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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: Algebraic Reasoning: Write, solve and graph exponential and logarithmic equations and functions in one and two variables.
Solve one-variable exponential equations using the properties of exponents.
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Solve one-variable equations involving logarithms or exponential expressions. Interpret solutions as viable in terms of the context and identify any extraneous solutions.
- Solve exponential equations using exponent properties
- Solve exponential equations using exponent properties (advanced)
- Solve exponential equations using logarithms: base-10 and base-e
- Solve exponential equations using logarithms: base-2 and other bases
- Solving equations by graphing: graphing calculator
- Solving equations by graphing: intro
- Solving equations by graphing: word problems
- Solving equations graphically: graphing calculator
- Solving equations graphically: intro
- Solving equations graphically: word problems
- Solving exponential equations using exponent properties
- Solving exponential equations using exponent properties (advanced)
- Solving exponential equations using logarithms
- Solving exponential equations using logarithms: base-10
- Solving exponential equations using logarithms: base-2
Given a mathematical or real-world context, classify an exponential function as representing growth or decay.
Write an exponential function to represent a relationship between two quantities from a graph, a written description or a table of values within a mathematical or real-world context.
- Construct exponential models
- Constructing exponential models
- Constructing exponential models: half life
- Constructing exponential models: percent change
- Exponential expressions word problems (algebraic)
- Exponential expressions word problems (algebraic)
- Exponential expressions word problems (numerical)
- Exponential expressions word problems (numerical)
- Exponential functions from tables & graphs
- Writing exponential functions from tables
- Writing functions with exponential decay
- Writing functions with exponential decay
Given an expression or equation representing an exponential function, reveal the constant percent rate of change per unit interval using the properties of exponents. Interpret the constant percent rate of change in terms of a real-world context.
- Equivalent forms of exponential expressions
- Equivalent forms of exponential expressions
- Interpret change in exponential models
- Interpret change in exponential models: changing units
- Interpret change in exponential models: with manipulation
- Interpreting change in exponential models
- Interpreting change in exponential models: changing units
- Interpreting change in exponential models: with manipulation
- Rewrite exponential expressions
- Rewriting exponential expressions as A⋅Bᵗ
Given a table, equation or written description of an exponential function, graph that function and determine its key features.
- Connecting exponential graphs with contexts
- Graphing exponential growth & decay
- Graphing exponential growth & decay
- Graphs of exponential growth
- Graphs of exponential growth
- Interpret exponential expressions word problems
- Interpreting exponential expression word problem
- Modeling with basic exponential functions word problem
Solve and graph mathematical and real-world problems that are modeled with exponential functions. Interpret key features and determine constraints in terms of the context.
- Comparing models to fit data example
- Exponential model word problem: bacteria growth
- Exponential model word problem: medication dissolve
- Exponential model word problems
- Fitting quadratic and exponential functions to scatter plots
- Graphing exponential functions
- Graphing exponential growth & decay
- Graphing exponential growth & decay
- Graphs of exponential functions
- Transforming exponential graphs
- Transforming exponential graphs (example 2)
Given a table, equation or written description of a logarithmic function, graph that function and determine its key features.
Solve and graph mathematical and real-world problems that are modeled with logarithmic functions. Interpret key features and determine constraints in terms of the context.