Math Portfolio Unit4Details:

Unit 4: PYTHAGOREAN THEOREM(8.G.6 8.G.7 8.G.8 )

VOCABULARY: Include definition, explanation in your own words, and an example

  • Pythagorean Theorem
  • Legs of a right triangle
  • Hypotenuse of a right triangle
  • Right triangle
  • Isosceles right triangle
  • Area of a triangle

ESSENTIAL QUESTIONS: Full sentence response with examples

  1. Explain how to use theconverse of the Pythagorean theorem (also known as the Pythagorean Triple) to show that a triangle is a right triangle.
  1. Explain the proof of the Pythagorean theorem. (Hint: remember our mini lab packet).

Watch the following video for more explanations of the proof of Pythagorean theorem:

3. Explain how to solve for the unknown side of a right triangle given the other two sides.

UNITPROCEDURES: Include: Title, Description, Example, and step-by-step details

  1. Find the distance between two points on a coordinate plane using Pythagorean Theorem. Explain all steps in detail.

Distance between: (2, 3) and (-3, -2)

  1. Find the area of an isosceles triangle with congruent sides of 12m and a base of 16m. Explain all steps in detail.
  1. Find the diagonal of a television with a width of 24 inches and a length of 32 inches. Explain all steps in detail.

SUMMARY DETAILS: Reflective summary using Photo Booth

Summarize what you have learned about Pythagorean theorem in a reflective video using photo booth. Show examples on the board or using small whiteboards.

Explainhow to determine if three sides of a triangle form a right triangle.

Explain how to use Pythagorean theorem to determine if a piece of furniture can fit through a doorway.

Explain how to find the length of a ladder against a building given the distance from the base of the building, and the height at which the ladder hits the building.

Create an outline first, and then record your reflection summary.