Applications of Chemistry

Students will study the theories and laws of chemistry. Topics include stoichiometry, chemical periodicity, chemical bonding, organic chemistry, equilibrium, and redox reactions. Each topic will be presented both with some theoretical classroom presentation followed by laboratory reinforcement. 

Examples of instructional topics: 

• stoichiometry can be learned by repeating some of the original work by Lavoisier
• periodicity by comparing reaction rates along a column of halides
• redox reactions by construction of functional chemical batteries

Fundamentals of Motion

Students will explore several areas of physics. Topics include kinematics, statics and dynamics, energy, and momentum through demonstrations and experimentation of design techniques, technical writing, and learning how to manipulate variables and physical concepts.

Examples of instructional topics: 

• statics and dynamics can be learned by bridge building
• energy by building a lab-sized hydroelectric dam
• momentum by predicting then monitoring ballistic motion

Highlights of Algebra II and Trigonometry

Algebra II and Trigonometry will actually be two separate courses using the same resources but with different emphasis.

Emphasis will include:

• quadratic and cubic polynomials
• the binomial theorem
• the Principle of Mathematical Induction
• irrational expressions
• complex numbers
• exponential and logarithmic functions.

The key feature of these presentations will be putting the students into the mathematics laboratory so that they can actually do calculation projects requiring them to use what they have learned to achieve a real-world result.

Getting into Calculus

For students who have never taken calculus. Students will explore functions, limits, continuity, and derivatives, using graphical approach to study slope of the curve. The key feature of these presentations will be using mathematics to calculate rates of real-world events.

Using Technology in Math

Students will be exposed to technology tools to gain experience interpreting the output of technology, an important skill in today’s world. Helps students focus on the meaning and value of the numbers and expressions they enter into a calculator and on the results they generate. Also, students learn how to use the Internet for algebra and calculus.

The Golden Ratio

Students will discover nature’s perfect number and universal truths as old as time itself. Students will examine works of architecture to find the Divine Proportions within nature and life as well as within the famous architectural structures and the paintings of Leonardo da Vinci. The goal of this course is to help students develop an intrinsic interest in numbers and number manipulations, making mathematics more interesting.