Semester 1

• • M1.9-12.2:  The learner will interpret and use symbols to express relationships and justify reasoning when solving problems.

  • M3.9-12.1:  The learner will use computational strategies and algorithms and provide rationale for their use.

  • M3.9-12.2:  The learner will reason quantitatively when analyzing, representing, and solving problems.M5.9-12.1

  • M5.9-12.3:  The learner will interpret, analyze, and use relations and functions applied in a variety of contexts, including real-world phenomena.

  • M5.9-12.4:  The learner will analyze relations and functions, using multiple representations.

  • M5.9-12.5:  The learner will identify, build, and perform operations on relations and functions and justify their reasoning. 

Semester 2

• M1.9-12.1:  The learner will write, apply, and provide a rationale for a mathematical model representing a given situation.

• M1.9-12.2:  The learner will interpret and use symbols to express relationships and justify reasoning when solving problems.

• M2.9-12.1:  The learner will justify how to apply properties of real number systems to variable expressions in a variety of contexts.

• M3.9-12.1:  The learner will use computational strategies and algorithms and provide rationale for their use.

• M3.9-12.2:  The learner will reason quantitatively when analyzing, representing, and solving problems.

• M4.9-12.1:  The learner will provide rationale for solving measurement problems that require making conversions among various units and measurement systems, or applying the effect of a scale factor.

• M5.9-12.1:  The learner will apply properties of arithmetic and algebra to simplify and manipulate symbolic expressions or models.

• M5.9-12.2:  The learner will write and apply algebraic modes to represent and answer questions about a given situation.

• M5.9-12.3:  The learner will interpret, analyze, and use relations and functions applied in a variety of contexts, including real-world phenomena.

• M5.9-12.4:  The learner will analyze relations and functions, using multiple representations.

• M5.9-12.5:  The learner will identify, build, and perform operations on relations and functions and justify their reasoning.

• M7.9-12.3:  The learner will summarize data using appropriate statistics.

• M7.9-12.4:  The learner will select appropriate graphical and numerical methods, and use these methods to represent the data in a way that supports interpretation.

• M7.9-12.6:  The learner will apply probability concepts to analyze and evaluate potential decisions and strategies. 

Content Objectives:

Must be Covered:

The learner will:

• Perform operations with functions:

  • • • Add

      • Subtract

      • Composition.

Content Objectives:

Must be Covered:

The learner will:

• Find inverses of functions:

  • • • To include domain restriction when needed.

• Verify inverses through composition.

• Use a graph or table to find values of an inverse.

• Use the inverse relationship between exponentials and logarithms to solve problems.

Content Objectives:

Must be Covered:

The learner will:

• Graph functions and show key features:

  • • • Linear

      • Quadratic

      • Square and cube root

      • Piecewise to include step and absolute value

      • Polynomial functions

      • Rational functions

      • Exponential functions

      • Logarithmic functions.

• Find domain and range of a function.

Content Objectives:

Must be Covered:

The learner will:

• • Write arithmetic sequences recursively.

  • Write arithmetic sequences explicitly.

  • Write geometric sequences recursively.

  • Write geometric sequences explicitly.

  • Model situation with sequences.

Content Objectives:

Must be Covered:

The learner will:

• • Use summation notation to write finite and infinite series.

  • Use summation notation to evaluate finite and infinite series.

Content Objectives:

Must be Covered:

The learner will:

• Graph the six trigonometric functions and their transformations.

• Graph the inverses of trigonometric functions.

• Model periodic phenomena with trigonometric functions.

Content Objectives:

Must be Covered:

The learner will:

• • Recognize vector quantities have both magnitude and direction.

  • Represent vectors with directed line segments.

  • Use appropriate symbols for vectors and their magnitudes .

  • Find the components of a vector.

  • Solve problems that can be represented by vectors.

  • Add and subtract vectors.

  • Multiply a vector by a scalar.

Content Objectives:

Must be Covered:

The learner will:

• Graph parametric functions with and without technology.

• Graph ordered pairs in polar.

• Graph polar functions.

Content Objectives:

Must be Covered:

The learner will:

• Represent complex numbers on the complex plane.