Number & Money€¦ · Let’s practice counting money. Count how much money is shown and write the answer in the table. $155.15 SAMPLE. 6 Look at the cost of each item and how much

f

22476VIC Certificate I in General Education for Adults (Introductory)

VU22369 Work with simple numbers and money in familiar situations

VU22372 Work with and interpret simple numerical information in familiar text s

Student name Delivery site

Trainer name Mentor name

Start date End date

Number &

Money

SAMPLE

1

These training materials have been developed by Vocational Training Queensland (VTQ) to support

young people with diverse learning needs to engage with education and achieve the Certificate I in

General Education for Adults Introductory (CGEA Cert I Intro).

VTQ has developed vocational education and training materials for the CGEA courses at the

Australian Core Skills Framework (ACSF) levels 1 - 4. Resources are designed to support the

learning needs of all students including those who have experienced interrupted schooling. For

more information regarding the use of these resources, please contact VTQ at [email protected].

Vocational Training Queensland

PO Box 456

Archerfield Q 4108

Phone: 07 3271 0771

www.vtq.edu.au

NUMBER AND MONEY

First Published: 2018

Author: Meredith

Author: Ram

Author: Andrea

TRAINING MATERIAL COPYRIGHT

Vocational Training Queensland (VTQ) retains all ownership of these CGEA course training materials.

Materials include all print and digital resources. Except as permitted by the copyright law applicable

to you, you may not reproduce or communicate any of the content without the permission of the

copyright owner. © 2018 VTQ ALL RIGHTS RESERVED

CGEA ACCREDITED COURSE COPYRIGHT

Copyright of the CGEA Accredited Courses is held by the Department of Education and Training,

Victoria © State of Victoria (Department of Education and Training) 2018. The CGEA Accredited

Courses are licensed under a Creative Commons Attribution-NoDerivs 3.0 Australia license.

Version:2020_v0.1

SAMPLE

mailto:[email protected]

http://www.vtq.edu.au/

2

This unit is all about numbers and money.

We are learning to:

Compare and order numbers

Add, subtract, multiply and divide

Understand fractions, percentages and decimals Solve problems with money

Work journal icons:

Written activity

Quick tip

Reading activity

Hands on activity

Tick when complete

Talk about it

Coassemble log in

Materials you will need:

Work journal Pencil

Eraser

Calculator

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3

Student Information

To complete the units of competency in Number and Money you will need to complete the work journal activities and the three (3) assessment tasks. The units of competency in Number and Money are:

VU22369 Work with simple numbers and money in familiar situations

and

VU22372 Work with and interpret simple numerical information in familiar texts

This work journal has learning activities to help you learn skills for

working with numbers and prepare you for assessment.

After you complete the learning activities, you must complete the

assessments to the required standard. The three (3) assessment tasks

are:

Assessment task 1: Compare and order numbers into the thousands

Assessment task 2: Interpret and use operations, fractions, decimals and percentages

Assessment task 3: Solve problems

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4

Keep track of your learning

We are learning to: Student

Teacher

or

mentor

sign

Date

Identify coins and notes

Read, write, order and compare numbers

Complete Assessment task 1


Use fractions, percentages and decimals


Round and estimate

Solve problems


Let’s keep track of your learning together by using the table below. • Tick each box when you have completed the section. • Get your teacher to check and sign below too. Each section is marked by a Banner Heading

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5

Identify coins and notes

In this unit you will be working with numbers and money into the thousands. Let’s practice counting money. Count how much money is shown and write the answer in the table.

$155.15

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6

Look at the cost of each item and how much money there is in your wallet. Can you buy it?

Item You have: Can you buy it?

$55

Yes / No

$123.50

Yes / No

$276

Yes / No

$118

Yes / No

Great!

Go back to page 4 and tick

‘Identify coins and notes’.

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7

Read, write, order and compare numbers

When we write numbers each digit has a value.

In the number 3175

thousands hundreds tens ones

3thousand 1hundred 7 5

We say: three thousand, one hundred and seventy-five

Your turn:

thousands hundreds tens ones

4thousand 2hundred 6 3

1. Say this number out loud.

2. Write this number in words: ____________________________________

______________________________________________________________

3. For the number 4576, what does the 5 mean?

a) 5 ones b) 5 tens

c) 5 hundreds d) 5 thousands

4. For the number 2078, what does the 2 mean?

a) 2 ones b) 2 tens

c) 2 hundreds d) 2 thousands

and

and

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8

Look at the numbers of spectators at the footy games. Draw a line to

match the number in digits with the number in words.

one thousand, three hundred

and forty-five

three thousand, four hundred

and fifty-five

seven thousand and twenty-

seven

nine thousand, four hundred

and five

three thousand, four hundred

and fifty

seven thousand, one hundred

and twenty-seven

3450

7127

9405

1345

3455

7027

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9

We can represent numbers with base blocks. This can help us to understand place value also.

