F-IF.2.5

Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person-hours it takes to assemble engines in a factory, then the positive integers would be an appropriate domain for the function.

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Formative Assessments
Formative Assessments
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Students are given a graph and a verbal description of a function and are asked to describe its domain.
Airport Parking
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Students are asked to identify and describe the domains of two functions given their graphs.
Height vs. Shoe Size
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Students are asked to describe the domain of a function given its graph.
Car Wash
Virtual/Hands-on Manipulatives
Virtual/Hands-on Manipulatives
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Restrict, reposition, and rotate lines at will using slope-intercept form. Use precision in describing these transformations using words and/or symbols.
Marbleslides: Lines
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In this online tool, students input a function to create a graph where the constants, coefficients, and exponents can be adjusted by slider bars. This tool allows students to explore graphs of functions and how adjusting the numbers in the function affect the graph. Using tabs at the top of the page you can also access supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.
Function Flyer
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Allows students access to a Cartesian Coordinate System where linear equations can be graphed and details of the line and the slope can be observed.
Graphing Lines
Assessment Questions
Assessment Questions
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Videos of Expert Instruction
Videos of Expert Instruction
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What happens when math models go wrong in forecasting hurricanes?
Hurricane Dennis & Failed Math Models
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This video demonstrates how to determine if a relation is a function and how to identify the domain.
Relations and Functions
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This video by Learn Zillion (approx. 7:20 min) explains to students how the domain for certain linear functions is restricted by analyzing the mathematical context of real life word problems.

Understanding Domain Restrictions by Learn Zillion

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Hook/Performance Tasks
Hook/Performance Tasks
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The purpose of this task is to give students practice constructing functions that represent a quantity of interest in a context, and then interpreting features of the function in the light of the context. It can be used as either an assessment or a teaching task.
The Canoe Trip, Variation 1
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This awesomely gross lesson provides students with a real world context for building linear functions.
How Much Does A 100×100 In-N-Out Cheeseburger Cost?
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The primary purpose of this task is to lead students to a numerical and graphical understanding of the behavior of a rational function near a vertical asymptote, in terms of the expression defining the function.
The Canoe Trip, Variation 2
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Students add the monthly payments together with the initial down payment and compare it to the single annual payment.
Is It Cheaper To Pay Monthly or Annually?
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This deceptively simple task asks students to find the domain and range of a function from a given context. The function is linear and if simply looked at from a formulaic point of view, students might find the formula for the line and say that the domain and range are all real numbers.
Oakland Coliseum
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Students will have to decompose 450 and account for the nine rolls.
How Can You Win Every Prize At Chuck E. Cheese’s?