Lesson: The Pythagorean Theorem

1
Lesson The Pythagorean Theorem

• Sixth Grade
• Dr. Castiglioni

Homework
2
FOCUS
Homework

• To explore and discover the formula for the
  Pythagorean Theorem.

3
Do Now
Homework

• Identify the polygon.
• How many right angles does it have?
• Give the total angle measurement for the whole
  polygon. Explain.
• Bisect the rectangle by drawing a diagonal from
  one corner to another.
• Name the polygons that are formed.
• What would be the total angle measurement for
  each triangle. Explain.

4
Mini Lesson

• Teacher reads from the book Whats Your Angle
  Pythagoras? (by Julie Ellis up to page 18) or
• Use the video.
• Students continue Pythagoraswork. Follow these
  directions.

Homework
5
Pythagoras in Real Life
Homework
6
Work Period
Homework

• Measure the right triangle that is given to your
  group. Note down the measurements on your chart
  or table.

7
Vocabulary Building

• Introduce new vocabulary
• bisect
• leg
• hypotenuse

Homework
8
Directions
Homework
c
b

• Form a set of square tiles on each side of the
  triangle.
• Count the number of tiles for each side and
  complete your chart or table.
• What do you notice about the measurement of each
  side of your right triangle and the total number
  of square tiles?
• Do you see any connection between them?
• State the formula for the Pythagorean Theorem.

a
9
Closing

• To summarize, watch BrainPop.
• http//www.glencoe.com/sec/math/impact/
• Restate the formula.
• What do the squared letters mean?

Homework
10
Homework

• Edna and Don are flying a kite. Edna is holding
  the kite and has let out 90 feet of kite string.
  Don is standing 30 feet from Edna and is directly
  under the kite. How far above the ground is the
  kite? Assume Edna is holding the string 3 feet
  above the ground. Explain how you found your
  answer. Illustrate the problem to help you solve
  the problem.