Teaching pack · Year 6 Numberseegongsik /au
Fractions, Decimals and Percentages of a Quantity: a week of ready-to-teach maths
Five days of lessons for Year 6 Number. Print this pack and the week is prepared.
AC9M6N07
solve problems that require finding a familiar fraction, decimal or percentage of a quantity, including percentage discounts, choosing efficient calculation strategies and using digital tools where appropriate
Start here: five minutes to Monday
- Skim the week at a glance.
- Print the five days (plan + worksheet each).
- Cut out the card sheet once.
- Open the free interactive unit on your board.
- Teach from the plan.
On the board
On-screen pictures: “A fraction of a quantity”, “Percentage as hundredths”, “A percentage of a quantity”, “A percentage discount”, “Finding the amount”.
seegongsik.com/au/y6/number/AC9M6N07
Aligned to Australian Curriculum V9 (AC9M6N07). Original material from seegongsik. Descriptors (c) ACARA, CC BY 4.0.
The week at a glance5 lessons
The week at a glance
One lesson a day. Run them in order where you can.
| Day | Lesson | Children learn and do | On screen |
|---|---|---|---|
| 1 | A fraction of a quantity | Practise the idea with talk, board and worksheet | Board: A fraction of a quantity |
| 2 | Percentage as hundredths | Practise the idea with talk, board and worksheet | Board: Percentage as hundredths |
| 3 | A percentage of a quantity | Practise the idea with talk, board and worksheet | Board: A percentage of a quantity |
| 4 | A percentage discount | Practise the idea with talk, board and worksheet | Board: A percentage discount |
| 5 | Finding the amount | Practise the idea with talk, board and worksheet | Board: Finding the amount |
Materials
- This pack printed.
- Pencils and the board or projector.
- Optional counters or rulers if a day plan names them.
A note home
This week in maths we work on fractions, decimals and percentages of a quantity. Ask: What did you practise today?
seegongsik.com/au/y6/number/AC9M6N07/pack
Day 1 · Teacher planDay 1 of 5
A fraction of a quantity
Children practise “A fraction of a quantity” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain a fraction of a quantity in Year 6 words,
- use the board picture to check thinking,
- record an example on paper.
Success criteria
- I can show one example of today’s idea.
- I can say the idea in a short sentence.
You need
- interactive unit open on “A fraction of a quantity”,
- worksheet (next sheet), one per child,
Lesson flow (about 40 minutes)
| 5 min | Warm-up Ask: “What might help us today?” |
| 10 min | On the board Open “A fraction of a quantity”. Ask: “What changed on the screen?” |
| 15 min | Worksheet Children complete the day sheet. |
| 10 min | Share Ask: “In one sentence, what was today’s idea?” |
On the board
Leave “A fraction of a quantity” on screen for the main block.
seegongsik.com/au/y6/number/AC9M6N07
Watch for
- Skipping the board -- bring them back to the picture.
- Correct answer with no explanation -- ask how do you know?
Answers and look-fors
- Meeting the idea sounds like a clear sentence about a fraction of a quantity.
Day 1 · Worksheet
A fraction of a quantity
NameClassDate
Use the board picture. Show your thinking.
1. Draw or write one example from the board.
2. What is the main idea in your words?
3. Make a second example of your own.
I know I am right because
I can teach this idea to a partner:Yes □ No □
Day 2 · Teacher planDay 2 of 5
Percentage as hundredths
Children practise “Percentage as hundredths” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain percentage as hundredths in Year 6 words,
- use the board picture to check thinking,
- record an example on paper.
Success criteria
- I can show one example of today’s idea.
- I can say the idea in a short sentence.
You need
- interactive unit open on “Percentage as hundredths”,
- worksheet (next sheet), one per child,
Lesson flow (about 40 minutes)
| 5 min | Warm-up Ask: “What might help us today?” |
| 10 min | On the board Open “Percentage as hundredths”. Ask: “What changed on the screen?” |
| 15 min | Worksheet Children complete the day sheet. |
| 10 min | Share Ask: “In one sentence, what was today’s idea?” |
On the board
Leave “Percentage as hundredths” on screen for the main block.
seegongsik.com/au/y6/number/AC9M6N07
Watch for
- Skipping the board -- bring them back to the picture.
- Correct answer with no explanation -- ask how do you know?
Answers and look-fors
- Meeting the idea sounds like a clear sentence about percentage as hundredths.
Day 2 · Worksheet
Percentage as hundredths
NameClassDate
Use the board picture. Show your thinking.
1. Draw or write one example from the board.
2. What is the main idea in your words?
3. Make a second example of your own.
I know I am right because
I can teach this idea to a partner:Yes □ No □
Day 3 · Teacher planDay 3 of 5
A percentage of a quantity
Children practise “A percentage of a quantity” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain a percentage of a quantity in Year 6 words,
- use the board picture to check thinking,
- record an example on paper.
