Reflection: Intrinsic Motivation Identifying Functions and Providing Rationale - Section 1: Warm Up


The media dropped into my classroom unannounced, which happens often at a New Technology High School.  They entered my Algebra I class, full of new freshman.  I had given the Warm Up about the school's snack machine, and it was amazing how many freshman have not used the vending machine yet.  I told them I thought we were going to have to take a field trip to the vending machine.  However, to stay focused on the objective of the lesson, I encouraged them to talk to their elbow partners that had visited the machine.  I told them to share information to complete the chart with the amount of money that they input, and the item that was received for the output.

After about five minutes, the students had completed the chart which allowed me to move into the lesson to make my point that the snack machine did not represent a function.  There are many options in the machine for the same amount of money, creating more than one output for each input.

The man shooting pictures thanked me before he left, and said,"that was fun."  It is important to bring up situations that are relevant to the students, even as simple as their school's snack machine. They will never look at their snack machine the same again.  They had fun coming up with examples out of the machine, and met the objective.  The students easily recognized that the example was not a function when we graphed it on a coordinate plane.  I think it is important to teach students how to enjoy math as well as meet the objectives.

  Media visit
  Intrinsic Motivation: Media visit
Loading resource...

Identifying Functions and Providing Rationale

Unit 1: Introduction to Functions
Lesson 3 of 13

Objective: SWBAT identify if a relation is a function or not, and explain that there must be exactly one output for each input, and apply the Vertical Line Test for proof.

Big Idea: This lesson introduces functions with the school's vending machine, and uses a Frayer Model to summarize the different representations of relations and functions.

  Print Lesson
8 teachers like this lesson
Math, tables of values, Algebra, range, vertical line test, dependent variable, independent variable, ordered pairs, Exit Ticket, Warm UP, guided practice, master teacher project, frayer model, Identify a function, Provide reasoning, proof, making connections, domain, multiple representations, graph, function
  40 minutes
vertical line test 2
Similar Lessons
Graphing Radical Functions Day 1
Algebra II » Radical Functions - It's a sideways Parabola!
Big Idea: Systems of rational and linear equations may be solved graphically by observing the point where the graphs intersect.
Fort Collins, CO
Environment: Suburban
Jacob Nazeck
Introduction to Functions
Algebra I » Introduction to Algebra: Focus on Problem Solving
Big Idea: What's happening inside that machine? Students are introduced to a "function machine" as a metaphor in order to begin to understand the concept of functions and how they work.
Boston, MA
Environment: Urban
Amanda Hathaway
Function Diagrams
Algebra I » Mini Unit: Patterns, Programs, and Math Without Words
Big Idea: Function Diagrams give students a novel way to visualize a function, which is just what some students need to access such an essential concept.
Worcester, MA
Environment: Urban
James Dunseith
Something went wrong. See details for more info
Nothing to upload