Engage New York, 5th Grade, M1, L13 (Lesson)

Engage New York, 5th Grade, M1, L13

Objective: Divide decimals by single-digit whole numbers

4 × 3 =

Say the multiplication sentence in unit form.

4 × 0.2 =

Say the multiplication sentence in unit form.

4 x 3.2 =

Say the multiplication sentence in unit form.

Open Ended

4 x 3.2 =

Write the multiplication sentence.

 4 × 3.21 =

Say the multiplication sentence in unit form.

Open Ended

Write the multiplication sentence.

9 × 2 =

Say the multiplication sentence in unit form.

Open Ended

Write the multiplication sentence.

9 × 0.1 =

Say the multiplication sentence in unit form.

Open Ended

Write the multiplication sentence.

9 × 0.03 =

Say the multiplication sentence in unit form.

Open Ended

Write the multiplication sentence.

9 × 2.13 =

Say the multiplication sentence in unit form.

Open Ended

Write the multiplication sentence.

4.012 × 4 =

Say the multiplication sentence in unit form.

Open Ended

Write the multiplication sentence.

5 × 3.237 =

Say the multiplication sentence in unit form.

Open Ended

Write the multiplication sentence.

Multiple Choice

13.78 __ 13.86

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• =

Multiple Choice

439.3 __ 4.39

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• =

Multiple Choice

5.8 __ fifty-eight tenths

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• =

Multiple Choice

thirty-five and nine thousandths __ 4 tens

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• =

Open Ended

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

Work this out on your whiteboard and list your answer and reasoning on Quizezz:

0.9 ÷ 3 =

• Draw disks to show 9 tenths on your place value chart. 

• Divide 9 tenths into 3 equal groups. 

• How many tenths are in each group? 

0.9 ÷ 3 = 0.3

• How does using a place value chart and disks help us divide small numbers? 

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Open Ended

3 groups of = 0.9

What is the unknown in our number sentence?

0.24 ÷ 4 =

• Draw disks to show 24 hundredths on your place value chart. 

• Divide 24 hundredths into 4 equal groups. 

• How many hundredths are in each group? 

Open Ended

0.24 ÷ 4 =

0.24 ÷ 4 = 0.06

0.032 ÷ 8 =

• Draw disks to show 32 thousandths on your place value chart. 

• Divide 32 thousandths into 8 equal groups. 

• How many thousandths are in each group? 

Open Ended

0.032 ÷ 8 =

0.032 ÷ 8 = 0.004

1.5 ÷ 5 =

• Read the equation stating the decimal in tenths.

• What is useful about reading the decimal as 15 tenths?

• What is 15 tenths divided by 5?

1.5 ÷ 5 = 0.3

1.05 ÷ 5 =

• Read the expression using unit form (hundredths) for the dividend (first number)

• Is there another way to decompose or break up (name or group) this number? Hint: What values can you break this number into-ones, tenths, hundreds, etc.

Poll

Which way of naming 1.05 is most useful when dividing by 5? Why?

• 105 hundredths

• 1 whole and 5 hundredths

• 10 tenths and 5 hundredths

10 tenths & 5 hundredths divided by 5

• 10 tenths divided by 5?

• 5 hundredths divided by 5?

• What is the quotient?

1.05 ÷ 5 = 0.21

The quotient is 2 tenths and 1 hundredth, or 21 hundredths

3.015 ÷ 5 =

• How can you decompose 3.015 to make it easy to divide by 5?

Open Ended

How can you decompose 3.015 to make it easy to divide by 5?

30 tenths & 15 hundredths

• 30 tenths divided by 5?

• 15 hundredths divided by 5?

Open Ended

3.015 ÷ 5 =

Compare the relationships between:

4.8 ÷ 6 = 0.8 and 48 ÷ 6 = 8

Open Ended

4.8 ÷ 6 = 0.8 and 48 ÷ 6 = 8

What relationships do you notice between these two equations? How are they alike?

Open Ended

How can 48 ÷ 6 help you with 4.8 ÷ 6?

Open Ended

4.08 ÷ 8 = 0.51 and 408 ÷ 8 = 51

What relationships do you notice between these two equations? How are they alike?

Open Ended

63.021 ÷ 7 = 9.003 and 63,021 ÷ 7 = 9,003

What relationships do you notice between these two equations? How are they alike?