Teaching pack · Year 9 Statisticsseegongsik /au
Sampling Methods and Misleading Representations: a week of ready-to-teach maths
Five days of lessons for Year 9 Statistics. Print this pack and the week is prepared.
AC9M9ST02
analyse how different sampling methods can affect the results of surveys and how choice of representation can be used to support a particular point of view
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: “Random sampling”, “Stratified keeps the proportions”, “A convenience sample is biased”, “Same data, axis from zero”, “Same data, truncated axis”.
seegongsik.com/au/y9/statistics/AC9M9ST02
Aligned to Australian Curriculum V9 (AC9M9ST02). 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 | Random sampling | Practise the idea with talk, board and worksheet | Board: Random sampling |
| 2 | Stratified keeps the proportions | Practise the idea with talk, board and worksheet | Board: Stratified keeps the proportions |
| 3 | A convenience sample is biased | Practise the idea with talk, board and worksheet | Board: A convenience sample is biased |
| 4 | Same data, axis from zero | Practise the idea with talk, board and worksheet | Board: Same data, axis from zero |
| 5 | Same data, truncated axis | Practise the idea with talk, board and worksheet | Board: Same data, truncated axis |
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 sampling methods and misleading representations. Ask: What did you practise today?
seegongsik.com/au/y9/statistics/AC9M9ST02/pack
Day 1 · Teacher planDay 1 of 5
Random sampling
Children practise “Random sampling” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain random sampling in Year 9 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 “Random sampling”,
- 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 “Random sampling”. 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 “Random sampling” on screen for the main block.
seegongsik.com/au/y9/statistics/AC9M9ST02
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 random sampling.
Day 1 · Worksheet
Random sampling
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
Stratified keeps the proportions
Children practise “Stratified keeps the proportions” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain stratified keeps the proportions in Year 9 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 “Stratified keeps the proportions”,
- 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 “Stratified keeps the proportions”. 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 “Stratified keeps the proportions” on screen for the main block.
seegongsik.com/au/y9/statistics/AC9M9ST02
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 stratified keeps the proportions.
Day 2 · Worksheet
Stratified keeps the proportions
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 convenience sample is biased
Children practise “A convenience sample is biased” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain a convenience sample is biased in Year 9 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 convenience sample is biased”,
- 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 convenience sample is biased”. 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 convenience sample is biased” on screen for the main block.
seegongsik.com/au/y9/statistics/AC9M9ST02
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 convenience sample is biased.
Day 3 · Worksheet
A convenience sample is biased
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
Same data, axis from zero
Children practise “Same data, axis from zero” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain same data, axis from zero in Year 9 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 “Same data, axis from zero”,
- 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 “Same data, axis from zero”. 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 “Same data, axis from zero” on screen for the main block.
seegongsik.com/au/y9/statistics/AC9M9ST02
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 same data, axis from zero.
Day 4 · Worksheet
Same data, axis from zero
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
Same data, truncated axis
Children practise “Same data, truncated axis” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain same data, truncated axis in Year 9 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 “Same data, truncated 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 “Same data, truncated 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 “Same data, truncated axis” on screen for the main block.
seegongsik.com/au/y9/statistics/AC9M9ST02
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 same data, truncated axis.
Day 5 · Worksheet
Same data, truncated 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 □
Cut-out cardsReuse all week
Talk cards for Sampling Methods and Misleading Representations
Cut out. Hold up a card and give an example.
Random sampling
Give an example.
Stratified keeps the proportions
Give an example.
A convenience sample is biased
Give an example.
Same data, axis from zero
Give an example.
Same data, truncated axis
Give an example.
Store in an envelope labelled AC9M9ST02.
Mini-check · End of week
Show what you know: Sampling Methods and Misleading Representations
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 (sampling methods and misleading representations) 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.