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 0-1 Sets There are no state-mandated Precalculus 0-2 Operations with Complex Numbers There are no state-mandated Precalculus 0-3 Quadratic Functions and Equations P4 Polynomial Functions P nth Roots and Real Exponents There are no state-mandated Precalculus 0-5 Systems of Linear Equations and Inequalities There are no state-mandated Precalculus 0-6 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 state-mandated Precalculus

2 Chapter 1 Functions from a Calculus Perspective 1-1 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 2-1 Power and Radical Functions There are no state-mandated Precalculus 2-2 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 2-6 Nonlinear Inequalities P4 Polynomial Functions P4.2 P5 Rational Functions and Difference Quotients P5.1 Chapter 3 Exponential and Logarithmic Functions 3-1 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 4-1 Right Triangle Trigonometry P6 Trigonometric Functions 4-2 Degrees and Radians P6 Trigonometric Functions 4-3 Trigonometric Functions on the Unit Circle P6 Trigonometric Functions 4-4 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 4-6 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 5-1 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 Multiple-Angle and Product-to-Sum Identities P6 Trigonometric Functions P6.5 P6.6 Chapter 6 Systems of Equations and Matrices 6-1 Multivariable Linear Systems and Row Operations 6-2 Matrix Multiplication, Inverses, and Determinants 6-3 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 state-mandated Precalculus 6-5 Linear Optimization P7 Vectors, Matrices and Systems of Equations P7.8 Content Expectations for 4 Precalculus

5 Chapter 7 and Parametric Equations 7-1 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 state-mandated Precalculus 7-5 Parametric Equations P9 Polar Coordinates, Parameterizations and P9.3 P9.4 P9.5 P9.6 Chapter 8 Vectors 8-1 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 8-4 Vectors in Three-Dimensional 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 9-1 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 state-mandated Precalculus 9-5 Complex Numbers and De Moivre s Theorem P9 Polar Coordinates, Parameterizations and P9.2 Chapter 10 Sequences and Series 10-1 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 10-5 The Binomial Theorem P8 Sequences, Series and Mathematical P Functions as Infinite Series P8 Sequences, Series and Mathematical P8.4 Chapter 11 Inferential Statistics 11-1 Descriptive Statistics There are no state-mandated Precalculus 11-2 Probability Distributions There are no state-mandated Precalculus 11-3 The Normal Distribution There are no state-mandated Precalculus 11-4 The Central Limit Theorem There are no state-mandated Precalculus 11-5 Confidence Intervals There are no state-mandated Precalculus 11-6 Hypothesis Testing There are no state-mandated Precalculus 11-7 Correlation and Linear Regression There are no state-mandated Precalculus Chapter 12 Limits and Derivatives 12-1 Estimating Limits Graphically P1 Functions P Evaluating Limits Algebraically P1 Functions P Tangent Lines and Velocity There are no state-mandated Precalculus 12-4 Derivatives There are no state-mandated Precalculus 12-5 Area Under a Curve and Integration There are no state-mandated Precalculus 12-6 The Fundamental Theorem of Calculus There are no state-mandated Precalculus Content Expectations for 7 Precalculus