Curriculum / Math / 3rd Grade / Unit 5: Shapes and Their Perimeter / Lesson 14
Math
Unit 5
3rd Grade
Lesson 14 of 16
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Lesson Notes
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Find rectangles with the same perimeter and different areas.
The core standards covered in this lesson
3.MD.D.8 — Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.
The foundational standards covered in this lesson
3.MD.C.5 — Recognize area as an attribute of plane figures and understand concepts of area measurement.
3.MD.C.6 — Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).
3.MD.C.7 — Relate area to the operations of multiplication and addition.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
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Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
25-30 minutes
a. Create as many rectangles as you can with a perimeter of 16 units. Find the area of each rectangle that you found. Then record the length, width, perimeter, and area of each rectangle in the table below:
b. What do you notice about the rectangles you created? What do you wonder?
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Grade 3 Mathematics > Module 7 > Topic D > Lesson 21 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Grade 3 Mathematics > Module 7 > Topic D > Lesson 22 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Grade 3 Mathematics > Module 7 > Topic D > Lesson 20 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
What is the greatest area you can make with a rectangle that has a perimeter of 20 units?
Rectangles: Maximizing Area by is made available on Open Middle under the CC BY-NC-SA 4.0 license. Accessed Feb. 10, 2019, 5:14 p.m..
15-20 minutes
Problem Set
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
Use the rectangle shown below to answer the question.
A new rectangle has the same perimeter but a greater area than the rectangle above. Find the length and width of the new rectangle.
The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.
Extra Practice Problems
Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.
Next
Solve a variety of word problems involving area and perimeter.
Topic A: Attributes of Two-Dimensional Shapes
Compare and classify polygons.
Standards
3.G.A.1
Compare and classify quadrilaterals.
Draw shapes with specified attributes.
Reason about composing and decomposing polygons using tangrams.
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Topic B: Understanding Perimeter
Understand perimeter to be the boundary around a two-dimensional shape. Compare perimeters of various polygons using concrete non-standard units.
3.MD.D.8
Find perimeter of polygons whose sides are marked with unit length marks by counting the unit lengths.
Find perimeter of shapes with all side lengths labeled.
Find perimeter by measuring side lengths in whole number units.
Find perimeter of regular polygons and of rectangles when some side lengths are not given.
Solve word problems involving finding perimeter given the side lengths.
Find side lengths of regular polygons and of rectangles when given perimeter and other side lengths.
Solve more complex word problems involving perimeter, such as finding a missing side length given perimeter and other side lengths.
Topic C: Distinguishing Between Area and Perimeter
Find rectangles with the same area and different perimeters.
Reason about composing and decomposing polygons with various areas and perimeters using tetrominoes.
3.G.A.13.MD.D.8
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