About the Course
Core Course
This course offers a comprehensive study of Algebra Alef with a Waldorf-inspired approach, integrating experiential learning, creativity, and an appreciation for the beauty and practicality of mathematics.
First Semester
Unit 1: Introduction to Algebra (2-3 weeks)
Introduction to algebraic expressions, terms, and variables:
Hands-on activities and real-world applications to illustrate algebraic concepts.
Unit 2: Linear Equations and Inequalities (4-6 weeks)
Study of linear equations and their solutions:
Slope and Rate of Change
Finding slope from graphs, tables, and algebraic methods
Graphing Linear Equations
Using slope-intercept form (y = mx + b)
Point-slope form and standard form
Understanding inequalities and their graphical representations:
Real-world problem-solving using linear equations and inequalities.
Unit 3: Functions and Their Graphs (4-6 weeks)
Introduction to functions and their notation.
Study of linear and nonlinear functions, including quadratic and exponential functions.
Hands-on exploration and graphing of functions.
Unit 4: Polynomials and Factoring (4-6 weeks)
Understanding polynomials, their properties, and operations.
Study of factoring and its applications in algebraic expressions.
Creative projects and exploration of polynomial patterns
Second Semester
Unit 5: Solving Systems of Equations (3-4 weeks)
Exploration of systems of linear equations and their solutions.
Understanding simultaneous equations and their graphical interpretations.
Real-world problem-solving using systems of equations.
Unit 6: Radical Expressions and Quadratics (3-4 weeks)
Study of radical expressions, square roots, and cube roots.
Understanding quadratic equations and their solutions.
Creative exploration and practical applications of quadratics.
Unit 7: Exponents and Exponential Functions (3-4 weeks)
Introduction to exponents, their properties, and operations.
Study of exponential functions and their applications in growth and decay.
Real-world examples and hands-on activities involving exponential growth.
Unit 8: Rational Expressions and Equations (4-6 weeks)
Exploration of rational expressions, their simplification, and operations.
Understanding rational equations and their solutions.
Real-world applications and creative projects related to rational expressions.
Unit 9: Culminating Project (3-4 weeks)
Students select an algebra-related project, research topic, or exploration to work on independently or in small groups.
The project should involve practical problem-solving and real-world applications of algebraic concepts.
Assessments: Assessment methods may include written assignments, creative projects, oral presentations, hands-on explorations, and a final project or presentation that integrates key concepts.