Textbook: \u201cIntermediate Algebra\u201d, by Richard Rusczyk and Mathew Crawford, the Art of Problem Solving series, ISBN-13: 978-1-934124-04-8<\/p>\n
For the upcoming semester (Fall 2019), we are teaching Algebra 2A.<\/p>\n
Course Introduction:<\/strong><\/p>\n Algebra 2 covers complex numbers, quadratic equations, conics, polynomials, functions, logarithms, cleaver factorizations and substitutions, systems of equations, sequences and series, symmetric sums, advanced factoring methods, classical inequalities, functional equations, and more. This course goes beyond what you would find in a typical honors Algebra II curriculum, as it covers topics found in honors Algebra II and Precalculus classes, as well as many topics no found in most other curricula. This is a one-year course and is divided into two parts to be taught in two semesters, Algebra 2A and Algebra 2B.<\/p>\n Algebra 2A covers complex numbers, conics, polynomial division, polynomial roots, factoring multivariable polynomials, sequences and series. Algebra 2B covers identities, induction, inequalities, exponents and logarithms, radicals, special classes of functions, and piecewise defined functions.<\/p>\n This course is intended for high-performing students and will focus on problem solving skills. Students will learn via practicing solving problems in the classroom. Each class will have 3 hours where after being introduced with the new material, students spend the rest of the classroom time practicing the new skills.<\/p>\n Who Should Take Algebra 2A:<\/strong><\/p>\n Students should have a mastery of basic algebra up through and including quadratic equations before taking this course. Typically this class follows our \u201cAlgebra 1B\u201d class. Students who have completed typical Algebra 1 may be ready for this class.<\/p>\n An entrance exam should be taken to evaluate student\u2019s readiness.<\/p>\n Who Should Take Algebra 2B:<\/strong><\/p>\n Students should have a mastery of basic algebra up through and including polynomials, sequences and series, advanced factoring before taking this course. Typically this class follows our \u201cAlgebra 2A\u201d class.<\/p>\n An entrance exam should be taken to evaluate student\u2019s readiness.<\/p>\n Requirements for Students Registering for Algebra 2A or Algebra 2B<\/strong><\/p>\n In general, students in grade 8 \u2013 10 are eligible to register for either one of Algebra 2 courses. All students interested in take any of these courses should pass the corresponding evaluation test. The test must be taken and submitted before the specified deadline posted by the school web site. The tests are posted on the school web site as well. Please check the class schedule at the school web site.<\/p>\n Teaching Plan <\/strong><\/p>\n 3.1 Arithmetic of Complex Numbers<\/p>\n 3.2 The Complex Plane<\/td>\n<\/tr>\n 3.4 Graphing in the Complex Plane<\/p>\n 3.5 Summary<\/td>\n<\/tr>\n 5.1 Parabolas<\/p>\n 5.2 Problem Solving With Parabolas<\/p>\n 5.3 Maxima and Minima of Quadratics<\/td>\n<\/tr>\n 5.5 Ellipses<\/td>\n<\/tr>\n 5.7 Summary<\/td>\n<\/tr>\n 6.1 Polynomial Review<\/p>\n 6.2 Introduction to Polynomial Division<\/td>\n<\/tr>\n 6.4 The Remainder Theorem<\/p>\n 6.5 Summary<\/td>\n<\/tr>\n 7.1 The Factor Theorem<\/p>\n 7.2 Integer Roots<\/td>\n<\/tr>\n 7.4 Bound<\/td>\n<\/tr>\n 7.6 Algebraic Applications of the Fundamental Theorem<\/p>\n 7.7 Summary<\/td>\n<\/tr>\n 8.1 Irrational Roots<\/p>\n 8.2 Nonreal Roots<\/td>\n<\/tr>\n 8.4 Using Roots to Make Equations<\/p>\n 8.5 Summary<\/td>\n<\/tr>\n 9.1 Grouping<\/p>\n 9.2 Sums and Differences of Powers<\/td>\n<\/tr>\n 9.4 Summary<\/td>\n<\/tr>\n 10.1 Arithmetic Sequences<\/p>\n 10.2 Arithmetic Series<\/td>\n<\/tr>\n 10.4 Geometric Series<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n <\/p>\n 10.6 Nested Sums and Products<\/p>\n 10.7 Summary<\/td>\n<\/tr>\n 11.1 Brute Force<\/p>\n 11.2 Ratios<\/td>\n<\/tr>\n 11.4 Binomial Theorem<\/p>\n 