MATHEMATICS SKILLS
Arithmetic Skills
- Add, subtract, multiply and divide rational numbers in fractional form
- Add, subtract, multiply and divide rational numbers in decimal form
- Calculate percent increase and percent decrease
- Solve "a% of b is c," where two of the variables are given
- Recognize the meaning of exponents
- Recognize the role of the base number in the base-ten numeration system
- Identify equivalent forms of decimals, percents, and fractions
- Determine the order relation between real numbers
- Identify a reasonable estimate of a sum, average or product
- Infer relations between numbers in general by examining number pairs
- Solve real-world problems that do not involve the use of percent
- Solve real-world problems that involve the use of percent
- Solve problems that involve the structure and logic of arithmetic
Geometry and Measurement Skills
- Round measurements
- Calculate distance, area, and volume
- Identify relationships between angle measures
- Classify simple plane figures by recognizing their properties
- Recognize similar triangles and their properties
- Identify units of measurement for geometric objects
- Infer formulas for measuring geometric figures
- Select applicable formulas for computing measures of geometric figures
- Solve real-world problems involving perimeters, areas, and volumes of geometric figures
- Solve real-world problems involving the Pythagorean property
Algebra Skills
- Add, subtract, multiply, and divide real numbers
- Apply the order-of-operations agreement
- Use scientific notation
- Solve linear equations and inequalities
- Use formulas to compute results
- Find particular values of a function
- Factor a quadratic expression
- Find the roots of a quadratic equation
- Solve a system of two linear equations in two unknowns
- Use properties of operations correctly
- Determine whether a number is among the solutions of a given equation or inequality
- Recognize statements and conditions of proportionality and variation
- Identify regions of the coordinate plane that correspond to specific conditions and vice versa
- Use applicable properties to select equivalent equations or inequalities
- Solve real-world problems involving the use of variables
- Solve problems that involve the structure and logic of algebra
Statistics Skills, Including Probability
- Identify information contained in graphs
- Determine the mean, median, and mode
- Use the fundamental counting principle
- Recognize properties and interrelationships among the mean, median, and mode
- Choose the most appropriate procedures for selecting an unbiased sample
- Identity the probability of a specified outcome
- Infer relations and make accurate predictions from studying statistical data
- Interpret real world data involving frequency and cumulative frequency tables
- Solve real-world problems involving probabilities
Logical Reasoning Skills
- Deduce facts of set inclusion or set non-inclusion from a diagram
- Identify negations of simple and compound statements
- Determine equivalence and nonequivalence of statements
- Draw logical conclusions from data
- Recognize invalid arguments with true conclusions
- Recognize valid reasoning patterns shown in everyday language
- Select applicable rules for transforming statements without affecting their meaning
- Draw logical conclusions when facts warrant them
- The unedited definitions of the skills listed above are contained in State Board of Education Rule 6A-10.0316, Florida Administrative Code.