Secondary Course Expectations

1. The student understands and applies the concepts and procedures of mathematics.

• 1. understands and applies basic properties and order of operations
• 2. simplifies and evaluates algebraic expressions
• 3. solves linear equations, and systems of equations, formulas, and literal equations
• 4. solves equations containing absolute value, inequalities, sets, and solution sets.
• 5. adds, subtracts, multiplies, divides, and simplifies polynomials and uses factoring patterns.
• 6, uses rational expressions, ratio, and proportion
• 7. constructs graphs on a number line and on a coordinate plane
• 8. graphs systems of equations and inequalities
• 9. simplifies radical expressions
• 10. identifies simple differences between geometric properties of a plane and a sphere
• 11. understands and constructs multiple geometric transformations using combinations of translation, reflection, or rotation
• 12. uses formulas to find perimeter, circumference, area, surface area, and volume of 2- and 3-dimensional geometric figures
• 13. organizes data using matrix, frequency table, histo-grams, stem-and-leaf plots, and box-and -whisker plots
• 14. identifies and calculates the mean, median, mode, and range of data
• 15. uses experimental probability to make predictions
• 16. finds probability of dependent, independent, and compound events
• 17. finds the number of permutations and combinations of a set

2. The student uses mathematics to define and solve problems.

• 1. identifies what information is missing or extraneous and compensates for it
• 2. develops algebraic expressions
• 3. applies appropriate methods, operations, and processes to construct a solution

3. The student uses mathematical reasoning

• 1. makes and tests predictions and inferences to either support or contradict them
• 2. checks for reasonableness of results
• 3. supports arguments and justifies results using inductive and deductive reasoning
• 4. reflects on and evaluates procedures and results and makes necessary revisions

4. The student communicates knowledge and understanding in both everyday and mathematical language.

• 1. expresses ideas and situations using mathematical language and notations in appropriate and efficient form
• 2. collects, organizes, clarifies, and refines mathematical information by reflecting, verbalizing, discussing, or writing.

5. The student understands how mathematical ideas connect within mathematics, to other subject areas, and to real-life situations.

• 1. applies algebraic formulas to solve problems from work and life situations
• 2. integrates the use of a variety of available technologies
• 3. investigates the mathematical knowledge and training requirements for occupational or career areas of interest
• 4. applies mathematical thinking and modeling in other disciplines