11.5 Summary<\/td>\n<\/tr>\n 12.1 Manipulating Inequalities<\/p>\n 12.2 The Trivial Inequality<\/td>\n<\/tr>\n 12.4 AM-GM Inequality with More Variables<\/td>\n<\/tr>\n 12.6 Maxima and Minima<\/p>\n 12.7 Summary<\/td>\n<\/tr>\n 13.1 Exponential Function Basics<\/p>\n 13.2 Introduction to Logarithms<\/td>\n<\/tr>\n 13.4 Using Logarithm Identity<\/td>\n<\/tr>\n 13.6 Natural Logarithm and Exponential Decay<\/p>\n 13.7 Summary<\/td>\n<\/tr>\n 14.1 Raising Radicals to Powers<\/p>\n 14.2 Evaluating Expressions with Radicals<\/td>\n<\/tr>\n 14.4 Summary<\/td>\n<\/tr>\n 15.1 Rational Functions and Their Graphs<\/p>\n 15.2 Rational Function Equations and Inequalities<\/td>\n<\/tr>\n 15.4 Monotonic Functions<\/p>\n 15.5 Summary<\/td>\n<\/tr>\n 16.1 Introduction to Piece-wise Defined Functions<\/p>\n 16.2 Absolute Value<\/td>\n<\/tr>\n 16.4 Floor and Ceiling<\/td>\n<\/tr>\n 16.6 Summary<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":" Textbook: \u201cIntermediate Algebra\u201d, by Richard Rusczyk and Mathew Crawford, the Art of Problem Solving series, ISBN-13: 978-1-934124-04-8 For the upcoming semester (Fall 2019), we are teaching Algebra 2A. Course Introduction: Algebra 2 covers complex numbers, quadratic equations, conics, polynomials, functions, logarithms, cleaver factorizations and substitutions, systems of equations, sequences and series, symmetric sums, advanced factoring […]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ngg_post_thumbnail":0},"_links":{"self":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/pages\/1106"}],"collection":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/comments?post=1106"}],"version-history":[{"count":15,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/pages\/1106\/revisions"}],"predecessor-version":[{"id":1667,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/pages\/1106\/revisions\/1667"}],"wp:attachment":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/media?parent=1106"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n\n
\n Algebra 2A<\/strong><\/td>\n<\/tr>\n \n Lesson 1<\/td>\n Ch 3. Complex Numbers<\/p>\n \n Lesson 2<\/td>\n 3.3 Real and Imaginary Parts<\/p>\n \n Lesson 3<\/td>\n Ch 5. Conics<\/p>\n \n Lesson 4<\/td>\n 5.4 Circles<\/p>\n \n Lesson 5<\/td>\n 5.6 Hyperbolas<\/p>\n \n Lesson 6<\/td>\n Ch 6. Polynomial Division<\/p>\n \n Lesson 7<\/td>\n 6.3 Synthetic Division<\/p>\n \n Lesson 8<\/td>\n Ch 7. Polynomial Roots, Part 1<\/p>\n \n Lesson 9<\/td>\n 7.3 Rational Roots<\/p>\n \n Lesson 10<\/td>\n 7.5 Graphing and Fundamental Theorem of Algebra<\/p>\n \n Lesson 11<\/td>\n Ch 8. Polynomial Roots, Part 2<\/p>\n \n Lesson 12<\/td>\n 8.3 Vieta\u2019s Formulae<\/p>\n \n Lesson 13<\/td>\n Ch 9. Factoring Multivariable Polynomial<\/p>\n \n Lesson 14<\/td>\n 9,3 The Factor Theorem of Multivariable Polynomial<\/p>\n \n Lesson 15<\/td>\n Ch 10. Sequences and Series<\/p>\n \n Lesson 16<\/td>\n 10.3 Geometric Sequences<\/p>\n \n\n
\n Algebra 2B<\/strong><\/td>\n<\/tr>\n \n Lesson 1<\/td>\n 10.5 Sequence, Summation, and Product Notation<\/p>\n \n Lesson 2<\/td>\n Ch 11. Identities, Manipulations, and Induction<\/p>\n \n Lesson 3<\/td>\n 11.3 Induction<\/p>\n \n Lesson 4<\/td>\n Ch 12. Inequalities<\/p>\n \n Lesson 5<\/td>\n 12.3 AM-GM Inequality with Two Variables<\/p>\n \n Lesson 6<\/td>\n 12.5 The Cauchy-Schwarz Inequality<\/p>\n \n Lesson 7<\/td>\n Ch 13. Exponents and Logarithms<\/p>\n \n Lesson 8<\/td>\n 13.3 Logarithmic Identity<\/p>\n \n Lesson 9<\/td>\n 13.5 Switching Between Logarithms and Exponents<\/p>\n \n Lesson 10<\/td>\n Ch 14. Radicals<\/p>\n \n Lesson 11<\/td>\n 14.3 Radical Conjugates<\/p>\n \n Lesson 12<\/td>\n Ch 15. Special Classes of Functions<\/p>\n \n Lesson 13<\/td>\n 15.3 Even and Odd Functions<\/p>\n \n Lesson 14<\/td>\n Ch 16. Piece-wise Defined Functions<\/p>\n \n Lesson 15<\/td>\n 16.3 Graphing Absolute Value<\/p>\n \n Lesson 16<\/td>\n 16.5 Problem Solving with the Floor Functions<\/p>\n