1: Students develop number sense and use numbers and number relationships in problem-solving situations and communicate the reasoning used in solving these problems.
1.1: Investigate limiting processes by examining infinite sequences and series.
Arithmetic and Geometric Sequences
Geometric Sequences
1.2: Explain relationships among real numbers, complex numbers, and vectors using models.
Points in the Complex Plane - Activity A
Vectors
2: Students use algebraic methods to explore, model, and describe patterns and functions involving numbers, shapes, data, and graphs in problem-solving situations and communicate the reasoning used in solving these problems.
2.1: Use rational, polynomial, trigonometric, and inverse functions to model real-world phenomena.
Cosine Function
Cubic Function Activity
Fourth-Degree Polynomials - Activity A
General Form of a Rational Function
Rational Functions
Sine Function
Tangent Function
2.2: Represent and solve problems using linear programming and difference equations.
Linear Programming - Activity A
2.5: Perform operations on and between functions.
Addition and Subtraction of Polynomials
2.6: Make the connections between trigonometric functions and polar coordinates, complex numbers, and series.
Arithmetic and Geometric Sequences
Complex Numbers in Polar Form
Cosine Function
Geometric Sequences
Points in Polar Coordinates
Sine Function
Tangent Function
Unit Circle
3: Students use data collection and analysis, statistics, and probability in problem-solving situations and communicate the reasoning used in solving these problems.
3.1: Create and interpret discrete and continuous probability distributions, and understanding their application to realworld situations (for example, insurance).
Binomial Probabilities
3.4: Solve real-world problems with formal use of combinations and permutations.
Binomial Probabilities
Permutations
Permutations and Combinations
4: Students use geometric concepts, properties, and relationships in problem-solving situations and communicate the reasoning used in solving these problems.
4.1: Deduce properties of figures using vectors.
Vectors
4.2: Apply transformations, coordinates, and vectors in problem-solving situations.
Dilations
Reflections
Rotations, Reflections and Translations
Vectors
4.3: Describe, analyze, and extend patterns produced by processes of geometric change (for example, limits and fractals).
Finding Patterns
Correlation last revised: 1/24/2009