Основно съдържание
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 7: Number Sense and Operations
Know and apply the Laws of Exponents to evaluate numerical expressions and generate equivalent numerical expressions, limited to whole-number exponents and rational number bases.
Rewrite rational numbers in different but equivalent forms including fractions, mixed numbers, repeating decimals and percentages to solve mathematical and real-world problems.
Solve mathematical problems using multi-step order of operations with rational numbers including grouping symbols, whole-number exponents and absolute value.
Add, subtract, multiply and divide rational numbers with procedural fluency.
- Adding & subtracting fractions
- Adding & subtracting negative fractions
- Adding fractions with different signs
- Dividing fractions: 3/5 ÷ 1/2
- Dividing mixed numbers
- Dividing mixed numbers with negatives
- Dividing negative fractions
- Dividing positive and negative fractions
- Multiplying 2 fractions: 5/6 x 2/3
- Multiplying positive and negative fractions
- Multiplying positive and negative fractions
Solve real-world problems involving any of the four operations with rational numbers.
- Adding & subtracting negative numbers
- Interpreting multiplication & division of negative numbers
- Interpreting negative number statements
- Interpreting negative number statements
- Multiplying & dividing negative numbers word problems
- Negative number addition and subtraction: word problems
- Negative number word problem: Alaska