MR. LUPINACCI'S CLASSROOM
Accelerated Algebra II & Trigonometry
Our study of algebra and trigonometry will emphasize a conceptual approach to mathematics, while encouraging students to pay attention to details and for them to do their work in a thorough and precise manner.
Students will be exposed to connections between mathematics and the natural world, including fields such as engineering and architecture.
In addition, our work will prepare students for their eventual study of the calculus.
Take a look at the page for a video of The Known Universe.
As you're solving each problem, you should do at least three things:
1) ask yourself, "What kind of problem is this?" (For example, it may be an absolute value with a greater than symbol.)
2) think about WHY the problem works the way that it does.
3) look through your notes as you're doing the problems and summarize the notes that are relevant to that specific problem on a separate sheet of paper that you can then use as a study guide.
If you do all of that, then you will really become fluent with this material.
*For the Infinite Algebra worksheets, pages 1 & 2 are the problems, and pages 3 & 4 are the solutions.
UNIT 1: Prerequisite Knowledge
Order of operations, solving simple linear equations, and solving absolute value equations.
UNIT 2: Inequalities
Solving and graphing inequalities, compound inequalities, and absolute value inequalities.
TEST #1:
This test is comprised of all of the material from Unit 1 and Unit 2, plus two types of word problems: Number and Consecutive Integer.
UNIT 3A: Lines and Their graphs
Determining the equations of lines, graphing lines , parallel and perpendicualr slope, finding the point of intersection, linear inequalities.
UNIT 3B: Functions
Domain, range, function operations, composite functions, inverse functions, piecewise functions, linear regression and the line of best fit.
- For linear regression, I plotted the points for the scatter plot graph on my calculator, but I did not do it on the solutions sheet. However, for the test you do need to plot the points on your test paper.
UNIT 4: Polynomials - Products and Factors
Laws of exponents, factoring, Zero Product Property, solving word problems using polynomials.
UNIT 5: Rational Expressions
Negative exponents, combining rational expressions, simlifying complex fractions, solving rational equations.
Review for the January Final Exam
UNIT 6: Irrational and Complex Numbers
Working with radicals and the imaginary number i.
UNIT 7: Graphing Quadratic Equations
UNIT 8: Logarithms
UNIT 9: Trigonometry
Final Exam
In addition to the materials posted below, you should use the materials posted from throughout he semester.
Also, make sure to read through and summarize your notes from the semester.
Here are a few kinds of problems that we worked on, but are not in the current review materials:
- multiplying binomials that include the imaginary number i
- using your calculator to find the point of intersection of a line and a parabola
- using the law of sines and law of cosines to solve triangles