The lessons are created as multiple-choice questions, and when you answer a question, you receive an immediate response. The Algebra through Function series contains 5 apps and 41 embedded lessons.
Since the primary mode of operation of the brain is pattern generalizing, almost all of the lessons are structured as pattern-building activities leading to a mathematical generalization. To help you generalize the patterns, record any algebra in the question on paper and next to it write the correct answer which will help you see a pattern developing toward a mathematical goal.
When you connect new algebraic concepts to existing long-term memories of previously learned algebra, the brain understands the new concept or procedure in the lesson. Function representation and function behaviors connect all of the algebra.
The apps are designed for students in first or second year algebra, and college students in remedial algebra courses. While the lessons are teaching in nature, they are also for review in preparation for tests.
The graphing calculator is required and is used to help develop patterns and provide visualizations of the algebra in the lessons. It is crucial because visualizations lead to understanding. In addition, the graphing calculator processes function representation and function behaviors, which are at the core of learning algebra through function.
The Content Author:
The author has 16 years of experience writing multiple-choice questions for college placement tests, for end-of-year exit exams, and for pre-service teacher proficiency tests.
Solving Equations Containing the Core Functions of Algebra
1. Solving Equations Containing the Linear Function
2. Solving Inequalities Containing Linear Functions
3. Solving Equations Containing the Absolute Value Function
4. Solving Equations Containing the Exponential Function
5. Solving Equations Containing a Quadratic Function
6. Solving Equations Containing a Square Root Function
7. Solving Equations Containing a Rational Function
8. Solving Equations Containing the Logarithmic Function