Term to term rules

The Maths Habit

The frog makes the same hop every time. Which lily pad does it land on next? And next?

How big is the hop?

+369
+51015
+102030

Sequence
A list of numbers that follows a rule.
Term
Each number in a sequence.
a term
Term to term rule
How to get from one term to the next.
rulerule

+ hop+ hop+ hop+ hopnextnextaddorsubtracthop
  1. 1Find the hop.Is it the same every time?
  2. 2Hop on.Do the same hop again.
  3. 3Write the rule.Ring add or subtract. Write the size of the hop.

Write the next two terms. Write the rule.

1Find the hop.2Hop on.3Write the rule.+4+4+4+4+461014182226addsubtractor4

Write the next two terms. Write the rule.

1Find the hop.2Hop on.3Write the rule.+5+5+5+5+53813182328addsubtractor5

Write the next two terms. Write the rule.

1Find the hop.2Hop on.3Write the rule.+4+4+4+4+461014182226addsubtractor4
1Find the hop.
2Hop on.
3Write the rule.

Write the next two terms. Write the rule.

1Find the hop.2Hop on.3Write the rule.+3+3+3+3+3258111417addsubtractor3

Write the next two terms. Write the rule.

1Find the hop.2Hop on.3Write the rule.+4+4+4+4+461014182226addsubtractor4
1Find the hop.
2Hop on.
3Write the rule.

Write the next two terms. Write the rule.

1Find the hop.2Hop on.3Write the rule.+10+10+10+10+10152535455565addsubtractor10

Write the next two terms. Write the rule.

1Find the hop.2Hop on.3Write the rule.+4+4+4+4+461014182226addsubtractor4
1Find the hop.
2Hop on.
3Write the rule.

Write the next two terms. Write the rule.

1Find the hop.2Hop on.3Write the rule.+2+2+2+2+291113151719addsubtractor2

1Find the hop.
2Hop on.
3Write the rule.

1Write the next two terms. Write the rule.

1Find the hop.2Hop on.3Write the rule.+2+2+2+2+21357911addsubtractor2

2Write the next two terms. Write the rule.

1Find the hop.2Hop on.3Write the rule.+5+5+5+5+551015202530addsubtractor5

3Write the next two terms. Write the rule.

1Find the hop.2Hop on.3Write the rule.+3+3+3+3+3121518212427addsubtractor3

4Write the next two terms. Write the rule.

1Find the hop.2Hop on.3Write the rule.+10+10+10+10+1041424344454addsubtractor10

Does each sequence go up or down?

31282522Down
491419Up
60504030Down

− hop− hop− hop− hopnextnextaddorsubtracthop
  1. 1Find the hop.Going down? The hop takes away.
  2. 2Hop on.Do the same hop again.
  3. 3Write the rule.Ring add or subtract. Write the size of the hop.

Write the next two terms. Write the rule.

1Find the hop.2Hop on.3Write the rule.−3−3−3−3−3302724211815addsubtractor3

Write the next two terms. Write the rule.

1Find the hop.2Hop on.3Write the rule.−5−5−5−5−5504540353025addsubtractor5

Write the next two terms. Write the rule.

1Find the hop.2Hop on.3Write the rule.−3−3−3−3−3302724211815addsubtractor3
1Find the hop.
2Hop on.
3Write the rule.

Write the next two terms. Write the rule.

1Find the hop.2Hop on.3Write the rule.−2−2−2−2−21614121086addsubtractor2

Write the next two terms. Write the rule.

1Find the hop.2Hop on.3Write the rule.−3−3−3−3−3302724211815addsubtractor3
1Find the hop.
2Hop on.
3Write the rule.

Write the next two terms. Write the rule.

1Find the hop.2Hop on.3Write the rule.−10−10−10−10−10706050403020addsubtractor10

Write the next two terms. Write the rule.

1Find the hop.2Hop on.3Write the rule.−3−3−3−3−3302724211815addsubtractor3
1Find the hop.
2Hop on.
3Write the rule.

Write the next two terms. Write the rule.

1Find the hop.2Hop on.3Write the rule.−4−4−4−4−4332925211713addsubtractor4

Term to term rules worksheet, page 1

Term to term rules worksheet, page 2

Answer sheet

Is it right?
Thumbs up: right. Thumbs down: wrong.

  1. 4, 7, 10, 13. The next term is 16.

    Right

  2. 25, 20, 15, 10. The next term is 15.

    Wrong: it goes down, so 5

  3. 2, 4, 6, 8. The rule is add 2.

    Right

  4. 9, 12, 15, 18. The rule is add 2.

    Wrong: the hop is +3

  5. 40, 36, 32, 28. The next term is 24.

    Right

  1. 1, 2, 4, 8, 16. The hops are not the same. What is the rule? What is the next term?

    Multiply by 2: 32

  2. Is 50 in the sequence 4, 8, 12, 16, …? How do you know?

    No: 48 and 52 are, 50 is not

  3. The rule is add 5. The 3rd term is 17. What is the 1st term?

    7

  1. Fill in the frame.

    19, 23 (add 4)
    1Find the hop.2Hop on.3Write the rule.+4371115addsubtractor

  2. Fill in the frame.

    25, 20 (subtract 5)
    1Find the hop.2Hop on.3Write the rule.45403530addsubtractor

  3. Write the next two terms of 39, 32, 25, 18. Write the rule.

    11, 4 (subtract 7)
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