Curriculum / Math / 3rd Grade / Unit 4: Area / Lesson 6
Math
Unit 4
3rd Grade
Lesson 6 of 14
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Lesson Notes
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Find the area of a rectangle through multiplication of the side lengths.
The core standards covered in this lesson
3.MD.C.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.
3.MD.C.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 whole-number products as rectangular areas in mathematical reasoning.
The foundational standards covered in this lesson
2.G.A.2 — Partition a rectangle into rows and columns of same-size squares and count to find the total number of them.
2.MD.A.1 — Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes.
3.OA.C.7 — Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
As a supplement to the Problem Set, students can play “Raging Rectangles,” from Building Conceptual Understanding and Fluency Through Games (Grade 3) by the North Carolina Department of Public Instruction.
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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. The tick marks on the sides of the rectangle below are 1 unit apart.
What is the area in square units? Show or explain how you know.
b. The top side of this rectangle is marked off in unit lengths. The left side is labeled with the length in units.
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SetIllustrative Math Grade 3 Unit 2 Lesson 8 Activity 2, accessed on Sept. 23, 2022, 2:13 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
a. Write a multiplication expression that represents the area of the following figure. Then find its area.
b. Frederick draws another rectangle with the same area. What might the length and width of Frederick's rectangle be?
a. The area of the rectangle below is 42 square units. Find the missing side length.
b. Explain how you can use either multiplication or division to solve Part (a).
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
A rectangle has the measurements shown. Select the three ways to calculate the area of the rectangle in square units.
Find the side length of the rectangle below.
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
Understand standard units for measuring area, including square inches, square centimeters, square feet, and square meters, and choose an appropriate unit to measure the area of various rectangles.
Topic A: Understanding Concepts of Area
Understand that area is an attribute of plane figures that is a measure of how much flat space an object takes up. Find the area of a figure using pattern blocks, which can be used as concrete non-standard units.
Standards
3.MD.C.53.MD.C.6
Understand that area is measured using square units. Find the area of a figure using square tiles.
Find the area of a rectangle by counting unit squares on grids.
Find the area of a rectangle with incomplete information about its rows and columns of square units.
3.MD.C.63.MD.C.7.A
Find the area of a rectangle that has been superimposed over a grid.
3.MD.C.7.A3.MD.C.7.B
3.MD.C.6
Measure the side lengths of a rectangle to find its area.
3.MD.C.7.B
Solve word problems involving area.
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Topic B: The Distributive Property and Composite Area
Compose and decompose a rectangle, seeing and making use of the idea that the sum of the areas of the decomposed rectangle is equal to the area of the composed rectangle.
3.MD.C.7.C
Apply the distributive property as a strategy to find the total area of a large rectangle.
Recognize area as additive. Find the area of a composite figure as shown on a grid or with all side lengths labeled.
3.MD.C.7.D
Recognize area as additive. Find the area of a composite figure when not all dimensions are given.
Recognize area as additive. Find the area of a complex composite figure.
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