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: Number Sense and Operations
Extend previous understanding of numbers to define rational numbers. Plot, order and compare rational numbers.
- Compare rational numbers
- Compare rational numbers using a number line
- Compare rational numbers using a number line
- Decimals & fractions on the number line
- Fraction, decimal, and percent from visual model
- Introduction to negative numbers
- Negative decimals on the number line
- Negative decimals on the number line
- Negative fractions on the number line
- Negative numbers on the number line
- Negative symbol as opposite
- Negative symbol as opposite
- Number opposites
- Number opposites
- Ordering negative numbers
- Ordering rational numbers
- Ordering rational numbers
- Ordering small negative numbers
- Percents from fraction models
- Relate fractions, decimals, and percents
Given a mathematical or real-world context, represent quantities that have opposite direction using rational numbers. Compare them on a number line and explain the meaning of zero within its context.
Given a mathematical or real-world context, interpret the absolute value of a number as the distance from zero on a number line. Find the absolute value of rational numbers.
Solve mathematical and real-world problems involving absolute value, including the comparison of absolute value.
Multiply and divide positive multi-digit numbers with decimals to the thousandths, including using a standard algorithm with procedural fluency.
- Decimal multiplication place value
- Decimal multiplication place value
- Dividing by a multi-digit decimal
- Dividing decimals completely
- Dividing decimals with hundredths
- Dividing decimals: hundredths
- Dividing decimals: thousandths
- Dividing whole numbers like 56÷35 to get a decimal
- Dividing whole numbers to get a decimal
- Long division with decimals
- Multiplying challenging decimals
- Multiplying decimals like 0.847x3.54 (standard algorithm)
Extend previous understanding of multiplication and division to compute products and quotients of positive fractions by positive fractions, including mixed numbers, with procedural fluency.
- Divide fractions by whole numbers
- Divide mixed numbers
- Divide whole numbers by fractions
- Dividing a fraction by a whole number
- Dividing a whole number by a fraction
- Dividing a whole number by a fraction with reciprocal
- Dividing fractions
- Dividing fractions: 2/5 ÷ 7/3
- Dividing fractions: 3/5 ÷ 1/2
- Dividing mixed numbers
- Dividing whole numbers & fractions: t-shirts
- Interpret fraction division
- Understanding division of fractions
- Writing fraction division story problems
Solve multi-step real-world problems involving any of the four operations with positive multi-digit decimals or positive fractions, including mixed numbers.
Given a mathematical or real-world context, find the greatest common factor and least common multiple of two whole numbers.
Rewrite the sum of two composite whole numbers having a common factor, as a common factor multiplied by the sum of two whole numbers.
Evaluate positive rational numbers and integers with natural number exponents.
Express composite whole numbers as a product of prime factors with natural number exponents.
Rewrite positive rational numbers in different but equivalent forms including fractions, terminating decimals and percentages.
- Convert decimals to percents
- Convert fractions to percents
- Convert percents to decimals
- Convert percents to fractions
- Converting between percents, fractions, & decimals
- Converting decimals to percents: 0.601
- Converting decimals to percents: 1.501
- Converting percents to decimals & fractions example
- Converting percents to decimals: 113.9%
- Converting percents to decimals: 59.2%
- Fraction, decimal, and percent from visual model
- Percents from fraction models
- Relate fractions, decimals, and percents
- Rewriting decimals as fractions: 0.15
- Rewriting decimals as fractions: 0.8
- Write decimals as fractions
Apply and extend previous understandings of operations with whole numbers to add and subtract integers with procedural fluency.
- Adding & subtracting negative numbers
- Adding & subtracting negative numbers
- Adding negative numbers
- Adding negative numbers example
- Adding numbers with different signs
- Number equations & number lines
- Number equations & number lines
- Signs of sums
- Subtracting a negative = adding a positive
- Subtracting negative numbers
Apply and extend previous understandings of operations with whole numbers to multiply and divide integers with procedural fluency.