Grade 5 module 1 lesson 13
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Grade 5 Module 1 Lesson 13. Find the Product. 4 x 3 = (Say the multiplication sentence in unit form). Find the Product. 4 x 3 = (Say the multiplication sentence in unit form) 4 x 3 ones = 12 ones. Find the Product. 4 x 0.2 = (Say the multiplication sentence in unit form).

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Grade 5 Module 1 Lesson 13

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Grade 5 module 1 lesson 13

Grade 5 Module 1 Lesson 13


Find the product

Find the Product

4 x 3 =

(Say the multiplication sentence in unit form)


Find the product1

Find the Product

4 x 3 =

(Say the multiplication sentence in unit form)

4 x 3 ones = 12 ones


Find the product2

Find the Product

4 x 0.2 =

(Say the multiplication sentence in unit form)


Find the product3

Find the Product

4 x 0.2 =

(Say the multiplication sentence in unit form)

4 x 2 tenths = 8 tenths


Find the product4

Find the Product

4 x 3.2 =

(Say the multiplication sentence in unit form)


Find the product5

Find the Product

4 x 3.2 =

(Say the multiplication sentence in unit form)

4 x 3 ones 2 tenths = 12.8

Write the multiplication sentence


Find the product6

Find the Product

4 x 3.2 =

(Say the multiplication sentence in unit form)

4 x 3 ones 2 tenths = 12.8

Write the multiplication sentence

4 x 3.2 = 12.8


Compare decimal fractions

Compare Decimal Fractions

13.78 ___ 13.86

(On your personal white boards, compare the numbers using the greater than, less than, or equal sign.)


Compare decimal fractions1

Compare Decimal Fractions

13.78 ___ 13.86

(On your personal white boards, compare the numbers using the greater than, less than, or equal sign.)

13.78 < 13.86


Compare decimal fractions2

Compare Decimal Fractions

0.78 ___ 78/100

(On your personal white boards, compare the numbers using the greater than, less than, or equal sign.)


Compare decimal fractions3

Compare Decimal Fractions

0.78 ___ 78/100

(On your personal white boards, compare the numbers using the greater than, less than, or equal sign.)

0.78 = 78/100


Compare decimal fractions4

Compare Decimal Fractions

439.3 ___ 4.39

(On your personal white boards, compare the numbers using the greater than, less than, or equal sign.)


Compare decimal fractions5

Compare Decimal Fractions

439.3 ___ 4.39

(On your personal white boards, compare the numbers using the greater than, less than, or equal sign.)

439.3 > 4.39


Compare decimal fractions6

Compare Decimal Fractions

5.08 ___ fifty-eight tenths

(On your personal white boards, compare the numbers using the greater than, less than, or equal sign.)


Compare decimal fractions7

Compare Decimal Fractions

5.08 ___ fifty-eight tenths

(On your personal white boards, compare the numbers using the greater than, less than, or equal sign.)

5.08 < fifty-eight tenths


Compare decimal fractions8

Compare Decimal Fractions

5.08 ___ fifty-eight tenths

(On your personal white boards, compare the numbers using the greater than, less than, or equal sign.)

5.08 < fifty-eight tenths

Because fifty-eight tenths = 5 and 8 tenths (5.8). Remember that 10 tenths = 1 one (or 1 whole), so 50 tenths = 5 ones (or 5 wholes)


Application

Application

Louis buys 4 chocolates. Each chocolate costs $2.35. Louis multiplies 4 x 235 and gets 940. Place the decimal to show the cost of chocolates and explain your reasoning using words, numbers, and pictures


Concept development

Concept Development

0.9 ÷ 3 =

Show 9 tenths with your disks


Concept development1

Concept Development

0.9 ÷ 3 =

Show 9 tenths with your disks

Divide 9 tenths into 3 equal groups.

How many tenths are in each group?


Concept development2

Concept Development

0.9 ÷ 3 =

Show 9 tenths with your disks

Divide 9 tenths into 3 equal groups.

How many tenths are in each group?

There are 3 tenths in each group.


Concept development3

Concept Development

0.9 ÷ 3 = 0.3

(Read the number sentence using unit form.)


Concept development4

Concept Development

0.9 ÷ 3 = 0.3

(Read the number sentence using unit form.)

9 tenths divided by 3 equals 3 tenths.

How does unit form help us divide?


Concept development5

Concept Development

9 tenths divided by 3 equals 3 tenths.

How does unit form help us divide?

When we identify the units, then it’s just like dividing 9 apples into 3 groups. If you know what unit you are sharing, then it’s just like whole number division. You can just think about the basic fact.


