Single-Digit Multiplication Pictures & Numbers

 

Resource Overview  Quantile® Measure: 

330Q 

Skill or Concept: 

Multiply 2‐ and 3‐digit whole numbers by a 1‐ digit whole number or a 2‐digit multiple of 10.  (QT‐N‐165)   

  Excerpted from:   

 

The Math Learning Center  PO Box 12929, Salem, Oregon 97309‐0929  www.mathlearningcenter.org  © Math Learning Center   

 

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Set A5 Number and Operations: Multi-Digit Multiplication

Set A5 H Activity 4 activity

Single-Digit Multiplication with Pictures & Numbers Overview

You’ll need

Students use the area model to picture and solve 1-digit by 2-digit multiplication problems. In this activity, the focus is on transitioning to using numbers only, connecting them to the area model as needed to support students’ work.

H Multiplication Story Problems (page A5.32, run one copy on a transparency)

Skills & Concepts

H a piece of paper to mask portions of the overhead

H Single-Digit Multiplication (pages A5.33 and A5.34, run a class set) H overhead pens

H multiply two-digit by one-digit numbers H estimate products to approximate solutions and determine reasonableness of answers H solve single- and multi-step word problems involving multi-digit multiplication and verify the solutions

Instructions for Single-Digit Multiplication with Pictures & Numbers 1. Place the top section of Multiplication Story Problems on display at the overhead. Keep the other two problems covered for now. Read the problem with the class. Work with students’ input to record a matching multiplication expression in vertical form. Ask them to pair-share estimates. Then call on volunteers to share their estimates with the class and explain their reasoning. Set A5 Number and Operations: Multi-Digit Multiplication Blackline Run 1 copy on a transparency.

Multiplication Story Problems 1 The kids in Mr. Gill’s class are going to paint a mural in the hallway by the office. The wall is 8 feet high and 23 feet long. How many square feet is the wall they’re going to paint?

23 x 8

Students It’s going to be more than 160 square feet because 10 × 8 is 80, and 80 + 80 is 160. I said maybe about 180 because 8 × 25 is 200. 2 The fourth graders are doing a show for their families. They set up 6 rows of put 26 chairs in each row. How many chairs did they use altogether? 8 × 20 is 160, so this willchairs. be They more. 2. Demonstrate how to make a very quick sketch to show 8 × 23 either on the whiteboard or the overhead. First sketch the dimensions, then the total array, and then add a line to show how the array can be divided into two partial products by place value (a step-by-step example is shown on the next page). 3 There is a big party at the park. There are 7 tables with balloons for the kids. Each table has 34 balloons. How many balloons in all?

© The Math Learning Center

Bridges in Mathematics Grade 4 Supplement • A5.29

Set A5 Number and Operations: Multi-Digit Multiplication

Activity 4 Single-Digit Multiplication with Pictures & Numbers (cont.) 20

3

3

20

8

20 8

8

Step 1 Sketch and label the dimensions.

3

Step 2 Draw a rectangle to show the whole product.

Step 3 Draw a line to show how the whole product can be divided into 2 partial products.

3. After you’ve sketched the array, give students each a copy of the Single-Digit Multiplication worksheet. Ask them to record 8 × 23 as the first problem at the top of the sheet and make a quick sketch similar to yours. Then ask everyone to find the total product by filling in and adding together the two partial products. Have them compare their results with a neighbor as they finish, and then reconvene the class. 4. Ask students to share their partial products while you record them in numerical form beside the array. Focus students’ attention on the magnitude of the final answer by starting with the numbers in the tens place, as shown below. Set A5 Number and Operations: Multi-Digit Multiplication Blackline Run 1 copy on a transparency.

Multiplication Story Problems 1 The kids in Mr. Gill’s class are going to paint a mural in the hallway by the office. The wall is 8 feet high and 23 feet long. How many square feet is the wall they’re going to paint? 23

20

3

160

24

x 8 8

Set A5 Number and Operations: Multi-Digit Multiplication Blackline Run 1 copy on a transparency.

