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1.1: Proving Lines Are Parallel |
1.2: Perpendicular Lines |
1.3: Justifying Constructions |
1.4: Properties of Parallelograms |
2.1: Slope and Parallel Lines |
2.2: Slope and Perpendicular Lines |
2.3: Coordinate Proof Using Distance with Segments and Triangles |
2.4: Coordinate Proof Using Distance with Quadrilaterals |
2.5: Perimeter and Area on the Coordinate Plane |
2.6: Subdividing a Segment in a Given Ratio |
3.1: Cross Sections and Solids of Revolution |
3.2: Surface Area of Prisms and Cylinders |
3.3: Surface Area of Pyramids and Cones |
3.4: Surface Area of Spheres |
4.1: Scale Factor |
4.2: Modeling and Density |
4.3: Problem Solving with Constraints |
5.1: Transformations of Function Graphs |
5.2: Inverses of Functions |
5.3: Graphing Cubic Functions |
5.4: Graphing Polynomial Functions |
6.1: Adding and Subtracting Polynomials |
6.2: Multiplying Polynomials |
6.3: The Binomial Theorem |
6.4: Factoring Polynomials |
6.5: Dividing Polynomials |
7.1: Finding Rational Solutions of Polynomial Equations |
7.2: Finding Complex Solutions of Polynomial Equations |
8.1: Graphing Simple Rational Functions |
8.2: Graphing More Complicated Rational Functions |
9.1: Adding and Subtracting Rational Expressions |
9.2: Multiplying and Dividing Rational Expressions |
9.3: Solving Rational Equations |
10.1: Inverses of Simple Quadratic and Cubic Functions |
10.2: Graphing Square Root Functions |
10.3: Graphing Cube Root Functions |
11.1: Radical Expressions and Rational Exponents |
11.2: Simplifying Radical Expressions |
11.3: Solving Radical Equations |
12.1: Arithmetic Sequences |
12.2: Geometric Sequences |
12.3: Geometric Series |
13.1: Exponential Growth Functions |
13.2: Exponential Decay Functions |
13.3: The Base e |
13.4: Compound Interest |
14.1: Fitting Exponential Function to Data |
14.2: Choosing Among Linear, Quadratic, and Exponential Models |
15.1: Defining and Evaluating a Logarithmic Function |
15.2: Graphing Logarithmic Functions |
16.1: Properties of Logarithms |
16.2: Solving Exponential Equations |
17.1: Problem Solving with Trigonometry |
17.2: Law of Sines |
17.3: Law of Cosines |
18.1: Angles of Rotation and Radian Measure |
18.2: Defining and Evaluating the Basic Trigonometric Functions |
18.3: Using a Pythagorean Identity |
19.1: Stretching, Compressing, and Reflecting Sine and Cosine Graphs |
19.2: Stretching, Compressing, and Reflecting Tangent Graphs |
19.3: Translating Trigonometric Graphs |
19.4: Fitting Sine Functions to Data |
20.1: Data-Gathering Techniques |
20.2: Shape, Center, and Spread |
21.1: Probability Distributions |
21.2: Normal Distributions |
21.3: Sampling Distributions |
22.1: Confidence Intervals and Margins of Error |
22.2: Surveys, Experiments, and Observational Studies |
22.3: Determining the Significance of Experimental Results |
23.1: Using Probability to Make Fair Decisions |
23.2: Analyzing Decisions |
24.1: Central Angles and Inscribed Angles |
24.2: Angles in Inscribed Quadrilaterals |
24.3: Tangents and Circumscribed Angles |
24.4: Segment Relationships in Circles |
24.5: Angle Relationships in Circles |
25.1: Justifying Circumference and Area of a Circle |
25.2: Arc Length and Radian Measure |
25.3: Sector Area |
26.1: Equation of a Circle |
26.2: Equation of a Parabola |