Home > Curriculum >
High School > Math
> Advanced Algebra II and Trig
TITLE
Advanced Algebra II and Trigonometry
TEXTBOOK
Advanced Mathematical Concepts, Berchie Gordon & others, Glenco, 1994
DESCRIPTION
Advanced Algebra II and Trigonometry is considered a prerequisite for those
students who plan to take pre-calculus. It meets 5 days a week for 44 minutes.
This class is a combination of second year algebra and trigonometry, each
requiring a semester of time but not necessarily in sequence. Topics include
right angle trigonometry, law of sines, law of cosines, graphs of trig
functions, functions, graphing linear and non-linear equations, solving
simultaneous equations, and systems of equations. Scientific calculator
required, graphing calculator recommended. Prerequisites are Algebra 1 and
Geometry.
NOTES
Chapter 5 trig functions, outdoor trig, Chapter 1 review, Chapter 2 systems of
equations and linear programming, chapter 6 trig graphs equations, Chapter 10
conic sections, quadratic equations plus extra material on conic sections.
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, record elevation and calculate angles of elevation, slope of a
sidewalk and height of a tall object. (12.4.5)(12.3.1)
5. Students will be able to set stakes to construct a rectangular shape using
3-4-5 triangle. (12.4.5)
6. Students will be able to use the law of sines and cosines in triangles to
find angles or distance.
7. Students will be able to use a calculator to find best fit lines involving
linear and quadratic relationships. (12.6.4)
8. Students will be able to apply the definition of slope, y intercept and x
intercept to application problems. (12.6.2)
9. Students will be able to create sine waves matching the amplitude, wave
length, period, frequency and phase shift of applications problems. (12.3.1)
10. Students will be able to graph conic sections using vertex, focus, and
asymptotes.
11. Students will be able to determine equations of conic sections given various
characteristics of the conic section.
12. Students will be able to solve quadratic equations by graphing, factoring,
and quadratic formula including imaginary solutions. (12.6.2)
13. The student will be able to solve applications problems using maximum,
minimum and zeros of function.
WRITING ACTIVITIES
1. Students will write paragraphs explaining their method and thought process
used in solving a problem or applying a concept.
2. Students will have a question on test which will require an written
explanation. (12.2.2)
3. Students will take a problem missed on and explain what they did incorrect as
well as the correct solution to the problem.
MULTICULTURE ACIVITIES
1. Each chapter of the Merrill book contains an introduction which high lights a
person in mathematics or a career.
