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Transcript
(HN) Math 3 Final Exam
Review Part 2
Unit 5: Rational Functions
Unit 6: Geometry & Proofs
Unit 7: Trigonometry
Unit 8: Statistics
Unit 5: Rational Functions
•
•
•
•
Horizontal Asymptotes (BOSTON)
Vertical Asymptotes
Holes
X-intercepts
Unit 5: Rational Functions
• Simplifying Rational Expressions
Unit 5: Rational Functions
• Multiplying
Unit 5: Rational Functions
• Dividing
Unit 5: Rational Functions
• Adding & Subtracting Rational Expressions
Unit 5: Rational Functions
• Solving Rational Equations
Unit 6: Geometry & Proofs
•
•
•
•
•
Similarity: Same shape, size may vary by a common scale factor.
3 Ways to Prove Two Triangles are Similar:
AA~
SAS~
SSS~
• Where the angles are congruent, and the sides are proportional.
Unit 6: Geometry & Proofs
• Congruence: Same shape, same size.
• 5 ways to prove triangle congruence:
Unit 6: Geometry & Proofs
• Angles between parallel lines:
a
d
b
c
• Corresponding Angles are Congruent
• Alternate Interior Angles are Congruent
• Same-Side Interior Angles add to 180
e
h
f
g
Unit 6: Geometry & Proofs
• For additional definitions, visit my quizlet:
https://quizlet.com/_1t6oxe
Unit 7: Circles & Trigonometry
• Outside Angle
Unit 7: Circles & Trigonometry
• Converting between radians and degrees
Unit 7: Circles & Trigonometry
• SOHCAHTOA & the Unit Circle
y
sin 𝜃 = = y
1
x
cos 𝜃 = = x
1
y
tan 𝜃 =
x
Examples:
Unit 7: Circles & Trigonometry
• Arc Length & Sector Area
Unit 7: Circles & Trigonometry
• Graphing Sine & Cosine
Unit 7: Circles & Trigonometry
• Trigonometric Identities
• (ignore what’s under the
rectangle)
Unit 7: Circles & Trigonometry
• For vocabulary and formulas, visit my quizlet:
• https://quizlet.com/_2anuxn
Unit 8: Statistics
• No review, since this is the most recent unit we have covered-see
your notes!
• See quizlet for vocabulary:
• https://quizlet.com/_1udf0h