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Welcome
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Converting – Metric units
Length Weight Capacity 10 mm = 1cm 1000 mg = 1g 100 cl = 1 litre 100 cm = 1m 1000 g = 1 kg 1000 ml = 1 litre 1000 mm = 1m 1000 kg – 1 tonne 1000 cm3 = 1 litre 1000 m = 1 km 1000 litre – 1m3
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When converting between measurements, we multiply and divide in multiples of 10s, 100s or 1000s…
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Convert the following…
2000mm in to m 1200cm in to mm 80000cm to km 457ml to l 4.5l to ml 5.6kg to g 25g to kg 0.75kg to g
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What we are doing this week…
Converting measurements Using ratio Using measurement and ratio to complete scale drawings
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What is ratio? Ratio is a way of comparing amounts of something.
It shows how much bigger one thing is than another.
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How is ratio written? 4 : 1 This ratio has 5 parts altogether as = 5. This will be important a bit later on!
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When writing ratio, they must first be converted to the same unit.
1mm : 5cm (b) £3.50 : 70p 15 mins : hour (d) 2mm : 10mm (e) 5.2 litres : 300cl Copyright © AQA and its licensors. All rights reserved. Version 2.0
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What is scale? Architects make models of buildings. Models are 3-D representations of objects. People use maps so as not to get lost. Maps are flat 2-D representations of a plan view of an area. When we make a scale copy of an object, the original and the copy have the same proportions.
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Some general rules All the “real” measurement’s are multiplied or divided by the scale factor Are you going from scale drawing or from life size? Bigger or smaller X Smaller Model/Plan Bigger Life size ÷
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Ratio and models A model of a dinosaur has a scale of 1:12
This means that for every 1cm of the model the real life size is 12cm The head on the dinosaur model is 8 cm in length. How long is the head of the real dinosaur?
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The model of the dinosaur is 1:12
This means that for every 1 cm of the model the real skeleton measures 12cm 8cm on the model = 8 x 12 in real life. 8 x 12 = 96 The head of the real dinosaur is 96 cms
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Test yourself Below are two measurements of a car. 130cm 4.4m A model is made using a scale of 1:10 What is the length of the model? What is the height of the model?
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Drawing to Scale A worked example CLD 2014
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Next The scenario This task is about planning part of a kitchen. You work for a kitchen design company. A customer wants some new kitchen units along one wall. You have to make a scale drawing for the customer. CLD 2014
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The customer’s kitchen wall is 3.5m wide and 2.75m high.
You will draw a scale diagram where 4 centimetres represents 1 metre. Work out the scaled measurements for the plan. Next CLD 2014
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Draw a scale diagram of the wall
1Metre 14cm:3.5m 11cm:2.75m Next CLD 2014
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Customer’s instructions
I want a space of at least 80cm at one end of the wall for my tall freezer. I want units along the rest of the wall. The base units must have no spaces between them. Each wall unit must be exactly above a base unit. Next CLD 2014
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Converting Measurements
Next Converting Measurements 75cm 50cm 58cm 1000mm = 1m = 100cm 500mm = ½m = 0.5m = 50cm 750mm = 0.75m = 75cm 580mm = 0.58m = 58cm 100cm 50cm 58cm CLD 2014
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How many Squares? Next 1Metre 25cm 50cm 25cm 5cm
25cm = 10 little squares 1 little square = 25 ÷ = 2.5cm 80cm
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Add Freezer and Base Units
Next Add Freezer and Base Units 3.5m 2.75m Using scales from previous slide add freezer and base units on the drawing. Freezer 80cm Gap for the freezer 4 squares = 100cm Base Unit 50cm Base Unit 50cm Base Unit 50cm Base Unit 50cm Base Unit 50cm 1m CLD 2014
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Replay Add Wall Units 3.5m 2.75m Freezer 80cm Base Unit 50cm 1m There should be a gap 50cm high between the base units and wall units. Draw the base units and the wall units on the scale diagram. Wall Unit 50cm Wall Unit 50cm Wall Unit 50cm Wall Unit 50cm Wall Unit 50cm 75cm 50cm CLD 2014
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City and guild samples…
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