Alabama Course of Study for PreCalculus 

Week 17

Week 16

Week 15

Week 14

Week 13

Week 12

Week 11

Week 10

Week 9

Week 8

Week 7

2/11: Graphing Tangent and Cotangent Functions

2/12: Solving for exact values for all real values from the unit circle.

2/13: Review

2/14: Ch. 6 Test

2/15: Lesson 7.1

This weeks objectives:

• Be able to graph sine and cosine functions.
• 26 ) Determine the amplitude, period, phase shift, domain, and range of trigonometric functions and their inverses. (Alabama)
• Be able to graph Sec, Csc, Tan, and Cot graphs.

Week 5

2/4: Lesson 6.5

2/5: Lesson 6.5

2/6: Lesson 6.5

2/7: Lesson 6.6

2/8: Lesson 6.6

This weeks objectives:

• Be able to graph sine and cosine functions.
• 26 ) Determine the amplitude, period, phase shift, domain, and range of trigonometric functions and their inverses. (Alabama)
• Be able to graph Sec, Csc, Tan, and Cot graphs.

Week 4

1/28: Lesson 6.5

1/29: Ch. 5 Test

1/30: Lesson 6.1

1/31: Lesson 6.2-6.4

2/1: Lesson 6.2-6.4

This weeks objectives:

• Be able to solve triangles using Law of Cosines and Law of Sines.
• Be able to derive the Law of Cosines.
• Be able to find area of a triangle given SAS or SSS.
• Be able to graph sine and cosine functions.
• Be able to convert degrees to radians.
• Be able to find the area  of a sector and length of an arc. 
• 26 ) Determine the amplitude, period, phase shift, domain, and range of trigonometric functions and their inverses. (Alabama)

Week 3

1/21: Holiday

1/22: Lesson 5.6

1/23: Lesson 5.7

1/24: Lesson 5.7

1/25: Lesson 5.8

This weeks objectives:

• Be able to solve triangles using Law of Cosines and Law of Sines.
• Be able to derive the Law of Cosines.
• Be able to find area of a triangle given SAS or SSS.

• 29 ) (+) Use special triangles to determine geometrically the values of sine, cosine, and tangent for π/3, π/4, and π/6, and use the unit circle to express the values of sine, cosine, and tangent for π - x, π + x, and 2π - x in terms of their values for x, where x is any real number. [F-TF3]

Week 2

1/14: Unit Circle Quiz and Lesson 5.5

1/15: Lesson 5.5

1/16: Review

1/17: Review

1/18: 5.1-5.5 Test

This weeks objectives:

• Be able to find the values of trigonometric ratios for acute angles of right triangles.
• Be able to find exact values of trigonometric functions.
• Be able to find the values of the six trigonometric functions of an angle in standard position given a point on its terminal side.
• Be able to find missing angles and sides of right triangles.
• 35 ) (+) Derive the formula A = (¹/₂)ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side. (Apply formulas previously derived in Geometry.) [G-SRT9] (Alabama)

• 29 ) (+) Use special triangles to determine geometrically the values of sine, cosine, and tangent for π/3, π/4, and π/6, and use the unit circle to express the values of sine, cosine, and tangent for π - x, π + x, and 2π - x in terms of their values for x, where x is any real number. [F-TF3]

•  

Week 1

1/7: Lesson 5.1

1/8: Lesson 5.2

1/9: Lesson 5.3

1/10:Lesson 5.3

1/11: Lesson 5.3

This weeks objectives:

• Be able to find the values of trigonometric ratios for acute angles of right triangles.
• Be able to find exact values of trigonometric functions.
• Be able to find the values of the six trigonometric functions of an angle in standard position given a point on its terminal side.

• 29 ) (+) Use special triangles to determine geometrically the values of sine, cosine, and tangent for π/3, π/4, and π/6, and use the unit circle to express the values of sine, cosine, and tangent for π - x, π + x, and 2π - x in terms of their values for x, where x is any real number. [F-TF3]

Week 18

12/10: Review for Exam

12/11: Review for Exam

12/12: Review for Exam

12/13: Review for Exam

12/14: Exam

This weeks objectives:

• • Be able to solve and graph exponential and logarithmic functions
  • Be able to solve compound interest problems

   

Week 17

12/3: Evaluating Exponential Expressions and Graphing Exponential Functions

12/4: Evaluating Logarithmic Expressions and Graphing Logarithmic Functions

12/5: Properties of Logarithms

12/6: Natural Logarithms

12/7: Review

This weeks objectives:

• Be able to solve and graph exponential and logarithmic functions
• Be able to solve compound interest problems

Week 16

11/26: Lesson 4.8

11/27: Review

11/28: 4.6-4.8 Test

11/29: Solving and Graphing Exponential Equations

11/30: Evaluating Logarithmic Expressions and Graphing Logarithmic Functions

This weeks objectives:

