Pre-Calculus
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Table of Contents
Semester 1
Unit 1 Intro Skills
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1.0 Marking the Text
1.1 Multiple Representations
1.2 Linear Functions
1.3 Basic Factoring
Unit 1 Review
Unit 1 Skillz Review
Unit 2 Functions and Limits
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Unit 2 Skillz Review
2.1 Function Introduction
2.2 Domain & Range Graphically
2.3 Limits Graphically
2.4 Limits to Infinity
Unit 2 Review
Unit 3 Function Analysis
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Unit 3 Skillz Review
3.1 Discontinuity and Domain Analytically
3.2 Extrema
3.3 Piecewise FunctIons
Unit 3 Review
Unit 4 Function Algebra
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4.1 Transformations
4.2 Even and Odd Functions
4.3 Operations with Functions
4.4 Inverse Functions
Unit 4 Review
Unit 4 Skillz Review
Unit 5 Polynomials
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Unit 5 Skillz Review
5.1 Operations on Polynomials
5.2 Polynomial Divison and Factor Theorem
5.3 Polynomial Graphs
Unit 5 Review
Unit 6 Rational Functions
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6.1 Solving Rational Functions
6.2 Complex Fractions and Rationalizing
6.3 Graphing Rational Functions
6.4 Variation and Modeling
Unit 6 Review
Unit 6 Skillz Review
Unit 7 Exponential and Logarithmic Functions
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7.1 Exponential Functions
7.2 Logarithmic Functions
7.3 Exp and Log Problem Solving
Unit 7 Review
Unit 7 Skillz Review
SEMESTER EXAM
Semester 2
Unit 8 Intro to Trigonometry
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8.1 Angles and Degrees
8.2 Radians
8.3 Velocity
8.4 Basic Trig Functions
Unit 8 Review
Unit 8 Skillz Review
Unit 9 Unit Circle
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9.1 Reference Triangles and Reciprocal Trig Functions
9.2 Reference and Special Triangles
9.3 Evaluating Trig Functions
Unit 9 Review
Unit 9 Skillz Review
Unit 10 Graphing Trig Functions
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Unit 10 Skillz Review
10.1 Graphing Sine and Cosine
10.2 Phase Shift and Tangent
10.3 Reciprocal Trig Graphs
10.4 Inverse Trig Functions
Unit 10 Review
Unit 11 Trig Identities
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11.1 Basic Identities and Trig Algebra
11.2 Negative and Pythagorean Identities
11.3 Sum and Difference Identities
11.4 Double and Half Angle Identities
11.5 Trigonometric Equations
Unit 11 Review
Unit 12 Solve Triangles
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12.1 Law of Sines
12.2 Law of Cosines
12.3 Area of Triangles
Unit 12 Review
Unit 12 Skillz Review
Unit 13 Coordinate Systems
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13.1 Three Dimensional Graphs
13.2 Polar Coordinates
Unit 13 Review
Unit 14 Series and Sequences
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14.1 Sequences, Series and Summation
14.2 Arithmetic and Geometric Sequences
14.3 The Binomial Theorem
Unit 14 Skillz Review
Review Unit 14
Unit 15 Calculus Intro
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Unit 15 Skillz Review
15.1 Limits Analytically
15.2 Definition of the Derivative
15.3 Power Rule
15 Review
SEMESTER 2 EXAM
Pacing Guide
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Section 1.0 Marking the Text
SMP1: Understand and Perservere SMP4: Modeling SMP6: Precision