Pythagorean Theorem and Its Converse
1) Find a side length of a right triangle given the other two side lengths
2) Apply the Converse of Pyth. Thm to determine if numbers are a Pyth. Triple
3) Apply the Pythagorean Theorem and its Converse to real world problems
1
Teachers' notes
Subject
Topic
Title
Grade(s)
Prior knowledge
Intended learning outcome(s)
Math 1
Radicals and Geometry Connections
Using Pythagorean Theorem and its converse
9­10
Solving equations using square roots
Simplifying Radicals
Students will be able to use the Pythagorean Theorem to find side lengths of Right Triangles
Students will be able to use the Converse of the Pythogorean Theorem to decide if 3 numbers are a Pyth. Triple.
2
Lesson notes
If Sketch Pad doesn't open on its own, go to shared staff and open the program before trying to open link
Make reference to 3­4­5 Rule when talking about the Pythagorean Converse
3
Click for Sketch Pad
4
5
6
5
C
Label the Sides 1st
12
7
8
9
10
11
12
3­4­5 Rule
Make a 90o angle using the 3­4­5 rule
13
14
15
16
Attachments
Pythagonrean﴾21065﴿﴾10978﴿.gsp