Semester 1

• 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.

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

• 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

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

• M7.9-12.1:  The learner will formulate questions to clarify the problem at hand and formulate one (or more) questions that can be answered with data.

• M7.9-12.2:  The learner will design and implement a plan to collect the appropriate data to answer the statistical question.

• 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:

• Solve any linear equation.

• Solve any linear inequality.

• Solve compound inequalities.

• Solve absolute value equations and inequalities.

Content Objectives:

Must be Covered:

The learner will:

• Solve systems of linear equations:

  • • • Graphically

      • Algebraically.

• Solve systems of linear inequalities.

• Solve systems in three variables.

Content Objectives:

Must be Covered:

The learner will:

• Interpret key features of graphs and tables:  

  • • • Extreme values

      • Symmetry

      • Vertex

      • Zeros

      • End behavior.

• Sketch graphs showing key features.

• Factor an expression to find zeros.

• Complete the square for a quadratic expression to find the vertex and axis of symmetry.

Content Objectives:

Must be Covered:

The learner will:

• • Transform functions:

    • • • Horizontal/vertical shifts

        • Horizontal/vertical compression.

  • Recognize even/odd functions from their graphs or equations.

Content Objectives:

Must be Covered:

The learner will:

• • Add, subtract, and multiply polynomials.

  • Apply long and synthetic division to divide polynomials.

  • Know and apply the Binomial Theorem. 

Content Objectives:

Must be Covered:

The learner will:

• • Use Rational Root Theorem to solve polynomials.

  • Identify the roots of a polynomial.

  • Write the equation of a polynomial of least degree with given roots.

Content Objectives:

Must be Covered:

The learner will:

• Understand and evaluate random processes underlying statistical experiments.

  • • • Identify a sampling method that provides a random sample from a population.

      • Determine if a specified model (theoretical and empirical) is consistent with results from simulation.

Content Objectives:

Must be Covered:

The learner will:

• Make inferences and justify conclusions from sample surveys, experiments, and observational studies.

  • • • Identify the purpose of and differences between experiments, sample surveys, and observational studies.

      • Use multiple samples to make an inference about a population.

      • Use graphs and simulation to determine if differences between parameters is significant.

      • Evaluate reports based on data.

Can be Covered:

The learner will:

Content Objectives:

Must be Covered:

The learner will:

• Summarize, represent, and interpret data on a single count or measurement variable.

  • • • Find measures of center and spread.

      • Compare data sets using statistical measures that are appropriate.

      • Fit a normal distribution to data.

Content Objectives:

Must be Covered:

The learner will:

• • Use probability to evaluate outcomes of decisions.

  • Use probabilities to make fair decisions.

  • Analyze decisions and strategies using probability concepts. 

Content Objectives:

Must be Covered:

The learner will:

• Distinguish between situations that are linear, quadratic, or exponential.

• Graph exponential growth and decay.

• Write exponential functions from:

  • • • A graph

      • A table

      • A description.

Content Objectives:

Must be Covered:

The learner will:

• Graph and recognize inverse relations and functions.

• Find inverses of functions.

Content Objectives:

Must be Covered:

The learner will:

• Write logarithmic functions.

• Graph logarithmic functions.

• Evaluate logarithmic functions.

• Simplify logarithmic functions.

• Translate between logarithms in any base.

Content Objectives:

Must be Covered:

The learner will:

• Write equivalent forms for exponential and logarithmic functions.

• Solve exponential and logarithmic equations and inequalities.

• Model data using exponential and logarithmic functions.

• Use exponential and logarithmic functions to analyze and predict.

Content Objectives:

Must be Covered:

The learner will:

• Graph conic sections:

  • • • Circles

      • Parabolas

      • Ellipses

      • Hyperbolas

• Transform conic sections:

  • • • Horizontal/vertical shifts

      • Horizontal/vertical compression

Content Objectives:

Must be Covered:

The learner will:

• • Write equations of conic sections:

    • • • Circles

        • Parabolas

        • Ellipses

        • Hyperbolas

  • Derive the equations of ellipses and hyperbolas given foci and directrices.