Math Department

High School Resources

High School Math Content Standards

Algebra II Content Standards

Number Sense

• Use estimation to check reasonableness of answers.
• Select appropriate scales when graphing application problems.
• Estimate line of best fit or curve of best fit for a given set of data.
• Identify and use all subsets of the Complex Number System.
• Restrict variables in algebraic expressions or equations, when necessary, to give a meaningful statement.
• Determine reasonable domain and range when solving application problems.
• Use appropriate unit labels in solutions of application problems.

Geometry

• Accurately graph linear functions and quadratic functions.
• Use diagrams to illustrate algebraic relationships.
• Sketch the graphs of basic parent functions including linear, quadratic, exponential and logarithmic functions.
• Apply transformations to parent functions.
• Recognize and use asymptotes, holes, and axes of symmetry to describe a graph.
• Sketch graphs of the conic sections from their equations.
• Know and use coordinate geometry formulas.
• Describe the geometric interpretation of real zeros of a function.

Statistics

• Read and interpret data displays.
• Organize and display data using stem-and-leaf plots, box-and-whisker plots, histograms, and scatter plots.
• Find a line of best fit for a given set of data using a variety of methods.
• Use a regression line to make predictions for a given set of data.
• Determine measures of central tendency and measures of dispersion for a given set of data.
• Interpret percentiles and percentile ranks for a given set of data
• Describe characteristics of a normal distribution.
• Analyze the validity of statistical conclusions applied to real-world situations.

Probability

• Distinguish between combinations and permutations.
• Determine the sample space for an experiment.
• Calculate probabilities of simple and compound events.
• Calculate probabilities of mutually exclusive events.
• Solve problems involving conditional probabilities.
• Compare experimental probability with theoretical probability.

Patterns

• Recognize and describe a rule for a sequence or series.
• Distinguish between types of sequences and series.
• Use a variety of techniques to expand and factor polynomial expressions.
• Develop and use Pascal's triangle and the Binomial theorem.
• Recognize direct and inverse variation and apply them to real-world situations.

Algebra

• Expand the concepts of relations and functions.
• Explore discrete functions and piecewise functions.
• Perform operations on matrices.
• Simplify rational and irrational expressions.
• Solve problems that contain rational and irrational expressions.
• Simplify expressions with complex numbers.
• Solve quadratic equations.
• Solve equations having both real and imaginary solutions.
• Solve compound statements.
• Transform equations into various forms.
• Define conic sections and develop their properties algebraically and geometrically.
• Formulate and solve systems of equations in three unknowns.
• Develop and apply the remainder theorem and the factor theorem.
• Develop and apply the rational roots theorem.
• Develop and use synthetic division.
• Formulate and solve systems of inequalities using number lines and coordinate planes.
• Develop concepts involving sequences and series including partial sums, sigma notation, and sums of arithmetic, geometric, and infinite series.
• Develop concepts of exponential and logarithmic functions including their relationship to each other.
• Develop the properties of logarithms.
• Use functions to model real-world applications.
• Use appropriate technology to solve problems including graphing calculators, CBL's, and computers with appropriate software.