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Home > INSTRUCTION > State Standards and Frameworks > Mathematics > Seed_C_7A

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


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

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.

    Unit/Cluster: Understand Concepts of Area and Relate Area to Multiplication and Addition/Geometric Measurement

    Lesson Topic: Finding the area of a rectangle by tiling it and providing an opportunity for students to develop their own formula (rule) for finding the area of a rectangle.

    Essential Questions

  • What is area?
  • How do we find the area of shapes for which we do not know or cannot recall a formula?
  • How can we count the squares more efficiently?
  • How could we get a more precise approximation of the area?
  • Enduring Understandings

  • Area is a measure of the space inside a region or how much it takes to cover a region.
  • Focus Standard(s)

    3.MD.C.7: Relate area to the operations of multiplication and addition. - MAJOR
    3.MD.C.7a: 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. - MAJOR

    It is critical that the Standards for Mathematical Practices are incorporated in ALL lesson activities throughout the unit as appropriate. It is not the expectation that all eight Mathematical Practices will be evident in every lesson. The Standards for Mathematical Practices make an excellent framework on which to plan your instruction. Look for the infusion of the Mathematical Practices throughout this unit.


    Coherence of Standards
    Across-Grade Coherence: Content Knowledge from Earlier Grades

    2.G.A.2: Partition a rectangle into rows and columns of same-sized squares and count to find the total number of them.

    Within-Grade Coherence: Content from Other Standards in the Same Grade that Provide Reinforcement

    3.OA.A: Represent and solve problems involving multiplication and division.
    3.OA.C: Multiply and divide within 100.


    RIGOR

    Procedural Skill
    Students will accurately find the area of a rectangle using the formula.

    Conceptual Understanding
    Students will use tiling to determine the area of a rectangle to generate the rule (formula) for finding the area of a rectangle.

    Modeling/Application
    Students will apply their understanding of how the concrete models for the area of the rectangular-shaped carpet can be represented by the formula for area.

    Student Outcomes

  • Students will use tiling to determine the area of a specific rectangle.
  • Students will generate a rule (formula) for finding the area of a rectangle.
  • Students will discuss the importance of a standard unit of measure.
  • Method for Determining Student Readiness for the Lesson

    Use the Warm Up (see “Learning Experience”) as a pre-assessment.

    Learning Experience

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      Last Updated 3/10/2020 11:38 AM