CH06-07 lesson

Area by Multiplying Side Lengths Learning Activity

A focused Grade 3 learning session for Area by Multiplying Side Lengths using visual models, worked examples, strategy guidance, and a short mastery check.

15
minutes
6
lesson parts
11
practice items
Learning goal

Students will find the area of a rectangle by multiplying whole-number side lengths.

Student goal: I can multiply side lengths to find the area of a rectangle.

concept

Learn the Idea

Area by Multiplying Side Lengths 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: A rectangular rug is \(6\) meters long and \(4\) meters wide. What is the area of the rug?

Grade 3 Area by Multiplying Side Lengths figure 1

  • A. \(10\) sq m
  • B. \(24\) sq m
  • C. \(20\) sq m
  • D. \(12\) sq m

Why it works: Area \(=\) length \(\times\) width \(=6\times4=24\) square meters. Choice A (10) is the sum; C (20) is 4×5 miscomputation; D (12) is 6×2.

Answer: \(24\) sq m

worked example

Follow a Worked Example

Example 1

Question: Find the area of the rectangle shown above.

Grade 3 Area by Multiplying Side Lengths figure 3

  • A. \(6\) sq cm
  • B. \(8\) sq cm
  • C. \(4\) sq cm
  • D. \(12\) sq cm
  1. Area \(=\) length \(\times\) width \(=4\times2=8\) square centimeters.
  2. Choice A (6) is the sum; C (4) is one dimension; D (12) is \(4\times3\).

Answer: \(8\) sq cm

Example 2

Question: Lily is building a sandbox for her backyard. The sandbox is \(8\) feet long and \(6\) feet wide. What is the area of the sandbox?

Grade 3 Area by Multiplying Side Lengths figure 4

  • A. \(48\) sq ft
  • B. \(28\) sq ft
  • C. \(14\) sq ft
  • D. \(56\) sq ft
  1. Area \(=\) length \(\times\) width \(=8\times6=48\) square feet.

Answer: \(48\) sq ft

real world

Connect It to a Real Situation

Problem 1

Question: A garden is \(7\) feet long and \(5\) feet wide. What is its area?

  • A. \(12\) sq ft
  • B. \(35\) sq ft
  • C. \(24\) sq ft
  • D. \(70\) sq ft

Why it works: Area \(=\) length \(\times\) width \(=7\times5=35\) square feet. Choice A (12) is the sum \(7+5\); Choice C (24) is common product error; Choice D (70) is double the area.

Answer: \(35\) sq ft

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

Area by Multiplying Side Lengths 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-T07-Q001 About 1 min

A garden is \(7\) feet long and \(5\) feet wide. What is its area?

  1. A \(12\) sq ft
  2. B \(35\) sq ft
  3. C \(24\) sq ft
  4. D \(70\) sq ft
Check answer and explanation

Answer B: \(35\) sq ft

Area \(=\) length \(\times\) width \(=7\times5=35\) square feet. Choice A (12) is the sum \(7+5\); Choice C (24) is common product error; Choice D (70) is double the area.

G3-C06-T07-Q002 About 1 min

A rectangular rug is \(6\) meters long and \(4\) meters wide. What is the area of the rug?

Area by Multiplying Side Lengths visual for G3-C06-T07-Q002
  1. A \(10\) sq m
  2. B \(24\) sq m
  3. C \(20\) sq m
  4. D \(12\) sq m
Check answer and explanation

Answer B: \(24\) sq m

Area \(=\) length \(\times\) width \(=6\times4=24\) square meters. Choice A (10) is the sum; C (20) is 4×5 miscomputation; D (12) is 6×2.

guided

1 question
G3-C06-T07-Q003 About 1 min

A classroom floor is shaped like a rectangle with a length of \(9\) feet and a width of \(8\) feet. What is the area of the classroom floor?