23 x 8 8 x 20 = 160 8 x 3 = + 24 1 84

Multiplication Story Problems 2

The fourth graders are doing a show for their families. They set up 6 rows of

chairs. They put 26 chairs in eachat row.the How many chairs did they Ask use altogether? 5. Repeat Steps 1–4 with the other problems overhead. students to use your method of re1 Thetwo kids in Mr. Gill’s class are going to paint a mural in the hallway by the office. The wall is 8 feet high and 23 feet long. How many square feet is the wall 26 20 filled in copy cording and computing for Problems 2toand of the 26overhead is shown below for your 6 they’re going paint? 3. (A x 6 x 6 reference.) Then give students the second page of Single-Digit Multiplication (or have them turn their 20 3 23 6 x 20 = 23 120 120 36 6 8 sheets over if you ran the pagesx back-to-back), and work the rest6 xof6 = xthe + 836 problems independently. Give 8 x 20 = 160 1 56 160 8 24 support. help as needed, or meet with a small group to provide extra 8 x 3 = + 24

1 84

3 There is a big party at the park. There are 7 tables with balloons for the kids. Each table has 34 balloons. How many balloons in all? 2

The fourth graders are doing a show for their families. They set up 6 rows of 34 34 30 chairs. They put 26 chairs in each row. How many chairs did they4use altogether?

x 7 26

x 6

7 6

20

210

120

6 36

x 7 7 x 30 = 210 28 726 x 4 = + 28 x 6 238 6 x 20 = 120 6 x 6 = + 36 1 56

3 There is a big party at the park. There are 7 tables with balloons for the kids. Each table has 34 balloons. How many balloons in all? 34

30

4

210

28

x 7 7

A5.30 • Bridges in Mathematics Grade 4 Supplement

34 x 7 7 x 30 = 210 7 x 4 = + 28 238

© The Math Learning Center

Set A5 Number and Operations: Multi-Digit Multiplication

Activity 4 Single-Digit Multiplication with Pictures & Numbers (cont.)

Set A5 Number and Operations: Multi-Digit Multiplication Blackline Run a class set.

NAME

Set A5 Number and Operations: Multi-Digit Multiplication Blackline Run a class set.

DATE

NAME

DATE

Single-Digit Multiplication page 1 of 2

Single-Digit Multiplication page 2 of 2

1

2

Use sketches and numbers to solve each of these story problems with your class.

Use a sketch and numbers to solve the problems below. Follow the example.

a

Sketch

Numbers

example 20

28 × 4 _____ 4 × 20 = 80 4 × 8 = _____ + 32

8

4

112

a

36 × 5 _____

5 × 30 = 5 × 6 = + _____

b

b

24 × 7 _____

7 × 20 = 7 × 4 = + _____

c

45 × 9 _____

9 × 40 = 9 × 5 = + _____

c

3 a

Use numbers to solve these problems. 52 × 6 _____

6 × 50 = 6× 2=+ _____

b

37 × 7 _____

7 × 30 = 7× 7=+ _____

c

65 × 4 _____

d

325 × 7 _____

Independent Worksheet

Use Set A5 Independent Worksheet 3 to provide students with more practice finding and adding partial products to multiply double-digit by single-digit numbers.

© The Math Learning Center

Bridges in Mathematics Grade 4 Supplement • A5.31

Set A5 Number and Operations: Multi-Digit Multiplication Blackline Run 1 copy on a transparency.

Multiplication Story Problems 1

The kids in Mr. Gill’s class are going to paint a mural in the hallway by the office. The wall is 8 feet high and 23 feet long. How many square feet is the wall they’re going to paint?

2

The fourth graders are doing a show for their families. They set up 6 rows of chairs. They put 26 chairs in each row. How many chairs did they use altogether?

3

There is a big party at the park. There are 7 tables with balloons for the kids. Each table has 34 balloons. How many balloons in all?

A5.32 • Bridges in Mathematics Grade 4 Supplement

© The Math Learning Center

Set A5 Number and Operations: Multi-Digit Multiplication Blackline Run a class set.

name

date

Single-Digit Multiplication page 1 of 2 1

Use sketches and numbers to solve each of these story problems with your class.

a

b

c

© The Math Learning Center

Bridges in Mathematics Grade 4 Supplement • A5.33

Set A5 Number and Operations: Multi-Digit Multiplication Blackline Run a class set.

name

date

Single-Digit Multiplication page 2 of 2 2

Use a sketch and numbers to solve the problems below. Follow the example. Sketch

Numbers

example 20



8

28 × 4 _____

4 × 20 = 80 4 × 8 = _____ + 32



4

1 12



a



36 × 5 _____



24 × 7 _____



45 × 9 _____

5 × 30 = 5 × 6 = + _____

b

7 × 20 = 7 × 4 = + _____

c

9 × 40 = 9 × 5 = + _____

3

Use numbers to solve these problems.

a

52 × 6 _____

6 × 50 = 6 × 2 = + _____

b

37 × 7 _____

7 × 30 = 7 × 7 = + _____

A5.34 • Bridges in Mathematics Grade 4 Supplement

c

65 × 4 _____

d

325 × 7 _____

© The Math Learning Center