Teaching pack · Year 7 Numberseegongsik /au
Expanded notation with powers of 10: a week of ready-to-teach maths
Five days of lessons for Year 7 Number. Print this pack and the week is prepared.
AC9M7N03
represent natural numbers in expanded notation using place value and powers of 10
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: “Each place is a power of ten”, “Expanding a number”, “The exponent counts the zeros”, “Times ten shifts the digits”, “Assembling from the parts”.
seegongsik.com/au/y7/number/AC9M7N03
Aligned to Australian Curriculum V9 (AC9M7N03). 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 | Each place is a power of ten | Practise the idea with talk, board and worksheet | Board: Each place is a power of ten |
| 2 | Expanding a number | Practise the idea with talk, board and worksheet | Board: Expanding a number |
| 3 | The exponent counts the zeros | Practise the idea with talk, board and worksheet | Board: The exponent counts the zeros |
| 4 | Times ten shifts the digits | Practise the idea with talk, board and worksheet | Board: Times ten shifts the digits |
| 5 | Assembling from the parts | Practise the idea with talk, board and worksheet | Board: Assembling from the parts |
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 expanded notation with powers of 10. Ask: What did you practise today?
seegongsik.com/au/y7/number/AC9M7N03/pack
Day 1 · Teacher planDay 1 of 5
Each place is a power of ten
Children practise “Each place is a power of ten” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain each place is a power of ten 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 “Each place is a power of ten”,
- 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 “Each place is a power of ten”. 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 “Each place is a power of ten” on screen for the main block.
seegongsik.com/au/y7/number/AC9M7N03
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 each place is a power of ten.
Day 1 · Worksheet
Each place is a power of ten
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
Expanding a number
Children practise “Expanding a number” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain expanding a number 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 “Expanding a number”,
- 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 “Expanding a number”. 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 “Expanding a number” on screen for the main block.
seegongsik.com/au/y7/number/AC9M7N03
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 expanding a number.
Day 2 · Worksheet
Expanding a number
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 exponent counts the zeros
Children practise “The exponent counts the zeros” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain the exponent counts the zeros 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 exponent counts the zeros”,
- 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 exponent counts the zeros”. 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 exponent counts the zeros” on screen for the main block.
seegongsik.com/au/y7/number/AC9M7N03
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 exponent counts the zeros.
Day 3 · Worksheet
The exponent counts the zeros
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
Times ten shifts the digits
Children practise “Times ten shifts the digits” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain times ten shifts the digits 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 “Times ten shifts the digits”,
- 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 “Times ten shifts the digits”. 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 “Times ten shifts the digits” on screen for the main block.
seegongsik.com/au/y7/number/AC9M7N03
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 times ten shifts the digits.
Day 4 · Worksheet
Times ten shifts the digits
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
Assembling from the parts
Children practise “Assembling from the parts” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain assembling from the parts 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 “Assembling from the parts”,
- 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 “Assembling from the parts”. 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 “Assembling from the parts” on screen for the main block.
seegongsik.com/au/y7/number/AC9M7N03
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 assembling from the parts.
Day 5 · Worksheet
Assembling from the parts
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 Expanded notation with powers of 10
Cut out. Hold up a card and give an example.
Each place is a power of ten
Give an example.
Expanding a number
Give an example.
The exponent counts the zeros
Give an example.
Times ten shifts the digits
Give an example.
Assembling from the parts
Give an example.
Store in an envelope labelled AC9M7N03.
Mini-check · End of week
Show what you know: Expanded notation with powers of 10
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 (expanded notation with powers of 10) 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.