# The Story of Algebra- Full year Course

Schedule:This is a Self-Paced CourseGrade Span:6th, 7th and 8th grade

## About This Course

Algebra builds upon Greek geometry and marks the next great leap in the history of mathematics. It truly gave life to the static mathematical structures developed by Euclid and it breathed flexibility into his immovable, sterile squares and circles. Algebra allowed these shapes to stretch and morph into the living, moving shapes, which define reality as we know it. Algebra is a set of mathematical tools, through which we can create models describing the countless phenomena occurring everywhere. What can you create and what can you explain using the tools of algebra?

As part of this great leap forward, mathematicians viewed their subject as a wide-open landscape beckoning new discoveries, not as some pre-ordained system with a fixed set of rules. “What happens if you try this?” is their guiding question. In the Story of Algebra, this is our guiding question. Students create the tools of Algebra on their own and ultimately discover the rules which seem to make the subject so versatile and useful. Mathematicians of history wondered if it was possible to literally overlay physical space with a system of mathematical points to facilitate rigorous descriptions of movement through space. In this course, students experience their own journey of mathematical discovery and probe how to explain our world through the tools of algebra.

__Prerequisites__- Solving for one unknown in an algebraic equation (ideally, students should have taken or be currently taking pre-algebra or algebra)
- Graphing Skills: determine scale for coordinate axes, properly drawing and labeling axes
- Familiarity with the Scientific Method and simple experimental design,
- Ability to collect and record their own data
- Basic knowledge of or exposure to general chemistry is recommended (e.g. structure of atoms, types of molecular bonds, polarity, acids and bases, and converting between grams and moles)

__Unit Titles__- Unit 1 - Coherent Operations
- Unit 2 - Solving for Unknowns
- Unit 3 - Recursions and Series
- Unit 4 - Linear Equations
- Unit 5 - Quadratic Equations
- Unit 6 - Polynomials

## How a Self-Paced Course Works

Each lab follows the same format:

- Students are presented with a challenge
- Students view a pre-recorded instructor-led dem video
- Students conduct an at-home (hands-on and offline) lab project
- Students engage in interactive group discussions
- Students solve the challenge

In addition, students can access weekly QC Learning Extensions (a set of videos and readings that reinforce topics discussed in class), and students will have the opportunity to complete an assigned problem set designed to deepen an intuitive understanding of the topics and demonstrate their knowledge.

There are 6 Units spanning an academic year. Each Unit consists of 9 or 10 labs. Students can proceed at their own pace, what typically works is spending 45 minutes to 1 hour per day, each week.

At the end of each unit, students have the opportunity to use their newly discovered mathematical and scientific knowledge to solve a problem of their choosing.

QC’s challenge-based approach to science and math connects kids to our amazing earth, teaches them intuitive understanding, and encourages them to think logically and compassionately.