Transcript PowerPoint Presentation - Soccer Trigonometry

Soccer Trigonometry
Play smart not hard.
SAY WHAT?
• Here is a lesson that blends trig and a
key player in a soccer match, the goalie.
Point number one
• Students should see
very easily from this
diagram that in
order to block the
shot, the goalie
(black dot) must
move to one side or
the other up to the
length of the green
line A.
Point number two
• If the goalie were to
advance some
distance out of the
goal it would
decrease that
blocking distance to
a smaller green line
A.
Lets do trig
• Given this diagram
and some key
measurements,
students should be
able to apply
trigonometry
concepts to find the
new distance A.
Answers follow.
Given Information
• Given information is left to teachers discretion
due to diversity in knowledge level of
students. You can give more information is
desired.
• Length of the goal (dark black line)
• The distance of the shooter from the goal
(I.e. line D+E).
• The distance of the goalie’s advance namely
line E
• note shooter is positioned such that line C is
exactly half that of the goal.
Answers
• Arc tan[(D+E)/C]= angle
1.
• Angle 1= Angle 2
• Tan(2)=E/F
• C-F=H
• H x 2 =A
• Any information may be
changed in order to
achieve desired goals.