Array-zing Multiplication: Unveiling Equal Groups!

Mathematics Grades 4th Grade 3:11 Video
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Lesson Description

Learn how arrays help us understand multiplication as repeated addition with this fun, interactive lesson!

Video Resource

Equal Groups Multiplication Song | Repeated Addition Using Arrays

Math Songs by NUMBEROCK

Duration: 3:11
Watch on YouTube

Key Concepts

  • Arrays as visual representations of multiplication
  • Multiplication as repeated addition
  • Equal groups in multiplication

Learning Objectives

  • Students will be able to define an array and explain how it relates to multiplication.
  • Students will be able to represent multiplication problems using arrays.
  • Students will be able to write multiplication equations based on arrays.
  • Students will be able to express multiplication using repeated addition.

Educator Instructions

  • Introduction (5 mins)
    Begin by asking students what they already know about multiplication. Discuss real-world examples of equal groups (e.g., packs of crayons, rows of desks). Introduce the concept of an array as a way to organize these groups.
  • Video Viewing (5 mins)
    Play the "Equal Groups Multiplication Song | Repeated Addition Using Arrays" video from NUMBEROCK. Encourage students to pay attention to how arrays are used to represent multiplication.
  • Array Exploration (15 mins)
    After the video, review the key concepts. Draw several arrays on the board, varying the number of rows and columns. For each array, ask students to identify the number of rows, the number of columns, and the total number of objects. Write the corresponding multiplication equation on the board (e.g., 3 rows x 4 columns = 12). Also demonstrate the repeated addition equation (e.g. 3+3+3+3 = 12)
  • Interactive Activity (15 mins)
    Provide students with grid paper and ask them to create their own arrays to represent different multiplication problems. Have them write the corresponding multiplication and repeated addition equations for each array.
  • Wrap-up (5 mins)
    Review the main ideas of the lesson. Emphasize the connection between arrays, repeated addition, and multiplication.

Interactive Exercises

  • Array Creation
    Students use manipulatives (e.g., counters, beans) to create arrays representing given multiplication problems.
  • Equation Matching
    Students match array diagrams with their corresponding multiplication and repeated addition equations.

Discussion Questions

  • How does an array help us visualize multiplication?
  • How is multiplication related to repeated addition?
  • Can you think of any real-world examples of arrays?

Skills Developed

  • Visualizing multiplication
  • Connecting multiplication and repeated addition
  • Problem-solving
  • Critical Thinking

Multiple Choice Questions

Question 1:

An array has 4 rows and 5 columns. How many objects are in the array?

Correct Answer: 20

Question 2:

Which equation shows repeated addition for 3 x 6?

Correct Answer: 6 + 6 + 6

Question 3:

What is the name for how the objects are organized in the multiplication equation?

Correct Answer: Array

Question 4:

If you have an array with 2 rows and 7 objects in each row, what is the multiplication equation?

Correct Answer: 2 x 7

Question 5:

Which of the following shows how to solve 4 x 3 using repeated addition?

Correct Answer: 4 + 4 + 4

Question 6:

What does the word 'product' mean in math?

Correct Answer: The result of multiplying

Question 7:

What is 5 x 5 using repeated addition?

Correct Answer: 5 + 5 + 5 + 5 + 5

Question 8:

An array has 8 objects and 2 rows. How many columns are in the array?

Correct Answer: 4

Question 9:

If a teacher puts the students into rows and columns, this is an...

Correct Answer: Array

Question 10:

If you have the equation 6 x 7. What is the product?

Correct Answer: 42

Fill in the Blank Questions

Question 1:

An _________ is a way to organize objects into rows and columns.

Correct Answer: array

Question 2:

Multiplication is the same as _________ _________.

Correct Answer: repeated addition

Question 3:

The answer to a multiplication problem is called the _________.

Correct Answer: product

Question 4:

Rows go side to _________.

Correct Answer: side

Question 5:

Columns go up and _________.

Correct Answer: down

Question 6:

Arrays must have _________ groups in order to solve multiplication problems.

Correct Answer: equal

Question 7:

In the equation 4 x 5 = 20, the number 20 is the _________.

Correct Answer: product

Question 8:

The addition equation 2 + 2 + 2 + 2 = 8 is the same as _________ x 2 = 8

Correct Answer: 4

Question 9:

When you are repeatedly adding the number must be the _________.

Correct Answer: same

Question 10:

With arrays, the total amount of items in each row/column must be _________.

Correct Answer: equal

Educational Standards

3.OA.1:Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 × 7. 4.N.2.2:Multiply 3-digit by 1-digit and 2-digit by 2-digit whole numbers, using various strategies, including but not limited to standard algorithms. 2.OA.4:Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write an equation to express the total as a sum of equal addends.

Teaching Materials

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