Teaching pack · Year 7 Spaceseegongsik /au
Transformations in the Cartesian plane: a week of ready-to-teach maths
Five days of lessons for Year 7 Space. Print this pack and the week is prepared.
AC9M7SP03
describe transformations of a set of points using coordinates in the Cartesian plane, translations and reflections on an axis, and rotations about a given point
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: “Translation: sliding”, “Reflection and rotation”, “Reflection on an axis”, “Rotation about the origin”, “Combining transformations”.
seegongsik.com/au/y7/space/AC9M7SP03
Aligned to Australian Curriculum V9 (AC9M7SP03). 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 | Translation: sliding | Practise the idea with talk, board and worksheet | Board: Translation: sliding |
| 2 | Reflection and rotation | Practise the idea with talk, board and worksheet | Board: Reflection and rotation |
| 3 | Reflection on an axis | Practise the idea with talk, board and worksheet | Board: Reflection on an axis |
| 4 | Rotation about the origin | Practise the idea with talk, board and worksheet | Board: Rotation about the origin |
| 5 | Combining transformations | Practise the idea with talk, board and worksheet | Board: Combining transformations |
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 transformations in the cartesian plane. Ask: What did you practise today?
seegongsik.com/au/y7/space/AC9M7SP03/pack
Day 1 · Teacher planDay 1 of 5
Translation: sliding
Children practise “Translation: sliding” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain translation: sliding 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 “Translation: sliding”,
- 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 “Translation: sliding”. 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 “Translation: sliding” on screen for the main block.
seegongsik.com/au/y7/space/AC9M7SP03
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 translation: sliding.
Day 1 · Worksheet
Translation: sliding
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
Reflection and rotation
Children practise “Reflection and rotation” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain reflection and rotation 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 “Reflection and rotation”,
- 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 “Reflection and rotation”. 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 “Reflection and rotation” on screen for the main block.
seegongsik.com/au/y7/space/AC9M7SP03
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 reflection and rotation.
Day 2 · Worksheet
Reflection and rotation
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
Reflection on an axis
Children practise “Reflection on an axis” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain reflection on an axis 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 “Reflection on an axis”,
- 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 “Reflection on an axis”. 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 “Reflection on an axis” on screen for the main block.
seegongsik.com/au/y7/space/AC9M7SP03
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 reflection on an axis.
Day 3 · Worksheet
Reflection on an axis
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
Rotation about the origin
Children practise “Rotation about the origin” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain rotation about the origin 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 “Rotation about the origin”,
- 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 “Rotation about the origin”. 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 “Rotation about the origin” on screen for the main block.
seegongsik.com/au/y7/space/AC9M7SP03
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 rotation about the origin.
Day 4 · Worksheet
Rotation about the origin
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
Combining transformations
Children practise “Combining transformations” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain combining transformations 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 “Combining transformations”,
- 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 “Combining transformations”. 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 “Combining transformations” on screen for the main block.
seegongsik.com/au/y7/space/AC9M7SP03
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 combining transformations.
Day 5 · Worksheet
Combining transformations
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 Transformations in the Cartesian plane
Cut out. Hold up a card and give an example.
Translation: sliding
Give an example.
Reflection and rotation
Give an example.
Reflection on an axis
Give an example.
Rotation about the origin
Give an example.
Combining transformations
Give an example.
Store in an envelope labelled AC9M7SP03.
Mini-check · End of week
Show what you know: Transformations in the Cartesian plane
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 (transformations in the cartesian plane) 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.