Recovering a Function from its Derivative: A Graphical Approach
Pupils follow detailed instructions for using their TI-86 graphing calculator to find solutions to differential equations. In this lesson, students learn to use their graphing calculator to solve 12 differential equations.
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Function Notation and Flying T-Shirts
Your young algebra engineers brainstorm a list of machines that are then related to algebra functions to begin their exploration of the mighty invention called function notation. A discussion follows using a box to represent the machine...
8th - 9th Math CCSS: Designed
Representing, Naming, and Evaluating Functions (Part 2)
Notation in mathematics can be intimidating. Use this lesson to expose pupils to the various ways of representing a function and the accompanying notation. The material also addresses the importance of including a domain if necessary....
9th - 10th Math CCSS: Designed
Rolle’s Theorem and the Mean Value Theorem
Using the derivative to apply the Mean Value Theorem and its more specific cousin, Rolle's Theorem, is valuable practice in determining differentiability and continuity on an interval. This presentation and accompanying worksheet walk...
10th - 12th Math CCSS: Adaptable
Module 5: Features of Functions
The language and features of functions get careful treatment in a complex but doable lesson. Learners get a lot of practice really figuring out what a graph means in context, and also identifying key features of graphs. Key ideas like...
8th - 10th Math CCSS: Designed
Modeling the Equation of a Piecewise Defined Function from Its Graph
Build a function from pieces of other functions. Learners observe how to write a piecewise function from its graph with an instructive video. The video uses all notation and vocabulary related to piecewise functions, as well as a linear...
6 mins 11th - Higher Ed Math CCSS: Adaptable