Grade 3 · Measurement & Data · MAT-03-MD-009
Measure Area with Square Units
Represent measure area with square units with words, symbols, diagrams, or models appropriate to Grade 3.
Learning objectives
What you should be able to do
- Represent measure area with square units with words, symbols, diagrams, or models appropriate to Grade 3.
- Solve problems involving measure area with square units accurately and explain why the method works.
- Check results for reasonableness using a second representation, inverse relationship, benchmark, or property when appropriate.
Prerequisite check
Make sure the foundation is ready.
Checks conceptual readiness before new Grade 3 reasoning.
Checks whether prior skills are available for use, not only recalled by name.
Learn
Build the idea from meaning, not memorization.
Meaning of Measure Area with Square Units
Area measures the amount of two-dimensional surface inside a boundary using equal square units.
A reliable reasoning strategy
Cover a region with unit squares without gaps or overlaps, then count the squares.
Representations that should agree
Rows and columns of square units lead directly to multiplication as an efficient area method. A correct model, equation, verbal explanation, or diagram should preserve the same quantities and relationships.
How to check the result
Check whether the answer fits the quantities, units, and structure of the problem. Use a second representation or inverse relationship when available, and explain what would make an answer unreasonable.
Interactive math lab
Change it. See what stays true.
Geometry Explorer
- build a model
- change one quantity
- predict before calculating
- explain why the result changes
Worked examples
Twenty different ways to see the concept work.
A rectangle is 3 units by 5 units. What is its area?
3 × 5 = 15The rectangle has equal rows and columns of unit squares.
A rectangle is 4 units by 8 units. What is its area?
4 × 8 = 32The rectangle has equal rows and columns of unit squares.
A rectangle is 5 units by 4 units. What is its area?
5 × 4 = 20The rectangle has equal rows and columns of unit squares.
A rectangle is 6 units by 7 units. What is its area?
6 × 7 = 42The rectangle has equal rows and columns of unit squares.
A rectangle is 7 units by 3 units. What is its area?
7 × 3 = 21The rectangle has equal rows and columns of unit squares.
A rectangle is 8 units by 6 units. What is its area?
8 × 6 = 48The rectangle has equal rows and columns of unit squares.
A rectangle is 9 units by 2 units. What is its area?
9 × 2 = 18The rectangle has equal rows and columns of unit squares.
A rectangle is 2 units by 5 units. What is its area?
2 × 5 = 10The rectangle has equal rows and columns of unit squares.
A rectangle is 3 units by 8 units. What is its area?
3 × 8 = 24The rectangle has equal rows and columns of unit squares.
A rectangle is 4 units by 4 units. What is its area?
4 × 4 = 16The rectangle has equal rows and columns of unit squares.
A rectangle is 5 units by 7 units. What is its area?
5 × 7 = 35The rectangle has equal rows and columns of unit squares.
A rectangle is 6 units by 3 units. What is its area?
6 × 3 = 18The rectangle has equal rows and columns of unit squares.
A rectangle is 7 units by 6 units. What is its area?
7 × 6 = 42The rectangle has equal rows and columns of unit squares.
A rectangle is 8 units by 2 units. What is its area?
8 × 2 = 16The rectangle has equal rows and columns of unit squares.
A rectangle is 9 units by 5 units. What is its area?
9 × 5 = 45The rectangle has equal rows and columns of unit squares.
A rectangle is 2 units by 8 units. What is its area?
2 × 8 = 16The rectangle has equal rows and columns of unit squares.
A rectangle is 3 units by 4 units. What is its area?
3 × 4 = 12The rectangle has equal rows and columns of unit squares.
A rectangle is 4 units by 7 units. What is its area?
4 × 7 = 28The rectangle has equal rows and columns of unit squares.
A rectangle is 5 units by 3 units. What is its area?
5 × 3 = 15The rectangle has equal rows and columns of unit squares.
