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5 Minute Check Complete in your notebook

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Presentation on theme: "5 Minute Check Complete in your notebook"— Presentation transcript:

1 5 Minute Check Complete in your notebook. 9 3 1. 10 + 5 2. 4 + 5 2 1

2 5 Minute Check Complete in your notebook

3 5 Minute Check Complete in your notebook = = 10 = 1 2

4 5 Minute Check Complete in your notebook.

5 5 Minute Check Complete in your notebook. 2. 4 + 5 = 20 + 20 = 20
= = 20

6 5 Minute Check Complete in your notebook.

7 5 Minute Check Complete in your notebook. 3. 7 3 - 37 = 3 - 7
= 7 x x 3 7 x x 3 = =

8 5 Minute Check Complete in your notebook.

9 5 Minute Check Complete in your notebook. 4. 9 8 - 2 6 = 8 - 6
= 3 x x 4 3 x x 4 = = 724

10 Video

11 Lesson 6.4.2 Multiply Fractions and Whole Numbers
Thursday, Oct 2 Lesson Multiply Fractions and Whole Numbers

12 Multiply Fractions and Whole Numbers
Lesson is estimation and will be incorporated into 6.4.2, and

13 Multiply Fractions and Whole Numbers
Objective: To understand how to estimate and multiply fractions and whole numbers.

14 Multiply Fractions and Whole Numbers
To multiply fractions, multiply the numerators and multiply the denominators, then simplify if needed. Example x = x 5 = 20 = 10 x =

15 Multiply Fractions and Whole Numbers
To multiply fractions, multiply the numerators and multiply the denominators, then simplify if needed. Example x = x 5 = 20 = 10 x =

16 Multiply Fractions and Whole Numbers
To multiply a fraction and whole number, convert the whole number to a fraction, then multiply as normal. What is14 as a fraction?

17 Multiply Fractions and Whole Numbers
To multiply a fraction and whole number, convert the whole number to a fraction, then multiply as normal. Example = 1

18 Multiply Fractions and Whole Numbers
To multiply a fraction and whole number, convert the whole number to a fraction, then multiply as before. Example 1 5 x 14 x = x 1 = 5 = 25

19 Multiply Fractions and Whole Numbers
1 5 x 14 When estimating the product of a fraction and whole number, make a multiples list for the smaller of either the whole number or the denominator.

20 Multiply Fractions and Whole Numbers
1 5 x 14 When estimating the product of a fraction and whole number, make a multiples list for the smaller of either the whole number or the denominator. 5: 5, 10, 15, 20…..

21 Multiply Fractions and Whole Numbers
1 5 x 14 Use a comparable number for the larger number that is in the multiples list. 5: 5, 10, 15, 20…..

22 Multiply Fractions and Whole Numbers
1 5 x 14 Use a comparable number for the larger number that is in the multiples list. 5: 5, 10, 15, 20…..

23 Multiply Fractions and Whole Numbers
1 5 x 14 Use a comparable number for the larger number that is in the multiples list. 5: 5, 10, 15, 20….. 5 x 15

24 Multiply Fractions and Whole Numbers
1 5 x 14 Use a comparable number for the larger number that is in the multiples list. 5: 5, 10, 15, 20… x 15 = 5 = 3

25 Multiply Fractions and Whole Numbers
Estimate and Multiply. 2 2 x 5 = Estimate? Which number is smaller, 2 or 5?

26 Multiply Fractions and Whole Numbers
Estimate and Multiply. 2 2 x 5 = Which number is smaller, 2 or 5? 2

27 Multiply Fractions and Whole Numbers
Estimate and Multiply. 2 2 x 5 = What is a comparable number for 5 that is in the multiples list of 2? 2: 2, 4, 6, 8,…..

28 Multiply Fractions and Whole Numbers
Estimate and Multiply. 2 2 x 5 = What is a comparable number for 5 that is in the multiples list of 2? 2: 2, 4, 6, 8,…..

29 Multiply Fractions and Whole Numbers
Estimate and Multiply. 2 2 x 5 = What is a comparable number for 5 that is in the multiples list of 2? 2: 2, 4, 6, 8,… x 4 = 4 =1

30 Multiply Fractions and Whole Numbers
Estimate and Multiply. 2 2 x 5 = Actual Product?

31 Multiply Fractions and Whole Numbers
Estimate and Multiply. 2 2 x 5 = Actual Product? 1 x 5 = 5 Is this a reasonable answer?

32 Multiply Fractions and Whole Numbers
Estimate and Multiply. 2 2 x 5 = Actual Product? 1 x 5 = 5 4 Is this a reasonable answer? 5 ≈1

33 Multiply Fractions and Whole Numbers
Estimate and Multiply. 2 x 5 = 5 A model can be used to represent this equation. Remember, 2 x is the same as

34 Multiply Fractions and Whole Numbers
Estimate and Multiply x 5 = 5 A model can be used to represent this equation. + =

35 Multiply Fractions and Whole Numbers
When multiplying a fraction by a whole number, the order of the factors does not change the product. This is true for any numbers and is an example of the Commutative Property. Example 2 x 5 = 5 x 2

36 Multiply Fractions and Whole Numbers
2 2 x 5 Is the same as 5 x 2 Which is asking What is 5 of 2?

37 Multiply Fractions and Whole Numbers
Estimate and Multiply. 2 6 x 3 = Estimate?

38 Multiply Fractions and Whole Numbers
Estimate and Multiply. 2 6 x 3 = Estimate? Since 3 and 6 are in the same multiples list the estimate and actual product will be the same. Actual Product?

