Teaching pack · Year 10 Measurementseegongsik /au
Proportion and Scaling: a week of ready-to-teach maths
Five days of lessons for Year 10 Measurement. Print this pack and the week is prepared.
AC9M10M05
use mathematical modelling to solve practical problems involving proportion and scaling of objects; formulate problems and interpret solutions in terms of the situation; evaluate and modify models as necessary, and report assumptions, methods and findings
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: “Similar shapes: scaled copies”, “Length scales by k”, “Area scales by k squared”, “Volume scales by k cubed”, “Scale in maps and models”.
seegongsik.com/au/y10/measurement/AC9M10M05
Aligned to Australian Curriculum V9 (AC9M10M05). 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 | Similar shapes: scaled copies | Practise the idea with talk, board and worksheet | Board: Similar shapes: scaled copies |
| 2 | Length scales by k | Practise the idea with talk, board and worksheet | Board: Length scales by k |
| 3 | Area scales by k squared | Practise the idea with talk, board and worksheet | Board: Area scales by k squared |
| 4 | Volume scales by k cubed | Practise the idea with talk, board and worksheet | Board: Volume scales by k cubed |
| 5 | Scale in maps and models | Practise the idea with talk, board and worksheet | Board: Scale in maps and models |
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 proportion and scaling. Ask: What did you practise today?
seegongsik.com/au/y10/measurement/AC9M10M05/pack
Day 1 · Teacher planDay 1 of 5
Similar shapes: scaled copies
Children practise “Similar shapes: scaled copies” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain similar shapes: scaled copies in Year 10 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 “Similar shapes: scaled copies”,
- 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 “Similar shapes: scaled copies”. 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 “Similar shapes: scaled copies” on screen for the main block.
seegongsik.com/au/y10/measurement/AC9M10M05
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 similar shapes: scaled copies.
Day 1 · Worksheet
Similar shapes: scaled copies
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
Length scales by k
Children practise “Length scales by k” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain length scales by k in Year 10 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 “Length scales by k”,
- 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 “Length scales by k”. 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 “Length scales by k” on screen for the main block.
seegongsik.com/au/y10/measurement/AC9M10M05
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 length scales by k.
Day 2 · Worksheet
Length scales by k
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
Area scales by k squared
Children practise “Area scales by k squared” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain area scales by k squared in Year 10 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 “Area scales by k squared”,
- 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 “Area scales by k squared”. 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 “Area scales by k squared” on screen for the main block.
seegongsik.com/au/y10/measurement/AC9M10M05
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 area scales by k squared.
Day 3 · Worksheet
Area scales by k squared
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
Volume scales by k cubed
Children practise “Volume scales by k cubed” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain volume scales by k cubed in Year 10 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 “Volume scales by k cubed”,
- 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 “Volume scales by k cubed”. 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 “Volume scales by k cubed” on screen for the main block.
seegongsik.com/au/y10/measurement/AC9M10M05
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 volume scales by k cubed.
Day 4 · Worksheet
Volume scales by k cubed
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
Scale in maps and models
Children practise “Scale in maps and models” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain scale in maps and models in Year 10 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 “Scale in maps and models”,
- 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 “Scale in maps and models”. 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 “Scale in maps and models” on screen for the main block.
seegongsik.com/au/y10/measurement/AC9M10M05
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 scale in maps and models.
Day 5 · Worksheet
Scale in maps and models
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 Proportion and Scaling
Cut out. Hold up a card and give an example.
Similar shapes: scaled copies
Give an example.
Length scales by k
Give an example.
Area scales by k squared
Give an example.
Volume scales by k cubed
Give an example.
Scale in maps and models
Give an example.
Store in an envelope labelled AC9M10M05.
Mini-check · End of week
Show what you know: Proportion and Scaling
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 (proportion and scaling) 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.