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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 8: Geometric Reasoning
Apply the Pythagorean Theorem to solve mathematical and real-world problems involving unknown side lengths in right triangles.
- Intro to the Pythagorean theorem
- Pythagorean theorem example
- Pythagorean theorem in 3D
- Pythagorean theorem in 3D
- Pythagorean theorem with isosceles triangle
- Pythagorean theorem word problem: carpet
- Pythagorean theorem word problem: fishing boat
- Pythagorean theorem word problems
- Use area of squares to visualize Pythagorean theorem
- Use Pythagorean theorem to find area
- Use Pythagorean theorem to find area of an isosceles triangle
- Use Pythagorean theorem to find isosceles triangle side lengths
- Use Pythagorean theorem to find perimeter
- Use Pythagorean theorem to find right triangle side lengths
Apply the Pythagorean Theorem to solve mathematical and real-world problems involving the distance between two points in a coordinate plane.
Use the Triangle Inequality Theorem to determine if a triangle can be formed from a given set of sides. Use the converse of the Pythagorean Theorem to determine if a right triangle can be formed from a given set of sides.
Solve mathematical problems involving the relationships between supplementary, complementary, vertical or adjacent angles.
- Complementary & supplementary angles
- Complementary and supplementary angles (no visual)
- Complementary and supplementary angles (visual)
- Complementary and supplementary angles review
- Create equations to solve for missing angles
- Equation practice with angle addition
- Equation practice with complementary angles
- Equation practice with supplementary angles
- Equation practice with vertical angles
- Find measure of angles word problem
- Find measure of vertical angles
- Finding angle measures between intersecting lines
- Finding missing angles
- Identifying supplementary, complementary, and vertical angles
- Unknown angle problems (with algebra)
- Vertical angles
- Vertical angles
- Vertical angles are congruent proof
Solve problems involving the relationships of interior and exterior angles of a triangle.
Develop and use formulas for the sums of the interior angles of regular polygons by decomposing them into triangles.
Given a preimage and image generated by a single transformation, identify the transformation that describes the relationship.
Given a preimage and image generated by a single dilation, identify the scale factor that describes the relationship.
Describe and apply the effect of a single transformation on two-dimensional figures using coordinates and the coordinate plane.
Solve mathematical and real-world problems involving proportional relationships between similar triangles.