Pythagorean Theorem.notebook

Pythagorean Theorem.notebook
January 22, 2015
Opener:
Today's Agenda:
Simplify the following radicals: a) 75
b) 28
c) 200
• Tests are in the process of being graded.
Check Home Access for your score.
• Simplifying Radicals Recap
• Pythagorean Theorem Review
• HW
Questions? Use your worksheet from last time! Jan 22­7:34 AM
Jan 6­3:28 PM
Hello!
Welcome to Unit 3: TRIGONOMETRY
Write down a definition and an example of the pythagorean theorem. You may use any resource available to you! (Partner, phone, etc.)
Jan 6­3:25 PM
Jan 6­3:29 PM
#1. Find the Hypotenuse: The legs of
a right triangle have side lengths of 10
and 24. What is the length of the
hypotenuse? **draw a picture**
#2. Find a missing leg: The hypotenuse
of a right triangle is 25 and a leg is 24.
What is the length of the other leg?
*draw a picture*
Jan 6­3:31 PM
Jan 6­3:44 PM
1
Pythagorean Theorem.notebook
January 22, 2015
Think to yourself
#3. Find the missing side length:
a. 5
3
x
b. 15
c. 8
6
3
Is writing a decimal like 5.19 exact? Why or
why not?
x
x
Decide with your partner(s) and come up with an argument explaining why you are right.
Jan 6­3:45 PM
So...what happens when you get an answer
like 27 ?? How can we simplify it, but keep
it exact?
Jan 6­3:53 PM
Let's Practice! Solve for the missing side using the Pythagorean Theorem. Write you answer in simplest form. *simplify your radical*
Simplifying radicals: Simplif
. After you are finished, write a recipe
for how to simplify a radical that is not a perfect square.
Feel free to use your worksheet from last time! Jan 6­4:05 PM
Let's Practice! Solve for the missing side using the Pythagorean Theorem. Write you answer in simplest form. *simplify your radical*
Jan 12­3:38 PM
Jan 6­4:17 PM
Let's Practice! Solve for the missing side using the Pythagorean Theorem. Write you answer in simplest form. *simplify your radical*
Jan 12­3:38 PM
2
Pythagorean Theorem.notebook
Let's Practice! Solve for the missing side using the Pythagorean Theorem. *simplify your radical*
A square has side length 10 yd. What is the length of a diagonal of the square?
Express in simplest radical form. Draw a picture!
Jan 12­3:40 PM
January 22, 2015
A repairman leans the top of an 8­ft ladder against the top of a stone wall. The
base of the ladder is 5.5 ft from the wall. About how tall is the wall? Round to
the nearest tenth of a foot.
Draw a picture!
Jan 12­3:41 PM
Rally Coach
Directions: You and one other partner will be working together to answer
the questions below. Each person will have multiple roles while solving
each question. Below is a list of the roles:
Partner 1: Read Questions Aloud
Partner 2: Draw picture to represent the situation, including labeling any
information given to you in the problem.
Partner 1: Write the equation you will use to solve the problem.
Partner 2: Check the equation
Partner 1: Solve the equation
Partner 2: Check the solution
After you complete a problem, switch which partner is 1 and which
partner is 2. Continue doing so until you have completed all of the
problems below.
Jan 20­1:22 PM
Jan 22­3:53 PM
Jan 20­3:40 PM
Jan 20­3:40 PM
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Pythagorean Theorem.notebook
January 22, 2015
Jan 22­7:43 AM
4