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Common Core: Standard
Common Core: ELA
Common Core: Math
154 Results
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- Student Outcomes Students describe the end behavior of rational functions.
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- Student Outcomes Students graph transformations of functions in the form f(x) = 1/xn.
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- Student Outcomes Students graph rational functions showing intercepts, asymptotes, and end behavior.
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- Student Outcomes Students identify vertical and horizontal asymptotes of rational functions.
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- Student Outcome Students compose functions and describe the domain and range of the compositions.
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- In Topic C students study inverse functions, being careful to understand when inverse functions do and do not exist, working to restrict the domain of a function to produce an invertible function. ...
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- In Topic B, students explore composition of functions in depth and notice that a composition of a polynomial function with the function f(x) = 1/x gives functions that can be written as ratios of...
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- Student Outcomes Students read the inverse values of a function from a table and graph. They create the inverse of a function by solving an equation of the form f(x) = y. They understand the...
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- Student Outcomes Students reduce rational expressions to lowest terms. Students determine the domain of rational functions.
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- Student Outcomes Students write equations that represent functional relationships and use the equations to compose functions. Students analyze the domains and ranges of functions and function...
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- Student Outcomes Students use the addition formulas to derive the double-angle formulas for sine, cosine, and tangent and evaluate trigonometric expressions for specific values of θ. Students use the...
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- Student Outcomes Students continue to read the inverse values of a function from a table and graph. They create the inverse of a function by solving an equation of the form f(x) = y. Students verify...
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- Student Outcomes Students prove simple identities involving the sine function, cosine function, and secant function. Students recognize features of proofs of identities.
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- Student Outcomes Students explore the symmetry and periodicity of trigonometric functions. Students derive relationships between trigonometric functions using their understanding of the unit circle.
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- Student Outcomes In order to demonstrate understanding of the inverse relationship between exponents and logarithms, students construct the inverse of exponential and logarithmic functions from a...
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- Student Outcomes Students use the fundamental counting principle to determine the number of different possible outcomes for a chance experiment consisting of a sequence of steps. Students calculate...
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- Student Outcomes Students model waveforms using sinusoidal functions and understand how standing waves relate to the sounds generated by musical instruments. Students use trigonometric identities to...
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- Student Outcomes Students prove the Pythagorean identity sin2(x) + cos2(x) = 1. Students extend trigonometric identities to the real line, with attention to domain and range. Students use the...
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- In this topic, students extend their understanding of probability, building on work from Grade 11. The multiplication rule for independent events introduced in Grade 11 is generalized to a rule that...
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- Student Outcomes Students calculate the number of different combinations of items selected from a set of distinct items.
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- Student Outcomes Students prove the subtraction formula for cosine and use their understanding of the properties of the trigonometric functions to derive the remaining addition and subtraction...
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- Student Outcomes Students use inverse trigonometric functions to solve real-world problems addressing best viewing angles.
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- Student Outcomes Students graph the sine, cosine, and tangent functions and analyze characteristics of their graphs.
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- Student Outcomes Students distinguish between situations involving combinations and situations involving permutations. Students use permutations and combinations to calculate probabilities. Students...