Teaching pack · Year 7 Measurementseegongsik /au
Modelling with ratios: a week of ready-to-teach maths
Five days of lessons for Year 7 Measurement. Print this pack and the week is prepared.
AC9M7M06
use mathematical modelling to solve practical problems involving ratios; formulate problems, interpret and communicate solutions in terms of the situation, justifying choices made about the representation
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: “A scale is a ratio”, “Dividing in a ratio”, “Scaling a recipe”, “Map distance to real distance”, “A three-part ratio”.
seegongsik.com/au/y7/measurement/AC9M7M06
Aligned to Australian Curriculum V9 (AC9M7M06). 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 | A scale is a ratio | Practise the idea with talk, board and worksheet | Board: A scale is a ratio |
| 2 | Dividing in a ratio | Practise the idea with talk, board and worksheet | Board: Dividing in a ratio |
| 3 | Scaling a recipe | Practise the idea with talk, board and worksheet | Board: Scaling a recipe |
| 4 | Map distance to real distance | Practise the idea with talk, board and worksheet | Board: Map distance to real distance |
| 5 | A three-part ratio | Practise the idea with talk, board and worksheet | Board: A three-part ratio |
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 modelling with ratios. Ask: What did you practise today?
seegongsik.com/au/y7/measurement/AC9M7M06/pack
Day 1 · Teacher planDay 1 of 5
A scale is a ratio
Children practise “A scale is a ratio” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain a scale is a ratio 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 “A scale is a ratio”,
- 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 scale is a ratio”. 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 scale is a ratio” on screen for the main block.
seegongsik.com/au/y7/measurement/AC9M7M06
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 scale is a ratio.
Day 1 · Worksheet
A scale is a ratio
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
Dividing in a ratio
Children practise “Dividing in a ratio” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain dividing in a ratio 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 “Dividing in a ratio”,
- 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 “Dividing in a ratio”. 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 “Dividing in a ratio” on screen for the main block.
seegongsik.com/au/y7/measurement/AC9M7M06
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 dividing in a ratio.
Day 2 · Worksheet
Dividing in a ratio
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
Scaling a recipe
Children practise “Scaling a recipe” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain scaling a recipe 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 “Scaling a recipe”,
- 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 “Scaling a recipe”. 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 “Scaling a recipe” on screen for the main block.
seegongsik.com/au/y7/measurement/AC9M7M06
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 scaling a recipe.
Day 3 · Worksheet
Scaling a recipe
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
Map distance to real distance
Children practise “Map distance to real distance” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain map distance to real distance 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 “Map distance to real distance”,
- 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 “Map distance to real distance”. 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 “Map distance to real distance” on screen for the main block.
seegongsik.com/au/y7/measurement/AC9M7M06
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 map distance to real distance.
Day 4 · Worksheet
Map distance to real distance
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
A three-part ratio
Children practise “A three-part ratio” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain a three-part ratio 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 “A three-part ratio”,
- 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 three-part ratio”. 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 three-part ratio” on screen for the main block.
seegongsik.com/au/y7/measurement/AC9M7M06
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 three-part ratio.
Day 5 · Worksheet
A three-part ratio
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 Modelling with ratios
Cut out. Hold up a card and give an example.
A scale is a ratio
Give an example.
Dividing in a ratio
Give an example.
Scaling a recipe
Give an example.
Map distance to real distance
Give an example.
A three-part ratio
Give an example.
Store in an envelope labelled AC9M7M06.
Mini-check · End of week
Show what you know: Modelling with ratios
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 (modelling with ratios) 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.