39 Multiply Fractions and Whole Numbers
Estimate and Multiply. 2 6 x 3 = Actual Product? 1 x 3 = 3 = 4

40 Multiply Fractions and Whole Numbers
Estimate and Multiply. 3 4 x 5 Do this on your own.

41 Multiply Fractions and Whole Numbers
Estimate and Multiply. 3 4 x 5 ≈ 3 1 x 5 = 5 =25 Work done in my head: 4:4, 8, 12……. 1 X 4 = 4 = 3

42 Multiply Fractions and Whole Numbers
If the numerators and denominators have a common factor you can simplify before multiplying.

43 Multiply Fractions and Whole Numbers
If the numerators and denominators have a common factor you can simplify before multiplying. To simplify before multiplying, convert all numbers to prime factors.

44 Multiply Fractions and Whole Numbers
If the numerators and denominators have a common factor you can simplify before multiplying. Example 3 x 10 = Convert all numbers are prime factors (which means they have no factors other than one and itself).

45 Are there any factors that appear in the numerator and denominator?
Multiply Fractions If the numerators and denominators have a common factor you can simplify before multiplying. Example 3 x 10 = x3 3 x 2x5 = Are there any factors that appear in the numerator and denominator?

46 Are there any factors that appear in the numerator and denominator?
Multiply Fractions If the numerators and denominators have a common factor you can simplify before multiplying. Example 3 x 10 = x 3 x 2x5 = 2 Are there any factors that appear in the numerator and denominator?

47 We can prove this by multiplying the original.
Multiply Fractions If the numerators and denominators have a common factor you can simplify before multiplying. Example 3 x 10 = x 3 x 2x5 = 2 =12 We can prove this by multiplying the original.

48 We can prove this by multiplying the original.
Multiply Fractions If the numerators and denominators have a common factor you can simplify before multiplying. Example 3 x 10 = 30 = 2 =12 x 3 x 2x5 = 2 =12 We can prove this by multiplying the original.

49 Multiply Fractions and Whole Numbers
Estimate and Multiply. 3 4 x 14 Do this on your own.

50 Multiply Fractions and Whole Numbers
Estimate and Multiply. 3 4 x 14 ≈ 9 x 2x2 x = 2 =10 2

51 Multiply Fractions and Whole Numbers
Estimate and Multiply. 1 3 x 9 Do this on your own.

52 Multiply Fractions and Whole Numbers
Estimate and Multiply. 1 3 x 9 ≈ 3 x 3 3 x = 3

53 Multiply Fractions and Whole Numbers
Estimate and Multiply. 2 5 x 15 Do this on your own.

54 Multiply Fractions and Whole Numbers
Estimate and Multiply. 2 5 x 15 ≈ 6 x 5 x = 1 = 6

55 Multiply Fractions and Whole Numbers
Estimate and Multiply. 1 7 x 8 Do this on your own

56 Multiply Fractions and Whole Numbers
Estimate and Multiply. 1 7 x 8 ≈ 1 7 x 1 = 7 = 17

57 Multiply Fractions and Whole Numbers
Estimate and Multiply. 3 8 x 11 Do this on your own

58 Multiply Fractions and Whole Numbers
Estimate and Multiply. 3 8 x 11 ≈ 3 8 x 1 = 8 = 48

59 Multiply Fractions and Whole Numbers
Estimate and Multiply. 2 3 x 10

60 Multiply Fractions and Whole Numbers
Estimate and Multiply. 2 3 x 10 ≈ 6 3 x 1 = 3 = 63

61 Multiply Fractions and Whole Numbers
4 A sloth spends 5 of it’s life asleep. If a sloth lives to be 28 years old, how many years does it spend asleep? (Do this on your own)

62 Multiply Fractions and Whole Numbers
4 A sloth spends 5 of it’s life asleep. If a sloth lives to be 28 years old, how many years does it spend asleep? 5 x 28 ≈ 24 5 x 1 = 5 = 225

63 Multiply Fractions and Whole Numbers
One evening, 2/3 of Mrs. Thorne’s students watched a reality TV show. Of Mrs. Lombardo’s students, 4/5 watched the same reality show. Which teacher had more students watch the show? (Do this on your own)

64 Multiply Fractions and Whole Numbers
One evening, 2/3 of Mrs. Thorne’s students watched a reality TV show. Of Mrs. Lombardo’s students, 4/5 watched the same reality show. Which teacher had more students watch the show? Mrs. T x2x3x 3 x = =24 Mrs. L x 5 x = = 24

65 Multiply Fractions and Whole Numbers
Natalie multiplied 2/3 by 123 and got Is this a reasonable answer?

66 Multiply Fractions and Whole Numbers
Natalie multiplied 2/3 by 123 and got 156. Is this a reasonable answer? No, because if you multiply a whole number by a fraction the answer will always be less than the whole number.

67 Multiply Fractions and Whole Numbers
The male Cuban tree frog is about 2/5 the size of the female. The average size of the female is shown below. What is the size of the average male? Do this on your own.

68 Multiply Fractions and Whole Numbers
The male Cuban tree frog is about 2/5 the size of the female. The average size of the female is shown below. What is the size of the average male? 6 x 5 = 5 =2 5

69 Multiply Fractions and Whole Numbers
Write a problem involving the multiplication of a whole number and fraction with a product that is between 8 and 10. Do this on your own.

70 Multiply Fractions and Whole Numbers
Write a problem involving the multiplication of a whole number and fraction with a product that is between 8 and 10. Sample: 12 x 4 = 4 =9

71 Multiply Fractions and Whole Numbers
Find Noah’s mistake and correct it.

72 Multiply Fractions and Whole Numbers
x 8= 4 =6 Find Noah’s mistake and correct it. He multiplied both top and bottom by 8.

73 Multiply Fractions and Whole Numbers
Agenda Notes Homework – Homework Practice Show all work Due Friday, Oct 3 Mid-Chapter 6.4 Quiz Wednesday, Oct 8


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