Transcript pythagorean theorem applications2 and outline - Mrs-Cook

Bell Ringer
1-4-11
1. What two consecutive integers is 92
between?
2. What is the range of answers?
3. Solve
4. The area of a square is 64 square inches.
What is the length of the square?
5. If 3 out of 7 students did not calculate
the number of neutrons in Oxygen
correctly, what percent did calculate
correctly?
92
81  92  100
9  92  10
Range : 9.1  9.9
9.6  9.6  92.16
92  9.6
4. The area of a square is 64
square inches. What is the
length of the square?
64  8inches
5. If 3 out of 7 students did not
calculate the number of neutrons in
Oxygen correctly, what percent did
calculate correctly?
4did
?
7total
1
 14%
7
14%( 4)  56%
Quiz
1-4-11
A triangle has sides 4, 7, and 10. Is
this triangle a right triangle?
A triangle has sides 4, 7, and 10. Is this triangle a right triangle?
Is it a right triangle?
a b  c
2
2
2
4  7  10
16  49  100
2
2
2
65  100
Not a right triangle
Triangle
Sides: 4, 7, 10
To determine if it is a right triangle, I used
the Pythagorean theorem. If the theorem is
proven, then the triangle is a right triangle. I
plugged the numbers into the theorem (10
had to be c because it is the longest side). I
squared the legs and added them together.
I compared that the square of the
hypotenuse.
The triangle is not a right
triangle.
Speed Test
1. Get out a dry erase marker.
2. You have 1 minute to complete as
many problems as you can.
3.We will grade in 1 minute.
4. Graph your results. Keep the graph
in your notebook.
5. We will do this every day.
Problem of the Week &
Word Problem
#3-5
1. You have 5 minutes to work on the
problem of the week and word problem.
2. The problem of the week must follow
the Read, Think, Solve, Justify format.
3. When you are finished, turn them in.
4. They are due Friday.
Accelerated Math
1. You have 10 minutes to work on your
accelerated math.
2. Work out every problem.
3. When you complete the practice
problems, bring them to me. If you
have worked them all, I will allow you to
submit your answers.
4. This is INDIVIDUAL…NO TALKING!
Class Work:
Pythagorean Theorem
You need your notes. Title the notes:
Pythagorean Theorem
I will check your work at the end of class.
Pythagorean Theorem
Legs:
Sides a and b
Leg
Hypotenuse:
Always side c
Hypotenuse
Leg
Pythagorean Theorem
Theorem:
a2 + b 2 = c 2
c
a
b
Pythagorean Theorem
You are decorating the diagonal of a 12
inch by 7 inch window. How much
material is needed to decorate the
diagonal?
HINT: Draw a picture
Pythagorean Theorem
Theorem:
a2 + b 2 = c 2
7
13.9
c
12
72 + 122 = c2
49 + 144 = c2
193 = c2
193  c
Guess & Check
2
13.9 = c
Pythagorean Theorem
The two sides of an isosceles triangle
are 8 in. The height of the triangle is
7 in. Calculate the base of the
triangle. Calculate the perimeter of
the triangle.
8 in
HINT: Draw a picture
7 in
8 in
Pythagorean Theorem
72 + b2 = 82
Theorem:
a2 + b 2 = c 2
8 in
7 in
3.9 in
8 in
49 + b2 = 64
-49
-49
b2 = 15
b  15
b = 3.9 in
2
3.9 in
base= 7.8 in
P = 2(8)+7.8 in
P = 23.8 in
Pythagorean Theorem
If a2 + b2 = c2, then the triangle is a
right triangle.
If a2 + b2 = c2, then the sides are
Pythagorean triples.
a=6, b=9, c=10
62 + 92 = 102
36+ 81 = 100
117 = 100
Not a right triangle
6, 9, 10 are Not
Pythagorean Triples
Pythagorean Presentation
Create a Powerpoint slide show over the
Pythagorean Theorem
• Describe what the theorem is.
• Include your picture of an example of a
right triangle.
• You must have 5 slides over the
Pythagorean Theorem
Outline on paper today. You will create your
slide show tomorrow.
Work on your sing-a-long project after
you have outlined your powerpoint.
Class Work
Glencoe
pg. 165: 8 – 10
pg. 169: 5 – 8