CCSS.Math.Content.3.MD.C.5b
The Standard
A plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units.
Common Core State Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students cover a flat shape with equal-sized unit squares, leaving no gaps or overlaps. They count the squares and report the area in square units.
What Mastery Looks Like
- Students tile a figure completely with equal-sized squares and count each square once. They state the area with the correct square unit.
Common Misconceptions
- Students may leave gaps, overlap tiles, or use squares of different sizes. They may count side lengths instead of counting the squares covering the figure.
How to Assess It
- Give students a 3-by-4 grid rectangle. Ask, "What is its area, and why is your answer written in square units?"
Lesson moves
Ways to Teach It
Give pairs paper shapes and one-inch tiles, then have them cover each shape without gaps or overlaps and record its area.
Ask students to explain in writing why overlapping tiles cannot give an accurate area measurement.
Play Area Cover-Up, where students draw a shape card, tile it, and earn a point for naming the correct area.
Measure a desktop by covering a paper model with equal-sized sticky notes, then report the area in sticky-note squares.
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Printable 3.MD.C.5b Worksheet
A ready-to-print activity worksheet aligned to CCSS.Math.Content.3.MD.C.5b, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetLearning progression
Where This Standard Sits
Before This Standard
If students are struggling here, check these first.
- CCSS.Math.Content.3.MD.C.5a
Students must understand one unit square as one area unit before counting unit squares to name a figure’s area.
- CCSS.Math.Content.2.G.A.2
Counting equal squares in a tiled rectangle prepares students to see area as the number of unit squares covering a figure.
- CCSS.Math.Content.1.MD.A.2
Counting equal units with no gaps or overlaps in length supports understanding area as counting unit squares covering a figure.
What This Unlocks
Mastery here sets students up for these next.
- CCSS.Math.Content.3.MD.C.7a
Students must understand area as the count of unit squares before tiling rectangles and linking the count to multiplication.
- CCSS.Math.Content.3.MD.C.6
Counting unit squares to measure area depends on knowing that a gapless, nonoverlapping unit-square cover gives square units.
- CCSS.Math.Content.5.MD.C.3b
Counting unit squares to measure area supports counting unit cubes to measure volume without gaps or overlaps.
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