## 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

*2019-2020*

**Trigonometry**

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

**Infinity**

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

**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

*2020-2021*

**Polynomials**

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

**Functions**

Students will study a lot of the extra buttons on their scientific calculator: what they mean, how they are used and how to graph them. Powers, logarithms, natural logarithms, trigonometric functions and more!

Course Syllabus

## level 4 science

*2019-2020*

**Engines and Entropy**Students are introduced to the concepts of force, pressure, volume and temperature to understand how the atmosphere exerts a force, pressure, on all objects. They then learn about entropy, the idea that a system is always increasing in disorder or randomness. From the simple catapult to steam engines to internal combustion engines, they all take advantage of the thermodynamic relationships between pressure, volume, temperature, and entropy to produce force and motion.

Course Syllabus

**Geophysics**

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

*2020-2021*

**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

**Atomic Theory**

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

Course Syllabus**Biochemistry**

Living organisms are composed of unique molecules that are not found in non-living things. The molecular basis of life boils down to an organism’s makeup of proteins, carbohydrates, lipids, and nucleic acids. Biochemistry studies the structure and function of these important molecules of life.

Course Syllabus