Algebra
Introduction to Algebra is the foundation of upper level mathematics. In Algebra we study linear equations, quadratic equations, graphing, and solving for the unknown. This course contains all of a typical Algebra 1 course and most of a typical Algebra 2 course. If your student only wants to complete Algebra 1, then he will stop after Chapter 14 in the text.
Students complete Algebra by:
1. register for email list to join the live class
2. download the syllabus
3. join live class
4. complete the homework assignments
5. email questions to tutor
6. complete triads at the end of each chapter
7. receive feedback
- Prerequisites:
- PreAlgebra
- Materials:
- The Art of Problem Solving's Introduction to Algebra
- Graph paper
Please see the syllabus and AOPS grid below to understand the course progression.
Wednesdays @ 3 PM
Sept 4 - May
Course Content
Units
- LOGISTICS, RESOURCES, & REGISTRATION
- AOPS Chapter 1 : Arithmetic 1 week
- AOPS Chapter 2 : Expressions Play with numbers by adding the elusive variable 1 week
- AOPS Chapter 3 : Single Variable Linear Equations Learn the three steps to solving single variable linear equations 2 weeks
- AOPS Chapter 4 : Variables Simplify expressions which contain multiple variables 2 weeks
- AOPS Chapter 5 : Systems of Linear Equations Solve systems of linear equations using substitution and elimination 2 weeks
- AOPS Chapter 6 : Ratios & Percents Relationships between quantities can take many forms 2 weeks
- AOPS Chapter 7 : Proportion Dive into proportion, rates, and word problems. 2 weeks
- AOPS Chapter 8 : Graphing Lines Graph linear equations and evaluate slope, intercepts, and intersections 2 weeks
- AOPS Chapter 9 : Inequalities Work with solving and graphing inequalities 2 weeks
- AOPS Chapter 10 : Quadratics & Factoring Learn about quadratic equations, expanding, and factoring 2 weeks
- AOPS Chapter 11 : Special Factorizations Look at working with some special factorizations 45 min
- AOPS Chapter 12 : Complex Numbers Define and calculate basic operations with complex numbers 1 week
- AOPS Chapter 13 : Quadratic Equations & Formula Work with more quadratic equations by completing the square and calculating the quadratic formula 2 weeks
- AOPS Chapter 14 : Graphing Quadratics
- AOPS Chapter 15 : More Inequalities 1 week
- AOPS Chapter 16 : Functions 2 weeks
- AOPS Chapter 17 : Graphing Functions Practice graphing functions and identifying graphs of functions 1 week
- AOPS Chapter 18 : Polynomials 1 week
- AOPS Chapter 19 : Exponents & Logarithms 1 week