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Level 3 – Numeracy capabilities

Student name

Mentor name Delivery site

Start date End date

Money

Maths Work Journal

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These pre-vocational resource materials have been developed by Vocational Training Queensland (VTQ) to support short-term interventions for students requiring accelerated literacy and numeracy skill development. The goal for students who undertake the courses is increased learner confidence,

re-engagement with education and improved academic outcomes

To support successful outcomes for a wide range of students, the resources have been developed at four levels, aligned with the Australian Core Skills Framework (ACSF). Further mapping has been

provided in each work journal to assist facilitators to understand where students are performing in relation to the Australian Curriculum general capabilities in Literacy and Numeracy and, where

relevant, the Australian Curriculum content descriptions in English and Maths.

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

Vocational Training Queensland PO Box 456

ARCHERFIELD QLD 4108 Phone: 32710771 www.vtq.edu.au

Money Level 3

First published: 2019 Author(s): Meredith, Bek

Vocational Training Queensland retains all ownership of these course 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

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mailto:[email protected]

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

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This unit is all about money.

Main Ideas

What do I know about this topic?

Work journal icons:

Writing activity

Coassemble log in

Reading activity

Hands on activity

Quick tip

Talk about it

Money

Calculate the best buy

Solve problems

Add and subtract

Multiply and divide

Round and

estimate SAMPLE

2

Keep track of your learning

We are learning to: Student

Teacher

Sign

Add and subtract with money

Multiply and divide with money

Round and estimate

Solve problems

Calculate the best buy

Use all our skills

Reflect

Coassemble Student

Teacher

Sign

I have completed my Coassemble course

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

• When you are finished your Work Journal, log into coassemble and complete the final quiz.

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Add and subtract with money When you add or subtract money, line up the numbers in columns PERFECTLY! And line up the decimal points PERFECTLY!

Then you can solve it exactly the same way as normal addition and subtraction sums.

What is $24.75 + $4 + 60c?

dollars cents

+ 2 4 7 5

4 0 0

6 0

• Line up the numbers PERFECTLY • Line up the decimal points PERFECTLY • Write in any zeros • There are always 2 numbers after the decimal point • Use $ or c in your answer

Write in any zeros

Line up the decimal points

Use the $ or c sign

9 3 5

1

Answer: $29.35

2

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What is $30 – $7.20?

Write out these problems so that everything lines up perfectly. Then solve them.

Be careful: Some of them are subtraction sums. Don’t get tricked!

1. $23.05 + 69c = $_________

2. $15.40 + 37c + $5.95= $_________

3. $40 – $4.15 = _________

4. $108.40 – $27.46 = _________

dollars cents

- 3 0 0 0

7 2 0

Write in any zeros

Line up the decimal points

Use the $ or c sign Answer: $22.80

2 8 0

1 2 9

2

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Wow! You are so good at that! Ask your teacher to check your work. Choose one sum and read the question and answer out

loud. Explain how you solved it and what you were VERY careful with (hint: lining up the numbers and decimal points!)

Checklist Success criteria (Teacher to complete) Yes No Student can read the amounts of money out loud Student can solve addition sums using vertical method Student can solve subtraction sums using vertical method Teacher signature: _______________________ Date: ___________

Great work! Go back to page 2 and tick ‘Add and subtract with money’

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Multiply and divide with money When you multiply or divide with money, line up the numbers in columns PERFECTLY! And line up the decimal points

PERFECTLY!

Then you can solve it exactly the same way as normal multiplication and division sums.

Jayce earns $12.50 an hour. He works a 6 hour shift. How much money will he earn?

1 2 5 0 6 7 5 0 0

3 friends get takeaway. The bill is $38.40 and they split it equally. How much will each person pay?

• Line up the decimal point in the answer • You always need 2 numbers after the decimal point • Use $ or c in your answer

3 1

Line up the decimal point in the answer

Use the $ or c sign Answer: $75

12 80 38 40 3

Use the $ or c sign Answer: $12.80

Line up the decimal point in the answer

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Write out these problems so that everything lines up perfectly. Then solve them.

1. $7.80 x 6 = $_________

2. $14.25 x 7 = _________

3. $86.75 ÷ 5 = _________

4. $140.40 ÷ 6 = _________

5. $25.55 x 4 = _________

Excellent! Choose one sum and read the question and answer out loud. Explain how you solved it and what you were VERY careful with (hint: lining up the numbers and decimal points!)

Checklist Success criteria (Teacher to complete) Yes No Student can solve multiplication sums using vertical method

Student can solve division sums using written method Teacher signature: _______________________ Date: ___________

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Let’s practice another skill – multiplying and dividing by 10 and 100.

Hun

dred

s

Tens

One

s

Tent

hs

Hun

dred

ths

5 . 6 5

5 6 . 5 H

undr

eds

Tens

One

s

Tent

hs

Hun

dred

ths

5 . 6 5

5 6 5 .

Hun

dred

s

Tens

One

s

Tent

hs

Hun

dred

ths

4 5 . 0 0

4 . 5 0

Hun

dred

s

Tens

One

s

Tent

hs

Hun

dred

ths

4 5 . 0 0

. 4 5

Multiply by 10

Move the digits 1 place to the left

$5.65 x 10 = $56.50

Multiply by 100

Move the digits 2 places to the left

$5.65 x 100 = $565.00

Divide by 10 Divide by 100

Move the digits 1 place to the right

$45.00 ÷ 10 = $4.50

Move the digits 2 place to the right

$45 ÷ 100 = $0.45 or 45c

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Solve these

1. $75.95 x 10= _________

2. $12.50 x 10 = _________

3. $59.86 x 100 = _________

4. $64 x 100 = _________

5. 87.50 ÷ 10 = _________

6. $9.80 ÷ 10 = _________

7. $67 ÷ 100 = _________

8. $5 ÷ 100 = _________

• Move the digits 1 or 2 places? Look at the number of zeros.

o 10 – move them 1 place o 100 – move them 2 places

• Move the digits right or left? o When you multiply make sure your answer is

bigger o When you divide make sure your answer is

smaller

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Amazing work! Ask your teacher to check your work. Explain how you solved the last question. How do you know if the numbers

move one place or two? How do you know if they move left or right?

Checklist Success criteria (Teacher to complete) Yes No Student can multiply by 10 and 100 Student can divide by 10 and 100 Student can explain how to multiply and divide by 10 and 100

Teacher signature: _______________________ Date: ___________

Great work! Go back to page 2 and tick ‘Multiply and divide with money’

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Round and estimate When calculating with money it is a good idea to round the numbers and estimate the answer. Then you can compare your answer with your estimate and check if it makes sense.

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

Rounding to the nearest 10c

$2.88 becomes $2.90

$4.31 becomes $4.30

$6.55 becomes $6.70

Round these to the nearest 10c.

87c ___________ 11c ___________

$1.25 ___________ $1.09 ___________

$3.51 ___________ 55c ___________

To round to the nearest ten cents:

• look at the last column

If it is 5c or more, round up.

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Now, let’s round to the nearest dollar.

Rounding to the nearest $

$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 ___________

Great work! Ask your teacher to check your work. Explain how you round to the nearest 10 cents. Explain how you round to the

nearest dollar.

Checklist Success criteria (Teacher to complete) Yes No Student can round numbers to the nearest 10c Student can round numbers to the nearest whole dollar Teacher signature: _______________________ Date: ___________

To round to the nearest dollar:

• look at the cents columns

If it is 50c or more, round up.

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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.

Round to the nearest 10c

$6.27 + $3.45

Rounded Question Estimated answer Calculator check

Were they close?

6.30 + 3.50 $9.80 $9.72 Yes

Round these to the nearest 10c and estimate the answer.

