TODAYS LESSON: SLOPE i'e' tilt, lean, pitch, tip

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TODAYS LESSON SLOPE (i.e. tilt, lean, pitch,
tip )
Linear Equations x-y notation
functional notation describe lines
y mx b f(x) mx b
Every line has SLOPE
What things can you think of that have slope,
besides lines?
Roads, roof of house, ski slope, plumbing in home.
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S L O P E
Using triangles, identify a side of the triangle
that has 1) Less SLOPE 2) More SLOPE 3)
Zero SLOPE 4) Infinite SLOPE
Definition of slope
S L O P E ?
Height 3
Note Roads have warnings for 8 slope
4 length
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S L O P E
Using triangles, measure and calculate the slope
of one of the sides of the triangle.

• Graph the following sloped lines on graph paper
• Slope 2 2) slope -2 3)
  slope 6
• Hint pick a point on the graph and
  use rise over run.

Using x-y notation for linear equations (i.e. y
3x 2), write linear equations for the following
lines 1) A line with zero slope? 2) A line
with infinite slope?
Answer 1) A line with zero slope? y 4 or y
-1 or similar horizontal lines.
Answer 2) A line with infinite slope? x 1
or x -4 or similar vertical lines.
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S L O P E
In a letter to European Urology, Dr. Maria
Cerruto indicated that women who wore high heel
shoes with a 15º slope to the ground developed
stronger pelvic muscles. Use what weve learned
about slope to determine the heel height of a 15º
sloped high heel shoe.
Here is a table showing a few shoe sizes along
with the shoe length. Since the slope of a shoe
is measured from about the ball of your foot to
the heel, the length for slope is reduced by 1/4
of the total length.
What is the formula to find the heel height?
Slope (change height)/(change length)
15º (Slope given) (heel height)/length tan 15º
.27 (using trig function we will learn later in
the year). Find the heel heights.
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S L O P E
Even though the letter to European Urology by Dr.
Maria Cerruto indicated benefits from wearing
high heels, there are many other studies that
indicate high heel shoes cause hammertoes,
bunions, corns, calluses, distorted Achilles
muscle, and even schizophrenia. Regular exercise
and good diet produce the most benefits.
tan 15º (Slope given) 0.27
(heel height)/length
heel height/6 Heel height 0.27 x 6
1.62 Heel height 0.27 x 6.75 1.8 Heel
height 0.27 x 7.5 2.1 Heel height 0.27 x
8.3 2.24