# Virtual EMI

## Virtual EMI morning courses

### Action Oriented Trigonometry

This course will examine some alternative approaches to introducing the trigonometric functions. There will be some hands-on activities as well as calculator activities involved in exploring important trigonometric relationships. Much of the course will focus on applications that use trigonometric functions like parametric equations, angle of elevation, circular motion and rotation matrices.

### Probability Refresher

Do you remember how many students are needed in a math class to assure a 50 percent chance that at least two students share the same birthday?  Or how many ways there are of making a 4-person committee out of 24 math teachers?  Refresh, review and learn new ideas about probability and combinatorics through a series of problems and labs.

### Setting the Stage for Calculus

Calculus considers many interesting questions about how functions behave, and time spent motivating the inquiries that necessitate the technical process of differentiation and integration can add depth to all of your work. In this course, we explore ways to activate your students’ intuition about long term behavior, what it means to approach a limit and what are the fundamental properties of the function we use to model the world. We will use Desmos and spreadsheets in our explorations.

### Teaching Geometry While Effectively Integrating Algebra

Especially in this era of possible distance learning, it is more important than ever to choose problems that will engage and interest students. One of the terrific ways to do this is by selecting problems that are geometric in nature, but are written in a way as to allow and even encourage a coordinate geometry approach that uses algebra. These problems help solve the age-old problem of students losing their facility and knowledge of algebra during their year studying geometry. This course will concentrate on problems and topics in geometry that present teachers wonderful opportunities to use their student’s algebra skills while learning or discovering important geometric ideas. We will also learn how to use Geogebra and/or Geometer’s Sketchpad as a great tool to help visualize and model these problems. Learn to bring new energy and enjoyment to topics that are all too often dull and boring to teachers and students alike. This course is appropriate for both algebra and geometry teachers.

## Virtual EMI afternoon courses

### Lab Based Calculus

Explore a problem-centered curriculum that is built around labs that emphasize graphical and numerical investigations. The focus of these investigations is to develop an understanding of essential calculus concepts and their symbolic representations.  Throughout the problem sets and labs, there are opportunities to explore and write about the calculus ideas that are encountered.

### Engaging Algebra Problems

This course will emphasize interesting problems that allow Algebra I students to do mathematics, improve their problem-solving skills and think creatively while learning the basic techniques and concepts taught in Algebra I.

### Problems that Bridge Algebra and Geometry to Higher Level Mathematics

There are many wonderful problems that are accessible to algebra and geometry students that effectively help develop the analytical skills necessary for success in mathematics at the higher levels. This course will examine sequences of problems that start early in the mathematics curriculum and can be used to gradually develop concepts like optimization, instantaneous rates of change, limits, and other advanced topics without the formality introduced in a calculus class.

## Schedule

8:30 – 9:30 a.m. synchronous meeting
9:30 – 9:45 a.m. break
9:45 – 10:30 a.m. work together in small groups
10:30 – 10:45 a.m. break
10:45 – 11:30 a.m. together synchronously
11:30 – 12:30 p.m. lunch

12:30 – 1:30 p.m. synchronous meeting
1:30 – 1:45 p.m. break
1:45 – 2:30 p.m. work together in small groups
2:30 – 2:45 p.m. break
2:45 – 3:30 p.m. together synchronously