Lesson Title: Phytagorean Theorem
Topic/Focus Area: CPM 1-B

Lesson Overview
Content Standards
Objectives
Activities
Resources
File Attachments
Assessment
Additional Comments

Subject(s): Mathematics

Grade Level(s): 8-12

Name: Dolores Bezies
Taught: Math
Phone:
E-mail: dbezies@calexico.k12.ca.us
School: Calexico High

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Lesson Overview

Students will have a quick access to Math History of the Pythagorean Theorem. Students will be able to empirically prove the Pythagorean theorem using manipulatives, and finally will be able to apply the theorem to find one of the sides of a right triangle.



Standards

Subject : Mathematics
Grade : Seven
Strand : Measurement and Geometry
Substrand 3.0 : Students know the Pythagorean theorem and deepen their understanding of plane and solid geometric shapes by constructing figures that meet given conditions and by identifying attributes of figures:

 
 
California High School Exit Exam (2)
STAR California Standards Test(3) Key Standard on the California Standards Test
Standard:
3.3
Know and understand the Pythagorean theorem and its converse and use it to find the length of the missing side of a right triangle and the lengths of other line segments and, in some situations, empirically verify the Pythagorean theorem by direct measurement.
 

Grade : Eight through Twelve
Strand : Geometry

The geometry skills and concepts developed in this discipline are useful to all students. Aside from learning these skills and concepts, students will develop their ability to construct formal, logical arguments and proofs in geometric settings and problems.


 
 
STAR California Standards Test
Substrand:
15.0
Students use the Pythagorean theorem to determine distance and find missing lengths of sides of right triangles.
 

Student Learning Objectives


Activities

  1. Teacher will display several photos or drawings of where a right triangle is formed through certain situations.
    Teacher will ask students to look and identify a shape or figure formed between three different points, on the foto.
  2. Teacher will ask stu

Resources

Content Resources (books, articles, etc.)
CPM IB textbook, Photos or Magazines

Web Resources
Pythagoras and its many proofs (www.cut-the-knot.com)

Perimeter, Area and Pythagorus (score.kings.k12.ca.us)

An interactive Proof of Pythagoras' Theorem (www.math.ubc.ca)

Pyhagoras Theorem (www.frontiernet.net)

Pythagoras Theorem (jwilson.coe.uga.edu)

Animated Proof of the Pythagorean Theorem (www.nadn.navy.mi)


Hardware/Software Resources (computers, CD-ROMs, TV, VCR, etc.)
basic calculator, TV, VCR, PC

LCP projector or equivalent

Computer & Internet


File Attachments

download the file Lesson plan
  — LP Pythagorean theorem.doc   (39.5 KB)

download the file geometry sketch 1
  — SKETCH1.GSP   (1.65 KB)

download the file Geo Sketch Pad
  — SKETCH2.GSP   (1.79 KB)

download the file Geo Sketch 3
  — Sketch3.gsp   (2.14 KB)

download the file Geo Sketch 4
  — SKETCH4.GSP   (2.75 KB)

download the file Geo Sketch 5
  — SKETCH5.GSP   (2.81 KB)

download the file Geo Sketch 6
  — Sketch6.gsp   (2.96 KB)

download the file Geo Sktch 7
  — Sketch7.gsp   (3.11 KB)

download the file Geo Sketch 8
  — Sketch8.gsp   (3.34 KB)

download the file Geo Sketch 9
  — Sketch9.gsp   (3.58 KB)

download the file Geo Sketch 10
  — sketchpad10.gsp   (4.77 KB)

download the file Final teacher Presentation
  — CTAP FINAL.ppt   (331 KB)

download the file CTAP Final
  — ACF41.ppt   (336 KB)


Assessment
a) Student will receive a questionair in regards to the history of the Pythagorean theorem.
b) Student will take a quiz with 3 or four questions about the Pythagorean Theorem.
c) Students will take a test on how to find the side of a right triangle using the Pythagorean Theroem.
Additional Comments