Precalculus REVERSE CORRELATION. Content Expectations for. Precalculus. Michigan CONTENT EXPECTATIONS FOR PRECALCULUS CHAPTER/LESSON TITLES


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1 Content Expectations for Precalculus Michigan Precalculus 2011 REVERSE CORRELATION CHAPTER/LESSON TITLES Chapter 0 Preparing for Precalculus 01 Sets There are no statemandated Precalculus 02 Operations with Complex Numbers There are no statemandated Precalculus 03 Quadratic Functions and Equations P4 Polynomial Functions P nth Roots and Real Exponents There are no statemandated Precalculus 05 Systems of Linear Equations and Inequalities There are no statemandated Precalculus 06 Matrix Operations P7 Vectors, Matrices and Systems of Equations P Probability with Permutations and Combinations P8 Sequences, Series and Mathematical P Statistics There are no statemandated Precalculus
2 Chapter 1 Functions from a Calculus Perspective 11 Functions P1 Functions P Analyzing Graphs of Functions and Relations P1 Functions P Continuity, End Behavior, and Limits P1 Functions P Extreme and Average Rates of Change P1 Functions P Parent Functions and Transformations P1 Functions P Function Operations and Composition of Functions P1 Functions P1.2 P Inverse Relations and Functions P1 Functions P1.4 P1.5 Chapter 2 Power, Polynomial, and Rational Functions 21 Power and Radical Functions There are no statemandated Precalculus 22 Polynomial Functions P4 Polynomial Functions P4.1 P The Remainder and Factor Theorems P4 Polynomial Functions P Zeros of Polynomial Functions P4 Polynomial Functions P4.3 P Rational Functions P5 Rational Functions and Difference Quotients P5.1 P5.2 Content Expectations for 2 Precalculus
3 26 Nonlinear Inequalities P4 Polynomial Functions P4.2 P5 Rational Functions and Difference Quotients P5.1 Chapter 3 Exponential and Logarithmic Functions 31 Exponential Functions P2 Exponential and Logarithmic Functions P2.3 P Logarithmic Functions P2 Exponential and Logarithmic Functions P2.1 P Properties of Logarithms P2 Exponential and Logarithmic Functions P Exponential and Logarithmic Equations P2 Exponential and Logarithmic Functions P2.1 P Modeling with Nonlinear Regression P3 Quadratic Functions P3.3 Chapter 4 Trigonometric Functions 41 Right Triangle Trigonometry P6 Trigonometric Functions 42 Degrees and Radians P6 Trigonometric Functions 43 Trigonometric Functions on the Unit Circle P6 Trigonometric Functions 44 Graphing Sine and Cosine Functions P6 Trigonometric Functions P6.2 P Graphing Other Trigonometric Functions Recognizing graphs of other trigonometric functions is covered in this lesson. P6 Trigonometric Functions P6.3 Content Expectations for 3 Precalculus
4 46 Inverse Trigonometric Functions P6 Trigonometric Functions P The Law of Sines and the Law of Cosines P6 Trigonometric Functions P6.4 Chapter 5 Trigonometric Identities and Equations 51 Trigonometric Identities P6 Trigonometric Functions P Verifying Trigonometric Identities P6 Trigonometric Functions P Solving Trigonometric Equations P6 Trigonometric Functions P Sum and Difference Identities P6 Trigonometric Functions P6.5 P MultipleAngle and ProducttoSum Identities P6 Trigonometric Functions P6.5 P6.6 Chapter 6 Systems of Equations and Matrices 61 Multivariable Linear Systems and Row Operations 62 Matrix Multiplication, Inverses, and Determinants 63 Solving Linear Systems Using Inverses and Cramer s Rule P7 Vectors, Matrices and Systems of Equations P7.7 P7 Vectors, Matrices and Systems of Equations P7.5 P7.6 P7.7 P7 Vectors, Matrices and Systems of Equations P7.6 P Partial Fractions There are no statemandated Precalculus 65 Linear Optimization P7 Vectors, Matrices and Systems of Equations P7.8 Content Expectations for 4 Precalculus
5 Chapter 7 and Parametric Equations 71 Parabolas P9 Polar Coordinates, Parameterizations and P9.7 P9.8 P Ellipses and Circles P9 Polar Coordinates, Parameterizations and P9.7 P9.8 P9.9 P Hyberbolas P9 Polar Coordinates, Parameterizations and P9.7 P9.8 P9.9 P Rotations of There are no statemandated Precalculus 75 Parametric Equations P9 Polar Coordinates, Parameterizations and P9.3 P9.4 P9.5 P9.6 Chapter 8 Vectors 81 Introduction to Vectors P7 Vectors, Matrices and Systems of Equations P Vectors in the Coordinate Plane P7 Vectors, Matrices and Systems of Equations P Dot Products and Vector Projections P7 Vectors, Matrices and Systems of Equations P7.2 Content Expectations for 5 Precalculus
6 84 Vectors in ThreeDimensional Space P7 Vectors, Matrices and Systems of Equations P Dot and Cross Products of Vectors in Space P7 Vectors, Matrices and Systems of Equations P7.2 Chapter 9 Polar Coordinates and Complex Numbers 91 Polar Coordinates P9 Polar Coordinates, Parameterizations and P Graphs of Polar Equations P9 Polar Coordinates, Parameterizations and P Polar and Rectangular Forms of Equations P9 Polar Coordinates, Parameterizations and P Polar Forms of There are no statemandated Precalculus 95 Complex Numbers and De Moivre s Theorem P9 Polar Coordinates, Parameterizations and P9.2 Chapter 10 Sequences and Series 101 Sequences, Series, and Sigma Notation P8 Sequences, Series and Mathematical P Arithmetic Sequences and Series P8 Sequences, Series and Mathematical P8.2 P Geometric Sequences and Series P8 Sequences, Series and Mathematical P8.2 P Mathematical P8 Sequences, Series and Mathematical P8.5 Content Expectations for 6 Precalculus
7 105 The Binomial Theorem P8 Sequences, Series and Mathematical P Functions as Infinite Series P8 Sequences, Series and Mathematical P8.4 Chapter 11 Inferential Statistics 111 Descriptive Statistics There are no statemandated Precalculus 112 Probability Distributions There are no statemandated Precalculus 113 The Normal Distribution There are no statemandated Precalculus 114 The Central Limit Theorem There are no statemandated Precalculus 115 Confidence Intervals There are no statemandated Precalculus 116 Hypothesis Testing There are no statemandated Precalculus 117 Correlation and Linear Regression There are no statemandated Precalculus Chapter 12 Limits and Derivatives 121 Estimating Limits Graphically P1 Functions P Evaluating Limits Algebraically P1 Functions P Tangent Lines and Velocity There are no statemandated Precalculus 124 Derivatives There are no statemandated Precalculus 125 Area Under a Curve and Integration There are no statemandated Precalculus 126 The Fundamental Theorem of Calculus There are no statemandated Precalculus Content Expectations for 7 Precalculus
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