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Detailed Notes Year 2

Mathematics classroom notes

Year 2 - Australian coins and notes

Strand / topic: Number and Algebra / Australian coins and notes

Based on Pi Leo Academy's Victorian Curriculum F-10 Mathematics year-level guide and aligned to NAPLAN-style mathematical reasoning. Official curriculum code: Not stated in the provided curriculum source.

Learning goal

By the end of this note, students should be able to explain australian coins and notes, use a clear method, solve simple and test-style questions, and check their answers for Year 2 Number and Algebra work.

Why it matters

It helps with shopping, saving, budgeting and checking change in Australian dollars and cents. This topic builds the reasoning, fluency and confidence students need for future NAPLAN-style questions and everyday mathematics.

1 What this means

Money questions use dollars and cents, often with totals, change, discounts or simple financial decisions. Students should use objects, drawings, counters, blocks or real-life examples before writing number sentences.

Money problems are really place-value problems with dollars and cents. In Year 2, students should connect the words in the question to a model such as a diagram, table, number line, grid, formula or equation. They then work in small steps and check whether the answer matches the question, the units and the size of the numbers.

  • Use Australian dollars and cents, with 100 cents making $1.
  • Write money with two decimal places when using dollar notation.
  • For change, subtract the cost from the amount paid.
  • Check that the change is less than the amount paid.

2 Important rules / ideas

Australian notation

Use $ for dollars and c for cents; $1 = 100c.

Two decimal places

Write $4.50, not $4.5, in formal money answers.

Change

Change = amount paid - cost.

Important vocabulary

dollars

Whole Australian money units.

cents

100 cents make 1 dollar.

total

The amount altogether.

change

Money returned after paying more than the cost.

3 Step-by-step method

  1. List each cost in dollars and cents.
  2. Add costs or subtract from the amount paid.
  3. Write money with two decimal places.
  4. Check that change is less than the amount paid.
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4 Worked examples

Easy

Add $3.40 and $2.25.

  1. Add dollars and cents carefully.
  2. $3.40 + $2.25 = $5.65.
Medium

You pay $10 for an item costing $6.75. Find the change.

  1. Change = $10.00 - $6.75.
  2. Subtract to get $3.25.
  3. The change is $3.25.
Harder

Three notebooks cost $4.50 each. Find the total.

  1. Multiply $4.50 by 3.
  2. $4 x 3 = $12 and 50c x 3 = $1.50.
  3. Total = $13.50.
Word problem

A bus fare is $2.80 each way. How much for a return trip?

  1. A return trip has two fares.
  2. $2.80 x 2 = $5.60.
  3. The return trip costs $5.60.

5 More examples

Cents to dollars

Write 375c in dollars.

100c = $1, so 375c = $3.75.

Change

Pay $20 for a $13.80 item.

$20.00 - $13.80 = $6.20 change.

NAPLAN-style thinking

In NAPLAN-style questions, australian coins and notes may appear as a short calculation, a word problem, a diagram, a table or a multi-step reasoning question. Students should slow down and decide what the question is really asking before calculating.

Multiple choice

Estimate first and eliminate answers that are too small, too large or use the wrong unit.

Short answer

Write only the answer required, but use working on paper to avoid mental slips.

Word problem

Circle the numbers, underline the action words and decide whether all numbers are needed.

Multi-step

Do one step at a time and label intermediate answers so the final step is clear.

6 Common mistakes

Dropping cents

Write money with two decimal places.

Adding dollars and cents separately without trading

Remember 100 cents is $1.

Finding cost instead of change

Subtract the cost from the amount paid.

Common NAPLAN-style traps
  • Choosing the first operation seen in the wording.
  • Forgetting units, labels or place value.
  • Stopping after the first step when the question asks for a final comparison.

7 Tips to remember

Two decimals

Use $7.90, not $7.9, for formal money writing.

Count up

Change can be checked by counting from the cost to the amount paid.

AUD context

Use Australian coins and notes when making examples at home.

Parent teaching tips

  • Ask your child to explain the method aloud before writing the answer.
  • Use a real-life context at home, such as shopping, cooking, sport scores, maps or timetables.
  • Praise clear working and checking, not only speed.
  • Use counters, blocks, drawings and everyday objects before moving to written symbols.

Remember

Use two decimal places for dollars and cents.

8 Quick practice

  1. Add $3.40 and $2.25.
  2. You pay $10 for an item costing $6.75. Find the change.
  3. Three notebooks cost $4.50 each. Find the total.
  4. A bus fare is $2.80 each way. How much for a return trip?

9 Answers / explanation

Question 1

Answer: $3.40 + $2.25 = $5.65.

Add dollars and cents carefully. $3.40 + $2.25 = $5.65.

Question 2

Answer: The change is $3.25.

Change = $10.00 - $6.75. Subtract to get $3.25. The change is $3.25.

Question 3

Answer: Total = $13.50.

Multiply $4.50 by 3. $4 x 3 = $12 and 50c x 3 = $1.50. Total = $13.50.

Question 4

Answer: The return trip costs $5.60.

A return trip has two fares. $2.80 x 2 = $5.60. The return trip costs $5.60.

Extension challenge

Create your own multi-step question for this topic using an Australian context, then solve it and explain each step.

Hint: Use shopping, sport, maps, timetables, weather, school events or measurement at home.

Answer guide

Answers will vary. A strong answer includes clear working, correct units and a final sentence.

Quick revision

  • Know what australian coins and notes is asking you to find.
  • Choose a diagram, table, formula, number line or equation before calculating.
  • Show enough working that you can find and fix mistakes.
  • Check the final answer, units and reasonableness.

Pi Leo Academy is an independent educational resource and is not affiliated with or endorsed by VCAA, ACARA, NAPLAN, the Victorian Department of Education, ACER or any selective school.

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