Continue number patterns to 100000

What you will learn

• Continue number patterns to 100000

Models used: number sentences, stories, tables.

Before you start

• Read and write number names to 100000

Find the repeated change

Look at 20, 25, 30. What changes each time?

1. 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?

2. 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.

3. 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

Worked example: A new example, together

Continue the sequence: 59520, 60520, 61520, 62520, …

1. 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

2. 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

3. 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

4. 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

5. 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.