Pacific Lutheran High School

Mrs. Nunley

Teacher Contact: mlcaanunley@earthlink.net

2011-2012

Course Summary:

This course is a standards-based study of the key aspects of Algebra II: equations, graphs, and applications. These aspects will help the student connect mathematics to the world around them.

Class Materials Needed:

Textbook - McDougal, Littell: Algebra 2

Various handouts

Folder

Steno or single subject spiral notebook

No Whiteout or red pens

Mechanical pencil (Any problems in ink will not get credit)

Eraser

Graph paper

Scientific Calculator or Graphing calculator (No cell phones, MP3, or iPods)

Other materials as needed for special projects

Assessment:

The semester grade will be based on the following:

	Chapter Tests	45%
	Semester Final Exam	20%
	Homework and Pop Quizzes	15%
	Class participation	10%
	Skills Journal	10%

Course Sequence:

	Week 1-3	Solving Equations and Inequalities
		Evaluate and simplify expressions Display and interpret data Solve equations and Solve and graph inequalities
	Week 4-6	Linear Relations and Functions
		Identify different types of relations and functions Graph relations and functions on the coordinate plane Look for patterns to solve problems, and Graph inequalities on the coordinate plane
	Week 7-9	Systems of Equations and Inequalities
		Solve systems of equations Solve systems of inequalities Use linear programming to find maximum and minimum values of functions, and Solve problems by solving a simpler problem
	Week 10-12	Matrices
		Create matrices Solve problems by using matrix logic Perform operations with matrices Use matrices to solve systems of equations
	Week 13-15	Quadratic Functions and Inequalities
		Graph quadratic functions Solve quadratic equations Analyze graphs of quadratic functions and inequalities, and Solve problems involving standard deviation and the normal distribution
	Week 16-18	Polynomial Functions
		Find factors and zeros of polynomial functions Approximate real zeros of polynomial functions Graph polynomial functions Determine the inverse of functions Find the composition of functions Determine the inverses of functions or relations, and Work backward to solve problems
	Week 19-21	Powers, Roots and Radicals
		Evaluate nth roots Use properties of rational exponents to evaluate and simplify expressions Perform operations including power functions Find inverse of linear functions Graph square root and cube root functions Solve equations that contain radicals or rational exponents
	Week 22-25	Exponential and Logarithmic Relations
		Simplify expressions and solve equations involving real exponents Write exponential equations in logarithmic form and vice versa Find common and natural logarithms and antilogarithms, and Solve equations with variable exponents by using logarithms
	Week 26-29	Rational Expressions and Equations
		Graph rational functions Solve problems involving direct, inverse, and joint variation Simplify rational expressions Solve rational equations, and Solve problems by organizing data
	Week 30-33	Conic Sections
		Find the distance between two points in the coordinate plane Find the midpoint of a line segment in the coordinate plane Graph conic sections Use simulations to solve problems, and Solve systems of quadratic equations and inequalities
	Week 34-36	Sequences and Series
		Find the next number in a sequence by looking for a pattern Find terms in arithmetic and geometric sequences Find sums or arthritic and geometric series, and Use the binomial theorem to find terms of a binomial expansion
	If the Class	pace is faster than expected then the following topics will be covered in the course
		Probability and Statistics
		Solve problems by solving simpler, related problems Solve problems involving permutations and combinations Find probabilities of events Determine the odds of success or failure of events, and Use experiments and simulations to solve problems
		Trigonometric Functions
		Find values of trigonometric functions Solve problems by using right triangle trigonometry Examine solutions to problems, and Solve triangles by using the law of sines and law of cosines
		Trigonometric Graphs and Identities
		Graph trigonometric functions Use Trigonometric identities Solve problems by working backward, and Solve trigonometric equations

White Board Formula:

Each class period, students will be given at least one educational objective, an activity to reinforce this educational objective, and an assessment for the activity. Educational objectives are pulled from California Content Standards or other standards appropriate for each course.

ELSR Integration:

Pacific Lutheran High School’s ESLR’s (Expected School-wide Learning Results), adopted curriculum, and course content standards are integrated into one cohesive unit to maximize student-learning. Algebra II course will thus:

P - Give students the ability to see how their standards-based subjects put Christ first, by starting the class with a bible verse that contains a mathematical term
L - Teach and/or reinforce critical thinking and self-learning skills, by solving the daily lesson problems
H - Prepare students to be effective communicators able to utilize technology, by preparing and presenting reports
S - Empower students to use their education in acts of service to their fellow man