Introduction to Linear Functions
To show what a linear equation looks like we will be metaphorically participating in a Walk-a-thon fundraiser. After separating into small groups and reading articles about Walk-a-thons similar to the one below, we will collect data by calculating our own rate of walking. Similar to this article we will be raising money, but rather by raising $10 for each mile we walk for a 12 hour period. This idea of a Walk-a-thon fundraiser will be referred to often throughout this project so be sure you understand what it is and how it works.
Main Learning Target: Introduce the concept of patterns of change between independent and dependent variables for linear relationships.
Main Learning Target: Introduce the concept of patterns of change between independent and dependent variables for linear relationships.
walkathon_article.pdf | |
File Size: | 175 kb |
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Exploring Linearity with Graphs
The two graphs below allow us to see real world examples of a linear relationship. After discussing the information involved in these graphs individually and with a partner we will share our findings with the class. After looking at these real world examples of linear relationships we will work to create a graph of our walking rates that we collected in the introduction. We will use this graph to construct tables and see if our walking rate data is a linear relationship in the sense of time v. distance.
Main Learning Target: Describe the patterns of change for variables in linear relationships from graphs and tables. Also be able to Construct tables and graphs to represent linear patterns of change.
Main Learning Target: Describe the patterns of change for variables in linear relationships from graphs and tables. Also be able to Construct tables and graphs to represent linear patterns of change.
attendance_v._bridge_test_scores.jpg | |
File Size: | 10 kb |
File Type: | jpg |
time_v._cost_of_a_phone_call.jpg | |
File Size: | 7 kb |
File Type: | jpg |
solving Linear Equations
We are now ready to talk more specifically about how we will raise funds in the Walk-a-thon we have been discussing. Let's now explore the different pledges plan we can offer. We need to be able to present some tables and graphs of evidence of each pledge plan so we can show our patrons how they will work. To list out each plan we will also have to be able to represent that amount of money in many different equations. Solving equations will need to be learning and many different techniques are available at this Glogster.
Main Learning Target: Translate information about linear relationships from tables and graphs into multiple forms of equations.
Main Learning Target: Translate information about linear relationships from tables and graphs into multiple forms of equations.
Exploring Slope
Recently each student has calculated how much money they would earn from a Walk-a-thon fundraiser. Now let's put that money to use. Brainstorm a way to donate a constant sum on a weekly or monthly basis. We'll use one of these ideas to make a table and graph of your fundraiser funds. Either mid way through the lesson for a break or before dismissal we will view the video below featuring a rap about Linear Equations summarizing a lot of the parts of equations.
Main Learning Target: Describe what the parts of a linear equation represent and understand negative and positive rates of change.
Main Learning Target: Describe what the parts of a linear equation represent and understand negative and positive rates of change.
Applying What We have Learned
As a final activity we will be playing a game in groups of 2-4. This game is called Linear Supremacy and uses all the skills we have learned throughout this project to construct many different linear lines to connect to all different kinds of points. This will summarize everything we have learned. If student do not want to play this game they have the option to instead create their own rap or a poem that is related to linear equations.
Main Learning Target: Construct interacting linear lines and assess others' constructions.
Main Learning Target: Construct interacting linear lines and assess others' constructions.
linear_supremacy_game.pdf | |
File Size: | 79 kb |
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Research Paper
Read and reread this Poem about Linear Relationships by Valerie Rugbart. After doing so write a short paper discussing how specific verses relate to things we have learned in this multi-genre project or anything you know about linear equations. This paper's requirements will be specified in more detail later but be able to use several sources and examples in your discussion.
Main Learning Target: Explain how parts of the poem relate to your learning of linear equations.
Main Learning Target: Explain how parts of the poem relate to your learning of linear equations.