Teaching pack · Year 8 Numberseegongsik /au
Irrational Numbers: a week of ready-to-teach maths
Five days of lessons for Year 8 Number. Print this pack and the week is prepared.
AC9M8N01
recognise irrational numbers in applied contexts, including square roots and pi
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: “Two kinds of decimal”, “A square of area 2”, “Pi in every circle”, “Irrationals on the number line”, “Measuring a real garden”.
seegongsik.com/au/y8/number/AC9M8N01
Aligned to Australian Curriculum V9 (AC9M8N01). 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 | Two kinds of decimal | Practise the idea with talk, board and worksheet | Board: Two kinds of decimal |
| 2 | A square of area 2 | Practise the idea with talk, board and worksheet | Board: A square of area 2 |
| 3 | Pi in every circle | Practise the idea with talk, board and worksheet | Board: Pi in every circle |
| 4 | Irrationals on the number line | Practise the idea with talk, board and worksheet | Board: Irrationals on the number line |
| 5 | Measuring a real garden | Practise the idea with talk, board and worksheet | Board: Measuring a real garden |
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 irrational numbers. Ask: What did you practise today?
seegongsik.com/au/y8/number/AC9M8N01/pack
Day 1 · Teacher planDay 1 of 5
Two kinds of decimal
Children practise “Two kinds of decimal” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain two kinds of decimal in Year 8 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 “Two kinds of decimal”,
- 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 “Two kinds of decimal”. 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 “Two kinds of decimal” on screen for the main block.
seegongsik.com/au/y8/number/AC9M8N01
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 two kinds of decimal.
Day 1 · Worksheet
Two kinds of decimal
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
A square of area 2
Children practise “A square of area 2” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain a square of area 2 in Year 8 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 square of area 2”,
- 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 square of area 2”. 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 square of area 2” on screen for the main block.
seegongsik.com/au/y8/number/AC9M8N01
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 square of area 2.
Day 2 · Worksheet
A square of area 2
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
Pi in every circle
Children practise “Pi in every circle” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain pi in every circle in Year 8 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 “Pi in every 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 “Pi in every 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 “Pi in every circle” on screen for the main block.
seegongsik.com/au/y8/number/AC9M8N01
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 pi in every circle.
Day 3 · Worksheet
Pi in every 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 4 · Teacher planDay 4 of 5
Irrationals on the number line
Children practise “Irrationals on the number line” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain irrationals on the number line in Year 8 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 “Irrationals on the number line”,
- 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 “Irrationals on the number line”. 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 “Irrationals on the number line” on screen for the main block.
seegongsik.com/au/y8/number/AC9M8N01
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 irrationals on the number line.
Day 4 · Worksheet
Irrationals on the number line
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
Measuring a real garden
Children practise “Measuring a real garden” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain measuring a real garden in Year 8 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 “Measuring a real garden”,
- 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 “Measuring a real garden”. 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 “Measuring a real garden” on screen for the main block.
seegongsik.com/au/y8/number/AC9M8N01
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 measuring a real garden.
Day 5 · Worksheet
Measuring a real garden
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 Irrational Numbers
Cut out. Hold up a card and give an example.
Two kinds of decimal
Give an example.
A square of area 2
Give an example.
Pi in every circle
Give an example.
Irrationals on the number line
Give an example.
Measuring a real garden
Give an example.
Store in an envelope labelled AC9M8N01.
Mini-check · End of week
Show what you know: Irrational Numbers
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 (irrational numbers) 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.