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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: Logic and Discrete Theory: Develop an understanding of the fundamentals of propositional logic, arguments and methods of proof.
Translate propositional statements into logical arguments using propositional variables and logical connectives.
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Determine truth values of simple and compound statements using truth tables.
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Identify and accurately interpret “if…then,” “if and only if,” “all” and “not” statements. Find the converse, inverse and contrapositive of a statement.
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Represent logic operations, such as AND, OR, NOT, NOR, and XOR, using logical symbolism to solve problems.
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Determine whether two propositions are logically equivalent.
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Apply methods of direct and indirect proof and determine whether a logical argument is valid.
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Identify and give examples of undefined terms; axioms; theorems; proofs, including proofs using mathematical induction; and inductive and deductive reasoning.
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Construct proofs, including proofs by contradiction.
Construct logical arguments using laws of detachment, syllogism, tautology, contradiction and Euler Diagrams.
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Judge the validity of arguments and give counterexamples to disprove statements.
- Apply Cavalieri's principle
- Cavalieri's principle in 3D
- Defining transformations
- Defining transformations
- Dilating in 3D
- Geometric definitions
- Geometric definitions example
- Prove triangle congruence
- Prove triangle similarity
- Proving triangle congruence
- Solving similar triangles
- Solving similar triangles: same side plays different roles