Teaching pack · Year 6 Algebraseegongsik /au
Algorithms and Number Patterns: a week of ready-to-teach maths
Five days of lessons for Year 6 Algebra. Print this pack and the week is prepared.
AC9M6A03
create and use algorithms involving a sequence of steps and decisions that use rules to generate sets of numbers; identify, interpret and explain emerging patterns
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: “Steps in order”, “A rule builds a sequence”, “Predict the next term”, “A decision step”, “Find the rule”.
seegongsik.com/au/y6/algebra/AC9M6A03
Aligned to Australian Curriculum V9 (AC9M6A03). 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 | Steps in order | Practise the idea with talk, board and worksheet | Board: Steps in order |
| 2 | A rule builds a sequence | Practise the idea with talk, board and worksheet | Board: A rule builds a sequence |
| 3 | Predict the next term | Practise the idea with talk, board and worksheet | Board: Predict the next term |
| 4 | A decision step | Practise the idea with talk, board and worksheet | Board: A decision step |
| 5 | Find the rule | Practise the idea with talk, board and worksheet | Board: Find the rule |
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 algorithms and number patterns. Ask: What did you practise today?
seegongsik.com/au/y6/algebra/AC9M6A03/pack
Day 1 · Teacher planDay 1 of 5
Steps in order
Children practise “Steps in order” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain steps in order in Year 6 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 “Steps in order”,
- 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 “Steps in order”. 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 “Steps in order” on screen for the main block.
seegongsik.com/au/y6/algebra/AC9M6A03
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 steps in order.
Day 1 · Worksheet
Steps in order
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
A rule builds a sequence
Children practise “A rule builds a sequence” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain a rule builds a sequence in Year 6 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 rule builds a sequence”,
- 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 rule builds a sequence”. 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 rule builds a sequence” on screen for the main block.
seegongsik.com/au/y6/algebra/AC9M6A03
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 rule builds a sequence.
Day 2 · Worksheet
A rule builds a sequence
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
Predict the next term
Children practise “Predict the next term” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain predict the next term in Year 6 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 “Predict the next term”,
- 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 “Predict the next term”. 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 “Predict the next term” on screen for the main block.
seegongsik.com/au/y6/algebra/AC9M6A03
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 predict the next term.
Day 3 · Worksheet
Predict the next term
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
A decision step
Children practise “A decision step” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain a decision step in Year 6 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 decision step”,
- 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 decision step”. 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 decision step” on screen for the main block.
seegongsik.com/au/y6/algebra/AC9M6A03
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 decision step.
Day 4 · Worksheet
A decision step
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
Find the rule
Children practise “Find the rule” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain find the rule in Year 6 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 “Find the rule”,
- 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 “Find the rule”. 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 “Find the rule” on screen for the main block.
seegongsik.com/au/y6/algebra/AC9M6A03
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 find the rule.
Day 5 · Worksheet
Find the rule
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 Algorithms and Number Patterns
Cut out. Hold up a card and give an example.
Steps in order
Give an example.
A rule builds a sequence
Give an example.
Predict the next term
Give an example.
A decision step
Give an example.
Find the rule
Give an example.
Store in an envelope labelled AC9M6A03.
Mini-check · End of week
Show what you know: Algorithms and Number Patterns
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 (algorithms and number patterns) 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.