Reflection: Problem-based Approaches Introduction to Piecewise Functions: Dance-a-Thon Question - Section 1: Launch


This segment of the lesson ran longer than I expected.  I was impressed how students were certainly able to approach the problem from many different perspectives in order to find the rate of change.  This led to some rich conversations both during the launch and during the full class discussion.  Students struggled with making the leap to showing how to graphically and numerically represent money being made at twice the rate ($60).  Many students approached this by first finding values and plotting points and then sketching their graph.  I anticipated that more students would be able to come up with the actual functions f(x)=30x and g(x)=60x-240.  This was a struggle for most students in the class and so that portion of the discussion took more time than anticipated.  Students were still a little unsure of how to find the function g(x).  Most students could see why it worked but thought they might struggle if they had to build a function like that on their own.  

  Problem-based Approaches: Launch-Reflection
Loading resource...

Introduction to Piecewise Functions: Dance-a-Thon Question

Unit 1: Functions
Lesson 11 of 18

Objective: SWBAT apply a piecewise function to a real world scenario.

Big Idea: By looking at a situation in context students will discover the need for piecewise functions.

  Print Lesson
5 teachers like this lesson
Math, Algebra, domain, range, rate of change, input, output, piecewise-defined functions, function
  40 minutes
introduction to piecewise
Similar Lessons
What is Algebra?
Algebra II » Modeling with Algebra
Big Idea: Algebra is built on axioms and definitions and relies on proofs just as much as geometry.
Fort Collins, CO
Environment: Suburban
Jacob Nazeck
Maximizing Volume - Day 1 of 2
12th Grade Math » Functioning with Functions
Big Idea: A classic maximization problem is used to investigate relative extrema.
Troy, MI
Environment: Suburban
Tim  Marley
Slope & Rate of Change
Algebra I » Linear & Absolute Value Functions
Big Idea: Students will interpret the rate of change in the context of a problem, and use it to make predications about a situation that shows linear growth.
Washington, DC
Environment: Urban
Noelani Davis
Something went wrong. See details for more info
Nothing to upload