NY Next Generation Math NY-3.MD.7.b
The Standard
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 whole-number products as rectangular areas in mathematical reasoning.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students multiply whole-number side lengths to find rectangle areas in real and mathematical problems. They use rectangles to represent whole-number products.
What Mastery Looks Like
- A student finds the area of a 9-foot by 4-foot garden as 36 square feet. The student draws a matching rectangle and explains what each factor represents.
Common Misconceptions
- Students may add side lengths or use perimeter units. They may reverse a dimension's label or draw an array that does not match the factors.
How to Assess It
- Present a rectangular rug 8 feet long and 5 feet wide. Ask for its area, a labeled model, and an explanation of the product.
Lesson moves
Ways to Teach It
Draw rectangles for multiplication facts, label side lengths, and shade the represented whole-number product as area.
Ask students how 6 × 7 can be represented as a rectangular area.
Play area-story match with dimensions, rectangles, products, and square-unit answers.
Calculate the area of a garden, rug, or poster with whole-number side lengths.
Free download
Printable NY-3.MD.7.b Worksheet
A ready-to-print activity worksheet aligned to NY-3.MD.7.b, 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-3.MD.7.a
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.
- NY-3.MD.7.d
Recognize area as additive. Find areas of figures composed of non-overlapping rectangles, and apply this technique to solve real world problems.
- 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 ...
- NY-4.MD.3
Apply the area and perimeter formulas for rectangles in real world and mathematical problems.
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