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Advanced Algebra w/ Trigonometry

 

 

 Note: Homework assignments are always on the last slide of the lecture

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Chapter 1  
 

Students will be able to define a real numbers and their subsets.  The teacher will present information using PowerPoint and a white board.  Students will be expected to take notes, ask questions, and practice in class and outside of class.  See Lecture for practice problem assignment.

SPI: Solve a variety of equatins using appropriate methods

1.1 Real Numbers
 

Students will be able to simplify expressions with exponents.  The teacher will present information using PowerPoint and a white board.  Students will be expected to take notes, ask questions, and practice in class and outside of class.  See Lecture for practice problem assignment.

SPI: Solve a variety of equatins using appropriate methods

1.2a Exponents
  Students will be able to simplify expressions with fractional exponents and convert them between the fractional exponent form and the radical form.  The teacher will present information using PowerPoint and a white board.  Students will be expected to take notes, ask questions, and practice in class and outside of class.  See Lecture for practice problem assignment.

SPI: Solve a variety of equatins using appropriate methods.

1.2b Radicals  
  Students will be able to simplify algebraic expressions with exponential and fractional exponents.  The teacher will present information using PowerPoint and a white board.  Students will be expected to take notes, ask questions, and practice in class and outside of class.  See Lecture for practice problem assignment.

SPI: Solve a variety of equatins using appropriate methods. Apply the binomial theorem to expansion of binomials.

1.3a Algebraic Expressions
  Students will be able to simplify albebraic expressions with rational exponents.  The teacher will present information using PowerPoint and a white board.  Students will be expected to take notes, ask questions, and practice in class and outside of class.  See Lecture for practice problem assignment.

SPI: Solve a variety of equatins using appropriate methods. Apply the binomial theorem to expansion of binomials.

1.3b Algebraic Expressions  
  Students will be able to simplify fractional expressions with exponents and/or radicals.  The teacher will present information using PowerPoint and a white board.  Students will be expected to take notes, ask questions, and practice in class and outside of class.  See Lecture for practice problem assignment.

SPI: Solve a variety of equatins using appropriate methods. Apply the binomial theorem to expansion of binomials.

1.4a Fractional Expressions  
  Students will be able to define a function or non-function and solve a function given a specific input.  The teacher will present information using PowerPoint and a white board.  Students will be expected to take notes, ask questions, and practice in class and outside of class.  See Lecture for practice problem assignment.

SPI: Solve a variety of equatins using appropriate methods. Apply the binomial theorem to expansion of binomials.

 

1.4b Fractional Expressions  
     
     
    Chapter 2  
  Students will be able to solve an algebraic equation with one first degree variable.  The teacher will present information using PowerPoint and a white board.  Students will be expected to take notes, ask questions, and practice in class and outside of class.  See Lecture for practice problem assignment.

SPI: Solve a variety of equatins using appropriate methods. Apply the binomial theorem to expansion of binomials.

2.1 Equations  
  Students will be able to define and solve quadratic equations by factoring and completing the square.  The teacher will present information using PowerPoint and a white board.  Students will be expected to take notes, ask questions, and practice in class and outside of class.  See Lecture for practice problem assignment.

SPI: Solve a variety of equatins using appropriate methods

2.3a Quadratic Equations
  Students will be able to solve quadratic equations using the quadratic formula.  Students will also be able to calculate the determinant of a quadratic equation and identify the type of root or roots that solve it. The teacher will present information using PowerPoint and a white board.  Students will be expected to take notes, ask questions, and practice in class and outside of class.  See Lecture for practice problem assignment.

SPI: Solve a variety of equatins using appropriate methods. Use discriminanats of quadratic equations to characterize the nature of the solutions to the equations.

2.3b Quadratic Equations  
  Students will be able to add, subtract, multiply, divide complex expressions as well as simplify quadratic equations containing complex answers.  The teacher will present information using PowerPoint and a white board.  Students will be expected to take notes, ask questions, and practice in class and outside of class.  See Lecture for practice problem assignment.

SPI: Solve a variety of equatins using appropriate methods.

2.4 Complex Numbers
  Students will be able to solve an equation containing absolute values, solve equations of a degree greater than two using grouping and solve equations which contain a rational exponent.  The teacher will present information using PowerPoint and a white board.  Students will be expected to take notes, ask questions, and practice in class and outside of class.  See Lecture for practice problem assignment.

SPI: Solve a variety of equatins using appropriate methods.

2.5a Other Types Of Equations
  Students will be able to solve an equation radicals and by using u-substitution.  The teacher will present information using PowerPoint and a white board.  Students will be expected to take notes, ask questions, and practice in class and outside of class.  See Lecture for practice problem assignment.

