Sine and Cosine Graphs
Authored by Michelle Powell
12th Grade
CCSS covered
Used 364+ times
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This quiz focuses on the fundamental properties and transformations of sine and cosine functions, which is core material for Algebra 2 or Precalculus at the 11th or 12th grade level. Students must demonstrate mastery of key trigonometric concepts including amplitude (the coefficient that determines the vertical stretch or compression), period (calculated using the formula 2π/B where B is the coefficient of x), phase shifts (horizontal translations), and vertical shifts (vertical translations). The questions progress from basic identification of sine versus cosine graphs to more complex analysis of transformed functions in the form y = A·sin(Bx + C) + D or y = A·cos(Bx + C) + D. Students need solid understanding of how each parameter affects the graph's appearance, the ability to read and interpret graphical representations, and skills in applying transformation formulas to determine equations from given graphs or graph characteristics from given equations. Created by Michelle Powell, a grade 12 teacher in the US who teaches students preparing for advanced mathematics. This quiz serves as an excellent tool for formative assessment during the trigonometric functions unit, allowing teachers to quickly gauge student understanding of function transformations before moving to more complex applications. The variety of question types makes it versatile for multiple instructional purposes: use it as a warm-up to activate prior knowledge, assign it as homework practice to reinforce daily lessons, or deploy it as a review tool before summative assessments. The progression from conceptual questions about definitions to applied problems involving equation identification mirrors effective pedagogical sequencing. This assessment directly supports Common Core standards HSF-TF.B.5 (choosing trigonometric functions to model periodic phenomena) and HSF-BF.B.3 (identifying the effect of transformations on graphs), providing teachers with clear evidence of student progress toward these essential learning objectives.
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20 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Sine or Cosine?
Tags
CCSS.HSF-IF.C.7E
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Sine or Cosine?
Tags
CCSS.HSF-IF.C.7E
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
The __________ represents half the distance between the max and min of a sine or cosine graph.
Tags
CCSS.HSF-IF.C.7E
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
The period of a sine or cosine graph can be found by ....
Tags
CCSS.HSF.TF.A.4
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Phase shift means ...
Tags
CCSS.HSF-IF.C.7E
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
What is the period of either graph?
(y = sin/cos x)
Tags
CCSS.HSF-IF.C.7E
7.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
What is the period?
π/4
π/2
2π/3
π
Tags
CCSS.HSF.TF.A.4
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