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Math Grade 4

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.

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Math Grade 4

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  1. MathGrade 4 Mrs. Ennis Number and Shape Patterns Lesson 42

  2. 7,532 + 903 + 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. 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. 20,000 + 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

  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? ? A A B B A A B ?

  12. Answer: Green and Blue

  13. Completed Pattern

  14. What color blocks are missing? A B C 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. 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. 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. 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. 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. 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. 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, …, … + 5 + 3 + 4

  33. 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, … + 5 + 6 + 3 + 4

  34. 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, … + 5 + 6 + 7 + 3 + 4

  35. 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 + 5 + 6 + 7 + 8 + 3 + 4

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

  38. What are the missing numbers in each of these sequences? +25 50 75 100 125 150 175 --------------------------------------------------------------------------------------------------------------------- +20 50 70 90 110 130 30 --------------------------------------------------------------------------------------------------------------------- -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! 15 31 63 127 3 7 x2 +1 x2 -1 2 3 5 9 17 33

  40. Online Practice http://www.bbc.co.uk/schools/teachers/ks2_activities/maths/number_patterns.shtml http://pbskids.org/cyberchase/webisode_1/web_3game.html

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

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

  43. 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

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