Ask your teacher for the MAB Blocks. Use them to represent the numbers in the table. Show your teacher. Read these numbers out loud. Which is the biggest number? How do you know? Here are some of the words you will use when saying numbers:

Look at this brochure. Write the cost of each item in words.

Spoiler Grill Rims The spoiler costs ___________________________________________

___________________________________________________ dollars.

The grill costs _____________________________________________

___________________________________________________ dollars.

The rims cost ______________________________________________

___________________________________________________ dollars.

thousand hundred and

Number I can say this I can show this

231

53

1265

4305

$1435 $2544 $1203 SAMPLE

10

Fill in the table. Show each number with MAB blocks or pictures of MAB blocks.

Great work! Ask your teacher to check your work. Read the numbers from the table out loud to your teacher. What

is the smallest number in the table? What is the biggest?

Number T

ho

usan

ds

Hu

nd

red

s

Te

ns

On

es

I can

say

this

Write in

digits Write in words

Show

with MAB

blocks

2319 2 3 1 9 2319 two thousand, three hundred and

nineteen

4528

150

6204

1111

9382

9999

8005

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Roll it!

Ask your teacher for four dice.

Roll the dice.

The 4 numbers I rolled are: ____ ____ ____ ____

1. Use the 4 digits to write a number.

Number in digits Number in words

__________ ___________________________________________

2. Arrange the 4 digits into the biggest number possible.


__________ ___________________________________________

3. Arrange the 4 digits into the smallest number possible.


__________ ___________________________________________

4. Can you arrange the 4 digits into any other number?


__________ __________________________________________

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Compare numbers

Words you will need: ascending, descending, bigger, smaller,

less than, greater than, least, greatest, equal

Match the words to their meaning:

ascending smaller than

descending same as

equal to bigger than

less than getting bigger

greater than getting smaller

Put the distances in ascending order.

______ ______ ______ ______ _______ ______

Bundaberg 371km

Mt Isa 1815km

Longreach 1168km

Mackay 1033km

Rockhampton 689km

Aurukun 2496km

Drive Safely SAMPLE

13

Biggest number wins!

The object of this game is to read and compare numbers into the thousands using knowledge of place value.

How to play

1. Get a deck of cards and remove the picture cards and the tens. 2. Shuffle them and place them face down in a pile. 3. Take it in turns to take a card from the pile and place it under one

of the place value headings on your game sheet. 4. Take turns until all four places in the rows are full. 5. Compare your number with your partner’s number. 6. Whoever has the biggest number wins!

Game sheet: put the cards here to try and make the biggest number.

Thousands Hundreds Tens Ones

Record the result of each game here.

Game Winner Winner’s number

1

2

3

4

5

Overall winner:

Read the winning numbers to your teacher. What strategy did you

use to try and win?

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We can use these signs to compare numbers.

< less than Example: 3 < 5 Say: 3 is less than 5

> greater than Example: 9 > 6 Say: 9 is greater than 6

Here is the trick to remember:

The croc’s mouth always opens to the biggest number.

OR

The "small" end always points to the smaller number.

Insert the correct symbol:

> greater than < less than = equals 1. 246 _____ 264 2. 31 _____ 19

3. 444 _____ 447 4. 5879 _____ 5878

5. 367 _____ 674 6. 24 _____ 24

7. 2342 _____ 2332 8. 1598 _____ 1599

9. 9099 _____ 9090 10. 6081 _____ 6108

Read the number sentences to your teacher. Use the language:

‘is greater than’ ‘is less than’ ‘equal to’

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You are so good at comparing numbers. Now let’s put numbers in

order.

For example:

24 854 7890 26 853

________, ________, ________, ________, ________,

Write the numbers in ascending order (smaller to larger)

5400 540 6500 5600 4999

____________ ____________ ____________ ____________ ___________

7356 7536 6753 7635 7653

____________ ____________ ____________ ____________ ___________

Write these numbers in descending order

1200 2500 1700 2100 1490

____________ ____________ ____________ ____________ ___________

9900 9909 999 99 9009

____________ ____________ ____________ ____________ ___________

(biggest to smallest)

24 26 853 854 7890

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16

Comparing Whole Numbers

Your boss at the bakery asked you to look at the last four weeks’ sales figures. She wants to know which cookie has been the most popular in each week.

Cookie

Sales numbers for February

Week

1

Week

2

Week

3

Week

4

Gingerbread men

2505 1347 2538 1852

Chocolate chip

1809 1889 978 1825

Iced hearts 854 1340 2987 854

Answer the questions.

