Teaching pack · Year 7 Algebraseegongsik /au
Solving one-variable linear equations: a week of ready-to-teach maths
Five days of lessons for Year 7 Algebra. Print this pack and the week is prepared.
AC9M7A03
solve one-variable linear equations with natural number solutions; verify the solution by substitution
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: “An equation balances”, “Solving by undoing”, “Verify by substitution”, “The same method, many equations”, “Closing in on the solution”.
seegongsik.com/au/y7/algebra/AC9M7A03
Aligned to Australian Curriculum V9 (AC9M7A03). 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 | An equation balances | Practise the idea with talk, board and worksheet | Board: An equation balances |
| 2 | Solving by undoing | Practise the idea with talk, board and worksheet | Board: Solving by undoing |
| 3 | Verify by substitution | Practise the idea with talk, board and worksheet | Board: Verify by substitution |
| 4 | The same method, many equations | Practise the idea with talk, board and worksheet | Board: The same method, many equations |
| 5 | Closing in on the solution | Practise the idea with talk, board and worksheet | Board: Closing in on the solution |
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 solving one-variable linear equations. Ask: What did you practise today?
seegongsik.com/au/y7/algebra/AC9M7A03/pack
Day 1 · Teacher planDay 1 of 5
An equation balances
Children practise “An equation balances” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain an equation balances 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 “An equation balances”,
- 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 “An equation balances”. 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 “An equation balances” on screen for the main block.
seegongsik.com/au/y7/algebra/AC9M7A03
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 an equation balances.
Day 1 · Worksheet
An equation balances
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
Solving by undoing
Children practise “Solving by undoing” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain solving by undoing 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 “Solving by undoing”,
- 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 “Solving by undoing”. 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 “Solving by undoing” on screen for the main block.
seegongsik.com/au/y7/algebra/AC9M7A03
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 solving by undoing.
Day 2 · Worksheet
Solving by undoing
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
Verify by substitution
Children practise “Verify by substitution” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain verify by substitution 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 “Verify by substitution”,
- 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 “Verify by substitution”. 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 “Verify by substitution” on screen for the main block.
seegongsik.com/au/y7/algebra/AC9M7A03
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 verify by substitution.
Day 3 · Worksheet
Verify by substitution
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 same method, many equations
Children practise “The same method, many equations” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain the same method, many equations 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 same method, many equations”,
- 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 same method, many equations”. 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 same method, many equations” on screen for the main block.
seegongsik.com/au/y7/algebra/AC9M7A03
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 same method, many equations.
Day 4 · Worksheet
The same method, many equations
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
Closing in on the solution
Children practise “Closing in on the solution” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain closing in on the solution 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 “Closing in on the solution”,
- 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 “Closing in on the solution”. 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 “Closing in on the solution” on screen for the main block.
seegongsik.com/au/y7/algebra/AC9M7A03
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 closing in on the solution.
Day 5 · Worksheet
Closing in on the solution
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 Solving one-variable linear equations
Cut out. Hold up a card and give an example.
An equation balances
Give an example.
Solving by undoing
Give an example.
Verify by substitution
Give an example.
The same method, many equations
Give an example.
Closing in on the solution
Give an example.
Store in an envelope labelled AC9M7A03.
Mini-check · End of week
Show what you know: Solving one-variable linear equations
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 (solving one-variable linear equations) 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.