• Be able to solve and graph exponential and logarithmic functions
• Be able to solve compound interest problems
• Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude. [F-IF7e]
  • Be able to solve rational equations.
  • Be able to find partial fractions.
  • Be able to solve radical equations.
  • Be able to solve quadratic inequalities.
  • Be able to write an equation of a best fit curve.
  • ) Graph functions expressed symbolically, and show key features of the graph, by hand in simple cases and using technology for more complicated cases.* [F-IF7]

•  

  1. (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior. [F-IF7d]

Week 15

11/12: No School

11/13: 4.1-4.5 Test

11/14: Lesson 4.6

11/15: Lesson 4.7

11/16: Lesson 4.8

This weeks objectives:

• Be able to solve rational equations.
  • Be able to find partial fractions.
  • Be able to solve radical equations.
  • Be able to solve quadratic inequalities.
  • Be able to write an equation of a best fit curve.
  • ) Graph functions expressed symbolically, and show key features of the graph, by hand in simple cases and using technology for more complicated cases.* [F-IF7]

•  

  • (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior. [F-IF7d]
  • Solve and graph polynomial equations.
  • Graph functions expressed symbolically, and show key features of the graph, by hand in simple cases and using technology for more complicated cases.* [F-IF7]
  •  

Week 14

11/5: Lesson 4.3

11/6: No School

11/7: Lesson 4.4

11/8: Lesson 4.4

11/9: Review

This weeks objectives:

• Solve and graph polynomial equations.
• Graph functions expressed symbolically, and show key features of the graph, by hand in simple cases and using technology for more complicated cases.* [F-IF7]
• Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior. [F-IF7c]
  • Be able to solve quadratic equations by factoring, the quadratic formula, and by completing the square.  
  • Be able to solve rational equations.
  • Be able to find partial fractions.

Week 13

10/29: Review

10/30: 3.7 Test

10/31: Lesson 4.1

11/1: Lesson 4.2

11/2: Lesson 4.3

This weeks objectives:

• Graph rational functions 18 (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior. [F-IF7d]
• Solve and graph polynomial equations.
• Be able to solve quadratic equations by factoring, the quadratic formula, and by completing the square.  
•  

Week 12

10/22: Lesson 3.7

10/23: Lesson 3.7

10/24: PSAT

10/25: Lesson 3.7

10/26: Lesson 3.7

This weeks objectives:

• Graph rational functions 18 (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior. [F-IF7d]

Week 11

10/15: Review

10/16: Ch. 3 Test Part 1

10/17: Review

10/18: Ch. 3 Test Part 1

10/19: Lesson 3.7

This weeks objectives:

• Determine whether a function is continuous or discontinuous.
• Identify the end behavior of functions.
• Determine whether a function is increasing or decreasing on an interval.
• Classify functions as even or odd
• Identify transformations of simple graphs
• Sketch graphs of related functions. 18A [F-IF7b]
• Graph polynomial, absolute value, and radical inequalities in two variables.
• Solve absolute value inequalities.
• Be able to find the inverse of a function. ) Determine the inverse of a function and a relation. (Alabama)
• Be able to verify if two functions are inverses. ) (+) Verify by composition that one function is the inverse of another. [F-BF4b] 
• ) (+) Read values of an inverse function from a graph or a table, given that the function has an inverse. [F-BF4c]
• Find the extrema of a function
• Solve problems involving direct, inverse, and joint variation
• Be able to graph rational functions.

Week 10

10/10: PSAT

10/11: Lesson 3.8

10/12: Review

This weeks objectives:

• Determine whether a function is continuous or discontinuous.
• Identify the end behavior of functions.
• Determine whether a function is increasing or decreasing on an interval.
• Classify functions as even or odd
• Identify transformations of simple graphs
• Sketch graphs of related functions. 18A [F-IF7b]
• Graph polynomial, absolute value, and radical inequalities in two variables.
• Solve absolute value inequalities.
• Be able to find the inverse of a function. ) Determine the inverse of a function and a relation. (Alabama)
• Be able to verify if two functions are inverses. ) (+) Verify by composition that one function is the inverse of another. [F-BF4b] 
• ) (+) Read values of an inverse function from a graph or a table, given that the function has an inverse. [F-BF4c]
• Find the extrema of a function
• Solve problems involving direct, inverse, and joint variation
•  

Week 9

10/2: 3.1-3.4 Quiz

19/3: Lesson 3.5

10/4: Lesson 3.6

10/5: Lesson 3.8

This weeks objectives:

• Determine whether a function is continuous or discontinuous.
• Identify the end behavior of functions.
• Determine whether a function is increasing or decreasing on an interval.
• Classify functions as even or odd
• Identify transformations of simple graphs
• Sketch graphs of related functions. 18A [F-IF7b]
• Graph polynomial, absolute value, and radical inequalities in two variables.
• Solve absolute value inequalities.
• Be able to find the inverse of a function. ) Determine the inverse of a function and a relation. (Alabama)
• Be able to verify if two functions are inverses. ) (+) Verify by composition that one function is the inverse of another. [F-BF4b] 
• ) (+) Read values of an inverse function from a graph or a table, given that the function has an inverse. [F-BF4c]
• Find the extrema of a function
• Solve problems involving direct, inverse, and joint variation
•  

