F.IF.4 | EngageNY

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Common Core: Standard

Common Core: ELA

Common Core: Math

CCLS - Math: F.IF.4

Category: Interpreting Functions
Sub-Category: Interpret Functions That Arise In Applications In Terms Of The Context
State Standard:: For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.★

32 Results

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 19

Jan 26, 2016 - Student Outcomes Students will understand that the logarithm function base b and the exponential function base b are inverse functions.
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 Lesson

Algebra II Module 3, Topic C, Lesson 17

Jan 26, 2016 - Student Outcomes Students graph the functions f(x) = log(x), g(x) = log2(x), and h(x) = ln(x) by hand and identify key features of the graphs of logarithmic functions.
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 Module

Algebra II Module 3

Mar 24, 2016 - Exponential and Logarithmic Functions In this module, students synthesize and generalize what they have learned about a variety of function families. They extend the domain of exponential functions...
Curriculum Topic

Algebra I Module 5, Topic B, Overview

Jan 26, 2016 - Tables, graphs, and equations all represent models. We use terms such as “symbolic” or “analytic” to refer specifically to the equation form of a function model; “descriptive model” refers to a...
Curriculum Topic

Algebra I Module 5, Topic A, Overview

Jan 26, 2016 - Topic A focuses on the skills inherent in the modeling process: representing graphs, data sets, or verbal descriptions using explicit expressions (F-BF.A.1a) when presented in graphic form in Lesson...
Curriculum Topic

Algebra I Module 4, Topic B, Overview

Jan 26, 2016 - Students apply their experiences from Topic A as they transform quadratic functions from standard form to vertex form, (x) = a(x - h)2 + k in Topic B. The strategy known as completing the square is...
Curriculum Topic

Algebra I Module 4, Topic A, Overview

Jan 26, 2016 - Topic A introduces polynomial expressions. In Module 1, students learned the definition of a polynomial and how to add, subtract, and multiply polynomials. Here, their work with multiplication is...
Curriculum Topic

Algebra I Module 3, Topic D, Overview

Jan 26, 2016 - In Topic D, students apply and reinforce the concepts of the module as they examine and compare exponential, piecewise, and step functions in a real-world context (F-IF.C.9). They create equations...
Curriculum Topic

Algebra I Module 3, Topic B, Overview

Jan 26, 2016 - In Topic B, students connect their understanding of functions to their knowledge of graphing from Grade 8. They learn the formal definition of a function and how to recognize, evaluate, and...
Curriculum Lesson

Algebra I Module 5, Topic B, Lesson 9

Jan 26, 2016 - Student Outcomes Students interpret the function and its graph and use them to answer questions related to the model, including calculating the rate of change over an interval, and always using an...
Curriculum Lesson

Algebra I Module 5, Topic B, Lesson 8

Jan 26, 2016 - Student Outcomes Students model functions described verbally in a given context using graphs, tables, or algebraic representations.
Curriculum Lesson

Algebra I Module 5, Topic B, Lesson 6

Jan 26, 2016 - Student Outcomes Students write equations to model data from tables, which can be represented with linear, quadratic, or exponential functions, including several from Lessons 4 and 5. They recognize...
Curriculum Lesson

Algebra I Module 5, Topic B, Lesson 4

Jan 26, 2016 - Student Outcomes Students create a two-variable equation that models the graph from a context. Function types include linear, quadratic, exponential, square root, cube root, and absolute value. ...
Curriculum Lesson

Algebra I Module 5, Topic A, Lesson 3

Jan 26, 2016 - Student Outcomes Students make sense of a contextual situation that can be modeled with linear, quadratic, and exponential functions when presented as a word problem. They analyze a verbal...
Curriculum Lesson

Algebra I Module 5, Topic A, Lesson 2

Jan 26, 2016 - Student Outcomes Students recognize linear, quadratic, and exponential functions when presented as a data set or sequence, and formulate a model based on the data.
Curriculum Lesson

Algebra I Module 5, Topic A, Lesson 1

Jan 26, 2016 - Student Outcomes From a graphic representation, students recognize the function type, interpret key features of the graph, and create an equation or table to use as a model of the context for...
Curriculum Lesson

Algebra I Module 4, Topic B, Lesson 17

Jan 26, 2016 - Student Outcomes Students graph a variety of quadratic functions using the form f(x) = ax2 + bx + c (standard form). Students analyze and draw conclusions about contextual applications using the key...
Curriculum Lesson

Algebra I Module 4, Topic A, Lesson 10

Jan 26, 2016 - Student Outcomes Students interpret quadratic functions from graphs and tables: zeros (x-intercepts), y-intercept, the minimum or maximum value (vertex), the graph’s axis of symmetry, positive and...
Curriculum Lesson

Algebra I Module 4, Topic A, Lesson 9

Jan 26, 2016 - Student Outcomes Students use the factored form of a quadratic equation to construct a rough graph, use the graph of a quadratic equation to construct a quadratic equation in factored form, and...
Curriculum Lesson

Algebra I Module 4, Topic A, Lesson 8

Jan 26, 2016 - Student Outcomes Students examine quadratic equations in two variables represented graphically on a coordinate plane and recognize the symmetry of the graph. They explore key features of graphs of...

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