Tuesday, Oct 30

5 Minute CheckComplete in your notebook. 9 31. 10 + 5 3 12. 4 + 5

2 13. 7 3 - 37

7 54. 9 8 - 2 6

5 Minute CheckComplete in your notebook. 9 31. 10 + 5 5 Minute CheckComplete in your notebook. 9 3 9 6 15 11. 10 + 5 = 10 + 10 = 10 = 1 2 5 Minute CheckComplete in your notebook. 3 12. 4 + 5

5 Minute CheckComplete in your notebook. 3 1 15 4 192. 4 + 5 = 20 + 20 = 20

5 Minute CheckComplete in your notebook. 2 13. 7 3 - 375 Minute CheckComplete in your notebook. 2 1 23 223. 7 3 - 37 = 3 - 7

7 x 23 22 x 37 x 3 - 7 x 3

161 66 95 11 21 - 21 = 21 = 4 215 Minute CheckComplete in your notebook. 7 54. 9 8 - 2 65 Minute CheckComplete in your notebook. 7 5 79 174. 9 8 - 2 6 = 8 - 6

3 x 79 17 x 4 3 x 8 - 6 x 4

237 68 169 1 24 - 24 = 24 = 724VideoThursday, Oct 2Lesson 6.4.2

Multiply Fractions and Whole NumbersMultiply Fractions and Whole NumbersLesson 6.4.1 is estimation and will be incorporated into 6.4.2, 6.4.3 and 6.4.4.

Multiply Fractions and Whole NumbersObjective: To understand how to estimate and multiply fractions and whole numbers.

Multiply Fractions and Whole NumbersTo multiply fractions, multiply the numerators and multiply the denominators, then simplify if needed.

Example x = 3 2 6 3 4 x 5 = 20 = 10 x =

Multiply Fractions and Whole NumbersTo multiply fractions, multiply the numerators and multiply the denominators, then simplify if needed.

Example x = 3 2 6 3 4 x 5 = 20 = 10 x =

Multiply Fractions and Whole NumbersTo multiply a fraction and whole number, convert the whole number to a fraction, then multiply as normal.

What is14 as a fraction?

Multiply Fractions and Whole NumbersTo multiply a fraction and whole number, convert the whole number to a fraction, then multiply as normal.

Example 14 14 = 1

Multiply Fractions and Whole NumbersTo multiply a fraction and whole number, convert the whole number to a fraction, then multiply as before.Example 1 5 x 14

x = 1 14 14 4 5 x 1 = 5 = 25 x =

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.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..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..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..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..

1 5 x 15Multiply 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..

1 15 5 x 15 = 5 = 3Multiply Fractions and Whole NumbersEstimate and Multiply. 2 2 x 5 =

Estimate?

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

Which number is smaller, 2 or 5? 2Multiply Fractions and Whole NumbersEstimate 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,..Multiply Fractions and Whole NumbersEstimate 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,..

Multiply Fractions and Whole NumbersEstimate 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,..

2 4 2 x 4 = 4 =1

Multiply Fractions and Whole NumbersEstimate and Multiply. 2 2 x 5 =

Actual Product? Multiply Fractions and Whole NumbersEstimate and Multiply. 2 2 x 5 =

Actual Product?

2 2 4 1 x 5 = 5

Is this a reasonable answer?Multiply Fractions and Whole NumbersEstimate and Multiply. 2 2 x 5 =

Actual Product?

2 2 4 1 x 5 = 5 4 Is this a reasonable answer? 5 1Multiply Fractions and Whole NumbersEstimate and Multiply. 2 4 2 x 5 = 5

A model can be used to represent this equation. Remember,

2 2 22 x 5 is the same as 5 + 5

Multiply Fractions and Whole NumbersEstimate and Multiply. 2 4 2 x 5 = 5

A model can be used to represent this equation. + =

Multiply Fractions and Whole NumbersWhen 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 2 2 x 5 = 5 x 2

Multiply Fractions and Whole Numbers 2 2 x 5

Is the same as

2 5 x 2

Which is asking

2What is 5 of 2?

Multiply Fractions and Whole NumbersEstimate and Multiply. 2 6 x 3 =

Estimate?

Multiply Fractions and Whole NumbersEstimate 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? Multiply Fractions and Whole NumbersEstimate and Multiply. 2 6 x 3 =

Actual Product?

6 2 12 1 x 3 = 3 = 4 Multiply Fractions and Whole NumbersEstimate and Multiply. 3 4 x 5

Do this on your own.

Multiply Fractions and Whole NumbersEstimate and Multiply. 3 4 x 5 3

4 3 12 2 1 x 5 = 5 =25 Work done in my head:

4:4, 8, 12.

