Math Department

High School Resources

High School Math Content Standards

Algebra I

Number Sense

• Identify and compare all major subsets of the real numbers.
• Distinguish between rational and irrational numbers.
• Compare and order real numbers using < , <, >, >, and = .
• Apply concepts of primes, factors, and multiples to expressions containing variables.
• Give a rational approximation for an irrational number.

Computation

• Perform operations with signed numbers and variables.
• Simplify expressions involving roots and exponents.
• Evaluate formulas.
• Use scientific notation.
• Perform addition, subtraction, and scalar multiplication on matrices.
• Apply order of operations to algebraic expressions.
• Use appropriate units in solutions to application problems.
• Convert units and use unit analysis with standard and metric systems.

Geometry/Graphs

• Apply perimeter, area, circumference, surface area and volume formulas to common two-dimensional and three-dimensional figures.
• Understand and use the Pythagorean Theorem.
• Recognize the relationship between points on a graph and solutions to an equation.
• Determine the length of a line segment.
• Determine slope from the graph of a line or two points on a line.
• Recognize graphs of linear, quadratic, and absolute value equations.
• Graph both linear and non-linear equations and inequalities including the absolute value function and parabolas.
• Use graphing calculators to explore linear functions.

Probability

• Construct sample spaces to illustrate all possible outcomes of events.
• Determine probability for simple and compound events.
• Use area models to represent probabilities.

Statistics

• Analyze data and use information to make predictions.
• Construct and read tables, charts, and graphs.
• Determine measures of central tendency and dispersion.
• Use matrices to represent data.
• Estimate a line of best fit for a set of data.

Problem Solving

• Use a variety of problem-solving strategies including:
  • estimation
  • systematic lists
  • diagrams
  • look for a pattern
  • guess and check
  • solve a similar, simpler problem.
• Use estimation to check the reasonableness of answers.
• Use symbolic notation to represent word problems as expressions, equations, and/or inequalities.
• Use graphing calculators to display data, graph and compare functions, and explore simple programming.
• Use computers with appropriate software to explore data and create spreadsheets.
• Select and use an appropriate method for computing: estimation, mental math, pencil and paper, or calculator/computer.

Algebra

• Develop the language and vocabulary of algebra.
• Use union, intersection, and Venn diagrams to explore relationships among given sets.
• Use the properties of real numbers to simplify expressions and solve equations and inequalities.
• Solve linear equations and inequalities in one variable.
• Solve literal equations for a given variable.
• Use rules of exponents and radicals to simplify expressions.
• Add, subtract, multiply , and divide polynomials.
• Use a variety of techniques to factor and expand polynomial expressions.
• Simplify, add, subtract, multiply, and divide rational expressions.
• Simplify complex fractions.
• Solve problems involving ratio and proportion.
• Solve and graph systems of equations and inequalities.
• Solve and graph absolute value equations and inequalities.
• Solve compound sentences.
• Use both factoring and the quadratic formula to solve quadratic equations.
• Solve equations involving rational expressions and/or radicals.
• Use multiple representations (numeric, algebraic, graphic, and verbal) to illustrate a mathematical relationship.
• Write an equation for a line given its graph or a description of its graph or a set of data.
• Simplify expressions and/or equations that contain matrices.
• Develop the concept of functions including domain and range .
• Develop and use function notation.
• Recognize a pattern between two sets of numbers and develop a rule or function to express that relationship.