The most popular cookie in week 1 was __________________________




Which cookie was the least popular in week 2? ____________________

Which was the best week for sales of gingerbread men? ____________

Use the words in the box to complete the sentences

There were _____________ chocolate chip cookies sold in week 1 than

in week 4.

There were _____________ gingerbread men sold in week 3 than in week 1.

The sales of gingerbread men were ________________in week 2.

The numbers of iced hearts sold in week 1 and week 4 were

_________________ .

more less equal largest lowest

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These are Jo’s payslips for the first half of the year.

What month did Jo earn the most? _____________________________

How much did she earn?

___________ ____________________________________________

What month did Jo earn the least? ______________________________

How much did she earn?

___________ ____________________________________________

Jo earnt more / less money in May than she did in June.

Jo earnt more / less money in March than she did in April.

Jo earnt _________________________________ dollars in May.

Place the amounts in descending order (biggest to smallest).

_______ _______ _______ _______ _______ _______

Payslip Jo

January

Gross Pay

$2470

Payslip Jo

March

Gross Pay

$1740

Payslip Jo

February

Gross Pay

$2407

Payslip Jo

April

Gross Pay

$1704

Payslip Jo

May

Gross Pay

$2417

Payslip Jo

June

Gross Pay

$1475

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18

Look at these two cars that are for sale in the newspaper.

Write your answers in words. How much does the Toyota cost?

_________________________________________________________

_________________________________________________________

How much does the Nissan cost?

_________________________________________________________

_________________________________________________________

Which car is more expensive? ________________________________

Which car is cheaper? ______________________________________

How much money will you save if you buy the cheaper car?

_________________________________________________________

_________________________________________________________

Toyota Corolla

Excellent condition

Only $5629

Red Nissan Hatchback Low kilometres, runs well Bargain $5067

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19

Look at these two rates bills.

Write your answers in numbers and words.

How much is bill one for? ____________________ __________________________________________________________

_________________________________________________________________________________________________________________

What is the discount for bill two? ___________________ ____________________________________________________________

_________________________________________________________________________________________________________________

Which bill is more expensive? ________________ How much more expensive is it? ____________________________________

_________________________________________________________________________________________________________________

Bill one (1) Bill two (2)

Numbers: Words:

Numbers: Words:

Numbers:

Words:

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20

Revision

Are you ready to be assessed?

It’s almost time to complete Assessment task 1 – Compare and order

numbers in the thousands.

If you need more practice, log in to your Coassemble account now to do

the activities in the resource ‘Compare and order numbers’.

If you are ready…

Once you feel confident it’s time to log in to Coassemble and begin

completing Assessment task 1 – Compare and order numbers in the

thousands.

Great!

Go back to page 4 and

tick

‘Read, write, order and

compare numbers’.

Talk to your mentor or teacher.

Tell them you are ready for assessment.

Don’t go on until you have finished your assessment!

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21

Assessment task 1

In this assessment task you will need to identify and use money and read and

interpret numbers into the thousands in payslips.

You will demonstrate your knowledge and skills by writing responses and

recording yourself answering questions and following instructions.

Your mentor will observe you completing one of the parts and record a video.

They may ask you to show them how to do something or explain your

response.

What you need to do now:

1. Log in to your Coassemble account to download the assessment

task documents.

2. Complete all parts of the asssessment task.

3. Upload a copy of your completed assessment and the video from

part 3 into your Coassemble account.

Great!


tick

‘Complete Assessment

task 1’.

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Adding is joining two or more numbers together.

The symbol for addition is +

Here are some of the words you will see when doing addition sums.

Here are 4 strategies you can use when adding numbers together.

Write it vertically Line up the numbers perfectly Always start in the ones column

4 1 6 2

+ 2 1 0 5

6 2 6 7

Write it vertically – with regrouping

Line up the numbers perfectly Always start in the ones column

4 9 6 6

+ 2 3 0 7

7 2 7 3

Do it in your head

Sometimes it is easy to work out the answer in your head. You might write notes down while you do it.

Use a calculator

add more plus altogether total

1 1

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Complete the following addition sums. Do not use a calculator.

1 0 7 4 + 2 4 2 4

2 1 5 1 + 3 5 3 6

6 7 6 4 + 3 0 1 2

3 2 4 9

5 3 7

4 1 5 7

4 3 8

3 2 2 6

4 1 6 6

Use whichever strategy you prefer to solve these problems.

2019 AFL Pre-Match Attendance

TEAM ATTENDANCE

Hawthorn Hawks 4503

Collingwood Magpies 7054

Sydney Swans 8675

+ + +

How many people attended the Hawks and Swans games altogether?

At the Magpies game, 230 more people came later. How many people were there?

