##### 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

###### 2021 - 2022

Fall

Math - Trigonometry

Do you know there is a (relatively) simple way to measure the distance between two stars in the sky?

The humble triangle turns out to be an amazingly useful mathematical object, instrumental for both building cities and mapping the cosmos. Students embark on a unique math journey, where theory and application commingle. In the end, students uncover the trigonometry functions like sine and cosine (on their own through necessity, not because we just tell them what they are!) and explore how these little mathematical tools can help us describe countless natural phenomena … essentially anything which is cyclic (think heart rate, think seasons …)

Science - Engines and Entropy

From a few simple experiments on air (not hard to find!), students uncover a hidden force lurking right on top of our heads and literally equivalent to multiple elephants! Hint: how forcefully does nature snap back when you try to pull a vacuum? 18th-century engineers figured out a way to harness this force, convert it to mechanical energy, and wallah, you have a steam engine, oh, and an industrial revolution.

But something else caught the attention of the most observant of scientists, at the time. They noticed the engine builders frustratingly hit a hard ceiling of efficiency regardless of engine design. Another revolution was afoot, this one in fundamental physics, and would eventually lead scientists to sweeping ideas on order and chaos and time itself. Students follow these developments, grapple with this new idea in science, to be called entropy, and learn a lot of practical engineering along the way!

Winter

Math - 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.

Science - 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.

Spring

Math - 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.

Science - 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.

###### 2022 - 2023

Fall

Math - 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.

Science - Atomic

The Hydrogen atom has one electron whizzing around the nucleus, made up of one proton. How do we know this?

In QuantumCamp's Atomic Physics Fall Homeschool course, students will discover, first hand, the nature of every atom in the universe!

By the 1800s, Isaac Newton's intuitive and logical physical laws were inadequate to make sense of new data emerging on the colors of stars, chemical flames, and hot objects. A different science was needed! In 1913, Neils Bohr planted the seed for a new picture of matter, which beautifully resolved the questions of flame color. In this course, students embark on an experiment-based historical journey that leads to the discovery of the structure of nothing less than every atom in our universe!

Winter

Math - Statistics

Data is like Art--depending on how it’s presented, it can mean two completely different things. How can we extract useful information from data, while making sure that is both accurate and precise?

Statistics consists of many techniques that can help us to answer many types of questions that we may have regarding a given set of numbers. In particular, they help us gain confidence in our experimental results, which allows us as a society to continue making advancements.

This course will be exploring how we describe, interpret, and communicate data. introduces descriptive, quantitative, and graphical techniques to analyze data for meaning. Students learn to calculate mean, median, mode, range, standard deviations, weighted averages, and probability. Students use examples of data sets as well as gather their own data for statistical analysis. This course also introduces the concept of inference and accepting or rejecting a hypothesis based on the relative likelihood of occurrence.

Science - Biochemistry

Organic molecules are the building blocks of life!  We see carbohydrates, fats, and proteins on nutrition labels- what are these molecules, and how are they used and created by living organisms?

Atoms make up everything in the universe, combining to make the molecules of every substance.  The molecules in living things are particularly complex, but many processes in the human body is governed by chemical reactions between atoms in our body and those in the foods we eat.

We’ll take a deep dive into the different types of organic molecules, discovering the structure, functions, and properties of everything that is chemically required for life.

Spring

Math - Logic and Functions

How can we be certain of the truth? In our modern era, we know the truth can be frustratingly elusive!

Thankfully, there are good ways to be sure if a statement is true or false. Students experiment with language and math to arrive at rules which form the basis of logic. They piece together proofs of assertions, both mathematical and otherwise, and compare against the approach of ancient Greek geometers and philosophers. Students work towards the modern idea of the mathematical function designed to efficiently convert the input into output and will see how complex math ideas can actually be made quite simple using a simple function!

Science - Periodic Table

All detectable matter in the universe can be assembled into a table of elements organized by a unifying scientific principle! A Siberian scientist named Dmitri Mendeleev confidently made this striking proclamation in 1869, creating one of the first versions of the Periodic Table of Elements. How did he come to believe that this was possible and how did he accomplish this amazing scientific feat?

Our students recreate the key experiments of the 18th and 19th centuries, which led to this achievement. They are challenged to find the relationships lurking amidst the basic building blocks of matter and uncover the science behind it all.