Transcript Document

2/9/15
1) Draw a right triangle and label the sides.
Label the legs 6cm and 9cm. Find the
hypotenuse and show your work. Round to
nearest hundredth.
2) Which linear equation is best
represented by this graph?
2/9/15
Today’s Objective:
8.G.6 Explain a proof of the Pythagorean Theorem
and its converse.
8.G.7 Apply the Pythagorean Theorem to determine
unknown side lengths in right triangles in real world
and mathematical problems in two and three
dimensions.
Today we will be focusing on word
problems using the Pythagorean
Theorem.
What is the first thing you do when
you are given a word problem?
Problem One
How long must a wire be to reach
from the top of a 15 meter
telephone pole to a point on the
ground 10 meters from the foot of
the pole? Jot down what you think
you should do.
Will’s living room is rectangular and
measures 21 ft by 28 ft. Beginning in
one corner, he walks the length of his
living room and then turns and walks
the width. Finally Will walks back to
the corner he started in. How far has
he walked?
Introduce Darius’ Dilemma
It will be due Wednesday.
Homework: 6 word problems due
tomorrow.
Today’s Objective:
8.G.6 Explain a proof of the Pythagorean Theorem
and its converse.
8.G.7 Apply the Pythagorean Theorem to
determine unknown side lengths in right triangles
in real world and mathematical problems in two
and three dimensions.
Specifically: finding the distance between 2
points.
2/10/15
1) According to the
measurements, what is
the length of x, in inches?
2) Write these real numbers in order from least
to greatest:
60
 64 , - 8.16 , - 8 ¾, 7
EXIT TICKET
Which is the closet to the straight-line distance between points P
and O on the grid below?
WORK:
Today’s Objective:
8.G.6 Explain a proof of the Pythagorean Theorem
and its converse.
8.G.7 Apply the Pythagorean Theorem to
determine unknown side lengths in right triangles
in real world and mathematical problems in two
and three dimensions.
2/11/15
1) Find x.
4 ft
x
15 ft
2) Find the perimeter of the triangle.
Find the
perimeter of the
entire object.
https://www.khanacademy.org/math/recreati
onal-math/vi-hart/vi-cool-stuff/v/what-wasup-with-pythagoras
5 cm
Find the
perimeter of
the outside
square.
Find the perimeter of the kite.
8 in
2 in
20 in
Find the perimeter of the rectangle.
10 ft
8ft
10 ft
8ft
Find x and y.
6.5 m
3m
x
y
6.5 m
4m
4
Find the perimeter.
10 in
12 in
8 in
13 in
6
Find the perimeter of the hexagon (hint: all the sides of the hexagon a equal).
10 in
8 in
2/12/15
1)
A) -30
C) 3.75
2) Find the perimeter
B) -10
D) 11.25
15 in
10 in
8 in
17 in
1) The graph shows the
linear function y=1/2x. If
the value of x is 6, what is
the value of y in this
function?
A) 12 B) 3 C) -3 D) -12
2/13/15
2) What is the perimeter
of the figure shown ?