$3.49 + $2.12


Were they close?

$5.91 - $1.55


Were they close?

$3.75 - $1.39


Were they close?

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Round these to the nearest whole dollar and estimate the answer.

$3.49 + $2.12


Were they close?

$15.91 - $2.50


Were they close?

$5.75 - $2.39


Were they close?

Round the numbers and estimate how much change you will receive.

Rounded Question

Estimated answer

Calculator check

Were they

close?

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Great work! Ask your teacher to check your work. Choose one sum and explain how you rounded, estimated, calculated and

compared you answer.

Checklist Success criteria (Teacher to complete) Yes No Student can round numbers to the nearest 10c Student can round numbers to the nearest whole dollar Student can use rounded numbers to estimate an answer Student can compare estimate and answer Teacher signature: _______________________ Date: ___________

Great work! Go back to page 2 and tick ‘Round and estimate’

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Solve problems Use all of your amazing skills to solve these problems. Show all of your working out.

Look at this menu.

Family Pack Value pack Party pack 5 pieces 8 pieces 10 pieces $18.50 $22.40 $29.90

You bought 1 piece of chicken, a large chips and a large drink. How much change will you get from $20?

Step 1

Number sentence:

Step 2

Round and estimate change to the nearest dollar:

Step 3

Calculate exact change. Number sentence:

Answer: __________________________

1 piece chicken $3.55 2 pieces chicken $6.95

Small chips $2.80 Large chips $4.79 Small drink $3.19 Large drink $5.35

Dessert $6.59

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You and 3 friends buy the 10 piece pack and 2 large drinks. You share the cost equally. How much will each of you pay? (There are 4 of you)

Step 1

Number sentence:

Step 2

Number sentence:

Answer: __________________________

You have $10 to spend. If you buy 2 pieces of chicken what else could you buy?

Step 1

Number sentence:

Step 2

Number sentence:

Answer (circle one): 1 piece chicken Small chips

Small drink Large chips

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Look at these catalogue items.

You are going to buy these 3 items and put them on layby. If you make 5 weekly payments of equal value, how much will you pay each week?

Step 1

Number sentence:

Step 2

Number sentence:

Answer: __________________________

PS2 $249.50

Minecraft Controller $125

Gaming Headset $99.25

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You see this sign for dance classes.

You pay for 10 classes and the registration fee. How much does it cost?

Step 1

Number sentence:

Step 2

Number sentence:

Answer: __________________________

You pay with $150. Estimate how much change you will receive to the nearest dollar.

Step 1

Rounded number sentence:

Estimated change: __________________________

$12.45 per lesson

$15 joining fee

Join today!

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You are going to the movies. Here is the pricelist.

You want to buy 4 medium popcorns and 5 small drinks to share with your friends. You have $50. Do you have enough? How much change will you get OR how much money will you need to borrow from a mate?

Step 1

Number sentence:

Step 2

Number sentence:

Step 3

Number sentence:

Answer: I do have enough OR I don’t have enough

Answer: I will get ________ change OR I need to borrow __________

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You see this deal advertised by your mobile phone provider.

Will you choose the deal or the standard plan? How much money will you save each day?

Step 1

Number sentence:

Step 2

Compare the two rates:

Answer: I will choose the _____________________. Answer: I will save ____________ every day.

Great work! Ask your teacher to check your work. Choose one problem and explain how you solved it.

Checklist Success criteria (Teacher to complete) Yes No Student can read and interpret multi-step problems Student can solve multi-step problems about money Student can explain how they solved the problem Teacher signature: _______________________ Date: ___________

Great work! Go back to page 2 and tick ‘Solve problems’

DEAL: 100 days of unlimited texts Only $37

Standard plan rate is 41c per day

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Calculate the best buy It is important to calculate which item gives you the best value for money. Everyone loves a bargain!

When items are in a pack, you need to work out how much each item costs. Then you can compare the price of each pack to decide which item is cheaper.

