Teaching pack · Year 7 Algebraseegongsik /au
Manipulating formulas with several variables: a week of ready-to-teach maths
Five days of lessons for Year 7 Algebra. Print this pack and the week is prepared.
AC9M7A06
manipulate formulas involving several variables using digital tools, and describe the effect of systematic variation in the values of the variables
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: “Formulas with several variables”, “Varying one variable”, “A formula with a bracket”, “When both variables grow”, “A formula beyond geometry”.
seegongsik.com/au/y7/algebra/AC9M7A06
Aligned to Australian Curriculum V9 (AC9M7A06). 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 | Formulas with several variables | Practise the idea with talk, board and worksheet | Board: Formulas with several variables |
| 2 | Varying one variable | Practise the idea with talk, board and worksheet | Board: Varying one variable |
| 3 | A formula with a bracket | Practise the idea with talk, board and worksheet | Board: A formula with a bracket |
| 4 | When both variables grow | Practise the idea with talk, board and worksheet | Board: When both variables grow |
| 5 | A formula beyond geometry | Practise the idea with talk, board and worksheet | Board: A formula beyond geometry |
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 manipulating formulas with several variables. Ask: What did you practise today?
seegongsik.com/au/y7/algebra/AC9M7A06/pack
Day 1 · Teacher planDay 1 of 5
Formulas with several variables
Children practise “Formulas with several variables” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain formulas with several variables 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 “Formulas with several variables”,
- 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 “Formulas with several variables”. 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 “Formulas with several variables” on screen for the main block.
seegongsik.com/au/y7/algebra/AC9M7A06
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 formulas with several variables.
Day 1 · Worksheet
Formulas with several variables
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
Varying one variable
Children practise “Varying one variable” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain varying one variable 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 “Varying one variable”,
- 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 “Varying one variable”. 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 “Varying one variable” on screen for the main block.
seegongsik.com/au/y7/algebra/AC9M7A06
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 varying one variable.
Day 2 · Worksheet
Varying one variable
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
A formula with a bracket
Children practise “A formula with a bracket” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain a formula with a bracket 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 formula with a bracket”,
- 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 formula with a bracket”. 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 formula with a bracket” on screen for the main block.
seegongsik.com/au/y7/algebra/AC9M7A06
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 formula with a bracket.
Day 3 · Worksheet
A formula with a bracket
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
When both variables grow
Children practise “When both variables grow” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain when both variables grow 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 “When both variables grow”,
- 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 “When both variables grow”. 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 “When both variables grow” on screen for the main block.
seegongsik.com/au/y7/algebra/AC9M7A06
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 when both variables grow.
Day 4 · Worksheet
When both variables grow
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 formula beyond geometry
Children practise “A formula beyond geometry” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain a formula beyond geometry 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 formula beyond geometry”,
- 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 formula beyond geometry”. 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 formula beyond geometry” on screen for the main block.
seegongsik.com/au/y7/algebra/AC9M7A06
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 formula beyond geometry.
Day 5 · Worksheet
A formula beyond geometry
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 Manipulating formulas with several variables
Cut out. Hold up a card and give an example.
Formulas with several variables
Give an example.
Varying one variable
Give an example.
A formula with a bracket
Give an example.
When both variables grow
Give an example.
A formula beyond geometry
Give an example.
Store in an envelope labelled AC9M7A06.
Mini-check · End of week
Show what you know: Manipulating formulas with several variables
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 (manipulating formulas with several variables) 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.