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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 and solve a system of two- and three-variable equations and inequalities that describe quantities or relationships.
Given a mathematical or real-world context, write and solve a system of two-variable linear equations algebraically or graphically.
- Age word problem: Arman & Diya
- Age word problem: Ben & William
- Age word problem: Imran
- Age word problems
- Combining equations
- Creating systems in context
- Elimination strategies
- Elimination strategies
- Setting up a system of equations from context example (pet weights)
- Setting up a system of linear equations example (weight and price)
- Solutions of systems of equations
- System of equations word problem: walk & ride
- Systems of equations with elimination
- Systems of equations with elimination (and manipulation)
- Systems of equations with elimination challenge
- Systems of equations with elimination: x-4y=-18 & -x+3y=11
- Systems of equations with graphing
- Systems of equations with graphing: exact & approximate solutions
- Systems of equations with graphing: y=7/5x-5 & y=3/5x-1
- Systems of equations with substitution
- Systems of equations with substitution: -3x-4y=-2 & y=2x-5
- Systems of equations word problems
- Testing a solution to a system of equations
Given a mathematical or real-world context, solve a system consisting of a two-variable linear equation and a non-linear equation algebraically or graphically.
Given a mathematical or real-world context, solve a system consisting of two-variable linear or non-linear equations algebraically or graphically.
- Age word problem: Arman & Diya
- Age word problem: Ben & William
- Age word problem: Imran
- Age word problems
- Solving equations by graphing: word problems
- Solving equations graphically: word problems
- System of equations word problem: infinite solutions
- System of equations word problem: no solution
- System of equations word problem: walk & ride
- Systems of equations with elimination
- Systems of equations with elimination (and manipulation)
- Systems of equations with elimination challenge
- Systems of equations with elimination: x-4y=-18 & -x+3y=11
- Systems of equations with graphing
- Systems of equations with graphing: exact & approximate solutions
- Systems of equations with graphing: y=7/5x-5 & y=3/5x-1
- Systems of equations with substitution
- Systems of equations with substitution: -3x-4y=-2 & y=2x-5
- Systems of equations word problems
- Systems of equations word problems (with zero and infinite solutions)
Graph the solution set of a system of two-variable linear inequalities.
Graph the solution set of a system of two-variable inequalities.
Given a real-world context, represent constraints as systems of linear equations or inequalities. Interpret solutions to problems as viable or non-viable options.
- Creating systems in context
- Interpret points relative to a system
- System of equations word problem: infinite solutions
- System of equations word problem: no solution
- System of equations word problem: walk & ride
- Systems of equations word problems (with zero and infinite solutions)
- Systems of inequalities word problems
Given a real-world context, represent constraints as systems of linear and non-linear equations or inequalities. Interpret solutions to problems as viable or non-viable options.
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Solve real-world problems involving linear programming in two variables.
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Given a mathematical or real-world context, solve a system of three-variable linear equations algebraically.
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Solve and graph mathematical and real-world problems that are modeled with piecewise functions. Interpret key features and determine constraints in terms of the context.
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