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

 Gr. 8 Unit: 8.G.B.6-8: Understand and Apply the Pythagorean Theorem

Content Emphasis By Clusters in Grade 8

Essential Questions: Question

  • What are the applications of the Pythagorean Theorem and its converse?
  • What is the relationship among the lengths of the sides of a right triangle?
  • What are the properties of special right triangles and how are these properties used?
  • How can the Pythagorean Theorem be used to solve problems in life?

  • Lesson Plans and Seeds

    Lesson Plan B.7: Apply the Pythagorean Theorem

    Lesson Seed B.7: Pythagorean Proof

    Download Seeds, Plans, and Resources (zip)

    Unit Overview

    Content Emphasis By Clusters in Grade 8

    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.

    Content Emphasis by Clusters in Grade 8:

    According to the Partnership for the Assessment of Readiness for College and Careers (PARCC), some clusters require greater emphasis than others. The table below shows PARCC’s relative emphasis for each cluster. Prioritization does not imply neglect or exclusion of material. Clear priorities are intended to ensure that the relative importance of content is properly attended to. Note that the prioritization is in terms of cluster headings.

    Key:
  • Major Cluster
  • Supporting Clusters
  • Additional Clusters
  • The Number System

  • Know that there are numbers that are not rational, and approximate them by rational numbers.
  • Expressions and Equations

  • Work with radicals and integer exponents.
  • Understand the connections between proportional relationships, lines and linear equations.
  • Analyze and solve linear equations and pairs of simultaneous linear equations.
  • Functions

  • Define, evaluate and compare functions.
  • Use functions to model relationships between quantities.
  • Geometry

  • Understand congruence and similarity using physical models, transparencies or geometry software.
  • Understand and apply the Pythagorean Theorem.
  • Solve real-world and mathematical problems involving volume of cylinders, cones and spheres.
  • Statistics and Probability

  • Investigate patterns of association in bivariate data.
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      Last Updated 3/9/2020 2:45 PM