4 3 121 X 4 = 4 = 3

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

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

To simplify before multiplying, convert all numbers to prime factors.

Multiply Fractions and Whole NumbersIf the numerators and denominators have a common factor you can simplify before multiplying. Example 5 9 3 x 10 =

Convert all numbers are prime factors (which means they have no factors other than one and itself).

Multiply Fractions If the numerators and denominators have a common factor you can simplify before multiplying. Example 5 9 3 x 10 =

5 3x3 3 x 2x5 =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 5 9 3 x 10 =

5 3x3 3 3 x 2x5 = 2Are 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 5 9 3 x 10 =

5 3x3 3 1 3 x 2x5 = 2 =12We can prove this by multiplying the original.

Multiply Fractions If the numerators and denominators have a common factor you can simplify before multiplying. Example 5 9 45 3 1 3 x 10 = 30 = 2 =12

5 3x3 3 1 3 x 2x5 = 2 =12We can prove this by multiplying the original.

Multiply Fractions and Whole NumbersEstimate and Multiply. 3 4 x 14

Do this on your own.

Multiply Fractions and Whole NumbersEstimate and Multiply. 3 4 x 14 9

3 2x7 21 1 2x2 x 1 = 2 =10 2 Multiply Fractions and Whole NumbersEstimate and Multiply. 1 3 x 9

Do this on your own.Multiply Fractions and Whole NumbersEstimate and Multiply. 1 3 x 9 3

1 3 x 3 3 x 1 = 3 Multiply Fractions and Whole NumbersEstimate and Multiply. 2 5 x 15

Do this on your own.

Multiply Fractions and Whole NumbersEstimate and Multiply. 2 5 x 15 6

2 3x5 6 5 x 1 = 1 = 6 Multiply Fractions and Whole NumbersEstimate and Multiply. 1 7 x 8

Do this on your own Multiply Fractions and Whole NumbersEstimate and Multiply. 1 7 x 8 1

1 8 8 1 7 x 1 = 7 = 17 Multiply Fractions and Whole NumbersEstimate and Multiply. 3 8 x 11

Do this on your own

Multiply Fractions and Whole NumbersEstimate and Multiply. 3 8 x 11 3

3 11 33 1 8 x 1 = 8 = 48 Multiply Fractions and Whole NumbersEstimate and Multiply. 2 3 x 10Multiply Fractions and Whole NumbersEstimate and Multiply. 2 3 x 10 6

2 10 20 2 3 x 1 = 3 = 63 Multiply Fractions and Whole Numbers 4A sloth spends 5 of its life asleep. If a sloth lives to be 28 years old, how many years does it spend asleep?

(Do this on your own)

Multiply Fractions and Whole Numbers 4A sloth spends 5 of its life asleep. If a sloth lives to be 28 years old, how many years does it spend asleep?

4 5 x 28 24

4 28 112 2 5 x 1 = 5 = 225Multiply Fractions and Whole NumbersOne evening, 2/3 of Mrs. Thornes students watched a reality TV show. Of Mrs. Lombardos students, 4/5 watched the same reality show. Which teacher had more students watch the show?

(Do this on your own)

Multiply Fractions and Whole NumbersOne evening, 2/3 of Mrs. Thornes students watched a reality TV show. Of Mrs. Lombardos students, 4/5 watched the same reality show. Which teacher had more students watch the show?

Mrs. T 2 2x2x3x3 24 3 x 1 = 1 =24

Mrs. L 4 5x6 24 5 x 1 = 1 = 24

Multiply Fractions and Whole NumbersNatalie multiplied 2/3 by 123 and got 156. Is this a reasonable answer?

Multiply Fractions and Whole NumbersNatalie 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.

Multiply Fractions and Whole NumbersThe 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.

Multiply Fractions and Whole NumbersThe 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? 2 12 26 x 5 = 5 =2 5

Multiply Fractions and Whole NumbersWrite 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.

Multiply Fractions and Whole NumbersWrite a problem involving the multiplication of a whole number and fraction with a product that is between 8 and 10. Sample: 3 36 12 x 4 = 4 =9

Multiply Fractions and Whole Numbers

Find Noahs mistake and correct it.

Multiply Fractions and Whole Numbers

3 244 x 8= 4 =6

Find Noahs mistake and correct it.

He multiplied both top and bottom by 8.

Multiply Fractions and Whole NumbersAgenda NotesHomework Homework Practice 6.4.2Show all workDue Friday, Oct 3

Mid-Chapter 6.4 Quiz Wednesday, Oct 8