Week 11 Understand and use scale drawings Functional MATHS Week 11 Understand and use scale drawings

Today’s starter…

Re-cap: What did we do last week?

(Level 2: plus volumes and circles) What did we do last week? Perimeter and area (Level 2: plus volumes and circles) Use metric units in everyday situations Work out areas and perimeters in practical situations Find perimeter, area and volume of common shapes, including area and circumference of circles

Metric Conversion Quiz Write all your answers in words.

There are 1000 of these in a kilogram Question 1 There are 1000 of these in a kilogram

There are 100 of these in a metre. Question 2 There are 100 of these in a metre.

How many millilitres are there in a litre? Question 3 How many millilitres are there in a litre?

There are 1000 of these in a Tonne. Question 4 There are 1000 of these in a Tonne.

There are 10 of these in a centimetre. Question 5 There are 10 of these in a centimetre.

Question 6 There are 1000 metres in a ……..?

How many millilitres are there in 1 centilitre? Question 7 How many millilitres are there in 1 centilitre?

There are 1000 of these in a litre Question 8 There are 1000 of these in a litre

There are 1000 of these in a metre. Question 9 There are 1000 of these in a metre.

How many centilitres are there in a litre? Question 10 How many centilitres are there in a litre?

What is the perimeter of this shape? Question 11 What is the perimeter of this shape?

What is the area of this shape? Question 12 What is the area of this shape?

Answers

There are 1000 of these in a kilogram Question 1 There are 1000 of these in a kilogram Grams

There are 100 of these in a metre. Question 2 There are 100 of these in a metre. Centimetres

How many millilitres are there in a litre? Question 3 How many millilitres are there in a litre? One thousand

There are 1000 of these in a Tonne. Question 4 There are 1000 of these in a Tonne. Kilograms

There are 10 of these in a centimetre. Question 5 There are 10 of these in a centimetre. Millimetre

Question 6 There are 1000 metres in a ……..? Kilometre

How many millilitres are there in 1 centilitre? Question 7 How many millilitres are there in 1 centilitre? Ten

There are 1000 of these in a litre Question 8 There are 1000 of these in a litre Millilitres

There are 1000 of these in a metre. Question 9 There are 1000 of these in a metre. Millimetres

How many centilitres are there in a litre? Question 10 How many centilitres are there in a litre? One hundred

What is the perimeter of this shape? Question 11 What is the perimeter of this shape? 28cm 26cm

What is the area of this shape? Question 12 What is the area of this shape? 48cm2 32cm2

Put your name on it please before handing in! Directed Study

What are we going to do today? Scale Drawings Use scale to draw a diagram Draw an accurate scale plan using a given scale expressed as a ratio Interpret real life measurements from a scale diagram Solve problems involving scale (Ratio and Proportion part 2)

Proportion If I travel at 45mph how many miles would I travel in 2 hours? What about 3 hours? What about 9 hours? Hours 1 2 9 Miles 45

Name 5 things you might use a scale drawing or model for Where could scale be used? eg 1:50

Architects make models of buildings Architects make models of buildings. Models are 3-D representations of objects.

People use maps to find their way People use maps to find their way. Maps are flat 2-D representations of a plan view of an area.

Every qualified tradesperson will come across, and have to use, scale drawings as a normal part of their job. Drawings are one of the most important methods of communicating technical information to the building team.

• the finished job being the wrong size • the job having to be done again • materials being under- or over-ordered • or even work stopping until the mistake has been sorted out. This will mean wasting time and money.

Estimate the height, in metres, to the top of the tree Estimations Estimate the height, in metres, to the top of the tree

Estimate the height, in metres, to the top of the tree The average man is between 1.6 m and 1.8 m tall 1 metre Approximately 11m Estimate the height, in metres, to the top of the tree

Estimate the heights of the buildings shown

Estimate the heights of the buildings shown 6.5 x 1.7 = 11.05 m 5 x 1.7 = 8.5 m 3.5 x 1.7 = 5.95 m 1.7 m

Estimate the length of the whale shown

Estimate the length of the whale shown The average whale is about 30m in length 30 m

Scale Drawing Scale drawing allows us to draw large objects on a smaller scale or a smaller object on a larger scale, keeping them accurate. All scale drawings must have a scale written on them. Scales are usually expressed as ratios. Example: 1cm : 100cm The ratio 1cm:100cm means that for every 1cm on the scale drawing the length will be 100cm in real life

Scale As a scale we would write this as 1:20 If 1cm on the map is 20cm in real life what would 3cm be in real life? What about 7cm in real life? What would 500cm in real be on a map? Map 1 3 7 500 Actual 20 As a scale we would write this as 1:20

Scale examples Scales can be written in many different ways

Scale drawing Scales are simple ratios i.e. how many of these represent that. E.g. 1 cm : 5 m So 1 cm on the drawing represents 5 metres on the ground. A scale of 1:100 where no measurements are given can be used for any measurement so 1 of 1 measurement is 100 times bigger.

N Distance to Town 40 cm Real Distance : 80 km Scale 1 cm : 2 km Distance from Town to Shops 10 cm Airport Local Town Real Distance : 20 km Hospital Shops Distance from shops to Hospital 4.2 cm Real Distance : 8.4 km

N Distance to Town 40 cm Real Distance : 1000 m Scale 2 cm : 50 m Distance from Town to Shops 10 cm Airport Local Town Real Distance : 250 m Hospital Shops Distance from shops to Hospital 4.2 cm Real Distance : 105 m

N Distance to Town 40 cm Real Distance : 120 km Scale 1 cm :3 km Distance from Town to Shops 10 cm Airport Local Town Real Distance : 30 km Hospital Shops Distance from shops to Hospital 4.2 cm Real Distance : 12.6 km

Scale Drawings Here is a garden Scale 1 : 200 4.5 m = 3 m = ___cm greenhouse shed 4.5 m = ___cm 3 m = ___cm 14 m = ___cm 12 m = ___cm patio 18 m = ___cm Calculate the scale diagram measurements

Scale Drawings ANSWERS Here is a plan of a garden Scale 1 : 200 greenhouse shed 1.5 cm 2.25 cm 7 cm 6 cm patio 9 cm Calculate the scale diagram measurements

Find the actual height of the Eiffel Tower from the scale model. Scale: 1cm = 10m The model has a height of 30 cm. This is 30 times bigger that the 1 cm on the scale so multiply 1 x 30 = 30cm. Do the same to the other side of the scale so 10m x 30 = 300m. 30cm Scale model Actual size

Find the actual height of the Empire State Building Scale: 1 cm : 5m 76cm

Find the height of the Statue of Liberty Scale 1 cm = 3m 30cm Height of the statue of liberty = 90m

Find the height of the scale model of Big Ben Scale: 1 cm : 3 m 96m This time you know the actual height. This goes under the 3m on the scale. Find out how many lots of 3 go into 96 so divide. 96 ÷ 3 = 32 cm

Find the height of the scale model of Ben Nevis Scale 1 cm : 50 m 1350m

Design a room activity Different for different levels Complete the activity and design/draw your room

Scale Drawing Quiz 1 of 12 AQA Education (AQA) is a registered charity (number 1073334) and a company limited by guarantee registered in England and Wales (number 3644723). Our registered address is AQA, Devas Street, Manchester M15 6EX.

A B C D What is the actual height of a wall that measures Question 1 What is the actual height of a wall that measures 6cm on the scale drawing with a scale of 1:50? A 600 cm B 120 cm C 14 cm D 300 cm 2 of 12 AQA Education (AQA) is a registered charity (number 1073334) and a company limited by guarantee registered in England and Wales (number 3644723). Our registered address is AQA, Devas Street, Manchester M15 6EX.

Question 2 What does 5 cm on a map with scale 1:200 represent in actual distance? A 1000 cm B 2500 cm C 150 cm D 1500 cm 3 of 12 AQA Education (AQA) is a registered charity (number 1073334) and a company limited by guarantee registered in England and Wales (number 3644723). Our registered address is AQA, Devas Street, Manchester M15 6EX.

Question 3 A house plan is drawn to a scale of 1:100. The lounge on the drawing is 9 cm long. What is the length of the lounge in metres? A 90 cm B 45 m C 9 m D 30 m 4 of 12 AQA Education (AQA) is a registered charity (number 1073334) and a company limited by guarantee registered in England and Wales (number 3644723). Our registered address is AQA, Devas Street, Manchester M15 6EX.

Question 4 A house plan is drawn to a scale of 1:50. The lounge on the drawing is 15 cm long. What is the length of the lounge in metres? A 50 m B 7.5 m C 5 m D 65 m 5 of 12 AQA Education (AQA) is a registered charity (number 1073334) and a company limited by guarantee registered in England and Wales (number 3644723). Our registered address is AQA, Devas Street, Manchester M15 6EX.

Question 5 A model is to be made of the new college which is 1125 m in length. The suggested scale is 1:750. How long will the model be? A 9 cm B 1.5 m C 2 m D 3.5 m 6 of 12 AQA Education (AQA) is a registered charity (number 1073334) and a company limited by guarantee registered in England and Wales (number 3644723). Our registered address is AQA, Devas Street, Manchester M15 6EX.

Scale Drawing Quiz 7 of 12 AQA Education (AQA) is a registered charity (number 1073334) and a company limited by guarantee registered in England and Wales (number 3644723). Our registered address is AQA, Devas Street, Manchester M15 6EX.

A B C D What is the actual height of a wall that measures Question 1 What is the actual height of a wall that measures 6cm on the scale drawing with a scale of 1:50? A 600 cm B 120 cm C 14 cm D 300 cm 8 of 12 AQA Education (AQA) is a registered charity (number 1073334) and a company limited by guarantee registered in England and Wales (number 3644723). Our registered address is AQA, Devas Street, Manchester M15 6EX.

Question 2 What does 5 cm on a map with scale 1:200 represent in actual distance? A 1000 cm B 2500 cm C 150 cm D 1500 cm 9 of 12 AQA Education (AQA) is a registered charity (number 1073334) and a company limited by guarantee registered in England and Wales (number 3644723). Our registered address is AQA, Devas Street, Manchester M15 6EX.

Question 3 A house plan is drawn to a scale of 1:100. The lounge on the drawing is 9 cm long. What is the length of the lounge in metres? A 90 cm B 45 m C 9 m D 30 m 10 of 12 AQA Education (AQA) is a registered charity (number 1073334) and a company limited by guarantee registered in England and Wales (number 3644723). Our registered address is AQA, Devas Street, Manchester M15 6EX.

Question 4 A house plan is drawn to a scale of 1:50. The lounge on the drawing is 15cm long. What is the length of the lounge in metres? A 50 m B 7.5 m C 5 m D 65 m 11 of 12 AQA Education (AQA) is a registered charity (number 1073334) and a company limited by guarantee registered in England and Wales (number 3644723). Our registered address is AQA, Devas Street, Manchester M15 6EX.

Question 5 A model is to be made of the new college which is 1125 m in length. The suggested scale is 1:750. How long will the model be? A 9 cm B 1.5 m C 2 m D 3.5 m 12 of 12 Copyright © 2015 AQA and its licensors. All rights reserved. AQA Education (AQA) is a registered charity (number 1073334) and a company limited by guarantee registered in England and Wales (number 3644723). Our registered address is AQA, Devas Street, Manchester M15 6EX.

Directed study Scale drawing questions