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 8: Number Sense and Operations
Extend previous understanding of rational numbers to define irrational numbers within the real number system. Locate an approximate value of a numerical expression involving irrational numbers on a number line.
- Approximating square roots
- Approximating square roots
- Classify numbers
- Classify numbers: rational & irrational
- Classifying numbers
- Classifying numbers: rational & irrational
- Intro to rational & irrational numbers
- Proof: product of rational & irrational is irrational
- Proof: sum & product of two rationals is rational
- Proof: sum of rational & irrational is irrational
- Rational vs. irrational expressions
- Sums and products of irrational numbers
- Worked example: rational vs. irrational expressions
- Worked example: rational vs. irrational expressions (unknowns)
Plot, order and compare rational and irrational numbers, represented in various forms.
- Approximating square roots to hundredths
- Comparing irrational numbers
- Comparing irrational numbers with a calculator
- Comparing irrational numbers with radicals
- Comparing values with calculator
- Cube roots
- Intro to cube roots
- Intro to square roots
- Roots of decimals & fractions
- Square root of decimal
- Square roots
Extend previous understanding of the Laws of Exponents to include integer exponents. Apply the Laws of Exponents to evaluate numerical expressions and generate equivalent numerical expressions, limited to integer exponents and rational number bases, with procedural fluency.
Express numbers in scientific notation to represent and approximate very large or very small quantities. Determine how many times larger or smaller one number is compared to a second number.
Add, subtract, multiply and divide numbers expressed in scientific notation with procedural fluency.
Solve real-world problems involving operations with numbers expressed in scientific notation.
Solve multi-step mathematical and real-world problems involving the order of operations with rational numbers including exponents and radicals.