Which chips are better value?

3 packet of chips costs $1.80 so to work out the cost of each bag:

Total price ÷ number of items = price per item $1.80 ÷ 3 = 60c

5 packets of chips costs $3.50 so to work out the cost of each bag:

Total price ÷ number of items = price per item $3.50 ÷ 5 = 70c

60c per packet is cheaper. Answer: 3 packets for $1.80 is better value.

To calculate the price of each item:

Total price ÷ number of items = price per item

3 for $1.80

5 for $3.50

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You can use this strategy for many things. You can use it work out the price per gram, price per litre, price per lesson, price per ticket….anything!

For example

Which bottle of soft drink is better value?

300mL costs $3.80 so to work out the cost of each millilitre:

Total price ÷ number of items = price per item $1.80 ÷ 3 = 0.0126

This is 1.26 cents

$2.50 so to work out the cost of each bag:

Total price ÷ number of items = price per item $2.50 ÷ 180 = 0.0138

This is 1.38 cents

1.26 cents is cheaper. Answer: The 300mL bottle is better value.

180mL 300mL

$2.50 $3.80

To calculate the price of each millilitre:

Total price ÷ number of mL = price per mL

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Salty plums are on sale. There are 3 deals and you want the best bargain!

What is the best buy?

Deal 1

Price per bag:

Deal 2

Number sentence: Number sentence: Price per bag:

Deal 3

Number sentence: Price per bag:

Circle your answer: 1 packet Buy 2 get 1 free Pack of 5 How much will you pay per packet with this deal? _______________

Salty plums 95c each

90c each Buy 2 get 1

FREE!

Pack of 5 $3.75

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You are going to a theme park and want the best value for money. Use a calculator if you

want to. If you use a calculator, write down the number sentences to show what you did.

Which theme park will you go to for the best value?

Wonderworld

Number sentence: Price per visit:

Funland Number sentence: Price per visit:

Waterworld

Number sentence: Price per visit:

Answer: ___________________________ How much will each visit cost with this deal? _____________________

12 visits for $276

8 visits for $192 10 visits for

$225

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You want to buy the best value bag of lollies.

Use a calculator if you want to. If you use a calculator, write down the number sentences to show what you did.

Which bag will you buy?

Snakes Alive

Number sentence: Price per gram:

Chew Mix

Number sentence: Price per gram:

Answer:_____________________________ What is the price per gram? ________________________

Snakes Alive 500g $5.50

Chew Mix 300g $4

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The bakery have the following deal.

Which is the best deal?

Deal

Number sentence: Price per cupcake:

Answer: The best deal is _______________________________ How much cheaper is it per cupcake? _____________________

Awesome work! Ask your teacher to check your work. Explain how you solved the theme park problem to your teacher.

Checklist Success criteria (Teacher to complete) Yes No Student can calculate the best buy in a range of situations Student can explain how they calculated the best buy Teacher signature: _______________________ Date: ___________

Great work! Go back to page 2 and tick ‘Calculate the best buy’

Cupcakes 95c each

Buy 4 for $3.20

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Use all our skills You and 3 friends decide to go to Funland theme park for the day.

Answer the following questions.

• Show all of your working out. • Write your answers clearly and use the $ or c sign when you need

to. • You may use a calculator for the questions where

you see the picture of a calculator.

Here are the entry prices for the day.

You are 15 but your 3 friends are 14.

Is it better value to buy the deal or individual tickets?

Step 1

Number sentence:

Answer (circle): Deal Individual tickets How much money will you save? _____________________

DEAL: 4 tickets

$74

TICKETS Student: $19

Child (14 & under):$17

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You go to the café and read the menu. Use a calculator if you want to. If you use a calculator,

write down the number sentences to show what you did.

café

You want to buy a burger, fries and dri nk. You buy them separately but your friend bought the deal. Who got the best deal?

Step 1

Number sentence:

Answer (circle): I got the best deal My friend got the best deal

How much change will you get from $20? Estimate first.

