# Maths: Number Plane

**Topics:**Real number, Negative and non-negative numbers, Integer

**Pages:**130 (6296 words)

**Published:**October 15, 2013

Directed

Numbers and

the Number Plane

This is the last time

I fly El Cheapo Airlines!

Chapter Contents

8:01 Graphing points on the number line

NS4·2

8:02 Reading a street directory

PAS4·2, PAS4·5

PAS4·2, PAS4·5

8:03 The number plane

Mastery test: The number plane

8:04 Directed numbers

NS4·2

NS4·2

8:05 Adventure in the jungle

Investigation: Directed numbers

8:06 Addition and subtraction of directed

NS4·2

numbers

8:07 Subtracting a negative number

NS4·2

ID Card

Learning Outcomes

8:08 The number plane extended

PAS4·2, PAS4·5

8:09 Multiplication of directed numbers

NS4·2

Investigation: Multiplying directed numbers

Challenge: Using pronumerals

8:10 Division of directed numbers

NS4·2

NS4·2

8:11 Using directed numbers

8:12 Directed numbers and the calculator

NS4·2

Fun Spot: Try this quick quiz!

Maths Terms, Diagnostic Test, Revision

Assignment, Working Mathematically

NS4·2 Compares, orders and calculates with integers.

PAS4·2 Creates, records, analyses and generalises number patterns using words and algebraic symbols in a variety of ways.

PAS4·5 Graphs and interprets linear relationships on the number plane. Working Mathematically Stage 4.

1 Questioning, 2 Applying Strategies, 3 Communicating, 4 Reasoning, 5 Reflecting.

207

8:01 | Graphing Points on the

Outcome NS4·2

Number Line

pr

quiz

ep

Write down the number sentence represented by each number line. 1

2

0

8:01

2

4

6

8

0

10

2

4

6

8

10

...+...=9

. . . + . . . = 10

3

4

0

2

4

6

8

10

5

0

2

4

6

8

10

0

2

4

6

8

10

0

2

4

6

8

10

0

2

4

6

8

10

6

0

2

4

6

8

10

0

2

4

6

8

10

7

8

9

10

0

2

4

6

8

10

The number line can be very useful. It can help us to perform additions, subtractions, multiplications and even divisions. The number line can also be used to graph sets of numbers. To graph a number on the number line, place a large dot at the position of that number on the number line.

worked examples

Graph the following sets of points:

1 {2, 4, 5}

0

1

2

3

4

5

6

2 {0, 1, 2, 3, 4}

0

1

2

3

4

5

6

3 {3, 6, 9}

0

2

4

6

8

10

12

--4 {1 1 , 3, 4 1 }

0

1

2

3

4

5

6

5 {0·2, 0·5, 1·1}

0

0·2

0·4

0·6

0·8

1

1·2

2

208

2

NEW SIGNPOST MATHEMATICS 7

We use braces to list

the numbers in a set.

Exercise 8:01

1

Use braces to show the set of numbers graphed

on each number line.

a 0

1

2

3

4

5

6

7

b 0

1

2

3

4

5

6

7

c

9

A set of numbers

is a collection of numbers.

10 11 12 13 14 15 16

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