Shady Multiplication
Resource Overview Quantile® Measure:
240Q
Skill or Concept:
Model multiplication in a variety of ways including repeated addition, rectangular arrays, and skip counting. (QT‐N‐118)
Excerpted from:
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Unit 1 – Lesson 2
Algebraic Thinking
Student Expectation: Students will discover mathematical properties using arrays and rectangles
Reteach Identify Patterns in Multiplication “Shady Multiplication”
K
Teacher note: In this Reteach, students will roll number cubes to make a multiplication fact. Then they will shade arrays on a grid to show the multiplication fact both ways, displaying the commutative property of multiplication. Group size: two groups Materials: grid, transparency page 29; number cubes; 2 overhead markers Before class: Gather materials. Directions: • Place the grid, transparency page 29, on the overhead. • The team with the shortest member goes first. • Each group will select a different-colored overhead marker for shading the grid. • Each group will take turns rolling the number cubes. • One group will roll first. The two numbers shown on the cubes will make a multiplication fact. A group member will shade in rectangle spaces on the grid to make an array that looks like a rectangle to match the multiplication fact. Then another group member will shade rectangles to form an array showing the other way the fact can be written. (Ex: You rolled a 2 and a 3. You write 2 x 3 and 3 x 2. Then shade in a 2 x 3 rectangle and a 3 x 2 rectangle.) Example:
• The students that formed the rectangles must verbalize the two number sentences they have represented and give the product. • The next group will roll the cubes and repeat this process. • When there aren’t enough rectangle spaces left to shade, play stops. The group with the most squares shaded wins.
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Gourmet Curriculum Press, Inc.©
Unit 1 – Lesson 2
Algebraic Thinking
Student Expectation: Students will discover mathematical properties using arrays and rectangles
Reteach—Grid Identify Patterns in Multiplication “Shady Multiplication”
Gourmet Curriculum Press, Inc.©
29 ( T )
Unit 1 – Practice #2
Algebraic Thinking
Directions: Read each problem carefully. Decide which answer best completes the question. Show your work.
Problem #1
Problem #3
Which picture shows the same number as 3 x 4?
Which picture shows the same number as 3 x 5? A
A
B B C C D
D Problem #2
Problem #4
To count her one-dollar bills, Ashana stacked them in sets of five. Which list shows numbers that she counted to get to the total dollar amount she had?
Jesse has 4 toys that each need 3 batteries. Which list shows how many batteries are needed for 1, 2, 3, and 4 toys?
F
5, 9, 14, 20
F
3 6 9 12
G 2 4 6 8
H
6 9 12 15
J
G 2, 4, 6, 8, 10 H 10, 20, 30, 40 J
30 ( T )
5, 10, 15, 20
Gourmet Curriculum Press, Inc.©
3 5 7 9
Unit 1 – Practice #2
Algebraic Thinking
Directions: Read each problem carefully. Decide which answer best completes the question. Show your work.
Problem #5
Problem #7
Kiara has a sticker book that has 4 stickers on each page. Which list shows how many stickers are on 2, 4, 6, and 8 pages?
Which picture shows the same as 2 x 3?
A
4 8 12 16
C 2 4 6 8
B
D
A
8 16 24 32
B
6 12 18 24
D
C
Problem #8 Problem #6 Ashley put together 3 candy canes for each of her 5 friends. Which list shows numbers of candy canes that she counted as she was putting them together? F
Stacy packed 3 cookies in each plastic bag to sell at the bake sale. Which list shows how many cookies she has in 3, 5, 7, and 9 bags? F
3 5 7 9
G
6 8 10 12
H
9 15 21 27
J
9 12 15 18
5, 8, 11, 14, 17
G 3, 6, 9, 12, 15 H 1, 5, 9, 13, 17 J
3, 6, 10, 15, 18
Gourmet Curriculum Press, Inc.©
31 ( T )
Unit 1 – Practice #2
Algebraic Thinking
Directions: Read each problem carefully. Decide which answer best completes the question. Show your work.
Problem #9
Problem #11
Betty arranged her dimes in the pattern shown.
At the grocery store, apples are sold in bags with 8 in each bag. If Bill counted the apples for the bags, which list shows the numbers he would have used? A 16, 24, 30, 36 B
Which operation best shows how she arranged them?
16, 24, 32, 40
C 8, 16, 20, 24 D 8, 12, 16, 20
A 4x5 B
3x5
Problem #12
C 3+5
An average high school student watches 4 hours of television each day.
D 4+5 Problem #10 Use x’s or another shape to show an array that would best represent the following: 6 x 3.
There are 7 days in each week. Using x’s or another shape, draw a pattern to help you determine how many hours of TV an average high school student watches each week.
How many hours does the average high school student watch in a week? 32 ( T )
Gourmet Curriculum Press, Inc.©
Unit 1 – Application #2
Algebraic Thinking
Directions: Read each problem carefully. Decide which answer best completes the question. Show your work. Problem #1
Problem #3
Which picture shows the same number as 2 x 6?
Kenny was setting up chairs for the assembly. He put 10 chairs in each row. Which list shows the number of chairs used in 3, 4, 6, and 8 rows? 10 20 30 40 15 25 35 45
Problem #2 Tiffany put 5 chocolate chips on top of each of the cookies she was making. Which list shows the number of chocolate chips she used in 3, 6, 9, and 12 cookies? 5 10 15 20 15 20 25 30
30 40 60 80 20 30 40 50 Problem #4 Which picture shows the same as 3 x 4?
5 15 25 35 15 30 45 60
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33
Unit 1 – Application #2
Algebraic Thinking
Directions: Read each problem carefully. Decide which answer best completes the question. Show your work. Problem #5
Problem #8
During the pageant, the top 4 girls receive 4 roses each. Which list shows the number of roses given to the four girls?
Jack and Jill laid out their candy in this pattern.
1, 2, 3, 4 4, 8, 12, 16 4, 6, 8, 10
Write an operation that best shows how these candies are arranged.
4, 9, 14, 19
Explain your answer.
Problem #6 Ms. Jones determined that it would take the students 3 minutes to finish each problem. Which list shows the amount of time it would take to finish 2, 4, 6, and 8 problems? 3 6 9 12
6 12 18 24
4 8 12 16
9 18 27 36
Mrs. Smith gave each of her students 2 pencils. Which list shows the number of pencils given out to the first 5 students? 1, 5, 10, 15, 20 1, 3, 5, 7, 9
The baker uses 3 cups of flour to make each batch of bread. Which list shows the number of cups of flour used for the first four batches? 3, 6, 9, 12 1, 4, 7, 10 1, 3, 9, 27 3, 9, 27, 81 Problem #10
Problem #7
2, 4, 6, 8, 10
Problem #9
A school band uniform has 14 buttons on it. There are 5 students that play clarinet. On the back of this page, draw an arrangement of items that shows how many buttons these 5 band students have on all their uniforms combined.
5, 7, 9, 11, 13
How many buttons are there?
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