Grade 5 Module 1 Lesson 12

Sprint

Add Decimals

Find the Product

4 × 2 ones = ___

Find the Product

4 × 2 ones = ___4 × 2 = 8

Say the multiplication sentence in unit form.

Find the Product

4 × 2 ones = ___4 × 2 = 8

Say the multiplication sentence in unit form.

4 × 2 ones = 8 ones

Find the Product

4 × 2 tenths = ____

Find the Product

4 × 2 tenths = ____4 × 2 tenths = 0.8

Say the multiplication sentence in unit form.

Find the Product

4 × 2 tenths = ____4 × 2 tenths = 0.8

Say the multiplication sentence in unit form.4 × 2 tenths = 8 tenths

Find the Product

4 × 2 hundredths = ____

Find the Product

4 × 2 hundredths = ____4 × 2 hundredths = 0.08

Say the multiplication sentence in unit form.

Find the Product

4 × 2 hundredths = ____4 × 2 hundredths = 0.08

Say the multiplication sentence in unit form.4 × 2 hundredths = 8 hundredths

Find the Product

5 × 3 ones = ____

Find the Product

5 × 3 ones = ____5 × 3 ones = 15

Say the multiplication sentence in unit form.

Find the Product

5 × 3 ones = ____5 × 3 ones = 15

Say the multiplication sentence in unit form.5 × 3 ones = 15 ones

Find the Product

5 × 3 tenths = ___

Find the Product

5 × 3 tenths = ___5 × 3 tenths = 1.5

Say the multiplication sentence in unit form.

Find the Product

5 × 3 tenths = ___5 × 3 tenths = 1.5

Say the multiplication sentence in unit form.5 × 3 tenths = 15 tenths = 1 one and 5 tenths

Find the Product

5 × 3 hundredths = ___

Find the Product

5 × 3 hundredths = ___5 × 3 hundredths = 0.15

Say the multiplication sentence in unit form.

Find the Product

5 × 3 hundredths = ___5 × 3 hundredths = 0.15

Say the multiplication sentence in unit form.5 × 3 hundredths = 15 hundredths

Application

Patty buys 7 juice boxes a month for lunch. If one juice costs $2.79, how much money does Patty spend on juice each month? Use an area model to solve.

Application

Patty buys 7 juice boxes a month for lunch. If one juice costs $2.79, how much money does Patty spend on juice each month? Use an area model to solve.

2 ones 7 tenths 9 hundredths

7

Application

Patty buys 7 juice boxes a month for lunch. If one juice costs $2.79, how much money does Patty spend on juice each month? Use an area model to solve.

2 7 tenths 9 hundredths

77 x 2 ones = 14 ones

Application

Patty buys 7 juice boxes a month for lunch. If one juice costs $2.79, how much money does Patty spend on juice each month? Use an area model to solve.

2 7 tenths 9 hundredths

77 x 2 ones = 14 ones

7 x 7 tenths= 49 tenths

Application

Patty buys 7 juice boxes a month for lunch. If one juice costs $2.79, how much money does Patty spend on juice each month? Use an area model to solve.

2 7 tenths 9 hundredths

7

14 + 4.9 + 0.63

7 x 2 ones = 14 ones

7 x 7 tenths= 49 tenths

7 x 9 hundredths =63 hundredths

Application

Patty buys 7 juice boxes a month for lunch. If one juice costs $2.79, how much money does Patty spend on juice each month? Use an area model to solve.

2 7 tenths 9 hundredths

7

14 + 4.9 + 0.63 = $19.53

a month

7 x 2 ones = 14 ones

7 x 7 tenths= 49 tenths

7 x 9 hundredths =63 hundredths

Concept Development

How are these 3 problems alike?

31 x 4 =3.1 x 4 =0.31 x 4 =

Concept Development

How are these 3 problems alike?

31 x 4 =3.1 x 4 =0.31 x 4 =Use the area model to find the products.

Concept Development

43 tens 1 one+

Concept Development

12 tens 4 ones43 tens 1 one+

Concept Development

12 tens 4 ones43 tens 1 one+

120 4 = 124+

Concept Development

43 ones 1 tenth+

Concept Development

12 ones 4 tenth43 ones 1 tenth+

Concept Development

12 ones 4 tenth43 ones 1 tenth+

12 0.4 = 12.4+

Concept Development

43 tenths 1 hundredths+

Concept Development

12 tenths 4 hundredths43 tenths 1 hundredths+

Concept Development

12 tenths 4 hundredths43 tenths 1 hundredths+

1.2 0.04 = 1.24+

Concept Development

5.1 x 6 What is the smallest unit in 5.1?

Concept Development

5.1 x 6 What is the smallest unit in 5.1?

TenthsMultiply 5.1 by 10 to convert it to tenths. How

many tenths is the same as 5.1?

Concept Development

5.1 x 6 What is the smallest unit in 5.1?

TenthsMultiply 5.1 by 10 to convert it to tenths. How

many tenths is the same as 5.1?51 tenths

Concept Development

51 tenthsSuppose our multiplication sentence was 51 x 6

Multiply and record your multiplication vertically. What is the product?

51x 6

Concept Development

51 tenthsSuppose our multiplication sentence was 51 x 6

Multiply and record your multiplication vertically. What is the product?

51 tenths

x 6 306

tenths

Concept Development

51 tenths

x 6 306

tenthsIs this a reasonable product for our actual problem of 5.1 x 6. Turn and Talk

Concept Development

51 tenths

x 6 306

tenthsIs this a reasonable product for our actual problem of 5.1 x 6. 5.1 is close to 5. 5 x 6 = 30306 tenths = 30.6. The product is reasonable.

Problem Set

Take 10 minutes and do your personal best to complete the Problem Set

Student Debrief

Lesson Objective: Multiply a decimal fraction by single-digit whole number, including using estimation to confirm the placement of the decimal point.