SAMPLE

24

Subtracting is finding the difference between two numbers

The symbol for subtraction is

Here are some of the words you will see when doing subtraction sums.

subtract take away difference how many

more minus

Here are 4 strategies you can use when subtracting numbers.

Write it vertically Line up the numbers perfectly Always start in the ones column

4 2 6 5

- 2 1 0 3

2 1 6 2

Write it vertically – with regrouping


4 9 6 2

- 2 3 0 7

2 6 5 5

Do it in your head

Sometimes it is easy to work out the answer in your head. You might write notes down while you do it.

Use a calculator

-

1 5

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Complete the following subtraction sums. Do not use a calculator.

9 7 4

3 9 0

4 4 0 7

2 3 1 6

7 9 9 0

3 7 9 1



2 7 6

1 5 3

5 7 8 0

4 3 1 7

5 7 6 6

4 5 3 9

- - -

- - -

Best Burgers

Employee: Malita PAY SLIP September

Gross pay: $1287

Tax: $124

Net pay: $_____

How much money will Malita get after she has paid the tax?

In October Malita’s net pay was $1599. How much more did she earn in October than her net pay in September?

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Multiplication is repeated addition. It is just adding the same number together lots of times. The symbol for multiplication is: x These words mean you need to multiply the numbers together:

times groups of of by product

Two groups of three

2 X 3 = 6

The crate of drinks had 6 rows of bottles. There were 4 bottles in each row. How many bottles can the crate hold?

The plate had 3 rows of cupcakes with 3 cakes in each row. How many cupcakes were on the plate?

1 2 3 1 2 3

Number sentence:

______ x _____ = _______

Answer: ______ bottles

Number sentence:

______ x _____ = _______

Answer: ______ cupcakes

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You can use a grid to help you learn your times tables.

Use the grid to help you answer the following multiplication problems: 2 x 1 = ________ 3 x 5 = ________ 6 x 7 = ________

3 x 2 = ________ 4 x 3 = ________ 5 x 5 = ________

4 x 1 = ________ 7 x 2 = ________ 2 x 2 = ________

5 x 4 = ________ 9 x 4 = ________ 10 x 2 = _______

7 x 3 = ________ 3 x 10 = _______ 3 x 3 = ________

2 x 6 = ________ 6 x 6 = ________ 4 x 7 = ________

5 x 7 = ________ 1 x 6 = ________ 8 x 3 = ________

2 x 8 = ________ 10 x 10 = ______ 3 x 6 = ________

5 x 9 = ________ 2 x 8 = ________ 4 x 4 = ________

7 x 7 = ________ 9 x 9 = ________ 10 x 6 = _______

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https://www.google.com.au/url?sa=i&source=images&cd=&ved=2ahUKEwirzsv3rI7bAhUIgLwKHahiDtQQjRx6BAgBEAU&url=/url?sa%3Di%26source%3Dimages%26cd%3D%26cad%3Drja%26uact%3D8%26ved%3D2ahUKEwirzsv3rI7bAhUIgLwKHahiDtQQjRx6BAgBEAU%26url%3Dhttps://primaryteachertoolbox.co.uk/epages/1fec64d7-4b94-4bea-b920-1e71013dfe98.sf/en_GB/?ObjectPath%3D/Shops/1fec64d7-4b94-4bea-b920-1e71013dfe98/Products/5%26psig%3DAOvVaw1CiBYpocnbrhUsNb02xKzV%26ust%3D1526701603803612&psig=AOvVaw1CiBYpocnbrhUsNb02xKzV&ust=1526701603803612

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Here are 6 strategies you can use when multiplying numbers.

Use a grid

Use a calculator

X 2

Double the number

4 x 2 = double 4 = 8

40 x 2 = double 40 = 80

120 x 2 = double 120 = 240

X 4

Double, then double again

6 x 4 = double 6 = 12

double again = 24

60 x 4 = double 60 = 120

double again = 240

X 10

Move the digits one place to the left

36 x 10 = 360

143 x 10 = 1430

$2.50 x 10 = $25

$3.65 x 10 = $36.50

Vertical Multiplication


2

8 1

3

7 2

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https://www.google.com.au/url?sa=i&source=images&cd=&ved=2ahUKEwirzsv3rI7bAhUIgLwKHahiDtQQjRx6BAgBEAU&url=/url?sa%3Di%26source%3Dimages%26cd%3D%26cad%3Drja%26uact%3D8%26ved%3D2ahUKEwirzsv3rI7bAhUIgLwKHahiDtQQjRx6BAgBEAU%26url%3Dhttps://primaryteachertoolbox.co.uk/epages/1fec64d7-4b94-4bea-b920-1e71013dfe98.sf/en_GB/?ObjectPath%3D/Shops/1fec64d7-4b94-4bea-b920-1e71013dfe98/Products/5%26psig%3DAOvVaw1CiBYpocnbrhUsNb02xKzV%26ust%3D1526701603803612&psig=AOvVaw1CiBYpocnbrhUsNb02xKzV&ust=1526701603803612

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Use whatever strategy you like to solve these.