Step 1

Rounded number sentence: Estimate:

Step 2

Number sentence:

Answer: _________________

Deal Burger, fries

and drink $15.50

Burger $7.55

Hot dog $6.80

Fries $4.05

Drink $3.89

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How much change will your friend get from $50? Estimate first.

Step 1

Rounded number sentence: Estimate:

Step 2

Number sentence:

Answer: _________________

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The souvenir shop is having a sale.

The four of you decide to buy a t-shirt each and use the deal to buy caps. What is the total cost of your 4 caps and 4 t-shirts?

Step 1

Number sentence:

Step 2

Number sentence:

Answer:_____________________________

$20.67

Caps Buy 3 Get 1 free

$18.50

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You see this sign in the souvenir shop window.

You are 15 and your friend is 14. You both want to work there. How much more money would you make each week if you were working at Funland?

Step 1

Number sentence:

Step 2

Number sentence:

Step 3

Number sentence:

Answer:_____________________________

Staff wanted Age: 14 $13.49 per hour

Age: 15 $14.29 per hour

Age: 16 $14.89 per hour

Work 8 hours per week Enquire within

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You see this sign as you leave.

Ready to party?! Hire our amazing venue for 100 people

and PARTY all day!!

Only $19.95 per person

$149 booking fee

How much will it cost to hire Funland for 100 people?

Step 1

Number sentence:

Step 2

Number sentence:

Answer:_____________________________

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It’s a deal! You and your 3 friends decide to hire it for a Christmas party and share the cost equally. How much will you each need to pay?

Step 1

Number sentence:

Answer:_____________________________

You want to save for your share for 10 weeks. How much will you have to save each week?

Step 1

Number sentence:

Answer:_____________________________

Awesome work! Ask your teacher to check your work. Choose one problem and explain how you solved it.

Checklist Success criteria (Teacher to complete) Yes No Student can read and interpret multi-step problems Student can solve multi-step problems about money Student can calculate the best buy in a range of situations Student can explain how they solved the problem Teacher signature: _______________________ Date: ___________

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Log into your Coassemble account and complete the course Money Level 3.

Great work! Go back to page 2 and tick ‘Use all our skills’

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Reflect Well done! You made it to the end of the unit.

Answer these questions to reflect on what you have learnt.

I worked to the best of my ability

1. Rate your performance: (circle a number)

1 2 3 4 5

(Could be better) (I did my very best)

2. Activities I enjoyed the most:

_____________________________________________________

_____________________________________________________

3. Activities I struggled with:

_____________________________________________________

_____________________________________________________

4. Comments:

I would like the teacher to know that…

_____________________________________________________

_____________________________________________________

_____________________________________________________

Teacher Signature: ____________________ Date: ________________

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Don’t tag your work journal pages. TAG HERE instead!

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Mapping Chapter ACARA Content descriptor General Capability in Numeracy

Learning continuum Add and subtract

with money

Estimate the change from simple purchases (Level 3)

Multiply and

divide with

money

Identify and justify ‘best value for money’ decisions (Level 5)

Round and

estimate

Use estimation and rounding to check the reasonableness of answers to calculations (ACMNA099)


Solve problems

Solve problems involving purchases and the calculation of change to the nearest five cents with and without digital technologies (ACMNA080)


Calculate the best

buy

Investigate and calculate 'best buys', with and without digital technologies (ACMNA174)

Estimate the change from simple purchases (Level 3) Identify and justify ‘best value for money’ decisions (Level 5)

Use all our skills

Solve problems involving purchases and the calculation of change to the nearest five cents with and without digital technologies (ACMNA080) Investigate and calculate 'best buys', with and without digital technologies (ACMNA174)

Estimate the change from simple purchases (Level 3) Identify and justify ‘best value for money’ decisions (Level 5)

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http://www.scootle.edu.au/ec/search?accContentId=ACMNA099





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