## Algebra I Module 3, Topic B: Functions and Their Graphs

Classroom Resource Information

Title:

Algebra I Module 3, Topic B: Functions and Their Graphs

URL:

https://www.engageny.org/resource/algebra-i-module-3-topic-b-overview

Content Source:

EngageNY
Type: Lesson/Unit Plan

Overview:

In Module 3, 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 interpret functions in abstract and contextual situations (F-IF.A.1, F-IF.A.2). Students examine the graphs of a variety of functions and learn to interpret those graphs using precise terminology to describe such key features as domain and range, intercepts, intervals where the function is increasing or decreasing, and intervals where the function is positive or negative. (F-IF.A.1, F-IF.B.4, F-IF.B.5, F-IF.C.7a).

Content Standard(s):
 Mathematics MA2015 (2016) Grade: 9-12 Algebra I 26 ) Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. [F-IF2] Alabama Alternate Achievement Standards AAS Standard: M.AAS.F.HS.26- Substitute x-values into one-step linear equations in two variables (y = x + p or y = px) and solve for the y-values. (this could include the original information listed above and have students represent in data table) Mathematics MA2019 (2019) Grade: 9-12 Algebra I with Probability 15. Define a function as a mapping from one set (called the domain) to another set (called the range) that assigns to each element of the domain exactly one element of the range. a. Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. Note: If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. b. Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. Limit to linear, quadratic, exponential, and absolute value functions. Alabama Alternate Achievement Standards AAS Standard: M.A.AAS.12.15 Use the vertical line test to determine if a given relation is a function. Mathematics MA2019 (2019) Grade: 9-12 Algebra I with Probability 28. 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. Note: Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; maximums and minimums; symmetries; and end behavior. Extend from relationships that can be represented by linear functions to quadratic, exponential, absolute value, and linear piecewise functions. Alabama Alternate Achievement Standards AAS Standard: M.A.AAS.12.28 Given graphs that represent linear functions, identify key features (limit to y intercept, x-intercept, increasing, decreasing) and/or interpret different rates of change (e.g., Which is faster or slower?).
Tags: domain, evaluate, function, graphs, inputs, intercepts, intervals, range, tables