Spiritual Principle:
For unto every one that hath shall be given, and he shall have abundance: but from him that hath not shall be taken away even that which he hath. (KJV Matthew 25:29)
Students will learn to investigate and solve piecewise functions; they will learn to explore exponential functions by extending properties of exponents to include all integers; they will learn to solve quadratic equations in one variable by using factoring, square roots, and the application of the quadratic formula; and, they will be able to discuss functions and their inverses by using concepts such as one to oneness, domains and range.
Suggested Activities and Experiences:
Divide students into groups of approximately six each. Students will make a table and graph in pencil. Three students in the group will graph the linear function and three will graph the quadratic equation. The group of six will come together and put their graphs together and describe and evaluate the piecewise functions.
2. Students will memorize exponent integers and be able to explain their characteristics. Once these concepts are understood, students will move on to solving simple exponential equations and inequalities as well as graphing functions. To assist the students, games such as MathDork (http://www.mathdork.com/games/asteroidsexp3/asteroidsexp3.html) can be played at home or during computer lab time at the school.
3. To solve quadratic equations, students will first learn factoring which is fairly easy. Once the concept of factoring is understood, technology can be used to assist the students with solving quadratic equations and equalities. The website (http://www.coolmath.com/algebra/) will be references, but the students will have to write explanations showing that they understand how at least two homework problems were solved.
4. By the time we are ready to learn inverse functions, students will have a review of everything learned during the school year building up to inverse functions. Again, technology will be used via (http://www.coolmath.com/algebra/). Students will again be asked to write an explanation for various homework problems demonstrating that they understand the concepts behind solving it.
Evaluation Procedures:
A quiz once per week
Midterm exam covering current quarter
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