5 Minute Check Complete in your notebook

Name: 5 Minute Check Complete in your notebook
Uploaded: 2017-11-26T10:11:04+00:00
Duration: PTM19S0
Channel: Jeffry Davis
Description: 5 Minute Check Complete in your notebook

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

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

5 Minute Check Complete in your notebook.

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

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

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

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

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

Objective: To understand how to estimate and 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 =

To multiply a fraction and whole number, convert the whole number to a fraction, then multiply as normal. What is14 as a fraction?

To multiply a fraction and whole number, convert the whole number to a fraction, then multiply as normal. Example = 1

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

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.

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…..

1 5 x 14 Use a comparable number for the larger number that is in the multiples list. 5: 5, 10, 15, 20…..

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

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

Estimate and Multiply. 2 2 x 5 = Estimate? Which number is smaller, 2 or 5?

Estimate and Multiply. 2 2 x 5 = Which number is smaller, 2 or 5? 2

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,…..

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

Estimate and Multiply. 2 2 x 5 = Actual Product?

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

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

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

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

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

2 2 x 5 Is the same as 5 x 2 Which is asking What is 5 of 2?

Estimate and Multiply. 2 6 x 3 = Estimate?

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?

Estimate and Multiply. 2 6 x 3 = Actual Product? 1 x 3 = 3 = 4

Estimate and Multiply. 3 4 x 5 Do this on your own.

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

If the numerators and denominators have a common factor you can simplify before multiplying.

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

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).

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?

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?

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.

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.

Estimate and Multiply. 3 4 x 14 ≈ 9 x 2x2 x = 2 =10 2

Estimate and Multiply. 1 3 x 9 ≈ 3 x 3 3 x = 3

Estimate and Multiply. 2 5 x 15 ≈ 6 x 5 x = 1 = 6

Estimate and Multiply. 1 7 x 8 Do this on your own

Estimate and Multiply. 1 7 x 8 ≈ 1 7 x 1 = 7 = 17

Estimate and Multiply. 3 8 x 11 Do this on your own

Estimate and Multiply. 2 3 x 10

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)

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

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)

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

Natalie multiplied 2/3 by 123 and got Is this a reasonable answer?

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.

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.

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

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.

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

Find Noah’s mistake and correct it.

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

Agenda Notes Homework – Homework Practice Show all work Due Friday, Oct 3 Mid-Chapter 6.4 Quiz Wednesday, Oct 8

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