1. 22 x 4 = _______

2. 30 x 5= _______

3. 51 x 2= _______

4. 35 x 4 = _______

5. 15 x 7= _______

6. 21 x 3= _______

7. 38 x 2= _______

Strategy 1: x 2 is the same as double

Strategy 2: x 4 is the same as double, then double again.

Strategy 3: x 10 move the digits one place to the left.

Show your working out here.

Great job!

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30

Look at the recipe and answer the questions.

How many chocolate chips do you need for 4 cakes?

Number sentence: _________________

Answer: _________________

How many eggs do you need for 10 cakes?


Answer: _________________

How much cocoa do you need for 5 cakes?


Answer: _________________

How much butter do you need for 2 cakes?


Answer: _________________

Write your answer clearly. Is it:

54mL 54 grams 54 eggs ?

Don’t just write a number!

Super Easy Chocolate Cake

6 eggs 50 grams cocoa

250 grams flour 25 chocolate chips

95 grams butter 100 grams sugar

Show your working out here.

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Division is sharing a number equally between groups.

The symbol for division is: ÷ or /

These words mean you need to divide:

shared between divided by quotient

I have 12 balls. I need to share them equally between 4 people.

How much does each person get?

I have 12 balls. 12 ÷ 4 =

12 ÷ 4 = 3

We say: 12 divided by 4 = 3

Hint: This is the opposite of multiplication! 4 x 3 = 12 12 ÷ 4 = 3

Use the diagrams to help solve the division problems.

☺☺☺☺☺

☺☺☺☺☺

☺☺☺☺☺

Circle 4 groups of 3

Write the number sentence

=

Circle 3 groups of 5

Write the number sentence

=

4 3

▲▲▲

▲▲▲

▲▲▲

▲▲▲

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Division is the opposite of multiplication.

=

X =

=

Use the first number sentence to fill in the other two.

5 X 4 = 20 10 X 4 = 40

20 4 = 40 4 =

20 5 = 40 10 =

8 X 2 = 16 1 X 7 = 7

16 2 = 7 7 =

16 8 = 7 1 =

2 X 6 = 12 4 X 9 = 36

12 6 = 36 9 =

12 2 = 36 4 =

3 4 12

12 4 3

12 3 4

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33

When solving division problems it is best to always think of the multiplication sum.

Check your answer by multiplying.

1. 25 ÷ 5 = _____ (Think: 5 x ? = 25)

2. 14 ÷ 2 = _____ (Think: 2 x ? = 14) Dividing by 2 is halving. Half of 14?

3. 15 ÷ 3 = _____ (Think: 3 x ? = 15)

4. 24 ÷ 4 = _____ (Think: 4 x ? = 24) Dividing by 4 is halving and halving again.

5. 60 ÷ 10 = _____ (Think: 10 x ? = 60)

6. 45 ÷ 5 = _____ (Think: 5 x ? = 45)

7. 60 ÷ 1 = _____ (Think: 1 x ? = 60)

8. 45 ÷ 5 = _____ (Think: 5 x ? = 45)

9. 60 ÷ 10 = _____ (Think: 10 x ? = 60)

10. 32 ÷ 4 = _____ (Think: 4 x ? = 32)

There are 36 apples that need to be shared between 4 people. How many apples do they get each?

Number sentence: _______________________________

Answer: ______ _____________

Mike earns $450 per week working as a mechanic from Monday to Friday.

How much does he get paid each day?

Number sentence: _______________________________

Answer: _________

Use page 27 to

help you.

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Look at the brochure and solve the problems. Decide which operation and which strategy you will use.

How much would it cost to buy the ring and the necklace?

You and a friend are going to share the cost of the necklace. How much will you both pay?

The owner offers you a $225 discount on the bangle. What is the new cost?

You buy 4 gems. What is the total cost?

Diamond Ring $4623

Necklace

$2684

Jewels and gems $825 each Gold bangle $3546

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35

Great! Go back to

page 4 and tick

‘Add, subtract,

multiply and divide’.

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36

Use fractions, percentages and decimals

A fraction is a number or an object that has been divided into equal

parts. A fraction shows part of one whole. A fraction has a numerator

and a denominator.

Imagine a pizza is cut into 4 equal slices. You get to eat 3 of the 4 pieces.

3

4 is a common fraction and is read “three-quarters”.

You are going to eat three-quarters of the pizza.

1 2

3 4

Numerator

Denominator

Denominator

How many equal parts there are in the whole.

