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: Algebraic Reasoning: Interpret and rewrite algebraic expressions and equations in equivalent forms.
Identify and interpret parts of an equation or expression that represent a quantity in terms of a mathematical or real-world context, including viewing one or more of its parts as a single entity.
- Analyzing structure word problem: pet store (1 of 2)
- Analyzing structure word problem: pet store (2 of 2)
- Factors & divisibility
- Features of quadratic functions: strategy
- Graph parabolas in all forms
- Graphing quadratics: standard form
- Graphing quadratics: vertex form
- Interpret change in exponential models
- Interpret change in exponential models: changing units
- Interpret change in exponential models: with manipulation
- Interpret exponential expressions word problems
- Interpret time in exponential models
- Interpreting change in exponential models
- Interpreting change in exponential models: changing units
- Interpreting change in exponential models: with manipulation
- Interpreting exponential expression word problem
- Interpreting time in exponential models
- Intro to factors & divisibility
- Linear equation word problems
- Linear equations word problems
- Polynomials intro
- Polynomials intro
- Quadratic word problems (vertex form)
- Quadratic word problems (vertex form)
- Reasoning about unknown variables
- Reasoning about unknown variables: divisibility
- Worked examples: Forms & features of quadratic functions
Rearrange equations or formulas to isolate a quantity of interest.
Add, subtract and multiply polynomial expressions with rational number coefficients.
- Add & subtract polynomials
- Add & subtract polynomials: find the error
- Add & subtract polynomials: two variables (intro)
- Add polynomials (intro)
- Adding polynomials
- Adding polynomials: two variables
- Area model for multiplying polynomials with negative terms
- Finding an error in polynomial subtraction
- Multiply binomials
- Multiply binomials by polynomials
- Multiply binomials by polynomials: area model
- Multiply binomials intro
- Multiply binomials: area model
- Multiply difference of squares
- Multiply monomials
- Multiply monomials by polynomials
- Multiply monomials by polynomials challenge
- Multiply monomials by polynomials: area model
- Multiply perfect squares of binomials
- Multiplying binomials
- Multiplying binomials by polynomials
- Multiplying binomials by polynomials: area model
- Multiplying binomials intro
- Multiplying binomials: area model
- Multiplying monomials
- Multiplying monomials by polynomials
- Multiplying monomials by polynomials challenge
- Multiplying monomials by polynomials: area model
- Polynomial special products: difference of squares
- Polynomial special products: difference of squares
- Polynomial special products: perfect square
- Polynomial special products: perfect square
- Polynomial subtraction
- Special products of the form (x+a)(x-a)
- Squaring binomials of the form (x+a)²
- Subtract polynomials (intro)
- Subtracting polynomials
- Subtracting polynomials: two variables
Divide a polynomial expression by a monomial expression with rational number coefficients.
Divide polynomial expressions using long division, synthetic division or algebraic manipulation.
- Divide polynomials by linear expressions
- Divide polynomials by x (with remainders)
- Divide polynomials by x (with remainders)
- Divide quadratics by linear expressions (no remainders)
- Divide quadratics by linear expressions (with remainders)
- Dividing polynomials by linear expressions
- Dividing polynomials by linear expressions: missing term
- Dividing quadratics by linear expressions (no remainders)
- Dividing quadratics by linear expressions with remainders
- Dividing quadratics by linear expressions with remainders: missing x-term
- Factor using polynomial division
- Factoring using polynomial division
- Factoring using polynomial division: missing term
Solve mathematical and real-world problems involving addition, subtraction, multiplication or division of polynomials.
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Rewrite a polynomial expression as a product of polynomials over the real number system.
