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154 Results

Curriculum Lesson

Precalculus and Advanced Topics Module 3, Topic B, Lesson 12

Jan 26, 2016 - Student Outcomes Students describe the end behavior of rational functions.
Curriculum Lesson

Precalculus and Advanced Topics Module 3, Topic B, Lesson 15

Jan 26, 2016 - Student Outcomes Students graph transformations of functions in the form f(x) = 1/xn.
Curriculum Lesson

Precalculus and Advanced Topics Module 3, Topic B, Lesson 14

Jan 26, 2016 - Student Outcomes Students graph rational functions showing intercepts, asymptotes, and end behavior.
Curriculum Lesson

Precalculus and Advanced Topics Module 3, Topic B, Lesson 13

Jan 26, 2016 - Student Outcomes Students identify vertical and horizontal asymptotes of rational functions.
Curriculum Lesson

Precalculus and Advanced Topics Module 3, Topic B, Lesson 16

Jan 26, 2016 - Student Outcome Students compose functions and describe the domain and range of the compositions.
Curriculum Topic

Precalculus and Advanced Topics, Module 3, Topic C Overview

Jan 26, 2016 - 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. ...
Curriculum Topic

Precalculus and Advanced Topics Module 3, Topic B, Overview

Jan 26, 2016 - 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...
Curriculum Lesson

Precalculus and Advanced Topics Module 3, Topic C, Lesson 18

Jan 26, 2016 - 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...
Curriculum Lesson

Precalculus and Advanced Topics Module 3, Topic B, Lesson 11

Jan 26, 2016 - Student Outcomes Students reduce rational expressions to lowest terms. Students determine the domain of rational functions.
Curriculum Lesson

Precalculus and Advanced Topics Module 3, Topic B, Lesson 17

Jan 26, 2016 - 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...
Curriculum Lesson

Precalculus and Advanced Topics Module 4, Topic A, Lesson 4

Jan 26, 2016 - 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...
Curriculum Lesson

Precalculus and Advanced Topics Module 3, Topic C, Lesson 19

Jan 26, 2016 - 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...
Document

Algebra II Module 2, Topic A, Lesson 16

Jan 26, 2016 - Student Outcomes Students prove simple identities involving the sine function, cosine function, and secant function. Students recognize features of proofs of identities.
Curriculum Lesson

Precalculus and Advanced Topics Module 4, Topic A, Lesson 2

Jan 26, 2016 - Student Outcomes Students explore the symmetry and periodicity of trigonometric functions. Students derive relationships between trigonometric functions using their understanding of the unit circle.
Curriculum Lesson

Precalculus and Advanced Topics Module 3, Topic C, Lesson 20

Jan 26, 2016 - 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...
Curriculum Lesson

Precalculus and Advanced Topics Module 5, Topic A, Lesson 2

Jan 26, 2016 - 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...
Curriculum Lesson

Precalculus and Advanced Topics Module 4, Topic A, Lesson 6

Jan 26, 2016 - 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...
Document

Algebra II Module 2, Topic A, Lesson 15

Jan 26, 2016 - 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...
Curriculum Topic

Precalculus and Advanced Topics Module 5 Topic A

Jan 26, 2016 - 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...
Curriculum Lesson

Precalculus and Advanced Topics Module 5, Topic A, Lesson 3

Jan 26, 2016 - Student Outcomes Students calculate the number of different combinations of items selected from a set of distinct items.
Curriculum Lesson

Precalculus and Advanced Topics Module 4, Topic A, Lesson 3

Jan 26, 2016 - 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...
Curriculum Lesson

Precalculus and Advanced Topics Module 4, Topic C, Lesson 13

Jan 26, 2016 - Student Outcomes Students use inverse trigonometric functions to solve real-world problems addressing best viewing angles.
Curriculum Lesson

Precalculus and Advanced Topics Module 4, Topic C, Lesson 11

Jan 26, 2016 - Student Outcomes Students graph the sine, cosine, and tangent functions and analyze characteristics of their graphs.
Curriculum Lesson

Precalculus and Advanced Topics Module 5, Topic A, Lesson 4

Jan 26, 2016 - Student Outcomes Students distinguish between situations involving combinations and situations involving permutations. Students use permutations and combinations to calculate probabilities. Students...

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