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)

Find the Product

4 x 0.2 =(Say the multiplication sentence in unit form)4 x 2 tenths = 8 tenths

Find the Product

4 x 3.2 =(Say the multiplication sentence in unit form)

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 Product

4 x 3.2 =(Say the multiplication sentence in unit form)4 x 3 ones 2 tenths = 12.8

Write the multiplication sentence4 x 3.2 = 12.8

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 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 Fractions

0.78 ___ 78/100(On your personal white boards, compare the numbers using the greater than, less than, or equal sign.)

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 Fractions

439.3 ___ 4.39(On your personal white boards, compare the numbers using the greater than, less than, or equal sign.)

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 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 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 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

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

0.9 ÷ 3 =Show 9 tenths with your disks

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 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 Development

0.9 ÷ 3 = 0.3 (Read the number sentence using unit form.)

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 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 Development

3 groups of __________ = 0.9 (What is the missing number in our equation?

Concept Development

3 groups of __________ = 0.9 (What is the missing number in our equation?

3 tenths (0.3)

Concept Development

Show 24 hundredths with your disks

Concept Development

Show 24 hundredths with your disks

Divide 24 hundredths into 3 equal groups.

How many hundredths are in each group?

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 Development

0.24 ÷ 3 = 0.08(Read the number sentence using unit form.)

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 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 Development

3 groups of ________ = 0.24(What is the missing number in our equation?)

Concept Development

3 groups of ________ = 0.24(What is the missing number in our equation?)

8 hundredths (0.08)

Concept Development

1.5 ÷ 5 = _____(Read the equation using unit form.)

Concept Development

1.5 ÷ 5 = _____(Read the equation using unit form.)One and 5 tenths divided by 5 Or15 tenths divided by 5What is useful about reading the decimal as 15 tenths?

Concept Development

1.5 ÷ 5 = _____(Read the equation using unit form.)One and 5 tenths divided by 5 Or15 tenths divided by 5What is useful about reading the decimal as 15 tenths?When you say the unit, it’s like basic math.

Concept Development

What is 15 tenths divided by 5?

Concept Development

What is 15 tenths divided by 5?3 tenths

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 Development

1.05 ÷ 5 = ______(Read the equation using unit form.)105 hundredths divided by 5

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 Development

Is there another way to decompose this quantity (1.05)?1 one and 5 hundredths10 tenths and 5 hundredths105 hundredths divided by 5 (original)

Concept Development

Is there another way to decompose this quantity (1.05)?1 one and 5 hundredths10 tenths and 5 hundredths105 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 Development

1 one and 5 hundredths10 tenths and 5 hundredths105 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 Development

1 one and 5 hundredths10 tenths and 5 hundredths105 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 Development

1 one and 5 hundredths10 tenths and 5 hundredths105 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 Development

1 one and 5 hundredths10 tenths and 5 hundredths105 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

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