Teaching pack · Year 9 Statisticsseegongsik /au
Reading Surveys: Estimating the Mean and Median: a week of ready-to-teach maths
Five days of lessons for Year 9 Statistics. Print this pack and the week is prepared.
AC9M9ST01
analyse reports of surveys in digital media and elsewhere for information on how data was obtained to estimate population means and medians
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: “Mean: balance the values”, “Median: the middle of sorted data”, “Even number: average two middles”, “A sample stands for a population”, “How was the data obtained?”.
seegongsik.com/au/y9/statistics/AC9M9ST01
Aligned to Australian Curriculum V9 (AC9M9ST01). 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 | Mean: balance the values | Practise the idea with talk, board and worksheet | Board: Mean: balance the values |
| 2 | Median: the middle of sorted data | Practise the idea with talk, board and worksheet | Board: Median: the middle of sorted data |
| 3 | Even number: average two middles | Practise the idea with talk, board and worksheet | Board: Even number: average two middles |
| 4 | A sample stands for a population | Practise the idea with talk, board and worksheet | Board: A sample stands for a population |
| 5 | How was the data obtained? | Practise the idea with talk, board and worksheet | Board: How was the data obtained? |
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 reading surveys: estimating the mean and median. Ask: What did you practise today?
seegongsik.com/au/y9/statistics/AC9M9ST01/pack
Day 1 · Teacher planDay 1 of 5
Mean: balance the values
Children practise “Mean: balance the values” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain mean: balance the values 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 “Mean: balance the values”,
- 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 “Mean: balance the values”. 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 “Mean: balance the values” on screen for the main block.
seegongsik.com/au/y9/statistics/AC9M9ST01
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 mean: balance the values.
Day 1 · Worksheet
Mean: balance the values
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
Median: the middle of sorted data
Children practise “Median: the middle of sorted data” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain median: the middle of sorted data 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 “Median: the middle of sorted data”,
- 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 “Median: the middle of sorted data”. 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 “Median: the middle of sorted data” on screen for the main block.
seegongsik.com/au/y9/statistics/AC9M9ST01
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 median: the middle of sorted data.
Day 2 · Worksheet
Median: the middle of sorted data
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
Even number: average two middles
Children practise “Even number: average two middles” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain even number: average two middles 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 “Even number: average two middles”,
- 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 “Even number: average two middles”. 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 “Even number: average two middles” on screen for the main block.
seegongsik.com/au/y9/statistics/AC9M9ST01
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 even number: average two middles.
Day 3 · Worksheet
Even number: average two middles
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 sample stands for a population
Children practise “A sample stands for a population” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain a sample stands for a population 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 sample stands for a population”,
- 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 sample stands for a population”. 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 sample stands for a population” on screen for the main block.
seegongsik.com/au/y9/statistics/AC9M9ST01
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 sample stands for a population.
Day 4 · Worksheet
A sample stands for a population
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
How was the data obtained?
Children practise “How was the data obtained?” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain how was the data obtained? 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 “How was the data obtained?”,
- 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 “How was the data obtained?”. 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 “How was the data obtained?” on screen for the main block.
seegongsik.com/au/y9/statistics/AC9M9ST01
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 how was the data obtained?.
Day 5 · Worksheet
How was the data obtained?
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 Reading Surveys: Estimating the Mean and Median
Cut out. Hold up a card and give an example.
Mean: balance the values
Give an example.
Median: the middle of sorted data
Give an example.
Even number: average two middles
Give an example.
A sample stands for a population
Give an example.
How was the data obtained?
Give an example.
Store in an envelope labelled AC9M9ST01.
Mini-check · End of week
Show what you know: Reading Surveys: Estimating the Mean and Median
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 (reading surveys: estimating the mean and median) 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.