55CHAPTER 1CHAPTER 1

Solve Problems Usinga Patterning Strategy

14 NEL

Look for a pattern to solve a problem.

Here comes a parade of 100 clowns!Every 2nd clown has a red nose.Every 3rd clown wears glasses.

? How many clowns have a red nose and glasses?

Goal

1 2 3 4

11 12 13 14

21 22 23 24

31 32 33 34

41 42 43 44

You will need

• a 100 chart

Miki’s Solution

UnderstandI need a way to count every 2nd and 3rd clown in a line of 100 clowns. That way I can see how many clownshave red noses and glasses.

Make a PlanI can mark every 2nd and 3rd number on a 100 chart.Then I’ll count the marks.

Carry Out the PlanIn the first 3 rows of the chart, I mark

every 2nd number with and

every 3rd number with .

I see a pattern! Every 6th number has both marks.

I can now circle every 6th number and then count.

16 clowns have a red nose and glasses.

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100

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NEL 15

Checking2. Every 5th clown in the parade of 100 clowns wears a hat.

Every 2nd clown has a red nose.How many clowns have a hat and a red nose?

Practising3. a) Every 3rd clown in the parade of 100 clowns wears

glasses. How many clowns have a hat and glasses?b) How many clowns have a hat, glasses, and

a red nose?

4. a) Describe a pattern in the digits of the badge numbers.

b) Make a badge with a 7-digit number that has the same pattern.

5. Britney’s family went skating together on a Tuesday.After that, Britney and her brother Liam skated every 2nd day. Their mom skated every 3rd day and their dad skated every 4th day. On what day of the week did Britney’s family skatetogether again?

6. Look for a pattern in the numbers to find the answer.

7. Create and solve a problem that can be solved bylooking for a pattern.

1. How did looking for a pattern make the problemeasier to solve?

ReflectingReflecting

2002 6863443 4950594

999

20 � 19 � 18 � 17 � 16 � 15 � 14 � 13 � 12 � 11 � 10 � 9 � 8 � 7 � 6 � 5 � 4 � 3 � 2 � 1

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