Numerator

How many equal parts we have.

𝟏

𝟒 one - quarter

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Read these out loud to your teacher. Tick each one when you can read it. Here are some of the words you will use:

Fraction

1

4

1

10

3

4

1

2

1

3

half quarter third tenth

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38

Fill in the table:

Fraction Word Picture

½

¼

one-third

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39

FRACTIONS CHART

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40

Order and compare fractions

It is easy to compare fractions when the numerator (top number) is 1.

1

𝟐

1

𝟑

1

𝟒

1

𝟏𝟎

Notice how when denominator gets bigger in number, it gets smaller in size.

Use your amazing skills and the fraction chart to answer these.

1. 1

4 is bigger than

1

3 True / False

2. 1

8 is bigger than

1

5 True / False

3. 1

6 is bigger than

1

4 True / False

4. Circle the smallest fraction. 1

4

1

3

1

9

1

6

5. Put these fractions in ascending order (smallest to biggest).

1

2

1

3

1

9

1

6

1

4

____________________________________________

6. In a bag of skittles 1

5 of the skittles are red and

1

7 are blue.

Are there more red or blue skittles? ____________________

7. You are sharing a pizza with your friends. You are very hungry!

Do you want 1

2 or

1

3 of the pizza? ____________________

8. Your team won $50 at the bingo.

What is the largest share of the prize? 1

4

1

6

1

3

1

9

is bigger than is bigger than is bigger than

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41

Look at this recipe.

Write your answer in numerals.

How much flour is needed? ___________

How much sugar is needed?___________

How much milk is needed? ___________

How much butter is needed? ___________

What do you need more of: butter or sugar? ___________________

What do you need less of: milk or sugar? ___________________

Place the milk, butter and sugar in order from biggest to smallest.

__________________ __________________ __________________

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42

Fractions can help us solve problems.

To find:

1

2 of a number: divide by 2

1


1


1

5 of a number: divide by ____

1

10 of a number: divide by ____

Your turn!

A jumper costs $80. It is on sale for half price. What is the new cost?

Calculation: ___________________________

Answer: ___________________________

To find the fraction of a number, divide by the

denominator.

A jumper cost $20. It is on sale for half price. What is the new cost?

We want to know: What is ½ of 20?

Calculation: 20 ÷ 2 = 10

Answer: The jumper costs $10

Why do we divide

by 2?

Because it’s the

same as splitting

the number into

two pieces.

SAMPLE

43

Use your brain power to solve these!

1

2 of 160 = =

1

2 of 180 = =

1

10 of 850 = =

1

5 of 250 = =

1

10 of 6250 = =

1

4 of 160 = =

1

3 of 330 = =

1

4 of 200 = =

1. You have saved $2300. Good job! You spent 1

10 on presents.

2. There were 1800 people at the show. 1

4 bought a dagwood dog.

Divide by the denominator.

160 ÷ 2 80

To find a quarter

– halve and

halve again

How much did you spend? ______________

How much do you have left? ______________

How many people bought a dagwood dog? ______________

How many people didn’t buy a dagwood dog? ______________

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You are going to use a 1

4 of each ingredient. Write the new amounts.

(Remember: halve and halve again)

The car costs $4350. You need to pay tax which is one-tenth of the price. How much tax will you pay?

We want to know: what is ________ of __________?

Hint: If you don’t know what one-tenth of the number is you can use a

calculator…just divide by ________!

Write down what you did:

Answer: ____________

There are 2500 students at the school. One-half of them are attending the school disco. How many students will be at the disco?

We want to know: what is 1/2 of 2500?

Hint: If you don’t know what one-half of the number is you can use a

calculator…just divide by ________!

Write down what you did:

Answer: ____________

Fried Rice

100g frozen veg

80ml soy sauce

20mL fish sauce

4 eggs

2 cups rice

Fried Rice

_____g frozen veg

_____ml soy sauce

_____mL fish sauce

_____egg

_____cup rice

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Percentage

A percentage is another way of showing a fraction.

Percent means out of one hundred. The symbol for percentage is %.

1. Write the percentage that is shaded. Use the % sign.

______ ______ ______ ______

2. Colour the percentage shown.

25% 50% 5% 72%

Place the following percentages in descending order (biggest to smallest)

20% 40% 10% 80% 50% 25% 15% 75%

_______, _______, _______, _______, _______, _______, _______, _______.

10% is 10

100 or

1

10

50% is 50

100 or

1

2

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Look at this fashion catalogue.

What is the percentage discount on men’s sunglasses? _________________

What is the biggest percentage discount available? ____________________

Which has a bigger percentage discount, the belts or the scoop neck jumper?