Week 8

9/24: Lesson 3.2

9/25: Lesson 3.2

9/26: Lesson 3.3

9/27: Lesson 3.4

9/28: Review

This weeks objectives:

• Use algebraic tests to determine if the graph of a relation is symmetrical
• Classify functions as even or odd
• Identify transformations of simple graphs
• Sketch graphs of related functions. 18A [F-IF7b]
• Graph polynomial, absolute value, and radical inequalities in two variables.
• Solve absolute value inequalities.
• Classify functions as even or odd
• Identify transformations of simple graphs
• Sketch graphs of related functions. 18A [F-IF7b]
• Graph polynomial, absolute value, and radical inequalities in two variables.
• Solve absolute value inequalities.
• Be able to find the inverse of a function. ) Determine the inverse of a function and a relation. (Alabama)
• Be able to verify if two functions are inverses. ) (+) Verify by composition that one function is the inverse of another. [F-BF4b] 
• ) (+) Read values of an inverse function from a graph or a table, given that the function has an inverse. [F-BF4c]
•  
•  

Week 7

9/17: Matrices Test Part 2

9/18: Lesson 3.1

9/19: Lesson 3.1

9/20: Lesson 3.2

9/21: Lesson 3.2

This weeks objectives:

• Use algebraic tests to determine if the graph of a relation is symmetrical
• Classify functions as even or odd
• Identify transformations of simple graphs
• Sketch graphs of related functions. 18A [F-IF7b]
• Graph polynomial, absolute value, and radical inequalities in two variables.
• Solve absolute value inequalities.
•  

Week 6

9/10: Lesson 2.5

9/11: Solve 3 x 3 Matrix Equations

9/12: Solve 3 x 3 Matrix Equations

9/13: Review

9/14: Test

This weeks objectives:

• Be able to add, subtract, and multiply matrices. ACOS 10-11.
• Be able to find the inverse and determinant of 2x2 and 3x3 matrices. ACOS 11
• Be able to find the area of triangle given the 3 vertices using the determinant of a matrix. ACOS 11 [N-VM12]
• Be able to solve systems of equations by cramer's rule and matrix equations of 2x2 and 3x3 systems. 

Week 5

9/3:  Labor Day

9/4: Review

9/5: 2.1,2.2,2.6,2.7 Test 

9/6: Lesson 2.3

9/7: Lesson 2.5

This weeks objectives:

• Be able to use linear programming procedures to solve applications.
• Be able to recognize situations where exactly one solution to a linear programming application may not exist. 
• Be able to add, subtract, and multiply matrices. ACOS 10-11.
• Be able to find the inverse and determinant of 2x2 and 3x3 matrices. ACOS 11
• Be able to find the area of triangle given the 3 vertices using the determinant of a matrix. ACOS 11 [N-VM12]
• Be able to solve systems of equations by cramer's rule and matrix equations of 2x2 and 3x3 systems. 

Week 4

8/27:  Lesson 2.1

8/28: Lesson 2.2

8/29: Lesson 2.6

8/30: Lesson 2.6

8/31: Lesson 2.7

This weeks objectives:

• Be able to solve systems of equations graphically 
• Be able to solve systems of equations graphically 
• Be able to graph systems of inequalities
• Be able to find the maximum or minimum values of a function defined for a polygonal convex set.

Week 3

8/21:  Lesson 1.6

8/22: Lesson 1.7

8/23: Review

8/24: Ch. 1 Test Part 1

8/25: Ch. 1 Test Part 2 

This weeks objectives:

• Be able to write linear equations.
• Be able to write equations of parallel and perpendicular lines.
• Be able to write a prediction equation.
• Be able to use a graphing calculator to compute correlation coefficients to determine goodness of fit. ACOS 42 [S-ID8]
• Be able to solve problems using prediction equation models.
• Be able to identify and graph piecewise functions including greatest integer, step, and absolute value functions. ACOS 18a

Week 2

8/13:  Lesson 1.4

8/14: Review and Lesson 1.5

8/15: 1.1-1.4 Quiz

8/16: Lesson 1.6

8/17: Lesson 1.7

This weeks objectives:

• Be able to write linear equations.
• Be able to write equations of parallel and perpendicular lines.
• Be able to write a prediction equation.
• Be able to use a graphing calculator to compute correlation coefficients to determine goodness of fit. ACOS 42 [S-ID8]
• Be able to solve problems using prediction equation models.
• Be able to identify and graph piecewise functions including greatest integer, step, and absolute value functions. ACOS 18a

 Week 1

8/6:  Go over class procedures and syllabus

8/7: Lesson 1.1

8/8: Lesson 1.2

8/9: Lesson 1.2

8/10: Lesson 1.3

This weeks objectives:

• Be able to determine whether a given relation is a function and perform operations with functions.
• Be able to evaluate and find zeros of linear functions using functional notation.
• Be able to graph and write functions and inequalities ACOS 18a