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TITLE
Algebra III trig
TEXTBOOK
Advanced Mathematical Concepts, Berchie Gordon & Others, Glenco, 1994
DESCRIPTION
This class is designed for students who have completed Algebra I, Geometry,
Algebra II and who want to take a fourth year of math. Trigonometry and
statistics will be especially beneficial for students interested in attending a
business school, community college of pursuing a major in college other than
mathematics or science. Topics covered will be: trigonometry, review of second
year algebra, conic sections, sequences, series, probability and statistics.
Scientific calculator required, graphing calculator recommended.
NOTES
Chapter 1 review, Chapter 2 system of equations and linear programming, Chapter
5 trig functions and outdoor trig, Chapter 6 trig graphs, Chapter 8 vectors,
Chapter 10 conic sections and quadratic equations, Chapter 11 exponential and
log functions, Chapter 12 sequence and series, Chapter 14 probability, Chapter
15 statistics.
COURSE OBJECTIVES
1. Students will be able to find the solution to a system of 2 equations by
graphing, calculator, elimination, and substitution. (12.6.3)
2. Students will be able to find the optimum solutions to applications involving
linear programming problems. (12.6.2)
3. Students will be able to apply Pythagorean theorem, sine, cosine, and tangent
to solve application problems. (12.4.5)
4. Students will be able to set up and level a transit, take measurements from a
story pole, and record elevation and angles of elevation.
5. Students will be able to use a transit to find the slope of a sidewalk and
height of a tall object.
6. Students will be able to set stakes to construct a rectangular shape using
3-4-5 triangle. (12.4.5) (12.3.1)
7. Students will be able to use the law of sines and cosines in triangle to find
angles or distance.
8. Students will be able to use a calculator to find best-fit lines involving
linear and quadratic relationships. 12.6.4)(12.5.2)
9. Students will be able to apply the definition of slope, y intercept and x
intercept to application problems. (12.6.2)
10. Students will be able to create sine waves matching the amplitude, wave
length, period, frequency and phase shift to applications problems. (12.3.1)
11. Students will be able to apply exponents and logarithms to growth, decay,
interest, and other application problems. (12.6.4)(12.2.1)
12. Students will be able to graph conic sections using vertex, focus, and
asymptotes. (12.4.4)
13. Students will be able to determine equations of conic sections given various
characteristics of the conic. (12.4.4)
14. Students will be able to solve quadratic equations by graphing, factoring,
and quadratic formula including imaginary solutions. (12.2.3)
15. The students will be able to solve applications problems using maximum,
minimum and zeros of function. 12.6.4)
16. Students will be able to develop counting methods (combinations and
permutations) to determine probability of events. (12.5.6)(12.5.3)
17. Students will be able to solve problems using independent, dependent and
conditional probabilities. (12.5.6)
18. Students will be able to perform operations (+, -, dot product, cross
product) of vectors.
19. Students will be able to represent vectors and lines with parametric
equations.
20. Students will be able to represent and solve application problems utilizing
vectors.
21. Students will be able to construct and utilize various graphic forms of data
including stem and leaf and box and whisker plots. (12.5.1)
22. Students will be able to use measures of central tendency including standard
deviation to describe data shown on a normal curve. (12.5.4)(12.5.5)
WRITING ACTIVITES
1. Every chapter contains problems, which allow students to write their answers
in paragraph form.
2. Throughout the year, students are given assignments that ask them to write a
short paper on how math is used in the workplace.
3. Short answer questions are given on tests and quizzes.
MULTICULTURE ACTIVITIES
1. Story problems throughout the book involve minorities from several different
cultures.
2. Students read or do the projects in each chapter and this section of the book
focuses on multicultural history and events in mathematics.
