SECONDARY MATH II // MODULE 6 SIMILARITY & …...SECONDARY MATH II // MODULE 6 SIMILARITY & RIGHT...
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SECONDARY MATH II // MODULE 6 SIMILARITY & RIGHT TRIANGLE TRIGONOMETRY – 6.8 Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org 6. 8 Are Relationships Predictable? A Develop Understanding Task In your notebook draw a right triangle with one angle of 60°. Measure each side of your triangle as accurately as you can with a centimeter ruler. Using the 60 0 angle as the angle of reference list the measure for each of the following: Length of the adjacent side: Length of the opposite side: Length of the hypotenuse: Create the following ratios using your measurements: opposite side hypotenuse = adjacent side hypotenuse = opposite side adjacent side = 1. Compare your ratios with others that had a triangle of a different size. What do you notice? Explain any connections you find to others’ work? CC BY Jorge Jaramillo “depth . . . “ https://flic.kr/p/nUTK2r 42
Transcript of SECONDARY MATH II // MODULE 6 SIMILARITY & …...SECONDARY MATH II // MODULE 6 SIMILARITY & RIGHT...
SECONDARY MATH II // MODULE 6
SIMILARITY & RIGHT TRIANGLE TRIGONOMETRY – 6.8
Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org
6. 8 Are Relationships Predictable?
A Develop Understanding Task
Inyournotebookdrawarighttrianglewithoneangleof60°.Measureeachsideofyourtriangleasaccuratelyasyoucanwithacentimeterruler.Usingthe600angleastheangleofreferencelistthemeasureforeachofthefollowing: Lengthoftheadjacentside: Lengthoftheoppositeside: Lengthofthehypotenuse:Createthefollowingratiosusingyourmeasurements:
opposite sidehypotenuse
= adjacent sidehypotenuse
=
opposite sideadjacent side
=
1. Compareyourratioswithothersthathadatriangleofadifferentsize.Whatdoyounotice?Explainanyconnectionsyoufindtoothers’work?
CC
BY
Jorg
e Ja
ram
illo
“dep
th .
. . “
http
s://f
lic.k
r/p/
nUT
K2r
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SECONDARY MATH II // MODULE 6
SIMILARITY & RIGHT TRIANGLE TRIGONOMETRY – 6.8
Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org
2. Intherighttrianglesbelowfindthemissingsidelengthandthencreatethedesiredratiosbasedontheangleofreference(angleAandangleD).
ListtheratiosforΔABC usingangleAastheangleofreference.
ListtheratiosforΔDEF usingangleDastheangleofreference.
opposite sidehypotenuse
=
adjacent sidehypotenuse
=
opposite sideadjacent side
=
opposite sidehypotenuse
=
adjacent sidehypotenuse
=
opposite sideadjacent side
=
3. Whatdoyounoticeabouttheratiosfromthetwogiventriangles?Howdotheseratioscompareto
theratiosfromthetriangleyoumadeonthepreviouspage?
4. Whatcanyouinferabouttheanglemeasuresof∆!"# and ∆!"#?
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