# Pythagorean Theorem

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Mathematics in Reasoning and Measurement Lesson – Pythagorean Theorem

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NYS Standards (http://www.p12.nysed.gov/ciai/common_core_standards/)

Understand and apply the Pythagorean Theorem.

8-G- 6. Explain a proof of the Pythagorean Theorem and its converse.

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. (Page 48)

http://www.p12.nysed.gov/ciai/common_core_standards/pdfdocs/nysp12cclsmath.pdf

NCTM (www.nctm.org/standards) In through grade 6-8 all students should –

➢ Solve problems involving scale factors, using ratio and proportion;( Measurement Standard).

➢ Solve simple problems involving rates and derived measurements for such attributes as velocity and density (Measurement Standard)

➢ Discuss and understand the correspondence between data sets and their graphical representations, especially histograms, stem-and-leaf plots, box plots, and scatterplots. (Data Analysis and Probability)

➢ Understand relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects;.( Geometry Standard)

➢ Use symbolic algebra to represent situations and to solve problems, especially those that involve linear relationships; (Algebra)

➢ Build new mathematical knowledge through problem solving (Problem solving- Process Standards)

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► Full Mathematic Lesson

► Worksheet

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Thank You

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All the Best,

TR

Total Pages
9 pages
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Teaching Duration
45 minutes
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