A feather
Compiled by Mr. Lafferty Maths Dept. kg Tonnes g Tonnes g S4 Volumes by Counting Cubes
Volume is the amount of space a 3D  shape takes up www.mathsrevision.com 1c m
m 1cm One Unit of Volume is the "CUBIC CENTIMETRE" = 1 centimetre cube
13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. 1c = 1 cm Volumes by Counting Cubes
S4 This shape is made up of 1 centimetre cubes placed next to each other. What is its volume in cm www.mathsrevision.com 1c m
13 Feb 2012 1c m 1c 1cm m = 3 centimetre cubes
Compiled by Mr. Lafferty Maths Dept. = 3 cm Volumes by Counting Cubes
S4 What is its volume in cm of these shapes. www.mathsrevision.com 5 cm 5 cm
13 Feb 2012 3 3 6 cm 3 Compiled by Mr. Lafferty Maths Dept. Volumes by Counting Cubes
S4 One unit of Volume is the "CUBIC CENTIMETRE" www.mathsrevision.com 3cm
cm 2 4cm Volume = 24 centimetre cube = 24 cm
Compiled by Mr. Lafferty Maths Dept. 13 Feb 2012 Volumes by Counting Cubes
S4 www.mathsrevision.com Now try Ex 2.1 Ch4 (page 57) 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Starter Questions
S4 1. Find 25% of 640 www.mathsrevision.com 2. Round to 1 decimal place (a) 163.82 (b) 72.38 3. I got paid 54 for 9 hours work. What is my hourly rate of pay. 1 4. of 450 9
Monday, February 13, 2012 13 Feb 2012 Created by Mr. Lafferty @www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept. 13 Volume of a cuboid
S4
Learning Intention Success Criteria 1. To know the formula. 2. Use formula correctly. 3. Show working and appropriate units. www.mathsrevision.com 1. To understand how to calculate the volume of cuboid. 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Volume of a cuboid
S4 4cm 3cm 18 cubes fit the base.
6cm = 1 centimetre cube = 1 cm 4 layers of 18 cubes = 4 x 18 13 Feb 2012 = 72 centimetre cubes Compiled by Mr. Lafferty Maths Dept. = 72 cm A short cut !
S4 height
Area of rectangle 4cm 3cm length 6cm breadth Volume = 6 x 3 x 4 = 72 cm Volume = length x breadth x height
13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Example 1
Working Volume = l x b x h V = 18 x 5 x 27 V = 2430 cm 27cm
5 c m
Heilander's
Porridge Oats 18 cm 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Example 2
S4 Working Volume = l x b x h V = 2 x 2 x 2 V = 8 cm 2cm 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Volume of a cuboid
S4 www.mathsrevision.com Now try Ex 3.1 & 3.2 Ch4 (page 58) 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Starter Questions
S4 1. Find 5 0 % o f 9 5 2 . f ind t h e t im e d if f e r e nc e b e t we e n 0 8 .3 0 and 16 .3 9 3 . W h at is t h e b e t t e r d e al 3 b ar s o f s o ap f o r 9 9 p o r 4 b ar s o f 1.4 0 4 . Monday, February 13, 2012 13 Feb 2012 www.mathsrevision.com 1 o f 2 4 0 5 Created by Mr. Lafferty @www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept. 20 Liquid Volume
S4
Learning Intention Success Criteria 1. To know the term liquid volume. 2. Work out volumes using ml and litres. 3. Answer to contain appropriate units. www.mathsrevision.com 1. To understand the term liquid volume using millilitres and litres. 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Liquid Volume
S4 www.mathsrevision.com A cube with volume 1cm holds exact 1 millilitre of liquid. A volume of 1000 ml = 1 litre.
Liquids are measured in ml and litres These jugs have different scales. How do we work out how much liquid in a jug?
13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Liquid Volume
S4 How much liquid in the jug ? www.mathsrevision.com
Litres 2 1 0 Count the number of small divisions 1litre = 1000ml 5 Each division is worth 1 litre 5 = 200ml x 4 = 800ml
13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. 1000ml 5 = 200ml Liquid Volume
S4 How much liquid in the jug ? www.mathsrevision.com
Litres 2 1 0 Count the number of small divisions 1litre = 1000ml 5 Each division is worth 1 litre 5 = 1000ml 5 = 200ml x 7 = 1400ml or 1.4 litres
13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. 200ml Liquid Volume
S4 How much liquid in the jug ?
