Testinar Grade 3 math

Unit Squares

Students will use a unit square as the standard unit for measuring area.

CH06-02 Geometry and Measurement

Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

What is a "unit square"?
1. A square with side length \(1\) unit, used to cover and measure area with no gaps or overlaps
2. Any square of any size
3. A square drawn on a number line
4. A rectangle that is \(2\) units by \(1\) unit
How many unit squares cover this rectangle with no gaps or overlaps?
1. 4 unit squares
2. 6 unit squares
3. 8 unit squares
4. 10 unit squares
Which shape is made of exactly 6 unit squares?
1. Option A
2. Option B
3. Option C
4. Option D
A unit square has side length \(1\) cm. What is the area of this unit square?
1. 1 centimeter
2. 2 square centimeters
3. 1 square centimeter
4. 4 square centimeters
How many unit squares (each 1 inch by 1 inch) cover a rectangle that is 5 inches long and 3 inches wide?
1. 8 unit squares
2. 12 unit squares
3. 15 unit squares
4. 20 unit squares
Which measurement describes a unit square in inches?
1. Side length 2 inches, area 2 square inches
2. Side length 1 inch, area 1 square inch
3. Side length 1 inch, area 2 square inches
4. Side length 2 inches, area 4 square inches
Ben counts unit squares to find the area of a shape. He counts 12 unit squares. What is the area?
1. 6 square units
2. 10 square units
3. 12 square units
4. 24 square units
Which is true about a unit square?
1. All sides are different lengths
2. All sides are 1 unit long and all angles are right angles
3. It has area equal to its perimeter
4. It can be any shape as long as area is 1

Teacher and parent reference

Answer key and explanations

A. A square with side length \(1\) unit, used to cover and measure area with no gaps or overlaps
A unit square has sides \(1\) unit long. Multiple unit squares are arranged with no gaps or overlaps to measure the area of shapes, following CCSS 3.MD.C.5.b.
C. 8 unit squares
Count rows and columns: 4 units wide and 2 units tall equals \(4 \times 2 = 8\) unit squares covering the rectangle with no gaps or overlaps.
B. Option B
Option B is \(2 \times 3 = 6\) unit squares. Option A has \(3\) unit squares, Option C has \(4\), and Option D has \(5\).
C. 1 square centimeter
A unit square with side length 1 cm has area \(1 \text{ cm} \times 1 \text{ cm} = 1 \text{ cm}^2\).
C. 15 unit squares
Length times width: \(5 \times 3 = 15\) unit squares of 1 inch by 1 inch.
B. Side length 1 inch, area 1 square inch
A unit square always has a side length of 1 unit and area of 1 square unit, so 1 inch by 1 inch gives area 1 square inch.
C. 12 square units
If a shape covers 12 unit squares, the area is 12 square units.
B. All sides are 1 unit long and all angles are right angles
A unit square is defined as a square with side length exactly 1 unit, so all four sides are equal (1 unit each) and all four corners are right angles.