## **WELCOME TO EYES OF NEWTON**

Welcome to Eyes of Newton. This website is dedicated to sharing methods for visualizing the concepts of Calculus.

19 Math in Motion with the TI-Innovator Rover

63 Connecting Trigonometry and Geometry

85 Bringing Math Alive: Connecting and Analyzing Data

**Playing Nice with the Mean Value Theorem**

Classroom discussion about average rate of change generated from explorations with technology anchor their understanding of the Mean Value Theorem. Analysis of functions connected to the concept of motion but expanded to others concepts will serve as a foundation for discovering the consequence of the theorem and the importance of its conditions.

As online learning systems and student use of Chromebooks becomes pervasive across the math classroom, the TI-84 Plus CE App for Chromebook allows teachers to continue to use the familiar power of the TI-84 in the virtual environment. Whether it is arithmetic, graphing or coding, students can use the same calculator on their Chromebook as they will in standardized testing. Learn how to transition the technology you have always trusted into the environment of Google Classroom and other similar learning tools.

**“Exploring Pre-Calculus and AP Calculus Activities with the TI-84 Plus (TI)”**

In this session, participants will see how concepts from Pre-Calculus and AP Calculus can be explored graphically, numerically, and analytically using TI-84 Plus family of graphing calculators. Feel free to come and share your ideas and resources. The TI-84 Plus, TI-84 Plus C SE, and TI-84 Plus CE are all acceptable for use on AP exams.

**Exploring Functions with TI-Rover**

Do you feel pressed for time as you struggle to cover content while also using STEM principles and technology? In this session, participants will put technology to work for them. Classroom activities using the TI-Rover will explore a variety of topics involving functions. Engage students with a robotic vehicle to develop their understanding of domain, range, linear and quadratic models and more.

**“Exploring Pre-Calculus and AP Calculus Activities with the TI-84 Plus (TI)”**

In this session, participants will see how concepts from Pre-Calculus and AP Calculus can be explored graphically, numerically, and analytically using TI-84 Plus family of graphing calculators. Feel free to come and share your ideas and resources. The TI-84 Plus, TI-84 Plus C SE, and TI-84 Plus CE are all acceptable for use on AP exams.

**“Exploring Pre-Calculus and AP Calculus Activities with the TI-Nspire™ CX and CX II (TI)”**

In this session, participants will see how concepts from Pre-Calculus and AP Calculus can be explored graphically, numerically, and analytically using TI-Nspire CX handheld technology. The TI-Nspire CX and TI-Nspire CX CAS units also come with companion Teacher software featuring a built-in TI SmartView emulator. The TI-Nspire CX handheld is acceptable for use on AP exams.

**Making Sense of Functions**

Student comprehension of functions is more complete when they are presented with multiple representations. In this session, participants will examine functions outside of the traditional numerical, algebraic, and graphical models. Using the TI-Innovator, numerical input will be transformed into real world output that students can see and hear. Real world input will then be used to create numerical and graphical output. Come hear the difference between linear and exponential functions.

**Exploring Functions with TI-Rover**

Do you feel pressed for time as you struggle to cover content while also using STEM principles and technology? In this session, participants will put technology to work for them. Classroom activities using the TI-Rover will explore a variety of topics involving functions. Engage students with a robotic vehicle to develop their understanding of domain, range, linear and quadratic models and more.

**Playing Nice with the Mean Value Theorem**

Explore the concept of average rate of change while focusing on conceptual understanding using dynamic graphical explorations. This conceptual understanding will serve as a foundation for discovering the conclusion of the mean value theorem in the context of the race between the tortoise and the hare. With the conclusion in mind, attendees will explore the necessary conditions required for the conclusion to be met.

**Playing Nice with the Mean Value Theorem**

Early opportunities for student discussion of the average rate of change in a calculus class cements understanding and develops deeper meaning of the Mean Value Theorem later in the year. Attendees will explore the concept of average rate of change with a focus on conceptual understanding using dynamic graphical explorations. While these explorations are tied to the concept of motion, discussion will be applied to many other areas. This conceptual understanding will serve as a foundation for discovering the conclusion of the mean value theorem in the context of the race between the tortoise and the hare. With the conclusion in mind, attendees will explore the necessary conditions required for the conclusion to be met.