Middle School Programs Building Healthy Core Learning 8th Grade Math, Unit 7

8th Grade UNIT 7 OVERVIEW: Pythagorean Theorem Unit Outcomes At the end of this unit, your student should be able to:  Explain a proof of the Pythagorean Theorem and its converse  Apply the Pythagorean Theorem to find perimeter and area  Apply the Pythagorean Theorem in order to find the distance between two points.

Key Vocabulary          

Key Standards Addressed Connections to Common Core/NC Essential Standards 8.NS.2 - Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations. 8.EE.2 - Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a rational number. 8.G.6 - Explain a proof of the Pythagorean Theorem and its converse.

Terms to deepen the student’s understanding Base Exponent Hypotenuse Legs Perfect Square Pythagorean Theorem Pythagorean Triple Right Angle Right Triangle Square Root

Where This Unit Fits Connections to prior and future learning Coming into this unit, students should have a strong foundation in:  Solving equations with square roots  Estimating irrational numbers  Applying the triangle sum theorem and triangle inequality theorem This unit builds to the following future skills and concepts:  Solving equations using the Pythagorean Theorem  Using trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems

8.G.7- Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real world and mathematical problems in two and three dimensions. 8.G.8 - Apply the Pythagorean Theorem to find the distance between two points in a coordinate system

     

Additional Resources

“Learning Checks”

Materials to support understanding and enrichment Teaching videos made by Wake County teachers WCPSS YouTube Channel – Math Playlist Pythagorean Theorem Overview Pythagorean Theorem Video Pythagorean Theorem Practice Pythagorean Theorem Practice 2

Questions Parents Can Use to Assess Understanding What is the relationship between the sides of a right triangle? What is the significance of using right triangles in the real world? Where might you see the Pythagorean Theorem outside of school? Explain the Pythagorean Theorem

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* Please note, the unit guides are a work in progress. If you have feedback or suggestions on improvement, please feel free to contact [email protected].

Math 8 Unit 7 Overview.pdf

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