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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
Grade 7: Algebraic Reasoning
Apply properties of operations to add and subtract linear expressions with rational coefficients.
Determine whether two linear expressions are equivalent.
- Combining like terms with negative coefficients & distribution
- Combining like terms with negative coefficients & distribution
- Distributive property with variables (negative numbers)
- Equivalent expressions: negative numbers & distribution
- Equivalent expressions: negative numbers & distribution
- Factoring with the distributive property
- The distributive property with variables
Write and solve one-step inequalities in one variable within a mathematical context and represent solutions algebraically or graphically.
Write and solve two-step equations in one variable within a mathematical or real-world context, where all terms are rational numbers.
- Find the mistake: two-step equations
- Find the mistake: two-step equations
- Interpret two-step equation word problems
- Intro to two-step equations
- Two-step equation word problem: garden
- Two-step equation word problem: oranges
- Two-step equations
- Two-step equations intuition
- Two-step equations with decimals and fractions
- Two-step equations with decimals and fractions
- Two-step equations with decimals and fractions
- Two-step equations word problems
- Worked example: two-step equations
Apply previous understanding of percentages and ratios to solve multi-step real-world percent problems.
Apply previous understanding of ratios to solve real-world problems involving proportions.
Solve mathematical and real-world problems involving the conversion of units across different measurement systems.
Determine whether two quantities have a proportional relationship by examining a table, graph or written description.
- Identify proportional relationships
- Identify proportional relationships from graphs
- Identifying proportional relationships from graphs
- Intro to proportional relationships
- Proportional relationships
- Proportional relationships
- Proportional relationships: bananas
- Proportional relationships: graphs
- Proportional relationships: movie tickets
- Proportional relationships: spaghetti
Determine the constant of proportionality within a mathematical or real-world context given a table, graph or written description of a proportional relationship.
- Compare constants of proportionality
- Comparing constants of proportionality
- Comparing proportionality constants
- Constant of proportionality from equation
- Constant of proportionality from graph
- Constant of proportionality from graphs
- Constant of proportionality from table (with equations)
- Constant of proportionality from tables
- Constant of proportionality from tables
- Constant of proportionality from tables (with equations)
- Identifying constant of proportionality graphically
- Interpret constant of proportionality in graphs
- Interpret constants of proportionality
- Interpret proportionality constants
Given a mathematical or real-world context, graph proportional relationships from a table, equation or a written description.
Given any representation of a proportional relationship, translate the representation to a written description, table or equation.
- Equations for proportional relationships
- Interpreting graphs of proportional relationships
- Interpreting graphs of proportional relationships
- Rates & proportional relationships
- Rates & proportional relationships example
- Rates & proportional relationships: gas mileage
- Ratios on coordinate plane
- Ratios on coordinate plane
- Writing proportional equations
- Writing proportional equations
- Writing proportional equations from tables
Solve real-world problems involving proportional relationships.