A rectangle is 6 units by 6 units. What is its area?
6 × 6 = 36The rectangle has equal rows and columns of unit squares.
Practice
Guided practice with hints
01A rectangle is 9 units by 4 units. What is its area?
Hint: Cover a region with unit squares without gaps or overlaps, then count the squares.
Answer: 36 square units
02A rectangle is 2 units by 7 units. What is its area?
Hint: Cover a region with unit squares without gaps or overlaps, then count the squares.
Answer: 14 square units
03A rectangle is 3 units by 3 units. What is its area?
Hint: Cover a region with unit squares without gaps or overlaps, then count the squares.
Answer: 9 square units
04A rectangle is 4 units by 6 units. What is its area?
Hint: Cover a region with unit squares without gaps or overlaps, then count the squares.
Answer: 24 square units
05A rectangle is 5 units by 2 units. What is its area?
Hint: Cover a region with unit squares without gaps or overlaps, then count the squares.
Answer: 10 square units
06A rectangle is 6 units by 5 units. What is its area?
Hint: Cover a region with unit squares without gaps or overlaps, then count the squares.
Answer: 30 square units
Practice
Independent practice
01A rectangle is 5 units by 8 units. What is its area?
Answer: 40 square units
02A rectangle is 6 units by 4 units. What is its area?
Answer: 24 square units
03A rectangle is 7 units by 7 units. What is its area?
Answer: 49 square units
04A rectangle is 8 units by 3 units. What is its area?
Answer: 24 square units
05A rectangle is 9 units by 6 units. What is its area?
Answer: 54 square units
06A rectangle is 2 units by 2 units. What is its area?
Answer: 4 square units
07A rectangle is 3 units by 5 units. What is its area?
Answer: 15 square units
08A rectangle is 4 units by 8 units. What is its area?
Answer: 32 square units
Common mistakes
Learn to catch the error, not just the answer.
Check that the units tile the interior and are square units.
Reconnect the answer to measure area with square units and verify that the model, calculation, and label describe the same quantity.
Applications & challenge
Use the idea beyond a single exercise.
Applications
- Measure floors, paper, screens, and rectangular surfaces.
- Use measure area with square units to interpret or solve a Grade 3 situation with quantities, diagrams, measurements, or data.
Challenge problems
A rectangle is 9 units by 5 units. What is its area?
45 square units
A rectangle is 2 units by 8 units. What is its area?
16 square units
A rectangle is 3 units by 4 units. What is its area?
12 square units
A rectangle is 4 units by 7 units. What is its area?
28 square units
Flashcards
Retrieve it from memory.
Flashcards
Card 1 of 4
Game mode
Measure Area with Square Units Challenge
Solve and explain Grade 3 problems involving measure area with square units without relying on answer guessing.
Practice
Mastery check
01A rectangle is 5 units by 2 units. What is its area?
Answer: 10 square units
02A rectangle is 6 units by 5 units. What is its area?
Answer: 30 square units
03A rectangle is 7 units by 8 units. What is its area?
Answer: 56 square units
04A rectangle is 8 units by 4 units. What is its area?
Answer: 32 square units
05A rectangle is 9 units by 7 units. What is its area?
Answer: 63 square units
06A rectangle is 2 units by 3 units. What is its area?
Answer: 6 square units
07A rectangle is 3 units by 6 units. What is its area?
Answer: 18 square units
08A rectangle is 4 units by 2 units. What is its area?
Answer: 8 square units
Terminology
Words to know
- area
- The amount of two-dimensional space inside a region.
- square unit
- A unit square used to measure area.
Continue learning
Connected concepts
Curriculum references
Standards and instructional references
California Common Core State Standards for Mathematics — Grade 3, 3.MD.5-6
Primary standards alignment for Measure Area with Square Units.2023 Mathematics Framework for California Public Schools
Instructional emphasis on reasoning, representations, problem solving, and equitable access.