Multiplying with Arrays and Repeated Addition!

Mathematics Grades 4th Grade 5:29 Video
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Lesson Description

Learn how to use arrays and repeated addition to understand multiplication better! This lesson helps you visualize multiplication and connect it to addition.

Video Resource

More on the concept of multiplication | Multiplication and division | Arithmetic | Khan Academy

Khan Academy

Duration: 5:29
Watch on YouTube

Key Concepts

  • Multiplication as repeated addition
  • Arrays as visual representations of multiplication
  • Factors and products
  • Different ways to represent the same product

Learning Objectives

  • Students will be able to represent multiplication using arrays.
  • Students will be able to express multiplication as repeated addition.
  • Students will be able to identify different factor pairs for a given product.

Educator Instructions

  • Introduction (5 mins)
    Begin by asking students what they already know about multiplication. Review basic multiplication facts (e.g., 2x3, 5x4). Introduce the idea that multiplication is a shortcut for repeated addition.
  • Video Viewing (7 mins)
    Play the Khan Academy video: 'More on the concept of multiplication'. Ask students to pay attention to how arrays are used to show multiplication and how multiplication is related to addition.
  • Discussion (5 mins)
    After the video, lead a discussion about the key concepts. Ask students to explain in their own words how multiplication and addition are related. Discuss different ways to group objects to represent multiplication.
  • Interactive Exercise: Array Building (10 mins)
    Provide students with manipulatives (e.g., counters, blocks, or even drawings). Give them multiplication problems (e.g., 3 x 5, 4 x 2) and ask them to create arrays to represent them. Then, have them write the corresponding repeated addition sentence.
  • Interactive Exercise: Finding Factor Pairs (8 mins)
    Give students a target number (e.g., 12, 16). Ask them to find all the different factor pairs that multiply to equal that number. Encourage them to use arrays and repeated addition to help them. For example, for 12: 1x12, 2x6, 3x4.
  • Wrap-up (5 mins)
    Review the key concepts and learning objectives. Answer any remaining questions. Assign the quizzes for assessment.

Interactive Exercises

  • Array Building
    Students create arrays using manipulatives to represent given multiplication problems and then write the corresponding addition sentence.
  • Finding Factor Pairs
    Students find all the factor pairs for a given number and represent them using arrays or repeated addition.

Discussion Questions

  • How is multiplication like addition?
  • Can you show me an example of multiplication using an array?
  • What are some different ways we can group things to show multiplication?
  • Why is understanding arrays helpful for understanding multiplication?

Skills Developed

  • Multiplication
  • Repeated addition
  • Visual representation (arrays)
  • Problem-solving
  • Critical thinking

Multiple Choice Questions

Question 1:

Which of these is the same as 3 x 4?

Correct Answer: 4 + 4 + 4

Question 2:

Which array shows 2 x 5?

Correct Answer: Two rows of 5

Question 3:

What is 5 x 3?

Correct Answer: 15

Question 4:

If you have 4 groups of 6 cookies, how many cookies do you have in total?

Correct Answer: 24

Question 5:

Which of the following shows 6 x 2 as repeated addition?

Correct Answer: 2 + 2 + 2 + 2 + 2 + 2

Question 6:

Which factor pair equals 10?

Correct Answer: 2 x 5

Question 7:

How many groups of 3 are in 9?

Correct Answer: 3

Question 8:

What repeated addition problem represents 2 groups of 8?

Correct Answer: 8 + 8

Question 9:

What array would you draw for 1x7?

Correct Answer: One row with 7

Question 10:

How can you make 16?

Correct Answer: 4 groups of 4

Fill in the Blank Questions

Question 1:

Multiplication is a shortcut for repeated ___________.

Correct Answer: addition

Question 2:

An ___________ is a way to show multiplication using rows and columns.

Correct Answer: array

Question 3:

The numbers you multiply together are called __________.

Correct Answer: factors

Question 4:

The answer to a multiplication problem is called the __________.

Correct Answer: product

Question 5:

3 x 6 means 3 groups of ___________.

Correct Answer: 6

Question 6:

5 + 5 + 5 + 5 can be written as ___________ x 5.

Correct Answer: 4

Question 7:

If you have 2 rows with 7 circles in each, you have ___________ circles in all.

Correct Answer: 14

Question 8:

10 can be made with the factor pair ___________ x 5.

Correct Answer: 2

Question 9:

6 groups of 2 equals ___________.

Correct Answer: 12

Question 10:

9 + 9 + 9 + 9 is the same as saying 4 groups of ___________.

Correct Answer: 9

Educational Standards

4.N.2.1:[Objective] Demonstrate fluency with multiplication and division facts with factors up to 12. 4.N.2.2:[Objective] Multiply 3-digit by 1-digit and 2-digit by 2-digit whole numbers, using various strategies, including but not limited to standard algorithms. 4.A.2.1:[Objective] Use the relationships between multiplication and division with the properties of multiplication to solve problems and find values for variables that make number sentences true.

Teaching Materials

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