Teaching pack · Year 7 Measurementseegongsik /au
Pi and the features of circles: a week of ready-to-teach maths
Five days of lessons for Year 7 Measurement. Print this pack and the week is prepared.
AC9M7M03
describe the relationship between π and the features of circles including the circumference, radius and diameter
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: “Why pi is a bit over three”, “The parts of a circle”, “Estimating a circumference”, “The diameter is two radii”, “C over d is always pi”.
seegongsik.com/au/y7/measurement/AC9M7M03
Aligned to Australian Curriculum V9 (AC9M7M03). 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 | Why pi is a bit over three | Practise the idea with talk, board and worksheet | Board: Why pi is a bit over three |
| 2 | The parts of a circle | Practise the idea with talk, board and worksheet | Board: The parts of a circle |
| 3 | Estimating a circumference | Practise the idea with talk, board and worksheet | Board: Estimating a circumference |
| 4 | The diameter is two radii | Practise the idea with talk, board and worksheet | Board: The diameter is two radii |
| 5 | C over d is always pi | Practise the idea with talk, board and worksheet | Board: C over d is always pi |
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 pi and the features of circles. Ask: What did you practise today?
seegongsik.com/au/y7/measurement/AC9M7M03/pack
Day 1 · Teacher planDay 1 of 5
Why pi is a bit over three
Children practise “Why pi is a bit over three” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain why pi is a bit over three 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 “Why pi is a bit over three”,
- 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 “Why pi is a bit over three”. 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 “Why pi is a bit over three” on screen for the main block.
seegongsik.com/au/y7/measurement/AC9M7M03
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 why pi is a bit over three.
Day 1 · Worksheet
Why pi is a bit over three
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
The parts of a circle
Children practise “The parts of a circle” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain the parts of a circle 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 parts of a circle”,
- 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 parts of a circle”. 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 parts of a circle” on screen for the main block.
seegongsik.com/au/y7/measurement/AC9M7M03
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 parts of a circle.
Day 2 · Worksheet
The parts of a circle
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
Estimating a circumference
Children practise “Estimating a circumference” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain estimating a circumference 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 “Estimating a circumference”,
- 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 “Estimating a circumference”. 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 “Estimating a circumference” on screen for the main block.
seegongsik.com/au/y7/measurement/AC9M7M03
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 estimating a circumference.
Day 3 · Worksheet
Estimating a circumference
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
The diameter is two radii
Children practise “The diameter is two radii” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain the diameter is two radii 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 diameter is two radii”,
- 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 diameter is two radii”. 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 diameter is two radii” on screen for the main block.
seegongsik.com/au/y7/measurement/AC9M7M03
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 diameter is two radii.
Day 4 · Worksheet
The diameter is two radii
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
C over d is always pi
Children practise “C over d is always pi” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain c over d is always pi 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 “C over d is always pi”,
- 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 “C over d is always pi”. 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 “C over d is always pi” on screen for the main block.
seegongsik.com/au/y7/measurement/AC9M7M03
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 c over d is always pi.
Day 5 · Worksheet
C over d is always pi
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 Pi and the features of circles
Cut out. Hold up a card and give an example.
Why pi is a bit over three
Give an example.
The parts of a circle
Give an example.
Estimating a circumference
Give an example.
The diameter is two radii
Give an example.
C over d is always pi
Give an example.
Store in an envelope labelled AC9M7M03.
Mini-check · End of week
Show what you know: Pi and the features of circles
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 (pi and the features of circles) 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.