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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 6: Algebraic Reasoning
Given a mathematical or real-world context, translate written descriptions into algebraic expressions and translate algebraic expressions into written descriptions.
- Writing algebraic subtraction expressions
- Writing basic expressions with variables
- Writing basic expressions with variables
- Writing basic expressions word problems
- Writing basic expressions word problems
- Writing expressions with parentheses
- Writing expressions with variables
- Writing expressions with variables
- Writing expressions word problems
- Writing expressions word problems
Translate a real-world written description into an algebraic inequality in the form of x>a, x=a, or x<= a. Represent the inequality on a number line.
- Graphing basic inequalities
- Inequalities word problems
- Inequality from graph
- Inequality word problem: one variable
- Interpreting linear expressions
- Interpreting linear expressions: diamonds
- Interpreting linear expressions: flowers
- Numerical inequality word problems
- Plotting an inequality example
- Plotting inequalities
- Plotting inequalities
Evaluate algebraic expressions using substitution and order of operations.
- Dividing both sides of an equation
- Evaluating an expression with one variable
- Evaluating exponent expressions with variables
- Evaluating expressions like 5x² & ⅓(6)ˣ
- Evaluating expressions with multiple variables
- Evaluating expressions with one variable
- Evaluating expressions with two variables
- One-step addition & subtraction equations
- One-step addition & subtraction equations
- One-step addition equation
- One-step division equations
- One-step equations intuition
- One-step multiplication & division equations
- One-step multiplication equations
- Variable expressions with exponents
Apply the properties of operations to generate equivalent algebraic expressions with integer coefficients.
- Combining like terms
- Combining like terms
- Combining like terms example
- Combining like terms with negative coefficients
- Combining like terms with negative coefficients
- Create equivalent expressions by factoring
- Distributive property over addition
- Distributive property over subtraction
- Distributive property with variables
- Distributive property with variables
- Equivalent expressions
- Equivalent expressions
- Factor with distributive property (variables)
Given an equation or inequality and a specified set of integer values, determine which values make the equation or inequality true or false.
- Addition & subtraction: find the missing value
- Addition & subtraction: find the missing value (part 1 of 2)
- Addition & subtraction: find the missing value (part 2 of 2)
- Testing solutions to equations
- Testing solutions to equations
- Testing solutions to inequalities
- Testing solutions to inequalities (basic)
Write and solve one-step equations in one variable within a mathematical or real-world context using addition and subtraction, where all terms and solutions are integers.
- Identify equations from visual models (hanger diagrams)
- Identify equations from visual models (tape diagrams)
- Model with one-step equations
- Model with one-step equations and solve
- Modeling with one-step equations
- One-step addition & subtraction equations
- One-step addition & subtraction equations
- One-step addition equation
- One-step equations intuition
- Representing a relationship with an equation
- Translate one-step equations and solve
Write and solve one-step equations in one variable within a mathematical or real-world context using multiplication and division, where all terms and solutions are integers.
- Dividing both sides of an equation
- Identify equations from visual models (hanger diagrams)
- Identify equations from visual models (tape diagrams)
- Model with one-step equations
- Model with one-step equations and solve
- Modeling with one-step equations
- One-step division equations
- One-step equations intuition
- One-step multiplication & division equations
- One-step multiplication equations
- Representing a relationship with an equation
- Translate one-step equations and solve
Determine the unknown decimal or fraction in an equation involving any of the four operations, relating three numbers, with the unknown in any position.
- One-step addition & subtraction equations
- One-step addition & subtraction equations: fractions & decimals
- One-step addition & subtraction equations: fractions & decimals
- One-step addition equation
- One-step division equations
- One-step multiplication & division equations: fractions & decimals
- One-step multiplication & division equations: fractions & decimals
- One-step multiplication equations
Given a real-world context, write and interpret ratios to show the relative sizes of two quantities using appropriate notation: a/b, a to b, or a:b where b not equal to 0.
Given a real-world context, determine a rate for a ratio of quantities with different units. Calculate and interpret the corresponding unit rate.
Extend previous understanding of fractions and numerical patterns to generate or complete a two- or three-column table to display equivalent part-to-part ratios and part-to-part-to-whole ratios.
Apply ratio relationships to solve mathematical and real-world problems involving percentages using the relationship between two quantities.
- Benchmark percents
- Find percents visually
- Finding a percent
- Finding common percentages
- Finding percentages with a double number line
- Finding percents
- Finding the whole with a tape diagram
- Intro to percents
- Meaning of 109%
- Percent of a whole number
- Percent word problem: recycling cans
- Percent word problems
- Percents from fraction models
- Percents from fraction models
- The meaning of percent
Solve mathematical and real-world problems involving ratios, rates and unit rates, including comparisons, mixtures, ratios of lengths and conversions within the same measurement system.
- Create double number lines
- Equivalent ratio word problems
- Equivalent ratio word problems
- Equivalent ratios
- Equivalent ratios
- Equivalent ratios with equal groups
- Equivalent ratios: recipe
- Part to whole ratio word problem using tables
- Rate problems
- Rate problems
- Ratios and double number lines
- Solving unit price problem
- Solving unit rate problem
- Understand equivalent ratios in the real world
- Understanding equivalent ratios