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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
High School: Trigonometry: Define and use trigonometric ratios, identities or functions to solve problems.
Define trigonometric ratios for acute angles in right triangles.
Solve mathematical and real-world problems involving right triangles using trigonometric ratios and the Pythagorean Theorem.
- Intro to inverse trig functions
- Multi-step word problem with Pythagorean theorem
- Pythagorean theorem challenge
- Relate ratios in right triangles
- Right triangle trigonometry word problems
- Right triangle word problem
- Sine & cosine of complementary angles
- Solve for a side in right triangles
- Solve for an angle in right triangles
- Solving for a side in right triangles with trigonometry
- Solving for a side in right triangles with trigonometry
- Solving similar triangles
- Special right triangles
- Special right triangles proof (part 1)
- Special right triangles proof (part 2)
- Use ratios in right triangles
- Using right triangle ratios to approximate angle measure
- Using similarity to estimate ratio between side lengths
Apply the Law of Sines and the Law of Cosines to solve mathematical and real-world problems involving triangles.
- General triangle word problems
- Laws of sines and cosines review
- Solve triangles using the law of cosines
- Solve triangles using the law of sines
- Solving for a side with the law of cosines
- Solving for a side with the law of sines
- Solving for an angle with the law of cosines
- Solving for an angle with the law of sines
- Trig word problem: stars
Solve mathematical problems involving finding the area of a triangle given two sides and the included angle.
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Prove Pythagorean Identities. Apply Pythagorean Identities to calculate trigonometric ratios and to solve problems.
Prove the Double-Angle, Half-Angle, Angle Sum and Difference formulas for sine, cosine, and tangent. Apply these formulas to solve problems.
- Find trig values using angle addition identities
- Finding trig values using angle addition identities
- Proof of the cosine angle addition identity
- Proof of the sine angle addition identity
- Proof of the tangent angle sum and difference identities
- Trig angle addition identities
- Trig identity reference
- Using the cosine angle addition identity
- Using the cosine double-angle identity
- Using the tangent angle addition identity
- Using the trig angle addition identities
- Using trig angle addition identities: finding side lengths
- Using trig angle addition identities: manipulating expressions
Solve mathematical and real-world problems involving one-variable trigonometric ratios.
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