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Math
- Interpret and rewrite algebraic expressions and equations in equivalent forms.
- Write, solve and graph linear equations, functions and inequalities in one and two variables.
- Write, solve and graph quadratic equations, functions and inequalities in one and two variables.
- Write, solve and graph absolute value equations, functions and inequalities in one and two variables.
- Write, solve and graph exponential and logarithmic equations and functions in one and two variables.
- Solve and graph polynomial equations and functions in one and two variables.
- Solve and graph radical equations and functions in one and two variables.
- Solve and graph rational equations and functions in one and two variables.
- Write and solve a system of two- and three-variable equations and inequalities that describe quantities or relationships.
- Solve problems involving sequences and series.
- Build mathematical foundations for financial literacy.
- Develop an understanding of basic accounting and economic principles.
- Describe the advantages and disadvantages of short-term and long-term purchases.
- Describe the advantages and disadvantages of financial and investment plans, including insurances.
- Prove and apply geometric theorems to solve problems.
- Apply properties of transformations to describe congruence or similarity.
- Use coordinate geometry to solve problems or prove relationships.
- Use geometric measurement and dimensions to solve problems.
- Make formal geometric constructions with a variety of tools and methods.
- Use properties and theorems related to circles.
- Apply geometric and algebraic representations of conic sections.
- Summarize, represent and interpret categorical and numerical data with one and two variables.
- Solve problems involving univariate and bivariate numerical data.
- Solve problems involving categorical data.
- Use and interpret independence and probability.
- Determine methods of data collection and make inferences from collected data.
- Use probability distributions to solve problems.
- Apply recursive methods to solve problems.
- Apply optimization and techniques from Graph Theory to solve problems.
- Apply techniques from Election Theory and Fair Division Theory to solve problems.
- Develop an understanding of the fundamentals of propositional logic, arguments and methods of proof.
- Apply properties from Set Theory to solve problems.
Florida B.E.S.T. Math
High School: Functions: Understand, compare and analyze properties of functions.
Given an equation or graph that defines a function, determine the function type. Given an input-output table, determine a function type that could represent it.
Given a function represented in function notation, evaluate the function for an input in its domain. For a real-world context, interpret the output.
Calculate and interpret the average rate of change of a real-world situation represented graphically, algebraically or in a table over a specified interval.
- Average rate of change of polynomials
- Average rate of change word problem: graph
- Average rate of change word problem: table
- Average rate of change word problems
- Average rate of change: graphs & tables
- Finding average rate of change of polynomials
- Sign of average rate of change of polynomials
- Worked example: average rate of change from graph
- Worked example: average rate of change from table
Write an algebraic expression that represents the difference quotient of a function. Calculate the numerical value of the difference quotient at a given pair of points.
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Compare key features of linear functions each represented algebraically, graphically, in tables or written descriptions.
- Compare linear functions
- Comparing linear functions word problem: climb
- Comparing linear functions word problem: walk
- Comparing linear functions word problem: work
- Comparing linear functions word problems
- Comparing linear functions: equation vs. graph
- Comparing linear functions: faster rate of change
- Comparing linear functions: same rate of change
Compare key features of linear and nonlinear functions each represented algebraically, graphically, in tables or written descriptions.
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Compare key features of two functions each represented algebraically, graphically, in tables or written descriptions.
- Absolute maxima and minima
- Compare features of functions
- Compare quadratic functions
- Comparing features of quadratic functions
- Comparing functions: shared features
- Comparing functions: x-intercepts
- Comparing maximum points of quadratic functions
- Determine the domain of functions
- Determining whether values are in domain of function
- Domain and range from graph
- End behavior of algebraic models
- End behavior of algebraic models
- Examples finding the domain of functions
- Function domain word problems
- Graph interpretation word problem: basketball
- Graph interpretation word problem: temperature
- Graph interpretation word problems
- Identifying values in the domain
- Increasing and decreasing intervals
- Increasing, decreasing, positive or negative intervals
- Positive and negative intervals
- Relative maxima and minima
- Worked example: absolute and relative extrema
- Worked example: determining domain word problem (all integers)
- Worked example: determining domain word problem (positive integers)
- Worked example: determining domain word problem (real numbers)
- Worked example: domain and range from graph
- Worked example: positive & negative intervals
Determine whether a linear, quadratic or exponential function best models a given real-world situation.
Determine whether a function is even, odd or neither when represented algebraically, graphically or in a table.