SPI: Solve a variety of equatins using appropriate methods.

2.5b Other Types Of Equations  
  Students will be able to solve single and dual inequalities and display resultant answers in bracket form.  The teacher will present information using PowerPoint and a white board.  Students will be expected to take notes, ask questions, and practice in class and outside of class.  See Lecture for practice problem assignment.

SPI:   

2.6 Inequalities
     
     
    Chapter 6  
  Students will be able to define and solve supplementary complementary, right, obtuse, acute, terminal and cotermainal angles in deciamal degree or degree/minute/second format as well as radians.  The teacher will present information using PowerPoint and a white board.  Students will be expected to take notes, ask questions, and practice in class and outside of class.  See Lecture for practice problem assignment.

SPI: .

 6.1 Angles  
  Students will be able to convert decimal or degree/minute/second degrees to radians and vice versa.  The teacher will present information using PowerPoint and a white board.  Students will be expected to take notes, ask questions, and practice in class and outside of class.  See Lecture for practice problem assignment.

SPI: .

 6.1 Angles (Cont.)  
  Students will be able to identify and use the six trigonometric functions: sine, cosine, tangent, secant, cosecant, and cotangentin along with the PythagoreanTheorem.  The teacher will present information using PowerPoint and a white board.  Students will be expected to take notes, ask questions, and practice in class and outside of class.  See Lecture for practice problem assignment.

SPI: .

6.2a Trigonometric Functions of Angles

 

 
  Students will be able to identify and use the six trigonometric functions: sine, cosine, tangent, secant, cosecant, and cotangent, their inverses and Pythagorean Identities.  The teacher will present information using PowerPoint and a white board.  Students will be expected to take notes, ask questions, and practice in class and outside of class.  See Lecture for practice problem assignment.

SPI: .

6.2b Trigonometric Functions of Angles

 
     
     
    Chapter 8  
  Students will be able to use the Law of Sines to solve for given triangles.  The teacher will present information using PowerPoint and a white board.  Students will be expected to take notes, ask questions, and practice in class and outside of class.  See Lecture for practice problem assignment.

SPI: .

8.1 Law of Sines  
  Students will be able to use the Law of Cosines to solve triangles.  The teacher will present information using PowerPoint and a white board.  Students will be expected to take notes, ask questions, and practice in class and outside of class.  See Lecture for practice problem assignment.

SPI: .

8.2 Law of Cosines  
 11/17-19 Students will be able to use scalar multiplication, addition and subtraction to combine vectors.  Students will be able to determine the magnitude and direction of a given vector as well as solve real world applications involving vectors. The teacher will present information using PowerPoint and a white board.  Students will be expected to take notes, ask questions, and practice in class and outside of class.  See Lecture for practice problem assignment.

SPI: .

8.3 Vectors  
 11/20  Chapter Test Review  
11/23 Chapter Test  
     
     Chapter 7  
 11/30-12/3 Students will be able to convert decimal or degree/minute/second degrees to radians and vice versa.  The teacher will present information using PowerPoint and a white board.  Students will be expected to take notes, ask questions, and practice in class and outside of class.  See Lecture for practice problem assignment.

SPI: .

7.1 Verifying Trigonometric Identities  
 12/3-7 Students will be able to solve trigonometric equation involving sine, tangent functions as well as with multiple angles. Students will be able to solve trigonometric equatins by factoring. The teacher will present information using PowerPoint and a white board.  Students will be expected to take notes, ask questions, and practice in class and outside of class.  See Lecture for practice problem assignment.

SPI: .

7.2 Trigonometric Equations  
 12/8-10 Students will be able to use addition and subtraction formulas of trigonometric functions to find complementary angles, exact values and verify rreductin formulas.  The teacher will present information using PowerPoint and a white board.  Students will be expected to take notes, ask questions, and practice in class and outside of class.  See Lecture for practice problem assignment.

SPI: .

7.3 Addition & Subtractions Formulas  
 12/11-14 Students will be able to use multiple angle formulas of trigonometric functions  to find given values of an unknown angle, verify identities, find exact values of an expression and express trigonometric expressions given in one function in another function.  The teacher will present information using PowerPoint and a white board.  Students will be expected to take notes, ask questions, and practice in class and outside of class.  See Lecture for practice problem assignment.

SPI: .

7.4 Multiple-Angle Formulas  
 12/15  Chapter Test Review  
 12/16  Chapter Test  
 12/17-18  Final Exam Review  
 12/21-22  Final Exams  
     
     

 

 

Lectures are in MS PowerPoint (v10) format. The PowerPoint Vewer or Open Office suite may be freely downloaded.

 

Practice Problems are in PDF format. The 

Adobe Acrobat Viewer is also a free download.