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

7,532 + 903 + D = 9,390 809 – M = 320 6400 ÷ 80 = S 15 x 38 = 785 ÷ 5 = S degrees in a straight angle

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 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?

6. 180 7. 365 8. 20,000 + 5,000 + 10, + 9 9. 3/15 or 1/5 10. 4 minutes 14 seconds 1. 955 2. 489 3. 80 4. 570 5. 157

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 A B A B A B A B A

A B B C A A B B C A A B B C A

What color blocks are missing?

Answer: Green and Blue

Completed Pattern

What color blocks are missing? 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.

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?

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?

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

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

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

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, 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

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

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

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

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? +10 30 40 50 60 70 80 --------------------------------------------------------------------------------------------------------------------- +3 17 20 23 26 29 32 --------------------------------------------------------------------------------------------------------------------- -7 48 41 34 27 20 13

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

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

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? 1 2 3

Math Fun: One yellow star. 4 = 2 = 3 2 = 12 1 = 6

Resources: http://mathlearnnc.sharpschool.com/UserFiles/Servers/Server_4507209/File/Instructional%20Resources/G4WW1-4.pdf 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.shtml http://pbskids.org/cyberchase/webisode_1/web_3game.html