Honors Algebra 1B

Honors Algebra 1B is the second semester in a two-semester series that sets the foundational building blocks of functions for all mathematics courses that follow, including geometry, algebra 2, and pre-calculus. Students will explore linear equations, linear inequalities, polynomials, quadratics, and exponentials, making connections between the various forms and discovering applications to the real-world. In Honors Algebra 1B, students will dive deeper into exponential relationships, explore exponent properties, and discover the multiple methods of solving quadratic functions. Students will also sharpen their skills of simplifying radical expressions with and without technology. As an advanced pathway course, Honors Algebra 1B will emphasize higher order thinking skills, justifying claims, utilizing multiple representations, and creating models related to authentic scenarios and careers.  

Upon completing this course, you will be able to—

• graph exponential relationships, quadratic and exponential functions;
• write and exponential relationships given multiple representations (graphs, tables, and verbal situations) for growth and decay models;
• utilize the properties of exponents to simplify expressions;
• solve quadratic equations with a variety of algebraic methods, including the quadratic formula, completing the square, factoring, and solving graphically;
• use models of best fit (quadratic and exponential regressions) to estimate solutions and make predictions for real-life applications;
• simplify radical expressions;
• write and describe geometric sequences. 

• Interactive Notebook – In the form of a small composition notebook, a spiral notebook, or loose-leaf paper kept in a binder.
• Pencil or Pen – In order to do well in the course, you must take notes, sketch diagrams and graphs, and solve problems when instructed to do so.
•  Graphing calculator (TI-84 or similar is recommended) 

The final examination is comprehensive; it covers the material from all 4 units.

• Format: Multiple-choice, online
• Time Allowed: 3 hours 

• Unit 5: Exponential Relationships
• Unit 6: Polynomials
• Unit 7: Quadratic Functions
• Unit 8: Radicals & Solving Quadratics