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Home > INSTRUCTION > State Standards and Frameworks > Mathematics > Seed C_7C

 Gr. 3 Unit: 3.MD.C.5-7: Understand Concepts of Area and Relate Area to Multiplication and Addition


Lesson Seed: 4.OA.C.5 Pattern Matching Game

Essential Questions: Question

  • What is perimeter?
  • How does knowing the attributes of plane figures help find the perimeter of an identified plane figure?
  • What methods are used to measure perimeter/area?
  • How does knowing the attributes of plane figures help find the area of a figure?
  • How is area related to multiplication and addition?
  • What is the difference between area and perimeter?
  • How can the area of rectilinear figures be calculated?

  • Lesson Plans and Seeds

    Lesson Plan C.7a: Using Tiling to Find Area

    Lesson Seed C.5: Covering the Shapes

    Lesson Seed C.7c: Using the Distributive Property to Find the Area

    Lesson Seed C.7d: Area Rectilinear

    Download Seeds, Plans, and Resources (zip)

    Unit Overview

    Content Emphasis By Clusters in Grade 3

    Progressions from Common Core State Standards in Mathematics

    Send Feedback to MSDE’s Mathematics Team

    Lesson seeds are ideas that can be used to build a lesson aligned to the CCSS. Lesson seeds are not meant to be all-inclusive, nor are they substitutes for instruction. When developing lessons from these seeds, teachers must consider the needs of all learners. It is also important to build checkpoints into the lessons where appropriate formative assessment will inform a teachers instructional pacing and delivery.

    Standard(s): 3.MD.C.7c. Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a x b and a x c. Use area models to represent the distributive property in mathematical reasoning.

    Purpose/Big Idea:

  • Students use concrete tiling and an understanding of area formulas to model the distributive property by using embedded arrays.

  • Materials:

  • two colors of 1-inch tiles (one set per student)
  • a piece of 9 x 12 construction paper (one per student)

  • Activity 1:

    The Smiths are remodeling their family room. The whole space is a rectangle with dimensions 9 ft. x 12 ft. They want one rectangular section of the room to be carpeted and another rectangular section of the room to be tiled. As their designer, create a model using two different colored tiles to represent the carpet and the tile floors.

    Guiding Questions:

  • Have the students share and discuss the models they created. During the discussion, ask, is there another way the carpet and tiles could be distributed? Who has a model different from _____’s model? How is your model like _____’s model? How is your model different from _____’s model? Are there any combinations for 9 ft. x 12 ft. that do not make sense? Explain your thinking.
  • What is the area of each section of your model?
  • What is the area of the entire room?
  • Are there any combinations that do not make sense?
  • How does the area of each section relate to the area of the entire room?
  • What rule can we generate about finding the total area from knowing the area of two interior rectangles?
  • Have students change their manipulative model into a drawing.
  • Using the different solutions proffered by students, guide the students to see that the area of a rectangle with sides a and b+c can be determined by finding the sum of ab + ac.
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      Last Updated 3/10/2020 11:38 AM