( Careful different scale) www.mathsrevision.com Litres 2 1 0 Count the number of small divisions 1litre = 1000ml 4 Each division is worth 1 litre 4 = 1000ml 4 =
Compiled by Mr. Lafferty Maths Dept. 250ml 13 Feb 2012 250ml x 7 = 1750ml or 1.75 litres Liquid Volume
S4 www.mathsrevision.com Now try Ex 4.1 Ch4 (page 61) 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. S4 Starter Questions
Q1. Convert to 24hr clock 8.15am 10.02pm www.mathsrevision.com Q2. Q3. Q4. Round to 1 decimal place 103.525 How many minutes in 6 hours Find the time difference between 5.12am and 2.34pm 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Weight & Scales
S4
Learning Intention Success Criteria 1. To be able to read scales. 2. Be able to convert from grams to kilograms and vice versa. www.mathsrevision.com 1. To explain how to read scales for weighs and how to convert from grams to kilograms and vice versa. 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Weight & Scales
S4 www.mathsrevision.com Calculate the weight each arrow is pointing at? 120g
0
100g 200g 300g 500g 400g Count the number of small divisions 5 Each division is worth 280g 100 5 = 20g 540g
13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Weight & Scales
S4 www.mathsrevision.com Calculate the weight each arrow is pointing at? 80g
0
200g 400g 600g 1kg 800g Count the number of small divisions 5 Each division is worth 200 5 = 40g 720g
Compiled by Mr. Lafferty Maths Dept. 1kg 20g
13 Feb 2012 Weight & Scales
S4 www.mathsrevision.com Calculate the weight each arrow is pointing at? 80g
0
200g 400g 600g 1kg 800g Count the number of small divisions 5 Each division is worth 200 5 = 40g 720g
Compiled by Mr. Lafferty Maths Dept. 1kg 20g
13 Feb 2012 Weight & Scales
S4 Kilograms www.mathsrevision.com 2kg 1.5kg grams 3000g 1500g x 1000 2 x 1000 1.5 x 1000 grams 2000g 1500g Kilograms 3kg 1.5kg 1000
3000 1000 1500 1000 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Weight & Scales
S4 www.mathsrevision.com Now try Ex 5.1 & 6.1 Ch4 (page 63) 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Level E Starter Questions
1. Find t he missing angle www.mathsrevision.com 2 . 3 c a ns o f j uic e c o s t 2 .4 0 . H o w m uc h f o r 2 c a ns . 3 . 7 8 10 4 . Find 2 num b e r s t h a t a d d t o 2 0 a nd d ivid e t o g ive 1.
13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. 40o Weight & Scales
S4
Learning Intention Success Criteria 1. To be able to convert between grams and kilograms. 2. Use proportion to solve weight problems. www.mathsrevision.com 1. To solve problems involving weight and proportion. 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Weight & Scales
S4 You need to remember the following. www.mathsrevision.com 1000g = 1kg 1000kg = 1 tonne Example : Change 1.7kg to grams 1.7 x 1000 = 13 Feb 2012 1700g Compiled by Mr. Lafferty Maths Dept. Weight & Scales
S4 You need to remember the following. www.mathsrevision.com 1000g = 1kg 1000kg = 1 tonne Example : Change 3200kg to tonnes 3200 1000 = 13 Feb 2012 3.2 tonnes Compiled by Mr. Lafferty Maths Dept. Weight & Scales
S4 You need to remember the following. www.mathsrevision.com 1000g = 1kg 1000kg = 1 tonne Example : Change 4.5kg to kg and grams 4 kg
13 Feb 2012 500g Compiled by Mr. Lafferty Maths Dept. Using Weight
S4 4 packets of crisps weigh 100g www.mathsrevision.com (a) What is the weight of 1 packet. (b) What is the weight of 6 packets. Answer : (a) 4pkts 1 pkt Answer : (b)
13 Feb 2012 100g 100 4 = 25 x 6 = 25g 150g
39 6 pkts Compiled by Mr. Lafferty Maths Dept. Using Weight
S4 6 teacakes weigh 120g www.mathsrevision.com (a) What is the weight of 1 teacake. (b) What is the weight of 10 teacakes. Answer : (a) 6pkts 1 pkt Answer : (b)
13 Feb 2012 120g 120 6 = 20 x 10 = 20g 200g
40 10 pkts Compiled by Mr. Lafferty Maths Dept. Weight & Scales
S4 www.mathsrevision.com Now try Ex 7.1 & 7.2 Ch4 (page 65) 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. ...
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