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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 quadratic equations, functions and inequalities in one and two variables.
Given a mathematical or real-world context, write and solve one-variable quadratic equations over the real number system.
- Completing the square
- Completing the square (intermediate)
- Completing the square (intro)
- Number of solutions of quadratic equations
- Quadratic formula
- Quadratics by factoring
- Quadratics by factoring (intro)
- Quadratics by taking square roots
- Quadratics by taking square roots (intro)
- Quadratics by taking square roots: strategy
- Quadratics by taking square roots: strategy
- Quadratics by taking square roots: with steps
- Solve by completing the square: Integer solutions
- Solve by completing the square: Non-integer solutions
- Solve equations by completing the square
- Solving quadratics by factoring
- Solving quadratics by factoring: leading coefficient ≠ 1
- Solving quadratics by taking square roots
- Solving quadratics by taking square roots
- Solving quadratics by taking square roots examples
- Solving quadratics by taking square roots: with steps
- Strategy in solving quadratic equations
- Strategy in solving quadratics
- Using the quadratic formula: number of solutions
- Worked example: Completing the square (intro)
- Worked example: completing the square (leading coefficient ≠ 1)
- Worked example: quadratic formula (example 2)
- Worked example: quadratic formula (negative coefficients)
- Worked example: Rewriting & solving equations by completing the square
- Worked example: Rewriting expressions by completing the square
- Zero product property
- Zero product property
Given a mathematical or real-world context, write and solve one-variable quadratic equations over the real and complex number systems.
- Complex numbers & sum of squares factorization
- Factoring polynomials using complex numbers
- Quadratics & the Fundamental Theorem of Algebra
- Quadratics by factoring
- Quadratics by factoring (intro)
- Solve quadratic equations: complex solutions
- Solving quadratic equations: complex roots
- Solving quadratics by factoring
- Solving quadratics by factoring: leading coefficient ≠ 1
- Word problems: Solving quadratic equations
- Word problems: Writing quadratic equations
Given a mathematical or real-world context, write and solve one-variable quadratic inequalities over the real number system. Represent solutions algebraically or graphically.
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Write a quadratic function to represent the relationship between two quantities from a graph, a written description or a table of values within a mathematical or real-world context.
Given the x-intercepts and another point on the graph of a quadratic function, write the equation for the function.
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Given an expression or equation representing a quadratic function, determine the vertex and zeros and interpret them in terms of a real-world context.
- Interpret quadratic models
- Interpret quadratic models: Factored form
- Interpret quadratic models: Vertex form
- Quadratic word problem: ball
- Quadratic word problems (factored form)
- Quadratic word problems (factored form)
- Quadratic word problems (standard form)
- Quadratic word problems (vertex form)
- Quadratic word problems (vertex form)
Given a table, equation or written description of a quadratic function, graph that function, and determine and interpret its key features.
- Features of quadratic functions
- Features of quadratic functions: strategy
- Finding features of quadratic functions
- Graph parabolas in all forms
- Graph quadratics in factored form
- Graph quadratics in standard form
- Graph quadratics in vertex form
- Graphing quadratics: standard form
- Graphing quadratics: vertex form
- Parabolas intro
Solve and graph mathematical and real-world problems that are modeled with quadratic functions. Interpret key features and determine constraints in terms of the context.
- Features of quadratic functions
- Finding features of quadratic functions
- Graph parabolas in all forms
- Graphing quadratics: standard form
- Graphing quadratics: vertex form
- Interpret a quadratic graph
- Interpret a quadratic graph
- Interpret parabolas in context
- Interpret quadratic models
- Interpret quadratic models: Factored form
- Interpret quadratic models: Vertex form
- Interpreting a parabola in context
- Quadratic word problem: ball
- Quadratic word problems (factored form)
- Quadratic word problems (factored form)
- Quadratic word problems (standard form)
- Quadratic word problems (vertex form)
- Quadratic word problems (vertex form)
- Solve by completing the square: Integer solutions
- Solve by completing the square: Non-integer solutions
- Solve equations by completing the square
- Solving equations by graphing: intro
- Solving equations graphically: intro
Given a mathematical or real-world context, write two-variable quadratic inequalities to represent relationships between quantities from a graph or a written description.
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Given a mathematical or real-world context, graph the solution set to a two-variable quadratic inequality.
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