Reflection: Lesson Planning Introducing Functions - Section 1: Warm Up


This was a difficult lesson for me to plan. I felt it was important to start with the Function Unit ahead of Equations.  I debated many hours and days about which should come first. 

I started off by knowing that I wanted to present an introduction to functions using words first, and leading into numbers.  My students, I felt, did not have an adequate understanding of the type of functions, to move forward quickly in this unit. It (functions) is such a strong foundation in Algebra I, I want to build it carefully before moving into the other units.  

Once I started planning though, it was difficult for me to come up with an example using words, and I have changed this lesson many times, deleting sections that I spent hours working on, but knowing that it was not what I wanted to achieve.

After grinding my way through the design of this lesson, I definitely have a clearer understanding of what a function is and how I need to develop the idea in my algebra course. 

So, I now think about functions like this:

A relationship between two or more variables forms a set of ordered pairs.  If it is a special kind of relationship, where each input value maps to exactly one output value, then it is a function. If it is a function, that forms a pattern that we can generalize, then we can write an equation using the independent and dependent variable. 

I think it is important for teachers to keep modifying until the objective is achieved, even though at times it is much easier to just use a resource we already have.  It takes extra time to rewrite a worksheet or activity, but will end up being a waste of our student's time if we don't take the time to redo it.  


  Planning for this lesson
  Lesson Planning: Planning for this lesson
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Introducing Functions

Unit 1: Introduction to Functions
Lesson 2 of 13

Objective: SWBAT identify the independent variable, the dependent variable, input, output, domain, and a range of a relation and analyze the relation to determine a function.

Big Idea: To use the concrete example of (pieces of furniture, room location) to develop deeper student understanding of a function that leads to quantitative examples.

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12 teachers like this lesson
Math, linear functions, Algebra, domain, range, dependent variable, independent variable, introduction activity, constant function, relations, Writing an equation, function
  45 minutes
pieces of furniture
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