Reflection: Developing a Conceptual Understanding Discrete and Continuous Functions - Section 3: Discussion


The following Smart Board file shows student responses for comparing Questions 1 and 3 in today's lesson. I was impressed with the ideas students came up with and was interested to see students not the y-intercepts in this problem in terms of how much money each bank account started with. I was also excited to see students describe the differences in the shapes of the graphs of each function. I like how the tasks in today's lesson ask students to compare in a variety of ways, not just discrete vs. continuous, but also linear vs. exponential. I think this work has the potential to generate a high level of conceptual understanding.

  Developing a Conceptual Understanding: Comparing Questions 1 & 3
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Discrete and Continuous Functions

Unit 7: Functions
Lesson 5 of 11

Objective: SWBAT compare discrete and continuous functions that are both linear and exponential.

Big Idea: Is change happening continuously? Students compare and contrast discrete and continuous functions and build on their conceptual understanding of the domain of functions.

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