Visualizing Algebra | Patterns and Problems
Details
Throughout this course, we will use algebra to quantify and describe the world around us. Have you ever wondered how many songs can fit onto your flash drive? By the end of the course, you’ll have stronger skills for modeling problems, analyzing patterns, and using algebra to arrive at conclusions.
Understand and develop the language, models, and tools for math reasoning.
Reason with numbers and units to solve problems.
Identify, analyze, extend, and create patterns and functions.
Make connections about relations and functions through multiple representations: graphs, charts, tables, equations.
Apply mathematical reasoning and logic to solve equations and write equivalent forms.
Almost nothing! Students should know their multiplication tables (1-12) and be proficient with adding and subtracting integers (for example, -7 - 16). A pencil and paper will be a student’s best aid rather than a calculator.
Outline
Unit 1 - Review of Foundations
Unit 2 - Equations and Inequalities
Unit 3 - Graphs of Linear Equations
Unit 4 - Systems of Equations
Unit 5 - Exponents and Polynomials
Unit 6 - Factoring
Unit 7 - Rational Expressions
Unit 8 - Rational Exponents and Radicals
Unit 9 - Solving Quadratic Equations
Unit 10 - Quadratic Equations and Applications
Unit 11 - Conic Sections
Unit 12 - Inverses, Exponentials, and Logarithms
Our mission is to bring accessible, affordable, engaging, and highly effective higher education to the world. We believe that higher education is a basic human right, and we seek to empower our students to advance their education and careers.
Education is no longer a one-time event but a lifelong experience. Education should be less passive listening (no long lectures) and more active doing. Education should empower students to succeed not just in school but in life.
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