Array Adventures: Making Equations with Rows and Columns!

Mathematics Grades 2nd Grade 7:54 Video
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Lesson Description

Learn how to use arrays (organized rows and columns) to create addition equations! Discover how rows and columns help us understand multiplication in a fun, visual way.

Video Resource

Math Equations Using Arrays | 2nd Grade Math | Kids Academy

Kids Academy

Duration: 7:54
Watch on YouTube

Key Concepts

  • Arrays: Organized rows and columns of objects.
  • Rows: Horizontal arrangements in an array.
  • Columns: Vertical arrangements in an array.
  • Repeated Addition: Adding the same number multiple times.

Learning Objectives

  • Students will be able to identify rows and columns in an array.
  • Students will be able to write addition equations based on the rows in an array.
  • Students will be able to write addition equations based on the columns in an array.
  • Students will understand that both row and column equations represent the same total.

Educator Instructions

  • Introduction (5 mins)
    Begin by asking students if they know what an array is. Explain that an array is a way to organize things into rows and columns, like a checkerboard or a box of chocolates. Briefly review the concepts of rows (horizontal) and columns (vertical).
  • Video Viewing (7 mins)
    Show the 'Math Equations Using Arrays | 2nd Grade Math | Kids Academy' video. Encourage students to pay attention to how Teacher Michael creates equations from arrays.
  • Discussion (5 mins)
    After the video, discuss the main points. Ask students to explain in their own words how to find equations from an array. Review the example from the video (4 rows of 3 or 3 columns of 4).
  • Guided Practice (8 mins)
    Draw an array on the board (e.g., 3 rows of 5). Guide students to write the addition equation for the rows (5+5+5) and the addition equation for the columns (3+3+3+3+3). Emphasize that both equations equal the same total (15).
  • Independent Practice (10 mins)
    Provide students with pre-drawn arrays on worksheets or have them draw their own. Ask them to write the row equation and the column equation for each array.

Interactive Exercises

  • Array Building with Manipulatives
    Give each student (or pair of students) a set of manipulatives (e.g., counters, blocks). Call out dimensions (e.g., 'Make an array with 2 rows and 4 columns'). Have them build the array and then write the row and column equations.
  • Array Matching Game
    Create cards with arrays and cards with corresponding equations. Students match the array card to the correct row and column equation cards.

Discussion Questions

  • What is an array?
  • What is a row? What is a column?
  • How can we use arrays to write addition equations?
  • Why do the row equation and the column equation give us the same answer for the total in the array?

Skills Developed

  • Understanding arrays and their components (rows and columns)
  • Writing addition equations from visual representations
  • Connecting repeated addition to the concept of multiplication

Multiple Choice Questions

Question 1:

What is an array?

Correct Answer: Things in rows and columns

Question 2:

Which way do rows go?

Correct Answer: Side to side

Question 3:

Which way do columns go?

Correct Answer: Up and down

Question 4:

If an array has 2 rows with 5 stars in each row, what is the row equation?

Correct Answer: 5+5

Question 5:

If an array has 3 columns with 4 circles in each column, what is the column equation?

Correct Answer: 3+3+3+3

Question 6:

An array has 2 rows of 6. What is the total?

Correct Answer: 12

Question 7:

An array has 4 columns of 3. What is the total?

Correct Answer: 12

Question 8:

Which equation matches an array with 3 rows and 2 columns?

Correct Answer: 2+2+2 and 3+3

Question 9:

What do we add to make the row equation?

Correct Answer: Each number in the row

Question 10:

What do we add to make the column equation?

Correct Answer: numbers in column

Fill in the Blank Questions

Question 1:

An array is a way to organize things into _____ and _____.

Correct Answer: rows, columns

Question 2:

Rows go from side to _____

Correct Answer: side

Question 3:

Columns go up and _____

Correct Answer: down

Question 4:

In an array, we can write an equation for the _____.

Correct Answer: rows

Question 5:

We can also write an equation for the ____.

Correct Answer: columns

Question 6:

If an array has 2 rows of 4, the row equation is 4 + _____.

Correct Answer: 4

Question 7:

If an array has 3 columns of 5, the column equation is 5 + 5 + _____.

Correct Answer: 5

Question 8:

The total number of items in an array is the same whether you add the rows or the ______.

Correct Answer: columns

Question 9:

In an array with 2 rows and 3 columns you can write 2 plus 2 plus 2 or 3 plus 3 for your _____

Correct Answer: equations

Question 10:

_____ addition is adding the same number multiple times.

Correct Answer: Repeated

Educational Standards

2.N.2.6:Use concrete models and structured arrangements, such as repeated addition, arrays, and ten frames to develop an understanding of multiplication. 2.A.2.2:Generate models and situations to represent number sentences and vice versa.

Teaching Materials

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