## **WELCOME TO EYES OF NEWTON**

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

**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.

**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.

**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.

Click here to access materials.

**Moving Towards Understanding with TI-Rover**

Student understanding of mathematics is more authentic when it is presented with multiple representations. Participants will examine mathematical ideas of the traditional numerical, algebraic, and graphical models in the context of the real world. Using the TI-Innovator and TI- Rover, numerical input will be transformed into real world output that students can experience. Output from the Innovator and Rover will help students make sense of algebraic and geometric problems as they persevere in solving them.

**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.

Click here to access materials.

**Design and Production: Investigating the Effects of Error with CAS**

Mathematics in the “real world” can be frustrating. Small variations in input values can lead to large variations in results. While the mathematics for the relationship between these variations can be daunting for students, technology

can make these problems accessible. In this session we will have a design task and discuss possible errors that may arise in its production. We will use CAS and dynamic geometry to explore how these errors affect our final product.