## Level 3 – Grades 5 & 6

**Level 3 ****Suggested Prerequisite Understanding– **Our courses are designed with the following assumptions of student knowledge:

- Able to follow multi-step written procedures
- Able to record information in tables, and starting to produce their own labeled tables for data
- Able to write and compare fractions and decimals
- Able to multiply multi-digit numbers, and able to divide single-digit numbers into multi-digit numbers
- Able to take averages

## Level 3 Math

**2017-2018**

**Complex Numbers**

Complex numbers aren't that complex. This course will help contextualize the basic properties of the number line and how our basic mathematical operations move around on that number line. Through graphing and variable manipulation, students will explore the realm of complex and imaginary numbers.

Course Syllabus

**Algorithms**

In this course students examine rules and processes for everything from addition and multiplication to cooking, physical movement, and scientific computing. Students learn to define, create, use, and analyze algorithms for both calculation and everyday actions.

Course Syllabus

**Greek Math**

The Pythagoreans are most notable for their theorems, one famous one in particular! Students learn these theories and how to apply them to solve real world problems. Students expand their knowledge of triangles using geometry, classification and trigonometry.

Course Syllabus

**2018-2019**

**Permutations and Combinations**

Combinatorics is the study of counting – but not like any counting you've done before! Using probability and set theory, this course will consider how to enumerate combinations and permutations to answer the age old question of "how many ways can I do this?"

Course Syllabus

**Recursion**

Beginning with famous examples like the Fibonacci Sequence and the Sierpinski Triangle, this course will examine the idea of recursion and how self-similar repetition can create beautiful and dynamic mathematical results. Students will focus on using equations and graphs to analyze number sequences and patterns.

Course Syllabus**Circular Geometry**

Pi is one of the most important numbers ever conceptualized by mathematicians. Focusing on pi, and other irrational numbers, students will discover where these numbers come from, how to find them, and where these numbers can be found in the world around us.

Course Syllabus

## level 3 Science

**2017-2018**

**Geochemistry**

Explore the world of rocks, minerals, and crystals as well as the chemical and physical processes behind their formation. Through laboratory experimentation - growing crystals, melting metallic crystals, extracting elements from their ores, and more - students discover the origin and nature of the the rocks and minerals of the earth’s crust. *(Course syllabus coming soon)*

**Neuroscience**

Neuroscience explores the nervous system, and how the information from our five senses reaches our brain. Students perform experiments to test their senses and how they can be tricked, and use this information to understand the pathways in which sensory information travels throughout the body.

Course Syllabus

**Space Science**

Course description coming soon*(Course syllabus coming soon)*

**2018-2019**

**Chemical Reactions**

The thrilling reality and amazing ideas of chemistry come to light through study of chemical reactions. In this course, students conduct experiment after experiment and discovering patterns of reactivity amongst the chemical elements, how they behave, and how they interact. Students build their own understanding of chemistry making the observations and meaning from the data they collect.

Course Syllabus

**Electricity**

Learn the basics of charges, currents, batteries, and circuits. Students perform experiments to get a better understanding of how electricity works. The course has units on magnetism with real life applications of the concepts and demonstrates how electricity and magnetism are related.

Course Syllabus

**Dissection & Physiology**

Explore the structure and function of the major organ systems in the body. Students perform experiments to see how each organ system performs the necessary functions of life, such as digestion and respiration. There will be dissections of an earthworm and frog for students to identify organs and examine how these organ systems interact, benefiting the organism as a whole.

Course Syllabus