Slopes of Linear Functions
Lesson 8 of 13
Objective: SWBAT find slopes of linear functions using different given information and find linear functions and data points to fit certain requirements.
Students should be experts on the first problem, which is a summative review of last week's work. The layout helps students make connections between the different representations. As they work on these problems you can repeatedly ask them to explain how the key properties of linear functions show up in these different representations. The emphasis of this problem should be on student’s justifications for their work (MP3).
The second problem provides the opportunity to talk about the concept of slope more abstractly rather than quantitatively (MP2). The numbers that students choose don’t matter as much as the relationship between the linear equations that the students write.
The third problem provides students with the chance to understand a new type of problem. First, they need to figure out what it is asking (MP1). As it is the beginning of the year, they may be waiting for you to tell them how to solve this problem. This is an important time to require them to engage in the sense-making process. How does this work? Provide them with support, without actually answering any of their questions. See the MP1 Questions and Coaching document for specific ways of speaking to help make this happen.
Often when we want students to make sense of problems, we tell them, “Try again,” or “Ask your partner.” While this might be good advice, it often makes students feel that we are brushing them off, or that we don’t want to help them. The alternative sentences in the document help you show students that you care about their learning and are willing to invest time to help them, but that you aren’t going to actually show them how to do the problem.