Course+outline

course outline

1.01: Transform relations in two dimensions; describe the results algebraically and geometrically.
[|Translating and Scaling Functions]

1.02: Use the quadratic relations (parabola, circle, ellipse, hyperbola) to model and solve problems; justify results.
1.02.a: Solve using tables, graphs, and algebraic properties. [|Ellipse - Activity A][|Hyperbola - Activity A][|Parabolas - Activity A] 1.02.b: Interpret the constants and coefficients in the context of the problem. [|Ellipse - Activity A][|Hyperbola - Activity A][|Parabolas - Activity A]

2.01: Use functions (polynomial, power, rational, exponential, logarithmic, logistic, piecewise-defined, and greatest integer) to model and solve problems; justify results.
2.01.a: Solve using graphs and algebraic properties. [|Distance-Time Graphs][|Exponential Functions - Activity A][|Fourth-Degree Polynomials - Activity A][|General Form of a Rational Function][|Logarithmic Functions - Activity A][|Logarithmic Functions: Translating and Scaling][|Rational Functions] 2.01.b: Interpret the constants, coefficients, and bases in the context of the problem. [|Exponential Functions - Activity A][|Fourth-Degree Polynomials - Activity A][|General Form of a Rational Function][|Logarithmic Functions - Activity A][|Logarithmic Functions: Translating and Scaling][|Rational Functions]

2.02: Use trigonometric and inverse trigonometric functions to model and solve problems; justify results.
2.02.a: Solve using graphs and algebraic properties. [|Cosine Function][|Distance-Time Graphs][|Sine Function][|Tangent Function] 2.02.b: Create and identify transformations with respect to period, amplitude, and vertical and horizontal shifts. [|Translating and Scaling Functions][|Translating and Scaling Sine and Cosine Functions - Activity A]

2.03: For sets of data, create and use calculator-generated models of linear, polynomial, exponential, trigonometric, power, logistic, and logarithmic functions.
2.03.a: Interpret the constants, coefficients, and bases in the context of the data. [|Exponential Functions - Activity A][|Fourth-Degree Polynomials - Activity A][|Function Machines 2 (Functions, Tables, and Graphs)][|Logarithmic Functions - Activity A][|Logarithmic Functions: Translating and Scaling][|Sine Function][|Tangent Function]

2.04: Use the composition and inverse of functions to model and solve problems.
[|Function Machines 3 (Functions and Problem Solving)]

2.05: Use polar equations to model and solve problems.
2.05.a: Solve using graphs and algebraic properties. [|Distance-Time Graphs]

2.06: Use parametric equations to model and solve problems.
[|Modeling and Solving Two-Step Equations]

2.07: Use recursively-defined functions to model and solve problems.
2.07.d: Translate between recursive and explicit representations. [|Arithmetic Sequences][|Arithmetic and Geometric Sequences][|Geometric Sequences]