Lesson 12 Partition Rectangles Into Squares
Let’s partition rectangles into squares.
Warm-up Estimation Exploration: Fill it Up
How many little squares would fill the rectangle?
Record an estimate that is:
too low | about right | too high |
---|---|---|
Activity 1 How Many Squares?
Problem 1
Build a rectangle with 8 tiles arranged in 2 rows. Use a ruler to partition the rectangle to match the rectangle you made.
Problem 2
Use a ruler to partition the rectangle using the tick marks as a guide.
How many rows of equal-size squares did you make?
How many columns did you make?
Write 2 equations to represent the total number of equal-size squares.
Problem 3
Use a ruler to partition the rectangle using the tick marks as a guide.
How many rows of equal-size squares did you make?
How many columns did you make?
Write 2 equations to represent the total number of equal-size squares.
Activity 2 Partition Rectangles
Problem 1
Use 12 tiles to make a rectangle. Split one of the rectangles into equal-size squares to match your rectangle made of tiles.
Write 2 equations to represent the total number of squares.
Problem 2
Split this rectangle into equal-size squares.
Write 2 equations to represent the total number of squares.
Problem 3
Split this rectangle into equal-size squares.
Write 2 equations to represent the total number of squares.
Practice Problem
Problem 1
Split the rectangle into equal-size squares.
Write 2 equations that represent the number of squares in the array.