Volume www mathsrevision com S 4 Counting Volume

Volume www. mathsrevision. com S 4 Counting Volume cubes Volume of a cuboid Liquid Volume Scales Weight and Scales Using Weights 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com S 4 Thursday, October 28, 2021 28 -Oct-21 Created by Mr. Lafferty Compiled by Mr. Lafferty Maths Dept. @www. mathsrevision. com 2

Volumes by Counting Cubes www. mathsrevision. com S 4 Learning Intention 1. To understand the term volume in terms of counting cubes. Success Criteria 1. To know what volume means. 2. Work out volumes using 3 1 cm cubes. 3. Answer to contain appropriate units. 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Volume & Weight S 4 www. mathsrevision. com Volume is the amount of space a 3 D - shape takes up Grain of salt 1 mm 2 28 -Oct-21 A dice 1 cm 2 Compiled by Mr. Lafferty Maths Dept. 4 Wheelie bins 1 m 2

Volume & Weight S 4 www. mathsrevision. com Weight is measured in grams, Kilograms and Tonnes A cubic centimetre of water weights exactly 1 g A litre of water weights exactly 1 kg A cubic metre of water weighs exactly 1 Tonne 1 g 28 -Oct-21 1 kg Compiled by Mr. Lafferty Maths Dept. 1 Tonne

Volume & Weight S 4 www. mathsrevision. com What unit of volume should you use to measure (a) Packet of cereal cm 3 (b) A diamond mm 3 (c) A warehouse m 3 (d) A raindrop mm 3 (e) The water in a swimming pool m 3 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Volume & Weight S 4 www. mathsrevision. com What unit of weight should you use to measure (a) A person kg (b) A yacht Tonnes (c) A cup of water g (d) A load of timber Tonnes (e) A feather g 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Volumes by Counting Cubes S 4 m 1 cm 1 c www. mathsrevision. com Volume is the amount of space a 3 D - shape takes up One Unit of Volume is the “CUBIC CENTIMETRE” = 1 centimetre cube = 1 cm³ 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Volumes by Counting Cubes This shape is made up of 1 centimetre cubes placed next to each other. What is its volume in cm³ m 1 cm 1 c www. mathsrevision. com S 4 1 cm = 3 centimetre cubes = 3 cm³ 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Volumes by Counting Cubes S 4 www. mathsrevision. com What is its volume in cm³ of these shapes. 5 cm 28 -Oct-21 3 6 cm 3 Compiled by Mr. Lafferty Maths Dept. 3

Volumes by Counting Cubes S 4 m 3 cm 4 cm 2 c www. mathsrevision. com One unit of Volume is the “CUBIC CENTIMETRE” Volume = 24 centimetre cube = 24 cm³ 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Volumes by Counting Cubes www. mathsrevision. com S 4 Now try Ex 2. 1 Ch 4 (page 57) 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com S 4 Thursday, October 28, 2021 28 -Oct-21 Created by Mr. Lafferty Compiled by Mr. Lafferty Maths Dept. @www. mathsrevision. com 13

Volume of a cuboid www. mathsrevision. com S 4 Learning Intention 1. To understand how to calculate the volume of cuboid. Success Criteria 1. To know the formula. 2. Use formula correctly. 3. Show working and appropriate units. 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Volume of a cuboid S 4 18 cubes fit the base. 4 cm 6 cm 3 cm = 1 centimetre cube = 1 cm³ 4 layers of 18 cubes = 4 x 18 = 72 centimetre cubes = 72 cm³ 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

A short cut ! S 4 height 4 cm Area of rectangle 6 cm 3 cm breadth length Volume = 6 x 3 x 4 = 72 cm³ Volume = length x breadth x height 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Example 1 Working Volume = l x b x h 27 cm 5 V = 18 x 5 x 27 V = 2430 cm³ Heilander’s cm Porridge Oats 18 cm 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Example 2 S 4 Working Volume = l x b x h V=2 x 2 x 2 V = 8 cm³ 2 cm 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Volume of a cuboid www. mathsrevision. com S 4 Now try Ex 3. 1 & 3. 2 Ch 4 (page 58) 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com S 4 Thursday, October 28, 2021 28 -Oct-21 Created by Mr. Lafferty Compiled by Mr. Lafferty Maths Dept. @www. mathsrevision. com 20

