Teaching pack · Year 7 Numberseegongsik /au
Square numbers and square roots: a week of ready-to-teach maths
Five days of lessons for Year 7 Number. Print this pack and the week is prepared.
AC9M7N01
describe the relationship between perfect square numbers and square roots, and use squares of numbers and square roots of perfect square numbers to solve problems
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: “Square numbers are squares”, “Square root is the reverse”, “Odd numbers build the squares”, “Trapping a root between squares”, “Squaring is not doubling”.
seegongsik.com/au/y7/number/AC9M7N01
Aligned to Australian Curriculum V9 (AC9M7N01). 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 | Square numbers are squares | Practise the idea with talk, board and worksheet | Board: Square numbers are squares |
| 2 | Square root is the reverse | Practise the idea with talk, board and worksheet | Board: Square root is the reverse |
| 3 | Odd numbers build the squares | Practise the idea with talk, board and worksheet | Board: Odd numbers build the squares |
| 4 | Trapping a root between squares | Practise the idea with talk, board and worksheet | Board: Trapping a root between squares |
| 5 | Squaring is not doubling | Practise the idea with talk, board and worksheet | Board: Squaring is not doubling |
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 square numbers and square roots. Ask: What did you practise today?
seegongsik.com/au/y7/number/AC9M7N01/pack
Day 1 · Teacher planDay 1 of 5
Square numbers are squares
Children practise “Square numbers are squares” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain square numbers are squares 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 “Square numbers are squares”,
- 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 “Square numbers are squares”. 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 “Square numbers are squares” on screen for the main block.
seegongsik.com/au/y7/number/AC9M7N01
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 square numbers are squares.
Day 1 · Worksheet
Square numbers are squares
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
Square root is the reverse
Children practise “Square root is the reverse” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain square root is the reverse 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 “Square root is the reverse”,
- 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 “Square root is the reverse”. 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 “Square root is the reverse” on screen for the main block.
seegongsik.com/au/y7/number/AC9M7N01
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 square root is the reverse.
Day 2 · Worksheet
Square root is the reverse
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
Odd numbers build the squares
Children practise “Odd numbers build the squares” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain odd numbers build the squares 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 “Odd numbers build the squares”,
- 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 “Odd numbers build the squares”. 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 “Odd numbers build the squares” on screen for the main block.
seegongsik.com/au/y7/number/AC9M7N01
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 odd numbers build the squares.
Day 3 · Worksheet
Odd numbers build the squares
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
Trapping a root between squares
Children practise “Trapping a root between squares” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain trapping a root between squares 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 “Trapping a root between squares”,
- 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 “Trapping a root between squares”. 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 “Trapping a root between squares” on screen for the main block.
seegongsik.com/au/y7/number/AC9M7N01
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 trapping a root between squares.
Day 4 · Worksheet
Trapping a root between squares
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
Squaring is not doubling
Children practise “Squaring is not doubling” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain squaring is not doubling 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 “Squaring is not doubling”,
- 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 “Squaring is not doubling”. 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 “Squaring is not doubling” on screen for the main block.
seegongsik.com/au/y7/number/AC9M7N01
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 squaring is not doubling.
Day 5 · Worksheet
Squaring is not doubling
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 Square numbers and square roots
Cut out. Hold up a card and give an example.
Square numbers are squares
Give an example.
Square root is the reverse
Give an example.
Odd numbers build the squares
Give an example.
Trapping a root between squares
Give an example.
Squaring is not doubling
Give an example.
Store in an envelope labelled AC9M7N01.
Mini-check · End of week
Show what you know: Square numbers and square roots
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 (square numbers and square roots) 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.