1. Mrs. Ennis Number and Shape Patterns Lesson 42
Math Grade 4
Mrs. Ennis
Number and Shape
Patterns
Lesson 42

2. 7, D = 9,390
809 – M = 320
6400 ÷ 80 = S
15 x 38 =
785 ÷ 5 = S
degrees in a straight angle

3. Days in a year?
8. Write in expanded form: 25,019
9. There are 7 red marbles, 5 blue marbles, and 3 yellow marbles in a bag. What is the probability of choosing a yellow marble?

4. 10. Jan, George and Mike were running a relay race
10. Jan, George and Mike were running a relay race. Their total time was 12 minutes and 42 seconds. If each team member ran equally fast, what was each person’s time?

5. 6. 180
7. 365
8. 20, , , + 9
9. 3/15 or 1/5
10. 4 minutes seconds
1. 955
2. 489
3. 80
4. 570
5. 157

6. Shape Patterns

7. Look for Patterns
A B A B A B A B
A B B A B B A B B
A A B B A A B B A A
A A B A A B A A B A A
A B B C A B B C A B B C

8. A B C A B C A B C A B C A B C

9. A B A B A B A B A B A B A B A

10. A B B C A A B B C A A B B C A

11. What color blocks are missing?

12. Answer: Green and Blue

13. Completed Pattern

14. What color blocks are missing?D ? ?

15. Answer: Green and Purple

16. Completed Pattern

17. What blocks are missing?

18. Answer: Brown, Blue, Green, Brown

19. Completed Pattern

20. What blocks are missing?

21. Answer: Blue, Purple, Green, Blue

22. Completed Pattern

23. Number Patterns

24. Patterns and Sequences
We often need to spot a pattern in order to predict what will happen next.
The correct name for a pattern of numbers is called a SEQUENCE.
The first number in a SEQUENCE is sometimes called the FIRST TERM; the second is the SECOND TERM and so on.

25. Patterns and Sequences
For any pattern it is important to try to spot what is happening before you predict the next number.
The first 2 or 3 numbers are rarely enough to show the full pattern - 4 or 5 numbers are best.

26. 1, 2, …… What’s the next number? Patterns and Sequences
For any pattern it is important to try to spot what is happening before you can predict the next number.
1, 2, ……
What’s the next number?

27. 1, 2, 4,… Patterns and Sequences
For any pattern it is important to try to spot what is happening before you can predict the next number.
1, 2, 4,…
Did you think the next number was 3?

28. 1, 2, 4, 8, 16, 32, 64 Patterns and Sequences
For any pattern it is important to try to spot what is happening before you can predict the next number.
1, 2, 4, 8, 16,
The rule is to double each number.
32, 64

29. Patterns and Sequences
Look at what is happening from 1 TERM to the next. See if that is what is happening for every TERM.
5, 8, 12, 17, 23, …, …
+ 3

30. 5, 8, 12, 17, 23, …, … Patterns and Sequences
Look at what is happening from 1 TERM to the next. See if that is what is happening for every TERM.
5, 8, 12, 17, 23, …, …
+ 3
+ 3 X

31. 5, 8, 12, 17, 23, …, … Patterns and Sequences
Look at what is happening from 1 TERM to the next. See if that is what is happening for every TERM.
5, 8, 12, 17, 23, …, …
+ 3
+ 4

32. 5, 8, 12, 17, 23, …, … Patterns and Sequences
Look at what is happening from 1 TERM to the next. See if that is what is happening for every TERM.
5, 8, 12, 17, 23, …, …
+ 3
+ 4
+ 5

33. 5, 8, 12, 17, 23, … Patterns and Sequences
Look at what is happening from 1 TERM to the next. See if that is what is happening for every TERM.
5, 8, 12, 17, 23, …
+ 3
+ 4
+ 5
+ 6

34. 5, 8, 12, 17, 23, 30, … Patterns and Sequences
Look at what is happening from 1 TERM to the next. See if that is what is happening for every TERM.
5, 8, 12, 17, 23, 30, …
+ 3
+ 4
+ 5
+ 6
+ 7

35. 5, 8, 12, 17, 23, 30, 38 Patterns and Sequences
Look at what is happening from 1 TERM to the next. See if that is what is happening for every TERM.
5, 8, 12, 17, 23, 30, 38
+ 3
+ 4
+ 5
+ 6
+ 7
+ 8

36. Patterns and Sequences
Now try these patterns:
3, 7, 11, 15, 19, ___, ___
128, 64, 32, 16, 8, ___, ___
1000, 100, 10, 1, ___, ___
5, 15, 45, 135, ____, ______ 23 27 4 2 .1
.01
405
1,215

37. Look at these number sequences.
What is the rule?
+10 30 40 50 60 70 80 +3 17 20 23 26 29 32 -7 48 41 34 27 20 13

38. What are the missing numbers in each of these sequences?
+25 50 75
100
125
150
175
+20 30 50 70 90
110
130 -5
196
191
186
181
176
171
-10
306
296
286
276
266
256

39. Find my rule. For these sequences there are 2 maths functions!3 7 15 31 63
127
x2 +1
x2 -1 2 3 5 9 17 33

40. Online Practice

41. Math Fun:
How many yellow stars are needed to balance scale #3? 1 2 3

42. Math Fun:
One yellow star. =
= 3
= 12
= 6

43. Resources: