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Read the key first
Task reminder
Let’s read this graph. One dot stands for two books.
Books read by three groups
A: counter; counter; counter. B: counter; counter; counter; counter; counter. C: counter; counter.
Scroll across to read every label.
Figure data
This table is included in print while it is open.
| Set | Counters |
|---|---|
| A | counter; counter; counter |
| B | counter; counter; counter; counter; counter |
| C | counter; counter |
See what A’s dots stand for
3 dots, each linked to 2 books. 6 books altogether.
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Figure data
This table is included in print while it is open.
| Quantity | Amount |
|---|---|
| Dots in A | 3 |
| Books for each dot | 2 |
| Books represented | 6 |
Three dots: 6 books.
- How many books do A’s three dots show? Let’s check together.
- One pair for each dot. Count two, four, six books.
Read two new rows
Task reminder
Tap B’s dots and count in twos. Try C next.
Key: ● = 2 books.
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B: 10 books. C: 4 books. Each dot stands for 2 books.
Compare in books
Task reminder
Pair A’s dots with C’s. How many more books are in A?
Compare A with C
A: counter; counter; counter. B: counter; counter; counter; counter; counter. C: counter; counter.
Scroll across to read every label.
Figure data
This table is included in print while it is open.
| Set | Counters |
|---|---|
| A | counter; counter; counter |
| B | counter; counter; counter; counter; counter |
| C | counter; counter |
Show answerHide answer
A has one extra dot. The key makes that two extra books: 6-4 = 2.
Compare another pairHide answer
Point to B’s extra dots. B has two more dots than A. That means four more books.
10 − 6 = 4, or 2 × 2 = 4.
Join two rows
Task reminder
Join A and C. Five dots, two books each. Ten books altogether.
Use only A and C
A: counter; counter; counter. B: counter; counter; counter; counter; counter. C: counter; counter.
Scroll across to read every label.
Figure data
This table is included in print while it is open.
| Set | Counters |
|---|---|
| A | counter; counter; counter |
| B | counter; counter; counter; counter; counter |
| C | counter; counter |
Check your understanding 1
Combine all three groups
Check your understanding 1
Combine all three groups
Task reminder
Find the books in all three rows. Use the key to count books, not dots.
Use all three rows
A: counter; counter; counter. B: counter; counter; counter; counter; counter. C: counter; counter.
Scroll across to read every label.
Figure data
This table is included in print while it is open.
| Set | Counters |
|---|---|
| A | counter; counter; counter |
| B | counter; counter; counter; counter; counter |
| C | counter; counter |
Show answerHide answer
20 books. 6 + 10 + 4 = 20. You see ten dots. Count two books per dot.
Same dots, different key
Task reminder
Let’s change the key. Same dots, new key. What happens to the number of pupils?
Read this key
Pupils: counter; counter; counter; counter.
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Figure data
This table is included in print while it is open.
| Set | Counters |
|---|---|
| Pupils | counter; counter; counter; counter |
Four dots: 20 pupils.
Now the key changes
Pupils: counter; counter; counter; counter.
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Figure data
This table is included in print while it is open.
| Set | Counters |
|---|---|
| Pupils | counter; counter; counter; counter |
Use 10 pupils per dot. How many pupils?
- Count five, ten, fifteen, twenty pupils. Four dots, five pupils each.
- Same four dots, new key. Ten pupils for each dot. How many pupils now?
Show answerHide answer
Point to the unchanged dots. Now they stand for 40 pupils. The key decides the value.
Read a half-symbol
Task reminder
Let’s read half a dot. One full dot means two books. Half a dot means one book.
A whole dot and a half-dot
Use this key for full dots and half-dots.
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Figure data
This table is included in print while it is open.
| Symbol | Books represented |
|---|---|
| One full dot | 2 books |
| One half-dot | 1 book |
Read a new row
Task reminder
Count the full dots in twos. What does the half-dot add?
Full dots and a half-dot
Three full dots and one half-dot. Key: one full dot stands for 2 books; one half-dot stands for 1 book.
Scroll across to read every label.
Figure data
This table is included in print while it is open.
| Row | Symbols |
|---|---|
| Books | Three full dots; one half-dot |
Show answerHide answer
7 books. Three full dots stand for six books. The half-dot stands for one more book.
Check your understanding 2
Make a sticker graph
Check your understanding 2
Make a sticker graph
Task reminder
Your turn. Each star means five stickers. Show Jo’s fifteen stickers and Sam’s twenty-five. Use stars.
Jo: 15 stickers. Sam: 25 stickers.
Key: ★ = 5 stickers.
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Task reminder
How many more stickers does Sam have? Check your rows and the key.
Show answer
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Jo: 3 stars. Sam: 5 stars. Each star stands for 5 stickers.
| Person | Stars |
|---|---|
| Jo | ★ ★ ★ |
| Sam | ★ ★ ★ ★ ★ |
Sam has 10 more stickers: 25-15 = 10. Two extra stars also stand for 2 × 5 = 10 stickers.
What can this graph tell you?
Task reminder
Let’s check the graph. This graph counts books. Does it show who read for longest?
What was counted?
A: counter; counter; counter. B: counter; counter; counter; counter; counter. C: counter; counter.
Scroll across to read every label.
Figure data
This table is included in print while it is open.
| Set | Counters |
|---|---|
| A | counter; counter; counter |
| B | counter; counter; counter; counter; counter |
| C | counter; counter |
Show answerHide answer
No. You can count books. You cannot find reading time. You cannot find pages per book.
For a grown-up
Pip’s synthetic voice uses the University of Edinburgh’s Alba speech dataset, via Piper’s Alba voice, under CC BY 4.0. Audio is optional.
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