Основно съдържание
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: Number Sense and Operations: Generate equivalent expressions and perform operations with expressions involving exponents, radicals or logarithms.
Extend previous understanding of the Laws of Exponents to include rational exponents. Apply the Laws of Exponents to evaluate numerical expressions and generate equivalent numerical expressions involving rational exponents.
- Evaluate radical expressions challenge
- Evaluating fractional exponents
- Evaluating fractional exponents: fractional base
- Evaluating fractional exponents: negative unit-fraction
- Evaluating mixed radicals and exponents
- Evaluating quotient of fractional exponents
- Exponent properties review
- Multiplying & dividing powers (integer exponents)
- Negative exponents review
- Powers of products & quotients (integer exponents)
- Properties of exponents challenge (integer exponents)
Generate equivalent algebraic expressions using the properties of exponents.
- Equivalent forms of exponential expressions
- Equivalent forms of exponential expressions
- Fractional exponents
- Interpret change in exponential models: with manipulation
- Interpreting change in exponential models: with manipulation
- Intro to rational exponents
- Properties of exponents (rational exponents)
- Properties of exponents intro (rational exponents)
- Rational exponents challenge
- Rewrite exponential expressions
- Rewriting exponential expressions as A⋅Bᵗ
- Rewriting mixed radical and exponential expressions
- Rewriting quotient of powers (rational exponents)
- Rewriting roots as rational exponents
- Unit-fraction exponents
Generate equivalent algebraic expressions involving radicals or rational exponents using the properties of exponents.
- Fractional exponents
- Intro to rational exponents
- Properties of exponents (rational exponents)
- Properties of exponents intro (rational exponents)
- Rational exponents challenge
- Rewriting mixed radical and exponential expressions
- Rewriting quotient of powers (rational exponents)
- Rewriting roots as rational exponents
- Unit-fraction exponents
Apply previous understanding of operations with rational numbers to add, subtract, multiply and divide numerical radicals.
Add, subtract, multiply and divide algebraic expressions involving radicals.
- Evaluate radical expressions challenge
- Evaluating fractional exponents
- Evaluating fractional exponents: fractional base
- Evaluating fractional exponents: negative unit-fraction
- Evaluating mixed radicals and exponents
- Evaluating quotient of fractional exponents
- Simplifying radical expressions (addition)
- Simplifying square-root expressions: no variables
Given a numerical logarithmic expression, evaluate and generate equivalent numerical expressions using the properties of logarithms or exponents.
- Evaluate logarithms
- Evaluate logarithms (advanced)
- Evaluate logarithms: change of base rule
- Evaluating logarithms (advanced)
- Evaluating logarithms: change of base rule
- Intro to logarithms
- Intro to Logarithms
- Logarithm change of base rule intro
- Relationship between exponentials & logarithms
- Relationship between exponentials & logarithms
- Relationship between exponentials & logarithms: graphs
- Relationship between exponentials & logarithms: tables
- Use the properties of logarithms
- Using the logarithmic power rule
- Using the logarithmic product rule
Given an algebraic logarithmic expression, generate an equivalent algebraic expression using the properties of logarithms or exponents.