Rectangular Arrays

Grade 2 ยท mathematics ยท 88 practice problems ยท read aloud

๐Ÿ”Š Listen to this explanation

๐Ÿ“Š Rectangular Arrays

What is a Rectangular Array?

A rectangular array is a neat and tidy arrangement of objects into equal rows and columns, just like chairs in a classroom or eggs in a carton! ๐Ÿฅš We use them to help us count groups quickly and understand the beginning of multiplication.

How to Make a Rectangular Array

  1. Step 1: Know your numbers. You need a number for the rows and a number for the columns.
  2. Step 2: Draw the rows. Rows go across, like a row of kids in a school picture. ๐Ÿ“ธ
  3. Step 3: Draw the columns. Columns go up and down, like tall columns on a building.
  4. Step 4: Count all the objects. You can count by rows, by columns, or one by one!

Let's Look at Some Examples!

Example 1: 3 rows of 4 cookies

๐Ÿช ๐Ÿช ๐Ÿช ๐Ÿช
๐Ÿช ๐Ÿช ๐Ÿช ๐Ÿช
๐Ÿช ๐Ÿช ๐Ÿช ๐Ÿช

We have 3 rows and 4 columns. We can say "3 rows of 4". To find the total, we can count: 4, 8, 12. There are 12 cookies.

Example 2: 2 rows of 5 stickers

โญ โญ โญ โญ โญ
โญ โญ โญ โญ โญ

We have 2 rows and 5 columns. We can say "2 rows of 5". To find the total, we can count: 5, 10. There are 10 stickers.

Common Mistakes to Avoid ๐Ÿšซ

Mixing up rows and columns: Remember, rows go sideways (like a pancake), and columns go up and down (like a tall stack of pancakes).

Forgetting to make equal rows: Every row must have the same number of objects! If one row has 4, they all must have 4.

Tips & Tricks

Use your fingers: Point to each row as you count. For 3 rows of 4, point and say "4, 8, 12".

Look for arrays everywhere: Find arrays on a calendar, a chessboard, or a waffle! ๐Ÿง‡

Think "rows of": Always say the number of rows first. "4 rows of 3" is different from "3 rows of 4"!

How to Practice

  • Use small objects like buttons, cereal, or blocks to build your own arrays.
  • Draw arrays on graph paper. Color in the squares!
  • Ask a grown-up to give you a problem like "Show me 5 rows of 2" and you build or draw it.

You're on your way to becoming a multiplication master! ๐ŸŒŸ

Practice problems

6 of the 88, worked through step by step โ€” try them before opening the answer.

1 An array has 4 rows and 6 columns. How many total?

Hint: Think about counting equal groups. How many items are in each row?

Show the answer

Answer: 24

  1. The array has 4 rows.
  2. Each row has 6 columns, so each row has 6 items.
  3. To find the total, add the number of items in each row: 6 + 6 + 6 + 6
  4. 6 + 6 = 12, then 12 + 6 = 18, then 18 + 6 = 24

The answer is 24.

2 This array has 4 rows and 6 columns. How many total?

Hint: Think about counting equal groups. How many items are in each row?

Show the answer

Answer: 24

  1. The array has 4 rows.
  2. Each row has 6 columns, so there are 6 items in each row.
  3. To find the total, add 6 + 6 + 6 + 6.
  4. 6 + 6 = 12, 12 + 6 = 18, 18 + 6 = 24.

The answer is 24.

3 This array has 5 rows and 7 columns. How many total?

Hint: Think about counting equal groups. How many items are in each row?

Show the answer

Answer: 35

  1. The array has 5 rows.
  2. Each row has 7 columns, so there are 7 items in each row.
  3. To find the total, add the number of items in each row: 7 + 7 + 7 + 7 + 7.
  4. 7 + 7 = 14, 14 + 7 = 21, 21 + 7 = 28, 28 + 7 = 35.

The answer is 35.

4 This array has 7 rows and 8 columns. How many total?

Hint: Think about counting equal groups. How many items are in each row?

Show the answer

Answer: 56

  1. The array has 7 rows.
  2. Each row has 8 columns, so each row has 8 items.
  3. To find the total, add the number of items in each row: 8 + 8 + 8 + 8 + 8 + 8 + 8
  4. 8 + 8 = 16, then 16 + 8 = 24, then 24 + 8 = 32, then 32 + 8 = 40, then 40 + 8 = 48, then 48 + 8 = 56

The answer is 56.

5 This array has 6 rows and 7 columns. How many total?

Hint: Think about counting equal groups. How many items are in each row?

Show the answer

Answer: 42

  1. The array has 6 rows.
  2. Each row has 7 columns, so each row has 7 items.
  3. To find the total, add the number of items in each row: 7 + 7 + 7 + 7 + 7 + 7
  4. 7 + 7 = 14, then 14 + 7 = 21, then 21 + 7 = 28, then 28 + 7 = 35, then 35 + 7 = 42

The answer is 42.

6 This array has 6 rows and 4 columns. How many total?

Hint: Think about counting equal groups. How many items are in each row?

Show the answer

Answer: 24

  1. The array has 6 rows.
  2. Each row has 4 columns, so there are 4 items in each row.
  3. To find the total, add the number of items in each row: 4 + 4 + 4 + 4 + 4 + 4.
  4. 4 + 4 = 8, 8 + 4 = 12, 12 + 4 = 16, 16 + 4 = 20, 20 + 4 = 24.

The answer is 24.

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