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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 linear equations, functions and inequalities in one and two variables.
Given a real-world context, write and solve one-variable multi-step linear equations.
Write a linear two-variable equation 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.
- Constructing linear equations from context
- Convert linear equations to standard form
- Converting from slope-intercept to standard form
- Intro to point-slope form
- Linear equations in any form
- Point-slope & slope-intercept equations
- Point-slope form
- Slope from equation
- Slope from equation
- Slope-intercept equation from graph
- Slope-intercept equation from graph
- Slope-intercept equation from slope & point
- Slope-intercept equation from two points
- Slope-intercept from two points
- Writing linear equations in all forms
- Writing linear equations word problems
Write a linear two-variable equation for a line that is parallel or perpendicular to a given line and goes through a given point.
- Parallel & perpendicular lines from equation
- Parallel lines from equation
- Parallel lines from equation (example 2)
- Parallel lines from equation (example 3)
- Perpendicular lines from equation
- Write equations of parallel & perpendicular lines
- Writing equations of perpendicular lines
- Writing equations of perpendicular lines (example 2)
Given a table, equation or written description of a linear function, graph that function, and determine and interpret its key features.
- Finding slope and intercepts from tables
- Function domain word problems
- Graph from linear standard form
- Graph from slope-intercept equation
- Graph from slope-intercept form
- Graphing a line given point and slope
- Graphing a linear equation: 5x+2y=20
- Graphing from slope
- Graphing linear relationships word problems
- Intercepts from a graph
- Intercepts from a table
- Intercepts from a table
- Intercepts from an equation
- Intercepts from an equation
- Intro to linear equation standard form
- Linear equations word problems: graphs
- Linear equations word problems: tables
- Linear functions word problem: fuel
- Linear functions word problem: pool
- Linear graphs word problem: cats
- Relating linear contexts to graph features
- Slope and intercept meaning in context
- Slope, x-intercept, y-intercept meaning in context
- Using slope and intercepts in context
- Worked example: determining domain word problem (all integers)
- Worked example: determining domain word problem (positive integers)
- Worked example: determining domain word problem (real numbers)
- x-intercept of a line
Solve and graph mathematical and real-world problems that are modeled with linear functions. Interpret key features and determine constraints in terms of the context.
- Finding slope and intercepts from tables
- Graphing linear relationships word problems
- Linear equations word problems: graphs
- Linear equations word problems: tables
- Linear functions word problem: fuel
- Linear functions word problem: pool
- Linear graphs word problem: cats
- Relating linear contexts to graph features
- Slope and intercept meaning in context
- Slope, x-intercept, y-intercept meaning in context
- Using slope and intercepts in context
Given a mathematical or real-world context, write and solve one-variable linear inequalities, including compound inequalities. Represent solutions algebraically or graphically.
- A compound inequality with no solution
- Compound inequalities
- Compound inequalities: AND
- Compound inequalities: OR
- Two-step inequalities
- Two-step inequality word problem: apples
- Two-step inequality word problem: R&B
- Two-step inequality word problems
- Using inequalities to solve problems
- Using inequalities to solve problems
Write two-variable linear inequalities to represent relationships between quantities from a graph or a written description within a mathematical or real-world context.
Given a mathematical or real-world context, graph the solution set to a two-variable linear inequality.