Success criteria
- I can show one example of today’s idea.
- I can say the idea in a short sentence.
You need
- interactive unit open on “A percentage of a quantity”,
- worksheet (next sheet), one per child,
Lesson flow (about 40 minutes)
| 5 min | Warm-up Ask: “What might help us today?” |
| 10 min | On the board Open “A percentage of a quantity”. Ask: “What changed on the screen?” |
| 15 min | Worksheet Children complete the day sheet. |
| 10 min | Share Ask: “In one sentence, what was today’s idea?” |
On the board
Leave “A percentage of a quantity” on screen for the main block.
seegongsik.com/au/y6/number/AC9M6N07
Watch for
- Skipping the board -- bring them back to the picture.
- Correct answer with no explanation -- ask how do you know?
Answers and look-fors
- Meeting the idea sounds like a clear sentence about a percentage of a quantity.
Day 3 · Worksheet
A percentage of a quantity
NameClassDate
Use the board picture. Show your thinking.
1. Draw or write one example from the board.
2. What is the main idea in your words?
3. Make a second example of your own.
I know I am right because
I can teach this idea to a partner:Yes □ No □
Day 4 · Teacher planDay 4 of 5
A percentage discount
Children practise “A percentage discount” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain a percentage discount in Year 6 words,
- use the board picture to check thinking,
- record an example on paper.
Success criteria
- I can show one example of today’s idea.
- I can say the idea in a short sentence.
You need
- interactive unit open on “A percentage discount”,
- worksheet (next sheet), one per child,
Lesson flow (about 40 minutes)
| 5 min | Warm-up Ask: “What might help us today?” |
| 10 min | On the board Open “A percentage discount”. Ask: “What changed on the screen?” |
| 15 min | Worksheet Children complete the day sheet. |
| 10 min | Share Ask: “In one sentence, what was today’s idea?” |
On the board
Leave “A percentage discount” on screen for the main block.
seegongsik.com/au/y6/number/AC9M6N07
Watch for
- Skipping the board -- bring them back to the picture.
- Correct answer with no explanation -- ask how do you know?
Answers and look-fors
- Meeting the idea sounds like a clear sentence about a percentage discount.
Day 4 · Worksheet
A percentage discount
NameClassDate
Use the board picture. Show your thinking.
1. Draw or write one example from the board.
2. What is the main idea in your words?
3. Make a second example of your own.
I know I am right because
I can teach this idea to a partner:Yes □ No □
Day 5 · Teacher planDay 5 of 5
Finding the amount
Children practise “Finding the amount” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain finding the amount in Year 6 words,
- use the board picture to check thinking,
- record an example on paper.
Success criteria
- I can show one example of today’s idea.
- I can say the idea in a short sentence.
You need
- interactive unit open on “Finding the amount”,
- worksheet (next sheet), one per child,
Lesson flow (about 40 minutes)
| 5 min | Warm-up Ask: “What might help us today?” |
| 10 min | On the board Open “Finding the amount”. Ask: “What changed on the screen?” |
| 15 min | Worksheet Children complete the day sheet. |
| 10 min | Share Ask: “In one sentence, what was today’s idea?” |
On the board
Leave “Finding the amount” on screen for the main block.
seegongsik.com/au/y6/number/AC9M6N07
Watch for
- Skipping the board -- bring them back to the picture.
- Correct answer with no explanation -- ask how do you know?
Answers and look-fors
- Meeting the idea sounds like a clear sentence about finding the amount.
Day 5 · Worksheet
Finding the amount
NameClassDate
Use the board picture. Show your thinking.
1. Draw or write one example from the board.
2. What is the main idea in your words?
3. Make a second example of your own.
I know I am right because
I can teach this idea to a partner:Yes □ No □
Cut-out cardsReuse all week
Talk cards for Fractions, Decimals and Percentages of a Quantity
Cut out. Hold up a card and give an example.
A fraction of a quantity
Give an example.
Percentage as hundredths
Give an example.
A percentage of a quantity
Give an example.
A percentage discount
Give an example.
Finding the amount
Give an example.
Store in an envelope labelled AC9M6N07.
Mini-check · End of week
Show what you know: Fractions, Decimals and Percentages of a Quantity
NameClassDate
Work on your own. Use pictures or numbers.
1. Draw or write the big idea of this week.
2. Give one clear example.
3. Give a second different example.
4. What mistake should we watch for?
I can explain this idea to a partner:Yes □ No □
Mini-check · AnswersTeacher
Answers and look-fors
- Item 1 names the unit idea (fractions, decimals and percentages of a quantity) in child words.
- Items 2-3: two different correct examples.
- Item 4: a real muddle for this topic.
Use day-plan look-fors across the week.