YEAR 9 MATHEMATICS 2012

Expected Learning Outcome

By the end of this lesson I will recognise and know the members of important sets of numbers

DO NOW

• Sit at your allocated seat.

• Put your bags down next to your feet.

• Take out your equipment and math book.

• Draw a title page for whole numbers

• The title page should be neat, colourful and have a border.

NUMBER PATTERNS AND SEQUENCESNumber sequences are numbers arranged according to a certain rule or pattern. For example, 3, 7, 11, 15, 19,…….add 4 starting from three.

MULTIPLES

Multiples of a number is the product of the number and any whole number except zero

PRIME NUMBERS

A prime number is a whole number that can only be divided exactly by itself and 1. It has only 2 factors, 1 and itself

FACTORS

The factors of a number divide the number exactly without

leaving a remainder. The factors of 4 are 1, 2, and 4

COMMON MULTIPLES

A number which is a multiple of two or more numbers is called a common multiple of these numbers.

PRIME FACTORS

Prime factors of a number are factors of the number which are prime numbers.

COMMON FACTORS

A number which is a factor

Of two or more numbers is called a common factor

LOWEST COMMON

MULTIPLE (LCM)

The LCM of 2 or more numbers is the smallest common multiple of the numbers

HIGHEST COMMON FACTOR (HCF)

The HCF of 2 or more numbers is the largest common factor of these numbers

AO: use a range of strategies when operating with whole numbers and know the relative size and place value of these numbers

List all the differences and similarities that you can see between 16 and 61

What do we call the number system we use today?

(Hindu Arabic number system.)

List the ten basic symbols used to represent our number system?

(0,1,2,3,4,5,6,7,8,9)

Write each symbol in words.

(zero, one two, three, four, five, six, seven, eight, nine.)

These ten symbols or figures are called d_ _ _ t _

digits

Our whole number system is based on how many digits?

Whole numbers consist of : 0,1,2,3,4,5,6,7,8,9……………. What do these dots mean to you?

The pattern is continued

Sets of Numbers

What are other main sets of numbers apart from whole numbers?

Symbol Set of Numbers Examples

N Natural Numbers { 1, 2, 3, 4, 5, 6, ……….}

W Whole Numbers { 0, 1 2, 3, 4, 5, 6, ……..}

I Integers { ……-3, -2, -1, 0, 1, 2, 3, ……}

Q Rational Numbers

This set includes all the numbers listed above including fractions like It does

not include numbers that can not be written as fractions.

Q’ Irrational Numbers

The set of numbers that can not be expressed or written as fractions. For example,

R Real Numbers This set consists of all the numbers listed above. This means it is the universal set. It includes every number you can think of.

7

3,3

1,2

1,8

3

What is the difference between Natural Numbers and Whole Numbers?

What is the difference between Whole Numbers and Integers?

Which is the largest number system?

Draw a diagram to illustrate the relative size of the number systems