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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: Fractions
Given a mathematical or real-world problem, represent the division of two whole numbers as a fraction.
Add and subtract fractions with unlike denominators, including mixed numbers and fractions greater than 1, with procedural reliability.
- Add and subtract fractions
- Add and subtract mixed numbers with unlike denominators (no regrouping)
- Add and subtract mixed numbers with unlike denominators (regrouping)
- Add fractions with unlike denominators
- Adding and subtracting 3 fractions
- Adding fractions with unlike denominators
- Adding fractions with unlike denominators introduction
- Adding mixed numbers with regrouping
- Adding mixed numbers: 19 3/18 + 18 2/3
- Common denominators
- Common denominators review
- Common denominators: 1/4 and 5/6
- Common denominators: 3/5 and 7/2
- Equivalent expressions with common denominators
- Estimate to add and subtract fractions with different denominators
- Estimating adding fractions with unlike denominators
- Finding common denominators
- Solving for the missing fraction
- Subtracting fractions with unlike denominators
- Subtracting fractions with unlike denominators
- Subtracting fractions with unlike denominators introduction
- Subtracting mixed numbers with regrouping (unlike denominators)
- Subtracting mixed numbers: 7 6/9 - 3 2/5
- Visually add and subtract fractions
- Visually adding fractions: 5/6+1/4
- Visually subtracting fractions: 3/4-5/8
Extend previous understanding of multiplication to multiply a fraction by a fraction, including mixed numbers and fractions greater than 1, with procedural reliability.
- Area of rectangles with fraction side lengths
- Equivalent fraction and whole number multiplication problems
- Finding area with fractional sides 1
- Finding area with fractional sides 2
- Multiply fractions and whole numbers
- Multiply fractions and whole numbers visually
- Multiply fractions word problems
- Multiply fractions: FAQ
- Multiply mixed numbers
- Multiplying 2 fractions: 5/6 x 2/3
- Multiplying 2 fractions: fraction model
- Multiplying 2 fractions: number line
- Multiplying fractions
- Multiplying fractions and whole numbers
- Multiplying fractions and whole numbers visually
- Multiplying fractions by whole numbers on a number line
- Multiplying fractions with visuals
- Multiplying fractions word problem: bike
- Multiplying fractions word problem: laundry
- Multiplying fractions word problem: muffins
- Multiplying mixed numbers
- Multiplying unit fractions and whole numbers
- Represent fraction multiplication with visuals
When multiplying a given number by a fraction less than 1 or a fraction greater than 1, predict and explain the relative size of the product to the given number without calculating.
Extend previous understanding of division to explore the division of a unit fraction by a whole number and a whole number by a unit fraction.
- Divide fractions and whole numbers word problems
- Divide fractions: FAQ
- Dividing a unit fraction by a whole number
- Dividing a whole number by a unit fraction
- Dividing fractions and whole number word problems
- Dividing unit fractions by whole numbers
- Dividing unit fractions by whole numbers visually
- Dividing whole numbers by unit fractions
- Dividing whole numbers by unit fractions visually
- Fraction and whole number division in contexts
- Fraction division in context
- Multiplication and division relationship for fractions
- Relate fraction division to fraction multiplication
- Visually dividing unit fraction by a whole number
- Visually dividing whole numbers by unit fractions