Please note: This is not a course syllabus. A course syllabus is unique to a particular section of a course by instructor. This curriculum guide provides general information about a course.
Critical thinking (inductive and deductive reasoning, estimation)
Problem solving (understand the problem, devise a plan, carry out the plan, check the answer)
Number theory (prime numbers, composite numbers, divisibility, greatest common divisor, least common multiple)
Operations with integers (order of operations, using number lines, absolute value, adding, subtracting, multiplying, dividing, using inequality symbols)
Operations with rational numbers (reducing fractions, changing fractions to decimals, changing decimals to fractions, adding and subtracting fractions)
Operations with irrational numbers (simplify, multiply, add, subtract, and rationalize expressions with square roots)
Expressions with exponents (use positive and negative exponents, write and use scientific notation)
Real numbers (classify, identify properties)
Ratios and proportions (solve)
Quadratic equations (solve by factoring and using quadratic formula)
Graphs of ordered pairs and equations
Functions (evaluate, graph, use vertical line test, analyze the graph of a function to gather information)
Linear functions (find intercepts, calculate slope, graph, interpret slope and intercepts in applied problems)
Quadratic functions (graph, find vertex and intercepts, solve application problems)
Systems of linear equations (solve systems having two variables)
Consumer mathematics and financial management (percent, income tax calculations, simple and compound interest, installment buying, mortgages and the cost of home ownership)
Measurement in metrics (length, area, volume, weight, temperature)
Geometry (perimeter, area, circumference, volume, right triangle trigonometry)
Statistics (central tendencies, dispersion)
In addition, students will study part or all of the following additional concepts and processes, to be determined by each individual instructor:
Number systems (our Hindu-Arabic system, early positional systems, converting to number bases other than ten)
Logic (statements, negations, quantified statements, compound statements, connectives, truth tables, conditional and bi-conditional statements, arguments)
Computations in bases other than base ten
Exponential functions (graph, solve application problems)
Early numeration systems (Egyptian, Roman, Chinese, Greek)
Arithmetic and geometric sequences
Linear inequalities (one variable, two variables, linear programming)
Probability
Set theory (basic set concepts, Venn diagrams, subsets, intersection, union) OR Counting methods (determine the number of possible outcomes, count permutations, count combinations)