Focusing on Families of Functions
From Pre-Algebra to Precalculus, functions play a vital tole in our mathematics classroom. Join us a we take a deep dive into functions. We will use TI graphing technology to build and strengthen conceptual understanding through multiple representations of linear, quadratic, exponential, logarithmic, radical, polynomial, rational, and trigonometric functions.
Visualizing Approximation and Error in AP Calculus
From tangent lines to Riemann sums, Calculus gives access to quick approximations through many methods. But why do these methods provide an accurate approximation and how accurate are they? This session will explore different ways to help students visualize various methods of approximations such as tangent lines, Riemann Sums, and Taylor polynomials. The methods allow students to understand the errors produced by these approximations as well as convergence to an exact value.
Come Get the TEA on Technology in AP Precalculus
The course and exam description for AP Precalculus states that “Technology should be used throughout the course as a tool to explore concepts.” In a rigorous college level precalculus course, how do we make time for such exploration? In this session, we will examine the handheld calculator and computer emulator as a tool for Teaching, Exploring, and Assessing mathematical concepts in the class. We will look at activities that focus the lesson on these mathematical concepts while allowing students to learn important calculator skills.
Connecting with Polar Curves
Polar graphs can present quite a conundrum for students as they try to connect many different concepts and representations. We will explore methods for helping students make connections between their past knowledge and the new concepts of polar curves with visual representations. We will utilize technology to create dynamic links between the Cartesian and Polar coordinate systems.
Soft Skills for Success on the AP Calculus Exam
A strong understanding of the concepts of calculus is essential for success on the AP Calculus exam, but unfortunately this is not enough to ensure it. In this session, we will explore the “soft skills” that should be emphasized throughout the course. This include the mathematical practice of good communication and notation as well as a strong understanding of when and how to use the calculator. Join us as we explore these skills through the lens of sample Free Response Questions.