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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 5: Algebraic Reasoning
Solve multi-step real-world problems involving any combination of the four operations with whole numbers, including problems in which remainders must be interpreted within the context.
Solve real-world problems involving the addition, subtraction or multiplication of fractions, including mixed numbers and fractions greater than 1.
- Add and subtract fractions word problems
- Add and subtract fractions: FAQ
- Add and subtract mixed numbers word problems (like denominators)
- Adding fractions word problem: paint
- Fraction word problem: lizard
- Multiply fractions word problems
- Multiplying fractions word problem: bike
- Multiplying fractions word problem: laundry
- Multiplying fractions word problem: muffins
- Subtracting fractions word problem: tomatoes
- Subtracting mixed numbers with like denominators word problem
Solve real-world problems involving division of a unit fraction by a whole number and a whole number by a unit fraction.
Translate written real-world and mathematical descriptions into numerical expressions and numerical expressions into written mathematical descriptions.
Evaluate multi-step numerical expressions using order of operations.
Determine and explain whether an equation involving any of the four operations is true or false.
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Given a mathematical or real-world context, write an equation involving any of the four operations to determine the unknown whole number with the unknown in any position.
- Writing basic expressions with variables
- Writing basic expressions with variables
- Writing basic expressions with variables
- Writing basic expressions word problems
- Writing basic expressions word problems
- Writing basic expressions word problems
- Writing expressions with variables
- Writing expressions with variables
- Writing expressions with variables & parentheses
- Writing expressions word problems
- Writing expressions word problems
Given a numerical pattern, identify and write a rule that can describe the pattern as an expression.
- Algebraic thinking: FAQ
- Dependent & independent variables
- Factors and multiples: days of the week
- Graphing patterns on coordinate plane
- Graphing sequence relationships
- Graphs of rules that relate 2 variables
- Interpreting patterns on coordinate plane
- Interpreting relationships in ordered pairs
- Patterns with numbers
- Rules that relate 2 variables
- Tables from rules that relate 2 variables
Given a rule for a numerical pattern, use a two-column table to record the inputs and outputs.