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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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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