Liquid Volume www. mathsrevision. com S 4 Learning Intention 1. To understand the term liquid volume using millilitres and litres. Success Criteria 1. To know the term liquid volume. 2. Work out volumes using ml and litres. 3. Answer to contain appropriate units. 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Liquid Volume www. mathsrevision. com S 4 A cube with volume 1 cm³ 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? 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Liquid Volume S 4 www. mathsrevision. com How much liquid in the jug ? Litres Count the number of small divisions 2 1 litre 5 = 1000 ml Each division is worth 1 1 litre ÷ 5 = 1000 ml ÷ 5 = 200 ml 0 200 ml x 4 = 800 ml 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Liquid Volume S 4 www. mathsrevision. com How much liquid in the jug ? Litres 2 1 Count the number of small divisions 1 litre 5 = 1000 ml Each division is worth 1 litre ÷ 5 = 1000 ml ÷ 5 = 200 ml x 7 = 1400 ml or 1. 4 litres 0 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Liquid Volume S 4 www. mathsrevision. com How much liquid in the jug ? ( Careful different scale) Litres 2 1 0 Count the number of small divisions 1 litre 4 = 1000 ml Each division is worth 1 litre ÷ 4 = 1000 ml ÷ 4 = 250 ml x 7 = 1750 ml or 1. 75 litres 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Liquid Volume www. mathsrevision. com S 4 Now try Ex 4. 1 Ch 4 (page 61) 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com S 4 Q 1. Convert to 24 hr clock Q 2. Round to 1 decimal place 103. 525 Q 3. How many minutes in 6 hours Q 4. Find the time difference between 5. 12 am and 2. 34 pm 28 -Oct-21 8. 15 am Compiled by Mr. Lafferty Maths Dept. 10. 02 pm

Weight & Scales www. mathsrevision. com S 4 Learning Intention 1. To explain how to read scales for weighs and how to convert from grams to kilograms and vice versa. 28 -Oct-21 Success Criteria 1. To be able to read scales. 2. Be able to convert from grams to kilograms and vice versa. Compiled by Mr. Lafferty Maths Dept.

Weight & Scales www. mathsrevision. com S 4 Calculate the weight each arrow is pointing at? 120 g 0 100 g Count the number of small divisions 5 200 g 300 g 500 g 400 g Each division is worth 280 g 540 g 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept. 100 ÷ 5 = 20 g

Weight & Scales www. mathsrevision. com S 4 Calculate the weight each arrow is pointing at? 80 g 0 200 g Count the number of small divisions 5 400 g Each division is worth 600 g 1 kg 800 g 200 ÷ 5 = 40 g 720 g 1 kg 20 g 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Weight & Scales www. mathsrevision. com S 4 Calculate the weight each arrow is pointing at? 80 g 0 200 g Count the number of small divisions 5 400 g Each division is worth 600 g 1 kg 800 g 200 ÷ 5 = 40 g 720 g 1 kg 20 g 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Weight & Scales www. mathsrevision. com S 4 Kilograms 2 kg 1. 5 kg grams 28 -Oct-21 3000 g 1500 g x 1000 2 x 1000 1. 5 x 1000 ÷ 1000 3000 ÷ 1000 1500 ÷ 1000 Compiled by Mr. Lafferty Maths Dept. grams 2000 g 1500 g Kilograms 3 kg 1. 5 kg

Weight & Scales www. mathsrevision. com S 4 Now try Ex 5. 1 & 6. 1 Ch 4 (page 63) 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com Level E 40 o 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Weight & Scales www. mathsrevision. com S 4 Learning Intention 1. To solve problems involving weight and proportion. Success Criteria 1. To be able to convert between grams and kilograms. 2. Use proportion to solve weight problems. 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Weight & Scales S 4 www. mathsrevision. com You need to remember the following. 1000 g = 1 kg 1000 kg = 1 tonne Example : Change 1. 7 kg to grams 1. 7 x 1000 = 1700 g 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Weight & Scales S 4 www. mathsrevision. com You need to remember the following. 1000 g = 1 kg 1000 kg = 1 tonne Example : Change 3200 kg to tonnes 3200 ÷ 1000 = 3. 2 tonnes 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Weight & Scales S 4 www. mathsrevision. com You need to remember the following. 1000 g = 1 kg 1000 kg = 1 tonne Example : Change 4. 5 kg to kg and grams 4 kg 500 g 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.

Using Weight S 4 www. mathsrevision. com 4 packets of crisps weigh 100 g (a) What is the weight of 1 packet. (b) What is the weight of 6 packets. Answer : (a) Answer : (b) 28 -Oct-21 4 pkts 100 g 1 pkt 100 ÷ 4 = 25 g 6 pkts 25 x 6 = Compiled by Mr. Lafferty Maths Dept. 150 g 39

Using Weight S 4 www. mathsrevision. com 6 teacakes weigh 120 g (a) What is the weight of 1 teacake. (b) What is the weight of 10 teacakes. Answer : (a) Answer : (b) 28 -Oct-21 6 pkts 120 g 1 pkt 120 ÷ 6 = 20 g 10 pkts 20 x 10 = 200 g Compiled by Mr. Lafferty Maths Dept. 40

Weight & Scales www. mathsrevision. com S 4 Now try Ex 7. 1 & 7. 2 Ch 4 (page 65) 28 -Oct-21 Compiled by Mr. Lafferty Maths Dept.