CH06-02 lesson

Unit Squares Learning Activity

A focused Grade 3 learning session for Unit Squares using visual models, worked examples, strategy guidance, and a short mastery check.

15
minutes
6
lesson parts
11
practice items
Learning goal

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

Student goal: I can use unit squares to describe area.

concept

Learn the Idea

Unit Squares means measuring how much flat space a figure covers by using equal-sized square units.

  • Use square units that cover the figure without gaps or overlaps.
  • Count rows and columns when the unit squares are arranged in an array.
  • Connect repeated addition to multiplication when finding area.
  • Break complex figures into smaller rectangles when that makes the work clearer.
visual model

See the Math

Visual Model 1

Question: How many unit squares cover this rectangle with no gaps or overlaps?

Grade 3 Unit Squares figure 1

  • A. 4 unit squares
  • B. 6 unit squares
  • C. 8 unit squares
  • D. 10 unit squares

Why it works: 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.

Answer: 8 unit squares

worked example

Follow a Worked Example

Example 1

Question: A unit square has side length \(1\) cm. What is the area of this unit square?

Grade 3 Unit Squares figure 3

  • A. 1 centimeter
  • B. 2 square centimeters
  • C. 1 square centimeter
  • D. 4 square centimeters
  1. A unit square with side length 1 cm has area \(1 \text{ cm} \times 1 \text{ cm} = 1 \text{ cm}^2\).

Answer: 1 square centimeter

Example 2

Question: How many unit squares (each 1 inch by 1 inch) cover a rectangle that is 5 inches long and 3 inches wide?

Grade 3 Unit Squares figure 4

  • A. 8 unit squares
  • B. 12 unit squares
  • C. 15 unit squares
  • D. 20 unit squares
  1. Length times width: \(5 \times 3 = 15\) unit squares of 1 inch by 1 inch.

Answer: 15 unit squares

real world

Connect It to a Real Situation

Problem 1

Question: The grid shows a shape made of unit squares measured in feet. How many unit squares fit in this shape?

Grade 3 Unit Squares figure 6

  • A. 3 unit squares
  • B. 5 unit squares
  • C. 6 unit squares
  • D. 8 unit squares

Why it works: The rectangle is 2 feet wide and 3 feet tall: \(2 \times 3 = 6\) unit squares.

Answer: 6 unit squares

strategy

Avoid Mistakes and Choose a Strategy

  • Counting only the outside squares instead of all squares inside the figure.
  • Leaving gaps or overlaps when using unit squares.
  • Multiplying side lengths before checking whether the figure is a rectangle.
  • Forgetting to write square units with an area answer.
  • Trace the rectangle or figure before counting.
  • Use rows and columns to organize unit squares.
  • Write an equation after the model makes sense.
  • Check whether the answer needs square units.
summary

Remember the Key Idea

Unit Squares becomes easier when students connect the question to a model, use clear steps, and explain why the answer fits.

GOLDEN RULE

Area means every square unit inside the figure.

Guided to independent practice

Solve before opening the answer

Use scratch paper. The explanation matters more than simply seeing whether the choice is correct.

warmup

2 questions
G3-C06-T02-Q001 About 1 min

What is a "unit square"?

  1. A A square with side length \(1\) unit, used to cover and measure area with no gaps or overlaps
  2. B Any square of any size
  3. C A square drawn on a number line
  4. D A rectangle that is \(2\) units by \(1\) unit
Check answer and explanation

Answer 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.

G3-C06-T02-Q002 About 1 min

How many unit squares cover this rectangle with no gaps or overlaps?

Unit Squares visual for G3-C06-T02-Q002
  1. A 4 unit squares
  2. B 6 unit squares
  3. C 8 unit squares
  4. D 10 unit squares
Check answer and explanation

Answer 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.

guided

1 question
G3-C06-T02-Q003 About 1 min

Which shape is made of exactly 6 unit squares?

Unit Squares visual for G3-C06-T02-Q003
  1. A Option A
  2. B Option B
  3. C Option C
  4. D Option D
Check answer and explanation

Answer 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 \(5\).

practice

5 questions
G3-C06-T02-Q004 About 1 min

A unit square has side length \(1\) cm. What is the area of this unit square?

Unit Squares visual for G3-C06-T02-Q004
  1. A 1 centimeter
  2. B 2 square centimeters
  3. C 1 square centimeter
  4. D 4 square centimeters
Check answer and explanation

Answer C: 1 square centimeter

A unit square with side length 1 cm has area \(1 \text{ cm} \times 1 \text{ cm} = 1 \text{ cm}^2\).

G3-C06-T02-Q005 About 1 min

How many unit squares (each 1 inch by 1 inch) cover a rectangle that is 5 inches long and 3 inches wide?

Unit Squares visual for G3-C06-T02-Q005
  1. A 8 unit squares
  2. B 12 unit squares
  3. C 15 unit squares
  4. D 20 unit squares
Check answer and explanation

Answer C: 15 unit squares

Length times width: \(5 \times 3 = 15\) unit squares of 1 inch by 1 inch.

G3-C06-T02-Q006 About 1 min

Which measurement describes a unit square in inches?

Unit Squares visual for G3-C06-T02-Q006
  1. A Side length 2 inches, area 2 square inches
  2. B Side length 1 inch, area 1 square inch
  3. C Side length 1 inch, area 2 square inches
  4. D Side length 2 inches, area 4 square inches
Check answer and explanation

Answer 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.

G3-C06-T02-Q007 About 1 min

Ben counts unit squares to find the area of a shape. He counts 12 unit squares. What is the area?

Unit Squares visual for G3-C06-T02-Q007
  1. A 6 square units
  2. B 10 square units
  3. C 12 square units
  4. D 24 square units
Check answer and explanation

Answer C: 12 square units

If a shape covers 12 unit squares, the area is 12 square units.

G3-C06-T02-Q008 About 1 min

The grid shows a shape made of unit squares measured in feet. How many unit squares fit in this shape?

Unit Squares visual for G3-C06-T02-Q008
  1. A 3 unit squares
  2. B 5 unit squares
  3. C 6 unit squares
  4. D 8 unit squares
Check answer and explanation

Answer C: 6 unit squares

The rectangle is 2 feet wide and 3 feet tall: \(2 \times 3 = 6\) unit squares.

exit

3 questions
G3-C06-T02-Q009 About 1 min

Which is true about a unit square?

Unit Squares visual for G3-C06-T02-Q009
  1. A All sides are different lengths
  2. B All sides are 1 unit long and all angles are right angles
  3. C It has area equal to its perimeter
  4. D It can be any shape as long as area is 1
Check answer and explanation

Answer 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.

G3-C06-T02-Q010 About 1 min

Shape 1 has an area of 6 square units. Shape 2 has an area of 6 square units. Which statement is correct?

Unit Squares visual for G3-C06-T02-Q010
  1. A Shape 1 is larger
  2. B Shape 2 is larger
  3. C Both shapes have the same area
  4. D Shape 1 has no area
Check answer and explanation

Answer C: Both shapes have the same area

Both shapes are made of 6 unit squares, so both have area 6 square units, even though they have different dimensions.

G3-C06-T02-Q011 About 1 min

A unit square measured in meters has side length 1 m. What is the area?

Unit Squares visual for G3-C06-T02-Q011
  1. A 1 meter
  2. B 2 square meters
  3. C 1 square meter
  4. D 4 square meters
Check answer and explanation

Answer C: 1 square meter

A unit square with side 1 m has area \(1 \text{ m} \times 1 \text{ m} = 1 \text{ m}^2 = 1\) square meter.

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