Concept development6

Concept Development

3 groups of __________ = 0.9

(What is the missing number in our equation?


Concept development7

Concept Development

3 groups of __________ = 0.9

(What is the missing number in our equation?

3 tenths (0.3)


Concept development8

Concept Development

Show 24 hundredths with your disks


Concept development9

Concept Development

Show 24 hundredths with your disks

Divide 24 hundredths into 3 equal groups.

How many hundredths are in each group?


Concept development10

Concept Development

Show 24 hundredths with your disks

Divide 24 hundredths into 3 equal groups.

How many hundredths are in each group?

There are 8 hundredths in each group.


Concept development11

Concept Development

0.24 ÷ 3 = 0.08

(Read the number sentence using unit form.)


Concept development12

Concept Development

0.24 ÷ 3 = 0.08

(Read the number sentence using unit form.)

24 hundredths divided by 3 equals 8 hundredths

How does unit form help us divide?


Concept development13

Concept Development

24 hundredths divided by 3 equals 8 hundredths.

How does unit form help us divide?

When we identify the units, then it’s just like dividing 24 apples into 3 groups. If you know what unit you are sharing, then it’s just like whole number division. You can just think about the basic fact.


Concept development14

Concept Development

3 groups of ________ = 0.24

(What is the missing number in our equation?)


Concept development15

Concept Development

3 groups of ________ = 0.24

(What is the missing number in our equation?)

8 hundredths (0.08)


Concept development16

Concept Development

1.5 ÷ 5 = _____

(Read the equation using unit form.)


Concept development17

Concept Development

1.5 ÷ 5 = _____

(Read the equation using unit form.)

One and 5 tenths divided by 5

Or

15 tenths divided by 5

What is useful about reading the decimal as 15 tenths?


Concept development18

Concept Development

1.5 ÷ 5 = _____

(Read the equation using unit form.)

One and 5 tenths divided by 5

Or

15 tenths divided by 5

What is useful about reading the decimal as 15 tenths?

When you say the unit, it’s like basic math.


Concept development19

Concept Development

What is 15 tenths divided by 5?


Concept development20

Concept Development

What is 15 tenths divided by 5?

3 tenths


Concept development21

Concept Development

What is 15 tenths divided by 5?

3 tenths

1.5 ÷ 5 = 0.3

1.05 ÷ 5 = ______

(Read the equation using unit form.)


Concept development22

Concept Development

1.05 ÷ 5 = ______

(Read the equation using unit form.)

105 hundredths divided by 5


Concept development23

Concept Development

1.05 ÷ 5 = ______

(Read the equation using unit form.)

105 hundredths divided by 5

Is there another way to decompose this quantity (1.05)?


Concept development24

Concept Development

Is there another way to decompose this quantity (1.05)?

1 one and 5 hundredths

10 tenths and 5 hundredths

105 hundredths divided by 5 (original)


Concept development25

Concept Development

Is there another way to decompose this quantity (1.05)?

1 one and 5 hundredths

10 tenths and 5 hundredths

105 hundredths divided by 5 (original)

Which way of naming 1.05 is most useful when dividing by 5? Why? (Turn and talk. Then solve)


Concept development26

Concept Development

1 one and 5 hundredths

10 tenths and 5 hundredths

105 hundredths divided by 5 (original)

Which way of naming 1.05 is most useful when dividing by 5? Why? (Turn and talk. Then solve)

10 tenths and 5 hundredths because they are both multiples of 5. This makes it easy to use basic facts and divide mentally.


Concept development27

Concept Development

1 one and 5 hundredths

10 tenths and 5 hundredths

105 hundredths divided by 5 (original)

Which way of naming 1.05 is most useful when dividing by 5? Why? (Turn and talk. Then solve)

10 tenths and 5 hundredths because they are both multiples of 5. This makes it easy to use basic facts and divide mentally. The answer is 2 tenths and 1 hundredth.


Concept development28

Concept Development

1 one and 5 hundredths

10 tenths and 5 hundredths

105 hundredths divided by 5 (original)

Which way of naming 1.05 is most useful when dividing by 5? Why? (Turn and talk. Then solve)

105 hundredths is easier for me because I know 100 is 20 fives so 105 is 1 more, or 21. 21 hundredths.


Concept development29

Concept Development

1 one and 5 hundredths

10 tenths and 5 hundredths

105 hundredths divided by 5 (original)

Which way of naming 1.05 is most useful when dividing by 5? Why? (Turn and talk. Then solve)

I just used the algorithm from Grade 4 and got 21 and knew it was hundredths.


Problem set

Problem Set

10 minutes to solve, trying your personal best to complete the problem set.


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