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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 4: Fractions
Model and express a fraction, including mixed numbers and fractions greater than one, with the denominator 10 as an equivalent fraction with the denominator 100.
Use decimal notation to represent fractions with denominators of 10 or 100, including mixed numbers and fractions greater than 1, and use fractional notation with denominators of 10 or 100 to represent decimals.
- Common fractions and decimals
- Decimal place value
- Relate decimals and fractions in words
- Relating decimals and fractions in words
- Rewriting decimals as fractions: 0.15
- Rewriting decimals as fractions: 0.36
- Rewriting decimals as fractions: 0.8
- Rewriting decimals as fractions: 2.75
- Rewriting fractions as decimals
- Write common fractions as decimals
- Write decimals and fractions greater than 1 shown on grids
- Write decimals and fractions greater than 1 shown on number lines
- Write decimals and fractions shown on grids
- Write decimals and fractions shown on number lines
- Write decimals as fractions
- Write fractions as decimals (denominators of 10 & 100)
- Writing a number as a fraction and decimal
- Writing decimals and fractions greater than 1 shown on grids
- Writing decimals and fractions shown on number lines
- Writing decimals as fractions review
Identify and generate equivalent fractions, including fractions greater than one. Describe how the numerator and denominator are affected when the equivalent fraction is created.
- Creating equivalent fractions
- Equivalent fraction visually
- Equivalent fractions
- Equivalent fractions
- Equivalent fractions (fraction models)
- Equivalent fractions (number lines)
- Equivalent fractions and different wholes
- Equivalent fractions on number lines
- Equivalent fractions on the number line
- Equivalent fractions with models
- More on equivalent fractions
- Visualizing equivalent fractions review
Plot, order and compare fractions, including mixed numbers and fractions greater than one, with different numerators and different denominators.
- Compare fractions and mixed numbers
- Compare fractions using benchmarks
- Compare fractions with different numerators and denominators
- Compare fractions word problems
- Comparing and ordering fractions
- Comparing fractions
- Comparing fractions 1 (unlike denominators)
- Comparing fractions 2 (unlike denominators)
- Comparing fractions word problems
- Comparing fractions: fraction models
- Comparing fractions: number line
- Comparing fractions: tape diagram
- Comparing improper fractions and mixed numbers
- Order fractions
- Relate fractions to 1
- Relating fractions to 1
- Representing 1 as a fraction
- Visually compare fractions with unlike denominators
- Visually comparing fractions review
Decompose a fraction, including mixed numbers and fractions greater than one, into a sum of fractions with the same denominator in multiple ways. Demonstrate each decomposition with objects, drawings and equations.
Add and subtract fractions with like denominators, including mixed numbers and fractions greater than one, with procedural reliability.
- Add and subtract fractions word problems (same denominator)
- Add and subtract mixed numbers (no regrouping)
- Add and subtract mixed numbers (with regrouping)
- Add and subtract mixed numbers word problems (like denominators)
- Add fractions with common denominators
- Adding fractions with like denominators
- Adding mixed numbers with like denominators
- Fraction word problem: lizard
- Fraction word problem: piano
- Fraction word problem: pizza
- Fraction word problem: spider eyes
- Mixed number addition with regrouping
- Subtract fractions with common denominators
- Subtracting fractions with like denominators
- Subtracting mixed numbers with like denominators
- Subtracting mixed numbers with like denominators word problem
- Subtracting mixed numbers with regrouping
Explore the addition of a fraction with denominator of 10 to a fraction with denominator of 100 using equivalent fractions.
Extend previous understanding of multiplication to explore the multiplication of a fraction by a whole number or a whole number by a fraction.
- Equivalent fraction and whole number multiplication problems
- Equivalent whole number and fraction multiplication expressions
- Fraction multiplication on the number line
- Interpret multiplying fraction and whole number word problems
- Multiply fractions and whole numbers
- Multiply fractions and whole numbers on the number line
- Multiply fractions and whole numbers with fraction models
- Multiply fractions and whole numbers word problems
- Multiply mixed numbers and whole numbers
- Multiply unit fractions and whole numbers
- Multiplying fractions and whole numbers
- Multiplying fractions and whole numbers visually
- Multiplying fractions by whole numbers on a number line
- Multiplying fractions by whole numbers word problem
- Multiplying fractions word problem: milk
- Multiplying fractions word problem: movies
- Multiplying mixed numbers by whole numbers
- Multiplying unit fractions and whole numbers