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

2021 - 2022


Math - Formulae

Is math really behind everything? 


Students see what things, phenomena, natural processes occurring everywhere all of the time can be described by math. Are there things beyond what math can describe? Are there things which are too complex? Are there things where the math is just jumping out at you and super easy to describe? Either way, this is the major thrust in the course. Students observe and look for patterns in anything.  In the end, they are sure to discover really simple ways to describe the world using math. They may even see why it is a useful thing to do! 

Science - The Solar System 

Can you prove the earth is not flat and the sun does not orbit the earth? 


The quest to make sense of our earth and the part of the universe it travels through has always captured the interest of the stargazers, philosophers, and storytellers among us. But if you are going to get scientific about it, you must measure a few things. And this is where we begin. Students simply track the motion of the stars and planets. By the end, after truly following in the footsteps of Tycho Brae, Copernicus, Galileo, and Newton, students solve the problem of tides, seasons, and time itself … and disprove a few misconceptions along the way.


Math - 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.


Science - 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.   


Math - 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.

Science - Geochemistry

What explains the beauty, similarities, and differences of rocks and minerals?

Students grow crystals, melt metal and recrystallize under different conditions. They devise methods to extract elements from their ores. Out of this laboratory work, students will see the connection between rocks and minerals and the atoms and molecules that make them up. These connections are impacted by all of the dynamic chemical and physical processes continually reshaping our amazing earth.

2022 - 2023


Math - Permutations and Combinations

In QuantumCamp's Permutations and Combinations Fall Homeschool course, students spend 10 weeks learning how to count. Well, there is a bit more to it! Students are counting possible outcomes, possible ways of doing something, and possibilities of choosing specific types of objects within a set. The course touches on concepts in enumeration, number theory and introductory statistics to build up a firm understanding of permutations and combinations.


Students will explore patterns, sequences, and problem types that make up the field of Combinatorics and how these concepts are used in daily life. Each activity is paired with a set of at-home extensions encouraging students to explore the concepts from class and practice their math skills. Students will work individually to develop skills at their own pace while working as a group to expand conceptual knowledge. This course and its extensions will develop skills in problem-solving, defining variables, solving equations, and arithmetic patterns.

Science - Electricity

What really is electricity? Students follow the history of our understanding of electricity, uncover the origin of the phenomenon, and learn to apply it in simple circuits and devices.

Every session begins with a challenge, which will be solved through an instructor-led demo online, interactive group discussions, and one at-home, offline lab project assigned each week.  


Math - Recursion

Nature is filled with countless patterns that formed as a result of repeated processes. How can we use these patterns to predict other values?


Patterns can be observed almost everywhere and on almost every scale. For instance, spiral patterns can be found on both a small pinecone and in our Galaxy, the Milky Way. Regardless of the situation, if we can mathematically describe common patterns that occur in Nature, we can then predict their eventual outcomes.  


This course uses concepts in algebra, logic, and geometry and applies them to the greater concept of recursion. Recursion is the repeated application of a procedure or definition to a set of initial conditions. Skills developed in this course include how to define and manipulate variables, and how to write and solve equations. Students will also discover how to evaluate arithmetic patterns, and read dynamics from graphs.


Science - Dissection

How can we understand the diversity and complexity of life on Earth?  


In the 1700s, Carl Linneas used comparative anatomy to classify different types of organisms.  We now know that animals have many different structures, from simple to complex, that help them survive.  These structures form organs and organ systems, such as the digestive system, respiratory system, and circulatory system.


In this course, students will have the opportunity to observe dissections of various organisms, and compare their organ systems to our own.  Additionally, they’ll have a chance to create models of different organ systems, including those found in the human body and those in other animals.  We’ll focus on building knowledge of anatomy and physiology through a comparative lens, learning what makes members of the animal kingdom different from each other, and how we can use this knowledge to classify living things.  


Math - Circular Geometry

The simple circle, with no beginning or end, really only exists inside the human mind. Yet, this abstract idea is the beginning point for understanding a countless range of cyclic and repeating phenomena guiding so much of our universe. 


Students first simply try to measure it (not so easy when you try to be precise!). Quickly, the circle’s own intriguing properties come to light. The nature of Pi is investigated. Angle measurement and degrees are studied. Students follow in the footsteps of Euclid constructing circles from first principles. In the end, students learn to apply the mathematical ideas of circles to various real-world topics.

Science - Chemical Reactions

What are the hidden patterns lurking amongst the chemical elements of our universe?


Discover the rules that govern chemical reactivity and thereby provide insight into the grand patterns governing all matter. In the process, there may be surprising color changes, sudden eruptions, and small bursts of flames. Can you find the patterns hidden amongst these fascinating reactions?