F.IF.7.e | EngageNY

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Common Core: Math

CCLS - Math: F.IF.7.e

Category: Interpreting Functions
Sub-Category: Analyze Functions Using Different Representations
State Standard:: Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

15 Results

Curriculum Lesson

Algebra II Module 3, Topic E, Lesson 33

Jan 26, 2016 - Student Outcomes Students use geometric series to calculate how much money should be saved each month to have 1 million in assets within a specified amount of time.
Curriculum Topic

Algebra II Module 3, Topic E, Overview

Jan 26, 2016 - Topic E is a culminating series of lessons driven by MP.4, Modeling with Mathematics. Students apply what they have learned about mathematical models and exponential growth to financial literacy...
Curriculum Lesson

Algebra II Module 3, Topic C, Lesson 21

Jan 26, 2016 - Student Outcomes Students understand that the change of base property allows us to write every logarithm function as a vertical scaling of a natural logarithm function. Students graph the natural...
Curriculum Lesson

Algebra II Module 3, Topic C, Lesson 20

Jan 26, 2016 - Student Outcomes Students study transformations of the graphs of logarithmic functions. Students use the properties of logarithms and exponents to produce equivalent forms of exponential and...
Curriculum Lesson

Algebra II Module 3, Topic C, Lesson 18

Jan 26, 2016 - Student Outcomes Students compare the graph of an exponential function to the graph of its corresponding logarithmic function. Students note the geometric relationship between the graph of an...
Curriculum Topic

Algebra II Module 3, Topic C, Overview

Jan 26, 2016 - In Topic C, students graph logarithmic functions, identifying key features (F-IF.4, F-IF.7) and discover how the logarithmic properties are evidenced in the graphs of corresponding logarithmic...
Curriculum Lesson

Algebra II Module 3, Topic C, Lesson 16

Jan 26, 2016 - Student Outcomes Students interpret addition and multiplication of two irrational numbers in the context of logarithms and find better-and-better decimal approximations of the sum and product,...
Curriculum Topic

Algebra II Module 2, Topic A, Overview

Jan 26, 2016 - In this topic, students develop an understanding of the six basic trigonometric functions as functions of the amount of rotation of a point on the unit circle (F-TF.A.1), and then translate that...
Curriculum Lesson

Algebra II Module 2, Topic B, Lesson 14

Jan 26, 2016 - Student Outcomes Students graph the tangent function. Students use the unit circle to express the values of the tangent function for π - x, π + x, and 2π - x in terms of tan(x), where x is any real...
Curriculum Lesson

Algebra II Module 2, Topic B, Lesson 12

Jan 26, 2016 - Student Outcomes Students review how changing the parameters A, ω, h, and k in f(x) = A sin(ω(x - h)) + k affects the graph of the sine function. Students examine the example of the Ferris wheel,...
Curriculum Lesson

Algebra II Module 2, Topic B, Lesson 11

Jan 26, 2016 - Student Outcomes Students formalize the periodicity, frequency, phase shift, midline, and amplitude of a general sinusoidal function by understanding how the parameters A, w, h, and k in the formula...
Curriculum Topic

Algebra II Module 2, Topic B, Overview

Jan 26, 2016 - Students will use trigonometric functions to model periodic phenomena (F-TF.B.5) by fitting sinusoidal functions to data (S-ID.B.6a). Students use the properties of the graphs of sinusoidal...
Curriculum Lesson

Algebra II Module 2, Topic A, Lesson 10

Jan 26, 2016 - Student Outcomes Students observe identities from graphs of sine and cosine basic trigonometric identities and relate those identities to periodicity, even and odd properties, intercepts, end...
Curriculum Lesson

Algebra II Module 2, Topic A, Lesson 8

Jan 26, 2016 - Student Outcomes Students graph the sine and cosine functions and analyze the shape of these curves. For the sine and cosine functions, students sketch graphs showing key features, which include...
Curriculum Module

Algebra II Module 2

Mar 24, 2016 - Module 2 builds on students’ previous work with units and with functions from Algebra I, and with trigonometric ratios and circles from high school Geometry. The heart of the module is the study of...