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Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
Standard #: MAFS.912.F-IF.1.2Archived Standard
Standard Information
General Information
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Functions: Interpreting Functions
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Understand the concept of a function and use function notation. (Algebra 1 - Major Cluster) (Algebra 2 - Supporting Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Date Adopted or Revised: 02/14
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes
Related Courses
Related Resources
Formative Assessments
  • Cell Phone Battery Life # Students are asked to interpret statements that use function notation in the context of a problem.
  • What Is the Value? # Students are asked to determine the corresponding input value for a given output using a table of values representing a function, f.
  • What Is the Function Notation? # Students are asked to use function notation to rewrite the formula for the volume of a cube and to explain the meaning of the notation. 
  • Graphs and Functions # Students are asked to determine the value of a function, at an input given using function notation, by inspecting its graph.
  • Evaluating a Function # Students are asked to evaluate a function at a given value of the independent variable.
Lesson Plans
  • Representing Polynomials # This lesson unit is intended to help you assess how well students are able to translate between graphs and algebraic representations of polynomials. In particular, this unit aims to help you identify and assist students who have difficulties in recognizing the connection between the zeros of polynomials when suitable factorizations are available, and graphs of the functions defined by polynomials as well as recognizing the connection between transformations of the graphs and transformations of the functions obtained by replacing f(x) by f(x + k), f(x) + k, -f(x), f(-x).
  • Functions and Everyday Situations # This lesson unit is intended to help you assess how well students are able to articulate verbally the relationships between variables arising in everyday contexts, translate between everyday situations and sketch graphs of relationships between variables, interpret algebraic functions in terms of the contexts in which they arise and reflect on the domains of everyday functions and in particular whether they should be discrete or continuous.
  • How much is your time worth? # This lesson is designed to help students solve real-world problems involving compound and continuously compounded interest. Students will also be required to translate word problems into function models, evaluate functions for inputs in their domains, and interpret outputs in context.
  • Freeze # In this lesson students will learn how to write equations in function notation when given a real-world scenario. Students will work in groups to determine an equation for a given scenario, as well as, write a scenario for a given equation.
  • Exponential Graphing Using Technology # This lesson is teacher/student directed for discovering and translating exponential functions using a graphing app. The lesson focuses on the translations from a parent graph and how changing the coefficient, base and exponent values relate to the transformation.
Original Student Tutorial
  • Travel with Functions # Learn how to evaluate and interpret function notation by following Melissa and Jose on their travels in this interactive tutorial.
Problem-Solving Tasks
  • Yam in the Oven # The purpose of this task is to give students practice interpreting statements using function notation. It can be used as a diagnostic if students seem to be having trouble with function notation, for example mistakenly interpreting f(x) as the product of f and x.
  • Using Function Notation II # The purpose of the task is to explicitly identify a common error made by many students when using the "identity" f(x + h) = f(x) + f(h).
  • The Random Walk # This task requires interpreting a function in a non-standard context. While the domain and range of this function are both numbers, the way in which the function is determined is not via a formula but by a (pre-determined) sequence of coin flips. In addition, the task provides an opportunity to compute some probabilities in a discrete situation. The task could be used to segue the discussion from functions to probability, in particular the early standards in the S-CP domain.
  • Cell Phones # This simple task assesses whether students can interpret function notation. The four parts of the task provide a logical progression of exercises for advancing understanding of function notation and how to interpret it in terms of a given context.
  • The High School Gym # This task asks students to consider functions in regard to temperatures in a high school gym.
  • Random Walk II # These problems form a bridge between work on functions and work on probability. The task is better suited for instruction than for assessment as it provides students with a non-standard setting in which to interpret the meaning of functions. Students should carry out the process of flipping a coin and modeling this Random Walk in order to develop a sense of the process before analyzing it mathematically.
  • Pizza Place Promotion # This tasks asks students to use functions to predict the price of a pizza on a specific day and find which day the pizza would be cheapest according to a promotion.
Unit/Lesson Sequence
  • Sample Algebra 1 Curriculum Plan Using CMAP #
    This sample Algebra 1 CMAP is a fully customizable resource and curriculum-planning tool that provides a framework for the Algebra 1 Course. The units and standards are customizable and the CMAP allows instructors to add lessons, worksheets, and other resources as needed. This CMAP also includes rows that automatically filter and display Math Formative Assessments System tasks, E-Learning Original Student Tutorials and Perspectives Videos that are aligned to the standards, available on CPALMS. Learn more about the sample Algebra 1 CMAP, its features and customizability by watching the following video:

    Using this CMAP

    To view an introduction on the CMAP tool, please . To view the CMAP, click on the "Open Resource Page" button above; be sure you are logged in to your iCPALMS account.To use this CMAP, click on the "Clone" button once the CMAP opens in the "Open Resource Page." Once the CMAP is cloned, you will be able to see it as a class inside your iCPALMS My Planner (CMAPs) app. To access your My Planner App and the cloned CMAP, click on the iCPALMS tab in the top menu.All CMAP tutorials can be found within the iCPALMS Planner App or at the following URL: http://www.cpalms.org/support/tutorials_and_informational_videos.aspx
MFAS Formative Assessments
  • Cell Phone Battery Life # Students are asked to interpret statements that use function notation in the context of a problem.
  • Evaluating a Function # Students are asked to evaluate a function at a given value of the independent variable.
  • Graphs and Functions # Students are asked to determine the value of a function, at an input given using function notation, by inspecting its graph.
  • What Is the Function Notation? # Students are asked to use function notation to rewrite the formula for the volume of a cube and to explain the meaning of the notation. 
  • What Is the Value? # Students are asked to determine the corresponding input value for a given output using a table of values representing a function, f.
Original Student Tutorials Mathematics - Grades 9-12
  • Travel with Functions # Learn how to evaluate and interpret function notation by following Melissa and Jose on their travels in this interactive tutorial.
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