## Level 4 – Grades 7 & 8

**Level 4 ****Suggested Prerequisite Understanding ** – Our courses are designed with the following assumptions of student knowledge:

- Exposure to Scientific Notation
- Setting ratios, comparing ratios
- Exposure to solving for unknowns in equivalent ratios
- Solving for one unknown in an algebraic equation
- Graphing Skills: determine scale for coordinate axes, properly drawing and labeling axes

## level 4 math

**2016-2017**

**Euclid's Constructions**

Using Euclid's *Elements* as a guide, students explore geometry through Euclid's famous text and other historical applications from around the world. Using a variety of methods, students will focus on creating geometric proofs and constructions.

Course Syllabus

**Powers of X**

From linear and quadratic equations to the infinite summation, polynomials are fundamental tools for describing the world around us. In this course, students investigate polynomials of varying degrees learning how to identify their graphical qualities and how to manipulate them algebraically.

Course Syllabus

**Statistically Significant**

In this course students explore the mathematical principles behind statistics and data analysis. Using probability and random variables students will analyze real data sets and use mathematics to draw conclusions about real-world scenarios.

Course Syllabus

**2017-2018**

**Infinite Ideas**

What is infinity and exactly how big is it? Students will explore the different concepts of infinity using set theory. This course will combine a hands-on approach with mathematical analysis to approach the axiomatic systems that contextualize infinity.

Course Syllabus

**Celestial Math**

Exploring the early discoveries in astronomy and navigation, students will learn the methods and techniques developed by mathematicians to measure and define both the earth and the heavens. Tracking advances through time students will follow the discovery of modern trigonometry.*Course syllabus is coming*

**The Matrix**

In this course students will examine the matrix as a 2D numerical object and develop an understanding of the arithmetic possibilities of such an object. Examining application in linear systems of equations and computer programming students will learn tools to analyze and process multi-dimensional data.*Course syllabus is coming*

## level 4 science

**2016-2017**

**Periodic Table**

This laboratory chemistry course allows students to conduct the major historical experiments that led to the grandest achievement in chemistry: the assembly of all the matter in the universe into a periodic table that ultimately expresses all chemical principles.

Course Syllabus

**Quantum Physics**

Our foundational science course, bringing one of nature's most fascinating realities into the palm of your students' hands. This study of quantum physics is an unforgettable journey.

Course Syllabus**It's All Relative**

Begin learning about the classical ideas of relative motion. Learn how scientists measure the speed of light, and how it seems to be constant, regardless of the frame of reference of the observer. Incorporating this observation into the equations of motion leads to the most famous equation: E = mc^2.

Course Syllabus

*2017-2018*

**Tectonics**

Through a series of observations of rock types and patterns, a dynamic story of our earth emerges. Students discover plate tectonics – one of the greatest scientific theories, ever, that aims to explain the shape of continents and the nature of the landforms on them.

Course Syllabus

**Evolution**

Through the study of fossils, comparative anatomy, and genetics, students compile evidence for the interrelatedness of species and life on earth. Out of their analysis, Darwin's theory of evolution by natural selection is assessed.

Course Syllabus

**Gaia Theory (Biogeochemistry)**

Students investigate the interactions amongst living things and the earth while developing a deeper comprehension of the balance within the ecosystems of our earth.

Course Syllabus