NY Next Generation Math NY-3.MD.7.a
The Standard
Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students tile rectangles with unit squares and connect the total tile count to multiplying whole-number side lengths. They explain why rows times columns gives the same area.
What Mastery Looks Like
- A student tiles a 4-by-6 rectangle with 24 unit squares and writes 4 × 6 = 24 square units. The model has no gaps or overlaps.
Common Misconceptions
- Students may count grid lines, add side lengths, or tile with unequal units. They may multiply correctly but omit the connection to rows and columns.
How to Assess It
- Give students a 5-by-7 rectangle and unit tiles. Ask them to find the area by tiling and multiplication and explain why the results match.
Lesson moves
Ways to Teach It
Tile whole-number rectangles, record rows and columns, and write the matching multiplication equation and square-unit area.
Ask students why a 3-by-8 tiled rectangle contains 24 squares without counting each one.
Play tile-to-equation match with rectangular arrays, side lengths, products, and area labels.
Find the area of a rectangular tabletop by modeling whole-number rows and columns of square units.
Free download
Printable NY-3.MD.7.a Worksheet
A ready-to-print activity worksheet aligned to NY-3.MD.7.a, 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 worksheetKeep exploring
Related Standards
- NY-5.MD.5.a
Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be foun...
- NY-3.MD.7.b
Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real world and mathematical problems, and represent w...
- NY-3.MD.7.c
Use tiling to show in a concrete case that the area of a rectangle with whole-number side length a and side length b + c is the sum of a × b and a × c. Use area...
- NY-5.NF.4.b
Find the area of a rectangle with fractional side lengths by tiling it with rectangles of the appropriate unit fraction side lengths, and show that the area is ...
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.
Also for this standard:Make a WorksheetMake a QuizMake a Sub Lesson