Algebra Honors

Algebra Honors (2024-25)

Teacher: Narender Gupta

Sept 2024 - May 2025: Tuesday 6:30 - 8:00 pm ET

Schedule: The full course includes 33 classes, each lasting 90 minutes, and 14 tests

Sept: 3, 10, 17, 24

Oct: 1, 8, 15, 22, 29

Nov: 5, 12, 19, 26

Dec: 3, 10, 17, 24, 31

Jan: 7, 14, 21, 28

Feb: 4, 11, 18, 25

Mar: 4, 11, 18, 25

Apr: 1, 8, 15, 22, 29

May: 6, 13, 20

No classes on 10/8, 12/24, 12/31, 3/4, 4/15. Fee is calculated based on 33 scheduled classes and there is no charge for holidays.

Fees: Pick any option below:

• Full prepay: $792 ($24 for each 90 minute class - Avg to $16/hour)

• Pay as you go: $36/class

Fee is calculated based on 33 scheduled classes and there is no charge for holidays.

Interested in Asynchronous participation?

Instead of attending live classes, you'll watch the sessions recording during the same week. You’ll receive the same homework and materials, and take part in all the tests just like our regular students.

Fee for asynchronous attendance: $396

Note: No refunds will be provided for students who switch from live in-person or online classes to asynchronous classes after the course has begun.

Embark on a journey through the fundamental principles of Algebra with our comprehensive course designed around the acclaimed Art of Problem Solving (AOPS) Introduction to Algebra textbook. This course lays the groundwork for a solid understanding of algebraic concepts, preparing students for higher-level mathematical challenges. Through engaging lectures, interactive discussions, and hands-on problem-solving sessions, students will develop a deep understanding of arithmetic and  algebraic operations. Our course offers a structured approach to learning mathematical concepts and problem-solving techniques.

The course begins with foundational principles in algebra, emphasizing the importance of following rules, understanding numerical operations, and mastering the order of operations. It covers topics such as numbers, order of operations, equations, exponents, fractions, radicals, and their applications.

Moving forward, the course explores expressions, arithmetic operations with expressions, distribution, factoring, and fractions. It then progresses to linear equations, introducing techniques for solving one-variable linear equations, word problems, and equations involving multiple variables.

Further we delve into ratios, percents, proportions, graphing lines, inequalities, quadratic equations, special factorizations, complex numbers, and graphing quadratics. It also covers functions, their composition, inverse functions, operations, and graphing.

Other topics include polynomials, exponents, logarithms, special functions, sequences, and series. Additionally, the course offers insights into special manipulations such as raising equations to powers, self-similarity, and symmetry.

This course is designed for students aiming to build a strong foundation in mathematics and excel in algebraic problem-solving. By the end of the course, students will have developed a strong foundation in key mathematical concepts and problem-solving skills. They will be well-prepared to tackle more advanced mathematical topics and continue their mathematical journey with confidence and enthusiasm. Join us as we embark on an exciting adventure into the fascinating world of mathematics!

Textbook: https://artofproblemsolving.com/store/book/intro-algebra

Textbook ISBN: 978-1-934124-14-7

Solutions ISBN: 978-1-934124-15-4

Algebra Honors Lesson Plan:

• Class 1: Follow the Rules Day 1: Numbers, Order of Operations, Distributing, and Factoring

• Class 2: Follow the Rules Day 2: Equations, Exponents, and Radicals

• Chapter 1 Test

• Class 3: Variables: Arithmetic with Expressions, Distribution, Subtraction, Factoring and Fractions

• Class 4: One-Variable Linear Equations: Solving Linear Equations, Word Problems and Linear Equations in Disguise

• Chapter 2 and 3 Test

• Class 5: More Variables: Evaluating Multi-Variable Expressions, Arithmetic with equations, Distribution vs. Factoring

• Class 6: Multi-Variable Linear Equations Day 1: Fractions and Equations, Two-Variable Linear Equations, Substitution, and Elimination

• Class 7: Multi-Variable Linear Equations Day 2: Word Problems, More Linear Equations in Disguise, More Variables

• Chapter 4 and 5 Test

• Class 8: Ratios and Percent Day 1: Basic Ratios, Conversion Factors and More Challenging Ratio Problems

• Class 9: Ratios and Percent Day 2: Percent and Percentage Problems

• Chapter 6 Test

• Class 10: Proportion Day 1: Direct Proportion, Inverse Proportion and Joint Proportion

• Class 11: Proportion Day 2: Rate Problems, Graphing Lines Day 1: Number Line, Cartesian Plane, Introduction to Graphing Linear Equations

• Chapter 7 Test

• Class 12: Graphing Lines Day 2: Using Slope, Slopes and Intercepts, Comparing Lines and Finding Equations

• Class 13: Inequalities: Linear Inequalities, Comparing (< or >), Graphing Inequalities, and Optimization

• Chapter 8 and 9 Test

• Class 14: Quadratic Equations Day 1: Quadratic Equation basics and Factoring Quadratics

• Class 15: Quadratic Equations Day 2: Factoring Quadratics, Roots of Quadratics, Sums and Products of Roots of a Quadratic

• Chapter 10 Test

• Class 16: Quadratic Equations Day 3 (Special Factoring): Squares of Binomials, Difference of Squares, and Sum and Difference of Cubes

• Class 17: Quadratic Equations Day 4 (Special Factoring): Rationalizing Denominators, and Simon's Favorite Factoring Trick

• Chapter 11 Test

• Class 18: Imaginary and Complex Numbers: What are Imaginary and Complex Numbers?, arithmetic with complex numbers

• Class 19: Quadratic Equations Day 5: Squares of Binomials Revisited, Completing the Square

• Class 20: Quadratic Equations Day 6: Quadratic Formula and its applications

• Chapter 12 and 13 Test

• Class 21: Graphing Quadratics: Parabolas and Circles

• Class 22: More Inequalities: Quadratic Inequalities, Beyond Quadratics, The Trivial Inequality and Quadratic Optimization

• Chapter 14 and 15 Test

• Class 23: Functions Day 1: The Machine, Combining Functions, and Composition

• Class 24: Functions Day 2: Inverse Functions, Problem Solving with Functions, and Operations

• Class 25: Graphing Functions: The Basics, Transformations and Inverse Functions Revisited

• Chapter 16 and 17 Test

• Class 26: Polynomials: Polynomials explained, Addition, Subtraction and Multiplication of polynomials

• Class 27: Exponents and Logarithms Day 1: Exponential Functions, Show Me the Money

• Class 28: Exponents and Logarithms Day 2: What is a Logarithm and some Interest--ing Problems

• Chapter 18 and 19 Test

• Class 29: Special Functions Day 1: Radicals, Absolute Value, Floor and Ceiling

• Class 30: Special Functions Day 2: Rational Functions and Piecewise Defined Functions

• Chapter 20 Test

• Class 31: Sequences & Series Day 1: Arithmetic Sequences and Arithmetic Series

• Class 32: Sequences & Series Day 2: Geometric Sequences, Geometric Series and Telescoping

• Chapter 21 Test

• Class 33: Special Manipulations: Raising Equations to Powers, Self-similarity and Symmetry