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Tiling Squares to make Arrays


Videos and solutions to help Grade 3 students learn how to form rectangles by tiling with unit squares to make arrays.

Common Core Standards: 3.MD.5, 3.MD.6, 3.MD.7a, 3.MD.7b, 3.MD.7d

Related Topics:
Lesson Plans and Worksheets for Grade 3

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 3

Common Core For Grade 3

New York State Common Core Math Module 4, Grade 3, Lesson 5

Application Problem

Candice uses square-centimeter tiles to find the side lengths of a rectangle as shown. She says the side lengths are 5 centimeters and 7 centimeters. Her partner, Luis uses a ruler to check Candice’s work and says that the side lengths are 5 centimeters and 6 centimeters. Who is right? How do you know?

Note: This problem reviews G3–M4–Lesson 4, specifically the relationship between the number of tiles and the side length.

Concept Development

Concrete: Understand the relationship between side lengths and area.
Concrete/Pictorial: Form rectangles and determine area or side lengths by drawing to make arrays.

Lesson 5 Homework

1. Use the centimeter side of a ruler to draw in the tiles, then skip-count to find the unknown side length or area. Write a multiplication sentence for each tiled rectangle.
2. Ally makes a rectangle with 45 square-inch tiles. She arranges the tiles in 5 equal rows. How many square-inch tiles are in each row? Use words, pictures, and numbers to support your answer.

Lesson 5 Homework

3. Leon makes a rectangle with 36 square-centimeter tiles. There are 4 equal rows of tiles.
a. How many tiles are in each row? Use words, pictures, and numbers to support your answer.
b. Can Leon arrange all of his 36 square-centimeter tiles into 6 equal rows? Use words, pictures, and numbers to support your answer.
c. Do the rectangles in (a) and (b) have the same total area? Explain how you know.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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