  1. A \(17\) sq ft
  2. B \(72\) sq ft
  3. C \(64\) sq ft
  4. D \(63\) sq ft
Check answer and explanation

Answer B: \(72\) sq ft

Area \(=\) length \(\times\) width \(=9\times8=72\) square feet. Choice A (17) is the sum; C (64) is \(8\times8\); D (63) is \(9\times7\).

practice

5 questions
G3-C06-T07-Q004 About 1 min

What is the area of this rectangle?

Area by Multiplying Side Lengths visual for G3-C06-T07-Q004
  1. A \(8\) sq in
  2. B \(15\) sq in
  3. C \(10\) sq in
  4. D \(12\) sq in
Check answer and explanation

Answer B: \(15\) sq in

Area \(=\) length \(\times\) width \(=5\times3=15\) square inches. Choice A (8) is the sum; C (10) is \(5\times2\); D (12) is \(4\times3\).

G3-C06-T07-Q005 About 1 min

Sam needs to paint a poster that is \(10\) inches wide and \(8\) inches tall. What is the total area Sam needs to paint?

  1. A \(36\) sq in
  2. B \(80\) sq in
  3. C \(18\) sq in
  4. D \(90\) sq in
Check answer and explanation

Answer B: \(80\) sq in

Area \(=\) width \(\times\) height \(=10\times8=80\) square inches.

G3-C06-T07-Q006 About 1 min

Find the area of the rectangle shown above.

Area by Multiplying Side Lengths visual for G3-C06-T07-Q006
  1. A \(6\) sq cm
  2. B \(8\) sq cm
  3. C \(4\) sq cm
  4. D \(12\) sq cm
Check answer and explanation

Answer B: \(8\) sq cm

Area \(=\) length \(\times\) width \(=4\times2=8\) square centimeters. Choice A (6) is the sum; C (4) is one dimension; D (12) is \(4\times3\).

G3-C06-T07-Q007 About 1 min

A rectangular tile is \(7\) inches long and \(3\) inches wide. How much area does one tile cover?

  1. A \(20\) sq in
  2. B \(28\) sq in
  3. C \(21\) sq in
  4. D \(10\) sq in
Check answer and explanation

Answer C: \(21\) sq in

Area \(=\) length \(\times\) width \(=7\times3=21\) square inches.

G3-C06-T07-Q008 About 1 min

Lily is building a sandbox for her backyard. The sandbox is \(8\) feet long and \(6\) feet wide. What is the area of the sandbox?

Area by Multiplying Side Lengths visual for G3-C06-T07-Q008
  1. A \(48\) sq ft
  2. B \(28\) sq ft
  3. C \(14\) sq ft
  4. D \(56\) sq ft
Check answer and explanation

Answer A: \(48\) sq ft

Area \(=\) length \(\times\) width \(=8\times6=48\) square feet.

exit

3 questions
G3-C06-T07-Q009 About 1 min

A rectangular parking spot measures \(6\) meters by \(4\) meters. What is its area?

Area by Multiplying Side Lengths visual for G3-C06-T07-Q009
  1. A \(10\) sq m
  2. B \(20\) sq m
  3. C \(12\) sq m
  4. D \(24\) sq m
Check answer and explanation

Answer D: \(24\) sq m

Area \(=\) length \(\times\) width \(=6\times4=24\) square meters.

G3-C06-T07-Q010 About 1 min

Noah is making a rectangular picture frame. The frame is \(9\) inches wide and \(7\) inches tall. What is the area inside the frame?

  1. A \(32\) sq in
  2. B \(56\) sq in
  3. C \(16\) sq in
  4. D \(63\) sq in
Check answer and explanation

Answer D: \(63\) sq in

Area \(=\) width \(\times\) height \(=9\times7=63\) square inches.

G3-C06-T07-Q011 About 1 min

What is the area of the rectangle shown?

Area by Multiplying Side Lengths visual for G3-C06-T07-Q011
  1. A \(7\) sq cm
  2. B \(14\) sq cm
  3. C \(12\) sq cm
  4. D \(10\) sq cm
Check answer and explanation

Answer D: \(10\) sq cm

Area \(=\) length \(\times\) width \(=5\times2=10\) square centimeters.

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