- Grade 10 applied:
- graph a line and write the equation of a line from given information
- Grade 9 applied & academic:
- solve problems involving proportional reasoning;
- apply data-management techniques to investigate relationships between two variables;
- demonstrate an understanding of constant rate of change and its connection to linear relation
- Grade 8:
- solve problems by using proportional reasoning in a variety of meaningful contexts.
- Grade 7:
- demonstrate an understanding of proportional relationships using percent, ratio, and rate.
- Grade 6:
- demonstrate an understanding of relationships involving percent, ratio, and unit rate.
Act 1: Turbo Texting:
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- What relationships can you see? — Number of characters in a text vs. the time to text it.
- Create a scatter plot sketch of how the number of characters in a text affects the time to text that message.
- How does this graph look with both texters on the same grid?
- Who is the faster texter? Predict. How does your sketch show who is faster?
- Kevin finishes first does that mean he is the faster texter?
- How will we determine who is the faster texter? What will we need to see?
Act 2
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ME: “Use any method you choose to determine: Who is the faster texter?” I allowed them time here to work on a strategy. I watched carefully what strategies they used or didn’t use.
Seeing the different strategies gave us a nice discussion the importance understanding what rate we are determining and how to interpret it to answer the problem.
I showed this picture next:
and this piece of info…
Students completed this problem and we discussed the assumptions we needed to make.
Texting Time
How do your students compare to Jon and Kevin? Have them time each other while texting the 165 character message. Have them determine their texting speed to see who the fastest texter is in the class.
Linear Modelling
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