_____________________________________________________________

The men’s belts are half price. What percentage discount is that? _________

The scoop neck jumper has a 25% discount. How do we write that as a

fraction? ____________

Place the percentage discounts in ascending order (smallest to biggest).

_________ __________ __________ __________

SAMPLE

47

Using percentages to solve problems

Percentages can help us solve problems.

When things are on sale at the shops, percentages are used. There may be 50% or 25% off the marked price.

To find: Think of fractions What do I do?

50% of a number 1

2 Divide by 2

25% of a number 1

4

Divide by 4

(half and half again)

Let’s warm up with these. Write m, L or $ with your answer.

Number 50%

(half)

25%

(half and half again)

52m

180L

$2540

To find the percentage of a number, think about

fractions!

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Look at these examples.

This watch costs $3600. Today’s special is a 50% discount.

How much do you save?

Hint: 50% = ½. Find half. OR divide by 2.

Half of 3600 is 1800.

The discount is $1800. What a bargain!

You can use a calculator…just divide by 2!

This ring costs $800. Today’s special is a 25% discount.


Hint: 25% = ¼. Find half and half again. OR divide by 4.

Half is $400 Half again is $200.

The discount is $200. Another bargain!

You can use a calculator…just divide by 4!

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49

Try these. Remember to write your answer in the correct units. For

example, you may need to use $ or L or something else.

The water tank holds 3400 litres of water when it is full. If it is

only 50% full, how much water is in it?


50% is __________. Find __________ . OR divide by ________.

Answer: _____________________________________

This watch is on sale with a 25% discount. It usually costs

$4480. What is the discount in dollars?

______% is ______. Half and ______ again. Or divide by _____

Write down what you do.

Answer: _____________________________________

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Decimals

A decimal is another way of showing a part of a number.

We use decimals all the time with money. There are lots of decimals in this

brochure.

How much do the All-Style headphones cost? ____________________

How much do the Night Mission headphones cost? _____________________

How much do the Sugar DJ headphones cost? _____________________

Place those 3 prices in descending order (biggest to smallest).

___________________ __________________ __________________

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Compare the price of each pair of items and tick the cheapest one.

$19.99 $19.09 $29.99 $39.99

$14.00 $13.99 $24.90 $20.49

$8.09 $8.91 $5.99 $5.50

$120.99 $120.89 $183.50 $183.55

$120.49 $124.90 $30.35 $30.50

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Solving problems with decimals

Look at this example. Notice how all the number s line up perfectly.

Josh buys a shirt for $25.50 and a cap for $16.20 .

How much does he spend altogether?

Number sentence: $25.50 + $16.20

Calculation: 25.50

+ 16.20

$41.70

Josh spends $41.70 on the shirt and the cap.

Try this one.

Kathy buys a car for $5990.00 and buys mag wheels for an extra

$2455.50 . How much does she spend altogether?

Number sentence: ________________________________

Calculation:

Kathy spends ______________________________________

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Revision


It’s almost time to complete Assessment task 2 – Interpret and use

fractions, decimals and percentages.


the activities in the resource ‘Fractions, decimals and percentages’.

If you are ready…


completing Assessment task 2 – Interpret and use operations,

fractions, decimals and percentages.

Great! Go back to

page 4 and tick ‘Use

fractions, percentages

and decimals’.




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Assessment task 2

In this assessment task you will need to interpret and used fractions, decimals

and percentages.

You will demonstrate your knowledge and skills by writing responses and

answering questions that your mentor will scribe.

Your mentor may ask you to show them how to do something or explain your

response.



task documents.


3. Upload a copy of your completed assessment into your

Coassemble account.

Great!


tick


task 2’.

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55

Round and estimate

We can round numbers up or down to make them easier to use.

Digits that are less than 5 are rounded down 4, 3, 2, 1

Digits that are 5 or more are rounded up 5, 6, 7, 8, 9

Round to the nearest 10.

378 - look at the 8 in the ones column. It rounds up.

378 rounds up to 380.

245 – look at the 5 in the ones column. It rounds up.


954 – look at the 4 in the ones column. It rounds down.

954 rounds down to 950.

Round these to the nearest 10.

Look at the ones column and follow the rules.

If the ones column is 5, 6, 7, 8, 9, round _______.

If the ones column is 1, 2, 3, 4, round _________.

17 ___________ 11 ___________

125 ___________ 39 ___________

351 ___________ 455 ___________

274 ___________ 99 ___________

81 ___________ 192 ___________

To round to the nearest 10:

Look at ones column. If it is 5 or more, round up.

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Round to the nearest 100.

378 - look at the 7 in the tens column. It rounds up.


245 – look at the 4 in the tens column. It rounds down.

245 rounds down to 200.

654 – look at the 5 in the tens column. It rounds up.

654 rounds up to 700

Round these to the nearest 100.

