1 / 26

> < =

Item 1. Write down your prediction. Then vote. Fill in the blank with either >, <, or = . > < =. Item 1. Discuss and write down your group's explanation. Fill in the blank with either >, <, or = . > < =. Item 1. Many children will choose “ < ”. Why? . < .

noe
Download Presentation

> < =

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Item 1 Write down your prediction. Then vote. Fill in the blank with either >, <, or = • > • < • =

  2. Item 1 Discuss and write down your group's explanation. Fill in the blank with either >, <, or = • > • < • =

  3. Item 1 Many children will choose “<”. Why? < Because they think “division makes smaller”. For example, 20 ÷ 4 < 20. 20 candies to be shared equally among 4 children will result in 5 candies per child, and 5 candies is less than 20 candies.

  4. Item 1 The correct answer is “>”. Why? > Because the divisor in this case is less than 1. For example, 20 ÷ ¼ > 20. Suppose you have 20 chocolate bars. If each child gets ¼ of a bar, then one bar can be shared by 4 children. So 20 bars can be shared by 80 children. 80 > 20.

  5. Item 2 Write down your prediction. Then vote. If N is a natural number, then N can take any of these values: 1, 2, 3, 4, 5, …. Is the following inequality always true, sometimes true, or never true? 67 89 N is a natural number:  N <N • Always True (AT) • Sometimes True (ST) • Never True (NT)

  6. Item 2 Discuss and write down your group's explanation. If N is a natural number, then N can take any of these values: 1, 2, 3, 4, 5, …. Is the following inequality always true, sometimes true, or never true? 67 89 N is a natural number:  N <N • Always True (AT) • Sometimes True (ST) • Never True (NT)

  7. Item 2 Many children will choose “NT”. Why? 67 89 N is a natural number:  N <N Because they think “multiplication makes bigger”. For example, 6  10 < 10 is false (In this case, N = 10). 6  10 = 10 + 10 + 10 + 10 + 10 + 10 = 60. So “6 times 10 makes 10 bigger”.

  8. Item 2 67 89 Note: is a proper fraction. i.e, < 1. The correct answer is “AT”. Why? 67 89 67 89 67 89 N is a natural number:  N <N Suppose N = 10.  10 ? 10

  9. Item 2 67 89 Note: is a proper fraction. i.e, < 1. 1  = 10 10 = The correct answer is “AT”. Why? 67 89 67 89 N is a natural number:  N <N Suppose N = 10.

  10. Item 2 67 89 Note: is a proper fraction. i.e, < 1. The correct answer is “AT”. Why? 67 89 67 89 67 89 N is a natural number:  N <N < Suppose N = 10.  10 10 <

  11. Item 2 67 89 Note: is a proper fraction. i.e, < 1. The correct answer is “AT”. Why? 67 89 67 89 67 89 67 89 N is a natural number:  N <N < In general,  N N . . . < . . . A portion of N units N units  N is actually a fractional part of the quantity N. smaller A proper fraction times a number makes the number ______.

  12. Item 3 Write down your prediction. Then vote. Note: If N is a natural number, then N can take any of these values: 1, 2, 3, 4, …. Is the following inequality always true, sometimes true, or never true? 2 35 2 35 N is a natural number: N > • Always True (AT) • Sometimes True (ST) • Never True (NT)

  13. Item 3 Discuss and write down your group's explanation. Note: If N is a natural number, then N can take any of these values: 1, 2, 3, 4, …. Is the following inequality always true, sometimes true, or never true? 2 35 2 35 N is a natural number: N > • Always True (AT) • Sometimes True (ST) • Never True (NT)

  14. Item 3 Note: If N is a natural number, then N can take any of these values: 1, 2, 3, 4, …. Many children will choose “AT”. Why? 2 35 2 35 N is a natural number: N > If N = 10, then 10  = If N = 3, then 3  = If N = 2, then 2  = + = . 2 35 4 35 2 35 2 35 6 35 2 35 2 35 2 35 4 35 2 35 6 35 2 35 2 35 20 35 2 35 20 35 2 35 2 35 2 35 + + = . + + = . … 10 times And > . And > . And > .

  15. Item 3 Note: If N is a natural number, then N can take any of these values: 1, 2, 3, 4, …. The correct answer is “ST”. Why? 2 35 2 35 2 35 2 35 N is a natural number: N > If N = 1, then 1  = . 2 35 2 35 2 35 2 35 N  . The correct inequality is And = .

  16. Item 4 Write down your prediction. Then vote. Is the following inequality always true, sometimes true, or never true? 11 25 N is a natural number: N÷ <N • Always True (AT) • Sometimes True (ST) • Never True (NT)

  17. Item 4 Discuss and write down your group's explanation. Is the following inequality always true, sometimes true, or never true? 11 25 N is a natural number: N÷ <N • Always True (AT) • Sometimes True (ST) • Never True (NT)

  18. Item 4 Many children will choose “AT”. Why? 11 25 N is a natural number: N÷ <N Because they think “division makes smaller”.

  19. Item 4 + + + + = = The correct answer is “NT”. Why? 11 25 N is a natural number: N÷ <N 11 25 11 25 3 25 25 25 11 25 11 25 11 25 11 25 Because N÷ means “How many ’s are in N?” Suppose N = 1. Then 1 ÷ means “How many ’s are in 1?”

  20. Item 4 + + + + = 1 = 3 11 unit of 1 unit of 1 unit of The correct answer is “NT”. Why? 11 25 N is a natural number: N÷ <N 3 11 11 25 11 25 11 25 11 25 11 25 11 25 11 25 Because N÷ means “How many ’s are in N?” Suppose N = 1. Then 1 ÷ means “How many ’s are in 1?” 2 or 25 11 Answer:

  21. Item 4 25 11 25 11 The correct answer is “NT”. Why? 11 25 N is a natural number: N÷ <N 11 25 11 25 > 1 > N 1 ÷ = 1  N÷ = N

  22. Item 4 25 11 25 11 The correct inequality is N÷ >N The correct answer is “NT”. Why? 11 25 11 25 N is a natural number: N÷ <N 11 25 11 25 > 1 > N N÷ = N 1 ÷ = 1  larger Dividing a number by a proper fraction makes the number ______.

  23. Item 5 Write down your prediction. Then vote. Is the following inequality always true, sometimes true, or never true? 32 23 N is a natural number:  N <N • Always True (AT) • Sometimes True (ST) • Never True (NT)

  24. Item 5 Discuss and write down your group's explanation. Is the following inequality always true, sometimes true, or never true? 32 23 N is a natural number:  N <N • Always True (AT) • Sometimes True (ST) • Never True (NT)

  25. Item 5 Some children will choose “NT”. Why? Because is an improper fraction. Because they think “multiplication makes bigger”. Other children will choose “AT”. Why? Because they think “a fraction times a number makes it smaller”. 32 23 32 23 N is a natural number:  N <N 32 23 32 23 32 23 “NT” . Why? The correct answer is _____ i.e., > 1  N > N  1 > 1

  26. Learning Points:

More Related