- Difference of squares
- Difference of squares intro
- Difference of squares intro
- Factor quadratics by grouping
- Factoring completely with a common factor
- Factoring difference of squares: analyzing factorization
- Factoring difference of squares: leading coefficient ≠ 1
- Factoring difference of squares: shared factors
- Factoring perfect squares: missing values
- Factoring perfect squares: negative common factor
- Factoring perfect squares: shared factors
- Factoring quadratics as (x+a)(x+b)
- Factoring quadratics as (x+a)(x+b) (example 2)
- Factoring quadratics by grouping
- Factoring quadratics intro
- Factoring quadratics with a common factor
- Factoring quadratics with a common factor
- Factoring with the distributive property
- GCF factoring introduction
- Intro to grouping
- Least common multiple of polynomials
- More examples of factoring quadratics as (x+a)(x+b)
- Perfect square factorization intro
- Perfect squares
- Perfect squares intro
Rewrite a polynomial expression as a product of polynomials over the real or complex number system.
- Complex numbers & sum of squares factorization
- Difference of squares
- Factor higher degree polynomials
- Factor polynomials: common factor
- Factor polynomials: complex numbers
- Factor quadratics by grouping
- Factor using polynomial division
- Factoring completely with a common factor
- Factoring difference of squares: analyzing factorization
- Factoring difference of squares: leading coefficient ≠ 1
- Factoring difference of squares: shared factors
- Factoring higher degree polynomials
- Factoring higher-degree polynomials: Common factor
- Factoring perfect squares: missing values
- Factoring perfect squares: negative common factor
- Factoring perfect squares: shared factors
- Factoring polynomials by taking a common factor
- Factoring polynomials using complex numbers
- Factoring quadratics as (x+a)(x+b)
- Factoring quadratics as (x+a)(x+b) (example 2)
- Factoring quadratics by grouping
- Factoring quadratics intro
- Factoring quadratics with a common factor
- Factoring quadratics with a common factor
- Factoring sum of squares
- Factoring using polynomial division
- Factoring using polynomial division: missing term
- Intro to grouping
- More examples of factoring quadratics as (x+a)(x+b)
- Perfect squares
- Taking common factor from binomial
- Taking common factor from trinomial
- Taking common factor: area model
Apply previous understanding of rational number operations to add, subtract, multiply and divide rational algebraic expressions.
- Add & subtract rational expressions
- Add & subtract rational expressions: unlike denominators
- Adding & subtracting rational expressions
- Adding & subtracting rational expressions: like denominators
- Adding rational expression: unlike denominators
- Dividing rational expressions
- Dividing rational expressions: unknown expression
- Intro to adding & subtracting rational expressions
- Intro to adding rational expressions with unlike denominators
- Multiply & divide rational expressions
- Multiply & divide rational expressions (advanced)
- Multiply & divide rational expressions (basic)
- Multiplying & dividing rational expressions: monomials
- Multiplying rational expressions
- Multiplying rational expressions: multiple variables
- Rational functions: FAQ
- Reducing rational expressions to lowest terms
- Reducing rational expressions to lowest terms
- Simplify rational expressions (advanced)
- Simplify rational expressions: common binomial factors
- Simplify rational expressions: common monomial factors
- Simplifying rational expressions: grouping
- Simplifying rational expressions: higher degree terms
- Simplifying rational expressions: two variables
- Subtracting rational expressions
- Subtracting rational expressions: factored denominators
- Subtracting rational expressions: unlike denominators
Solve mathematical and real-world problems involving addition, subtraction, multiplication or division of rational algebraic expressions.
- Add & subtract rational expressions
- Add & subtract rational expressions: unlike denominators
- Adding & subtracting rational expressions
- Adding & subtracting rational expressions: like denominators
- Adding rational expression: unlike denominators
- Dividing rational expressions
- Intro to adding & subtracting rational expressions
- Intro to adding rational expressions with unlike denominators
- Multiply & divide rational expressions
- Multiply & divide rational expressions (basic)
- Multiplying & dividing rational expressions: monomials
- Multiplying rational expressions
- Rational functions: FAQ
- Subtracting rational expressions
- Subtracting rational expressions: factored denominators
- Subtracting rational expressions: unlike denominators
Apply the Binomial Theorem to create equivalent polynomial expressions.