Look at the tens column and follow the rules.

If the tens column is 5, 6, 7, 8, 9, round _______.

If the tens column is 1, 2, 3, 4, round _________.

174 ___________ 119 ___________

252 ___________ 394 ___________

514 ___________ 558 ___________

742 ___________ 990 ___________

813 ___________ 923 ___________

To round to the nearest 100:

Look at tens column. If it is 5 or more, round up.

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Look at this map. It shows the distance between towns. Answer the

questions.

About how many kilometres are there between Brisbane and Maryborough?

Round to the nearest:

10:_____________ 100:_____________

About how many kilometres are there between Townsville and Mt Isa?


10:_____________ 100:_____________

About how many kilometres are there between Cairns and Townsville?


10:_____________ 100:_____________

Ipswich

Toowoomba Brisbane

Cairns

Aurukun

Mt Isa

Rockhampton

Maryborough

Mackay

Townsville

257 km

382 km

335 km

388 km

346 km

904 km

829 km

km km

Make sure

you write

km

SAMPLE

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Round these numbers according to the table directions. The first one

has been done for you.

Number

Nearest 10

Nearest 100

Nearest 1 000

3567

3570

3600

4000

2673

4287

1527

2970

Rounding and estimating is very useful when working with money.

$3.88 becomes $4

$4.31 becomes $4

$6.50 becomes $7

Round these to the nearest whole dollar.

$1.15 ___________ $5.05 ___________

$32.06 ___________ $9.95 ___________

$11.50 ___________ $15.49 ___________

To round to the nearest dollar:

look at the cents columns

If it is 50c or more, round up.

SAMPLE

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Estimating

To estimate an answer to a problem:

1. Round the numbers

2. Estimate the answer using the rounded numbers

3. Calculate the real answer

4. Compare your estimate and answer. Was your estimate reasonable?

Was it close to the actual answer?

Complete the table.

Question

Rounded

Number

Sentence

Estimate Calculator

Check

Were they

close?

385 + 53

400 + 50

450

438 Yes

1222 + 3557

4406 – 409

3579 + 1203

3493 – 2061

6109 – 498

1826 + 3599

SAMPLE

60

Great! Go back to

page 4 and tick

‘Round and

estimate’.

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61

Solve problems

Let’s put all of your skills together to solve problems.

When solving problems, follow these steps.

SAMPLE

62

Here is an example of the problem solving process.

Kenny spent $4475 on a car. Then he had to pay $290 for

insurance. How much did he spend altogether?

4 4 7 5

+ 2 9 0

4 7 6 5

Answer: It cost $4765 altogether

My answer is reasonable because it is close to my estimate. It makes sense that

the car and the insurance together would be about that amount.

$4475, $290

4475 + 290 =

4500 + 300 = 4800

SAMPLE

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Use this catalogue to solve the problems on the following pages.

Window tinting

$472.50

Body kit $1210.20

Insurance $1300.40

Nissan

Compact and fun to drive

$5650

GT

Power and performance

$8575

Toyota

Rough and tough

$7360 SAMPLE

64

How much would it cost to buy the GT with window tinting?

Answer: _________________________________________________________

I checked my answer by:

comparing it to my estimation

using a calculator

discussing it with my mentor

SAMPLE

65

You and a friend are going to buy the Toyota and each pay ½.

How much will you each pay?

Answer: ___________________________________________________________



using a calculator


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66

Kev offers you a $482 discount on the Nissan. What is the new

cost?

Answer: ___________________________________________________________



using a calculator


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You buy 4 body kits. How much does it cost?

Answer: _______________________________________________________



using a calculator


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68

Today’s special is 25% off insurance. How much will you

save?

Answer: ____________________________________________________



using a calculator


SAMPLE

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Revision


It’s almost time to complete Assessment task 3 – Solve problems


the activities in the resource ‘Solve problems’.

If you are ready…


completing Assessment task 3 – Solve problems.

Great! Go back to page 4

and tick

‘Solve problems’.




SAMPLE

70

Assessment task 3

In this assessment task you will need to use all of your skills to read and

interpet texts to solve one-step problems.

You will demonstrate your knowledge and skills by writing responses.

Your mentor may ask you to show them how to do something or explain your

response.



task documents.


3. Upload a copy of your completed assessment into your

Coassemble account.

Great!


tick


task 3’.

SAMPLE

71

Don’t tag your work journal pages. Your work journal is important

assessment for your certificate. TAG HERE instead!

SAMPLE

72

SAMPLE

73

SAMPLE

74

SAMPLE

Documents

Number & Money€¦ · Let’s practice counting money. Count how much money is shown and write the answer in the table. $155.15 SAMPLE. 6 Look at the cost of each item and how much