Primary 4 maths · Whole numbers · About 10 minutes
Continue number patterns to 100000
Compare each neighbouring pair. Repeat the verified change once more.
Start the interactive lesson →Open practice activity
What you will learn
- Continue number patterns to 100000
Models used: number sentences, stories, tables.
Before you start
Find the repeated change
Look at 20, 25, 30. What changes each time?
Start at the marked number. A jump to the right adds; a jump to the left takes away. Read the size of each jump.
Look at 20, 25, 30. What changes each time?
Many larger answers are possible. The repeated change tells us which one follows this pattern.
Start at the marked number. A jump to the right adds; a jump to the left takes away. Read the size of each jump.
20 to 25 is a jump of 5. The next jump is also 5.
Start at the marked number. A jump to the right adds; a jump to the left takes away. Read the size of each jump.
Repeat the same jump. The next number is 35.
30 + 5 = 35
What did the picture help us see?
Repeat the same jump. The next number is 35.
Worked example: A new example, together
Continue the sequence: 59520, 60520, 61520, 62520, …
| Position | Value |
|---|---|
| 1 | 59520 |
| 2 | 60520 |
| 3 | 61520 |
| 4 | 62520 |
Equal changes. Read each value with the heading above its column.
Compare each neighbouring pair. Repeat the verified change once more.
A constant-step pattern repeats the same change between neighbours.
Equal changes Position Value 1 59520 2 60520 3 61520 4 62520 Equal changes. Read each value with the heading above its column.
Compare neighbours: 60520 − 59520 = 1000.
Equal changes Position Value 1 59520 2 60520 3 61520 4 62520 Continue the sequence: 59520, 60520, 61520, 62520, …
63520
Equal changes. Read each value with the heading above its column.
Compare neighbours: 60520 − 59520 = 1000.
Equal changes Position Value 1 59520 2 60520 3 61520 4 62520 Equal changes. Read each value with the heading above its column.
Check the same change at the next pairs.
Equal changes Position Value 1 59520 2 60520 3 61520 4 62520 Equal changes. Read each value with the heading above its column.
62520 + 1000 = 63520.
Equal changes Position Value 1 59520 2 60520 3 61520 4 62520 Equal changes. Read each value with the heading above its column.
Check the result against the question we started with.
63520 − 62520 = 1000.
We found 63520. A constant-step pattern repeats the same change between neighbours.
Equal changes Position Value 1 59520 2 60520 3 61520 4 62520
Common mistakes to discuss
- Testing one gap only. A rule must fit every neighbouring pair. 2, 4, 8 could add 2 then 4, or double; check a third term before deciding.
Check your understanding
- Continue number patterns to 100000
- explain a pattern using a repeated change
- check the answer against the original quantities and units
Explain your reasoning to an adult, then try a fresh question in the interactive lesson. A result from one attempt is not proof of lasting mastery.
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