Campus High School CURRICULUM MAPPING
Grade Level 11, 12 2008-2009 Pre-Calculus
1st 6 Weeks / 2nd 6 Weeks / 3rd 6 WeeksContent
/ Chapter 1A: Linear Functions· Points and Lines
· Linear Equations
· Slopes of lines
· Finding Equations of Lines
· Complex Numbers
· Solving Quadratic Equations
CHAPTER 2A: Polynomial Functions
· Quadratic Functions and their Graphs
· Quadratic Models
· Polynomial Functions
· Synthetic Division
· Graphing Polynomial Functions
· Solving Polynomial Equations by Factoring / Chapter 2B: Inequalities
· Linear Inequalities
· Absolute value
· Asymptotes and Graphing Rational Functions
· Polynomial inequalities
· Rational Inequalities
Chapter 1B: Functions
· Functions
· Operations on functions
· Functions in two variables
· Reflecting graphs: symmetry
· Stretching and translating graphs
· Inverse Functions / Chapter 3: Exponents and Logarithms
· Rules of exponents
· Rational exponents
· Exponential Functions
· The number e and natural exponential function
· Logarithmic functions
· Laws of exponents
· Exponential and Logarithmic equations
Chapter 10: Analytic Geometry
· Equations of circles
· Ellipses
· Hyperbolas
· Systems of second degree equations
Skills
/ Chapter 1A: Linear Functions· Find the intersection of two lines
· Find the length of a segment
· Find the coordinates of the midpoint of a segment
· Find the slope of a line and determine whether two lines are parallel, perpendicular, or neither
· Find the equation of a line given certain properties of the line
· Add, subtract, multiply, and divide complex numbers
· Review Algebraic Fractions and Factoring
· Solve quadratic equations, radical and rational equations
· Chapter 2A: Polynomial Functions
· Define and graph quadratic functions
· Model real-world situations using quadratic functions
· Identify a polynomial function
· Use synthetic substitution
· Determine the zeros of polynomials
· Graph polynomial functions
· Determine an equation for a polynomial graph
· Solve polynomial equations by factoring including the Rational Root Theorem
· TEKS: 3A, 1A, 1B, 1C, 1D, 1E / Chapter 2B: Inequalities
· Solve linear inequalities in one variable
· Solve compound inequalities
· Solve Absolute Value Inequalities
· Find limits, vertical asymptotes, and horizontal asymptotes of Rational Functions
· Graph Rational Functions
· Solve polynomial inequalities
· Solve Rational inequalities
Chapter 1B: Functions
· Identify a function
· Determine the domain, range, and zeros of a function
· Graph a function
· Perform operations on functions and determine the domain
· Graph functions in two variables and read such graphs
· Reflect graphs
· Use symmetry to sketch graphs
· Determine if functions are odd or even
· Shrink graphs both vertically and horizontally and to translate graphs
· Find the inverse of a function
· TEKS: 1A, 1B, 1C, 1D, 1E, 2A, 2B, 2C / Chapter 3: Exponents and Logarithms
· Apply the rules of exponents
· Define and apply rational exponents
· Define and use exponential functions
· Define and apply the natural exponential function
· Define and apply logarithms
· Prove and apply laws of logarithms
· Solve exponential equations, log equations and change logarithms from one base to another
Chapter 10: Analytic Geometry
· Find equations of circles
· Graph circles
· Find coordinates of any points where circles and lines meet
· Find equations of ellipses and graph them
· Find equations of hyperbolas and graph them
· Solve systems of second-degree equations
· TEKS 1A, 1B, 1C, 1D, 1E, 2A, 2B, 2C, 3A, 3B, 3C, 3D, 5A, 5B, 5C, 5D
1st 6 Weeks / 2nd 6 Weeks / 3rd 6 Weeks
Assessments
/ · Graded daily homework· Quizzes
· Worksheets
· Weekly review assignments
· Chapter 1A Test
· Chapter 2A Test / · Graded daily homework
· Quizzes
· Worksheets
· Weekly review assignments
· Chapter 2B Test
· Chapter 1B Test / · Graded daily homework
· Quizzes
· Worksheets
· Weekly review assignments
· Chapter 3 Test
· Chapter 10 Test