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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 8: Algebraic Reasoning
Apply the Laws of Exponents to generate equivalent algebraic expressions, limited to integer exponents and monomial bases.
Apply properties of operations to multiply two linear expressions with rational coefficients.
Rewrite the sum of two algebraic expressions having a common monomial factor as a common factor multiplied by the sum of two algebraic expressions.
Solve multi-step linear equations in one variable, with rational number coefficients. Include equations with variables on both sides.
- Creating an equation with infinitely many solutions
- Creating an equation with no solutions
- Equation with variables on both sides: fractions
- Equations with parentheses
- Equations with parentheses
- Equations with parentheses: decimals & fractions
- Equations with variables on both sides
- Equations with variables on both sides: 20-7x=6x-6
- Equations with variables on both sides: decimals & fractions
- Intro to equations with variables on both sides
- Number of solutions to equations
- Number of solutions to equations
- Number of solutions to equations challenge
- Worked example: number of solutions to equations
Solve two-step linear inequalities in one variable and represent solutions algebraically and graphically.
Given an equation in the form of x^2 = p and x^3 = q, where p is a whole number and q is an integer, determine the real solutions.
Determine if a linear relationship is also a proportional relationship.
- Graphing proportional relationships
- Graphing proportional relationships from a table
- Graphing proportional relationships from an equation
- Graphing proportional relationships: unit rate
- Identify proportional relationships
- Identify proportional relationships from graphs
- Identifying proportional relationships from graphs
- Proportional relationships: bananas
- Proportional relationships: graphs
- Proportional relationships: movie tickets
- Proportional relationships: spaghetti
Given a table, graph or written description of a linear relationship, determine the slope.
- Calculating slope from tables
- Comparing linear functions word problem: climb
- Comparing linear functions word problem: walk
- Comparing linear functions word problem: work
- Comparing linear functions word problems
- Slope from graph
- Slope from two points
- Slope in a table
- Worked example: slope from graph
- Worked example: slope from two points
Given a table, graph or written description of a linear relationship, write an equation in slope-intercept form.
Given a mathematical or real-world context, graph a two-variable linear equation from a written description, a table or an equation in slope-intercept form.
Given a real-world context, determine and interpret the slope and y-intercept of a two-variable linear equation from a written description, a table, a graph or an equation in slope-intercept form.
- Identify proportional relationships from graphs
- Identifying proportional relationships from graphs
- Interpreting slope and y-intercept for linear models
- Interpreting slope of regression line
- Interpreting y-intercept in regression model
- Linear equations word problem: file transfer
- Linear equations word problem: marbles
- Linear equations word problems
- Linear equations word problems: graphs
- Linear graphs word problem: cats
- Proportional relationships: graphs
- Slope and y-intercept from equation
- Slope-intercept intro
- Worked examples: slope-intercept intro
Given a system of two linear equations and a specified set of possible solutions, determine which ordered pairs satisfy the system of linear equations.
Given a system of two linear equations represented graphically on the same coordinate plane, determine whether there is one solution, no solution or infinitely many solutions.
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Given a mathematical or real-world context, solve systems of two linear equations by graphing.