Teaching pack · Year 7 Numberseegongsik /au
Prime factorisation with exponents: a week of ready-to-teach maths
Five days of lessons for Year 7 Number. Print this pack and the week is prepared.
AC9M7N02
represent natural numbers as products of powers of prime numbers using exponent notation
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 factor tree finds the primes”, “Exponents gather repeats”, “The first split does not matter”, “Rebuilding from the powers”, “Prime or composite”.
seegongsik.com/au/y7/number/AC9M7N02
Aligned to Australian Curriculum V9 (AC9M7N02). 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 factor tree finds the primes | Practise the idea with talk, board and worksheet | Board: A factor tree finds the primes |
| 2 | Exponents gather repeats | Practise the idea with talk, board and worksheet | Board: Exponents gather repeats |
| 3 | The first split does not matter | Practise the idea with talk, board and worksheet | Board: The first split does not matter |
| 4 | Rebuilding from the powers | Practise the idea with talk, board and worksheet | Board: Rebuilding from the powers |
| 5 | Prime or composite | Practise the idea with talk, board and worksheet | Board: Prime or composite |
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 prime factorisation with exponents. Ask: What did you practise today?
seegongsik.com/au/y7/number/AC9M7N02/pack
Day 1 · Teacher planDay 1 of 5
A factor tree finds the primes
Children practise “A factor tree finds the primes” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain a factor tree finds the primes in Year 7 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 factor tree finds the primes”,
- 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 factor tree finds the primes”. 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 factor tree finds the primes” on screen for the main block.
seegongsik.com/au/y7/number/AC9M7N02
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 factor tree finds the primes.
Day 1 · Worksheet
A factor tree finds the primes
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
Exponents gather repeats
Children practise “Exponents gather repeats” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain exponents gather repeats in Year 7 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 “Exponents gather repeats”,
- 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 “Exponents gather repeats”. 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 “Exponents gather repeats” on screen for the main block.
seegongsik.com/au/y7/number/AC9M7N02
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 exponents gather repeats.
Day 2 · Worksheet
Exponents gather repeats
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
The first split does not matter
Children practise “The first split does not matter” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain the first split does not matter in Year 7 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 “The first split does not matter”,
- 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 “The first split does not matter”. 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 “The first split does not matter” on screen for the main block.
seegongsik.com/au/y7/number/AC9M7N02
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 the first split does not matter.
Day 3 · Worksheet
The first split does not matter
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
Rebuilding from the powers
Children practise “Rebuilding from the powers” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain rebuilding from the powers in Year 7 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 “Rebuilding from the powers”,
- 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 “Rebuilding from the powers”. 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 “Rebuilding from the powers” on screen for the main block.
seegongsik.com/au/y7/number/AC9M7N02
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 rebuilding from the powers.
Day 4 · Worksheet
Rebuilding from the powers
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
Prime or composite
Children practise “Prime or composite” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain prime or composite in Year 7 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 “Prime or composite”,
- 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 “Prime or composite”. 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 “Prime or composite” on screen for the main block.
seegongsik.com/au/y7/number/AC9M7N02
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 prime or composite.
Day 5 · Worksheet
Prime or composite
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 Prime factorisation with exponents
Cut out. Hold up a card and give an example.
A factor tree finds the primes
Give an example.
Exponents gather repeats
Give an example.
The first split does not matter
Give an example.
Rebuilding from the powers
Give an example.
Prime or composite
Give an example.
Store in an envelope labelled AC9M7N02.
Mini-check · End of week
Show what you know: Prime factorisation with exponents
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 (prime factorisation with exponents) 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.