Math Grade 4Mrs. Ennis

Number and Shape Patterns

Lesson 42

1. 7,532 + 903 + D = 9,390

2. 809 – M = 320

3. 6400 ÷ 80 = S

4. 15 x 38 =

5. 785 ÷ 5 = S

6. degrees in a straight angle

7. 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?

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?

1. 9552. 4893. 80 4. 5705. 157

6. 1807. 3658. 20,000 + 5,000 + 10, + 99. 3/15 or 1/510. 4 minutes 14 seconds

Shape Patterns

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

A B C

A B C

A B C

A B C

A B C

A B A

B A B

B A B

A B A

A B A

A B B

A A B

C A A

B B C

B C A

What color blocks are missing?

A B A BBA A?

?

Answer: Green and Blue

Completed Pattern

What color blocks are missing?

A BC D ?

?

Answer: Green and Purple

Completed Pattern

What blocks are missing?

Answer: Brown, Blue,Green, Brown

Completed Pattern

What blocks are missing?

Answer: Blue, Purple,Green, Blue

Completed Pattern

Number Patterns

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.

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.

Patterns and SequencesFor 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?

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?

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

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

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

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

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

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

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

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

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

Look at these number sequences.

What is the rule?

30 40 50 60 70 80

17 20 292623 32

---------------------------------------------------------------------------------------------------------------------

---------------------------------------------------------------------------------------------------------------------

48 41 34 27 20 13

+10

+3

-7

What are the missing numbers in each of these sequences?50

30

17515012510075---------------------------------------------------------------------------------------------------------------------

50 70 90 110130---------------------------------------------------------------------------------------------------------------------

171176181186191196---------------------------------------------------------------------------------------------------------------------

256266276286296306

+25

+20

-5

-10

Find my rule. For these sequences there are 2 maths

functions!3 7 3115 63 127

x2 -1

2 3317953

x2 +1

Online Practice

http://www.bbc.co.uk/schools/teachers/ks2_activities/maths/number_patterns.shtml

http://pbskids.org/cyberchase/webisode_1/web_3game.html

Math Fun:How many yellow stars are needed to balance scale #3?

21

3

Math Fun:

One yellow star.

4 =

2 = 3

2 = 12

1 = 6

http://mathlearnnc.sharpschool.com/UserFiles/Servers/Server_4507209/File/Instructional%20Resources/G4WW1-4.pdf

Resources:

http://www.primaryresources.co.uk/maths/mathsB3.htm

http://math.pppst.com/patterns.html

http://www.bbc.co.uk/schools/teachers/ks2_activities/maths/number_patterns.shtmlhttp://pbskids.org/cyberchase/webisode_1/web_3game.html