UPM9 E17.1 Using bearings

Grade 8

Exercise 17.1

Using bearings, part 1

By Ben Chen

Here are some ​drawings and pictures.

Each one has a different scale.​​​​

​In this unit you will practise making and using scale drawings. You will also look at how scales are used in maps. The skill of working out real-life distances between places shown on a map is very useful. It enables you to estimate the distance to travel and how long it will take you. You will also learn about bearings. These are important in map reading. They give the angle of travel, from one place to another.

Multiple Select

In this unit, you will learn about which two topics?

• Tesselations

• Scale drawings

• Line graphs

• Bearings

Using bearings

A bearing describes the direction of one object from another.

It is an angle measured from north in a clockwise direction.

A bearing can have any value from 000° to 360°. It is always written with three figures.

Using bearings

A bearing describes the direction of one object from another.

It is an angle measured from north in a clockwise direction.

A bearing can have any value from 000° to 360°. It is always written with three figures.

Multiple Choice

A bearing is measured from...

• south in a clockwise direction

• south in a counter-clockwise

• north in a clockwise direction

• north in a counter-clockwise direction

Multiple Choice

A bearing can have a value from...

• 000º to 090º

• 000º to 180º

• 000º to 270º

• 000º to 360º

Fill in the Blanks

A bearing is always written in _ figures.

Worked example

The diagram shows three towns, A, B and C.

a Write down the bearing of B from A.

b Write down the bearing from A to C.

c Write down the bearing of B from C.

Worked example

a Write down the bearing of B from A.​​

Worked example

b Write down the bearing from A to C.

Worked example

c Write down the bearing of B from C.

Exercise 17.1

1 For each diagram, write down the bearing of B from A.

Multiple Choice

The bearing of B from A is ___º.

• 7ª

• 70º

• 070º

• 700º

Fill in the Blanks

The bearing of B from A is

º.

Fill in the Blanks

The bearing of B from A is

º.

Fill in the Blanks

The bearing of B from A is

º.

Exercise 17.1

2 The diagram shows the positions of a shop and a school.

a Write down the bearing of the shop from the school.

b Write down the bearing of the school from the shop.

Fill in the Blanks

The bearing of the shop from the school is

º.

Fill in the Blanks

The bearing of the school from the shop is

º.

Exercise 17.1

3 Ahmad goes for a walk.

The diagram shows the initial position of Ahmad (A), a farm (F), a pond (P), a tree (T) and a waterfall (W).

Write down the bearing that Ahmad follows to walk from one position to another.​

Fill in the Blanks

The bearing that Ahmad follows to walk from A to F is

º.

Fill in the Blanks

The bearing that Ahmad follows to walk from F to P is

º.

Fill in the Blanks

The bearing that Ahmad follows to walk from P to T is

º.

Fill in the Blanks

The bearing that Ahmad follows to walk from T to W is

º.

Fill in the Blanks

The bearing that Ahmad follows to walk from W to A is

º.

Exercise 17.1

4

a For each diagram, write down the bearing of Y from X, and X from Y.

Multiple Choice

The bearing of Y from X is ___º.

• 58º

• 85º

• 058º

• 085º

Fill in the Blanks

The bearing of X from Y is

º.

Fill in the Blanks

The bearing of Y from X is

º.

Fill in the Blanks

The bearing of X from Y is

º.

Fill in the Blanks

The bearing of Y from X is

º.

Fill in the Blanks

The bearing of X from Y is

º.

Exercise 17.1

4

b Draw two different diagrams of your own, plotting two points X and Y.

In each diagram, the bearing of Y from X must be less than 180°.

For each of your diagrams write down the bearing of Y from X, and of X from Y.

Draw

Draw two different diagrams of your own, plotting two points X and Y.

In each diagram, the bearing of Y from X must be less than 180°.

For each of your diagrams write down the bearing of Y from X, and of X from Y.

Open Ended

What do you notice about each pair of answers you have given in parts a and b?

Fill in the Blanks

Complete this rule for two points X and Y, when the bearing of Y from X is less than 180°.

When the bearing of Y from X is m°, the bearing of X from Y is _ _ ___º.

Exercise 17.1

5 This is part of Dakarai's homework.

Exercise 17.1

Dakarai knows that any two north arrows are always parallel so

he uses alternate angles to work out the bearing of A from B.

Multiple Choice

The bearing of B from A is ___º,

• 7º

• 77º

• 077º

• 777º

Multiple Choice

The bearing of A from B is ___º,

• 7º

• 57º

• 057º

• 257º

Fill in the Blanks

The bearing of B from A is

º,

Fill in the Blanks

The bearing of A from B is

º,

Fill in the Blanks

The bearing of B from A is

º,

Fill in the Blanks

The bearing of A from B is

º,

Fill in the Blanks

The bearing of Q from P is

º,

Poll

How do you like learning math in Quizizz?

• I really don't like it

• I kind of don't like it

• I kind of like it

• I really like it

Poll

How do you like learning math in Quizizz compared to Nearpod?

• I like Quizizz a lot less than Nearpod

• I like Quizizz a little less than Nearpod

• I like Quizizz a little more than Nearpod

• I like Quizizz a lot more than Nearpod

Open Ended

What did you like, and not like, about this lesson?