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Grade 3 Mathematics Module 7, Topic E: Problem Solving With Perimeter and Area

Classroom Resource Information

Title:

Grade 3 Mathematics Module 7, Topic E: Problem Solving With Perimeter and Area

URL:

https://www.engageny.org/resource/grade-3-mathematics-module-7-topic-e-overview

Content Source:

EngageNY

Type:

Lesson/Unit Plan

Overview:

In Topic E, students solve problems involving area and perimeter. After an initial lesson problem solving with perimeter, students apply this knowledge to create a robot composed of rectangles. Given specific perimeter measurements, they reason about the different side lengths that may be produced. Students compare and analyze their work, discussing how different choices for side lengths can affect area while conforming to the criteria for perimeter. Students synthesize their learning in the final lessons through solving word problems involving area and perimeter using all four operations.

Content Standard(s):

Mathematics
MA2019 (2019)
Grade: 3

24. Construct rectangles with the same perimeter and different areas or the same area and different perimeters.

Unpacked Content

Evidence Of Student Attainment:

Students:

Identify rectangles with the same perimeter and different areas or the same area and different perimeters.
Construct rectangles with the same perimeter and different areas or the same area and different perimeters.

Teacher Vocabulary:

Perimeter
Area
Side length
Side measure

Knowledge:

Students know:

Perimeter is a measurable attribute of rectangles.
Area is a measurable attribute of rectangles.

Skills:

Students are able to:

Construct rectangles with a given perimeter.
Construct rectangles with a given area.
Construct rectangles with the same perimeters but differing areas.
Construct rectangles with the same areas but differing perimeters.

Understanding:

Students understand that:

Perimeter and area are measurable attributes of rectangles.
Perimeter is the distance around a figure found by adding side lengths.
The area of a plane figure is measured by the number of square units that cover the interior space of the rectangle.

Diverse Learning Needs:

Essential Skills:

Learning Objectives:
M.3.24.1: Define perimeter.
M.3.24.2: Recall the formula for perimeter (P= L+L+W+W or P=2L + 2W).
M.3.24.3: Recall basic addition and multiplication facts.
M.3.24.4: Build and draw shapes to possess defining attributes.
M.3.24.5: Express the length of an object as a whole number of length units by laying multiple copies of a shorter object (the length unit) end to end; understand that the length measurement of an object is the number of same-size length units that span it with no gaps or overlaps.
M.3.24.6: Describe measurable attributes of objects such as length or weight.

Prior Knowledge Skills:

Recall doubles addition facts.
Model written method for composing equations.

Alabama Alternate Achievement Standards

AAS Standard:
M.AAS.3.20 Find the area of a given shape using arrays (unit cubes and tiles) in relationship to multiplication. Limit units to 25.

Mathematics
MA2019 (2019)
Grade: 3

25. Solve real-world problems involving perimeters of polygons, including finding the perimeter given the side lengths and finding an unknown side length of rectangles.

Unpacked Content

Evidence Of Student Attainment:

Students:

Measure to find the perimeter of shapes.
Given a figure, determine the perimeter of the figure.
Given a figure with a missing side length and a given perimeter, determine the missing side length.
Solve real-world problems involving perimeters of polygons.
Use a multiplication expression to find perimeter of a polygon when all side measures of the polygon are equal.

Teacher Vocabulary:

Attribute
Dimension
Perimeter
Polygon
Two-dimensional

Knowledge:

Students know:

Measurable attributes of objects, specifically perimeter.
Strategies for modeling measurement problems involving perimeter.
Strategies for representing and computing perimeter.

Skills:

The Students are able to:

Solve real-world and mathematical problems involving perimeters of polygons.
Find the perimeter of a figure given the side lengths.
Find an unknown side length of a polygon given the perimeter and one missing side length.

Understanding:

Students understand that:

Perimeter is measured in length units and is the distance around a two-dimensional figure.
If all the sides of a polygon are equal, then the perimeter can be determined by multiplying one side length by the total number of sides.

Diverse Learning Needs:

Essential Skills:

Learning Objectives:
M.3.25.1: Define perimeter.
M.3.25.2: Recall the formula for perimeter (P= L+L+W+W or P=2L + 2W).
M.3.25.3: Recall basic addition and multiplication facts.
M. 3.23.4: Build and draw shapes to possess defining attributes.
M.3.25.4: Express the length of an object as a whole number of length units by laying multiple copies of a shorter object (the length unit) end to end; understand that the length measurement of an object is the number of same-size length units that span it with no gaps or overlaps.
M.3.25.5: Describe measurable attributes of objects such as length or weight.

Prior Knowledge Skills:

Recall doubles addition facts.
Model written method for composing equations.

Alabama Alternate Achievement Standards

AAS Standard:
M.AAS.3.20 Find the area of a given shape using arrays (unit cubes and tiles) in relationship to multiplication. Limit units to 25.

Tags:

area, perimeter, polygon, realworld, rectangle, side length, unknown side length

License Type:

Custom Permission Type
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Accessibility

Text Resources: Content is organized under headings and subheadings

Comments

There are eight lessons in this topic.

This resource is free for teachers to access and use. All resources required for the lessons are available to print from the site.

This resource provided by:

Author:

Hannah Bradley

ALEX Classroom Resource

Grade 3 Mathematics Module 7, Topic E: Problem Solving With Perimeter and Area