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Florida's B.E.S.T. Standards: Algebra 1 Florida's B.E.S.T. Standards: Algebra 1
Florida's B.E.S.T. Standards: Algebra 2 Florida's B.E.S.T. Standards: Algebra 2
Florida's B.E.S.T. Standards: Calculus Florida's B.E.S.T. Standards: Calculus
Florida's B.E.S.T. Standards: Discrete Math Honors Florida's B.E.S.T. Standards: Discrete Math Honors
Florida's B.E.S.T. Standards: Fourth Courses Florida's B.E.S.T. Standards: Fourth Courses
Florida's B.E.S.T. Standards: Geometry Florida's B.E.S.T. Standards: Geometry
Florida's B.E.S.T. Standards: Mathematical Thinking and Reasoning Standards Florida's B.E.S.T. Standards: Mathematical Thinking and Reasoning Standards
Florida's B.E.S.T. Standards: Mathematics for College Algebra Florida's B.E.S.T. Standards: Mathematics for College Algebra
Florida's B.E.S.T. Standards: Mathematics for College Liberal Arts Florida's B.E.S.T. Standards: Mathematics for College Liberal Arts

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NSO Number Sense and Operations

MA.912.NSO.2 Represent and perform operations with expressions within the complex number system.
- MA.912.NSO.2.2 Represent addition, subtraction, multiplication and conjugation of complex numbers geometrically on the complex plane.
- MA.912.NSO.2.3 Calculate the distance and midpoint between two numbers on the complex coordinate plane.
  - Midpoints in the complex plane (PC-W.7)
  - Distance in the complex plane (PC-W.8)
- MA.912.NSO.2.4 Solve mathematical and real-world problems involving complex numbers represented algebraically or on the coordinate plane.
- MA.912.NSO.2.5 Represent complex numbers on the complex plane in rectangular and polar forms. Explain why the rectangular and polar forms of a given complex number represent the same number.
- MA.912.NSO.2.6 Rewrite complex numbers to trigonometric form. Multiply complex numbers in trigonometric form.
MA.912.NSO.3 Represent and perform operations with vectors.
- MA.912.NSO.3.1 Apply appropriate notation and symbols to represent vectors in the plane as directed line segments. Determine the magnitude and direction of a vector in component form.
- MA.912.NSO.3.2 Represent vectors in component form, linear form or trigonometric form. Rewrite vectors from one form to another.
- MA.912.NSO.3.3 Solve mathematical and real-world problems involving velocity and other quantities that can be represented by vectors.
- MA.912.NSO.3.4 Solve mathematical and real-world problems involving vectors in two dimensions using the dot product and vector projections.
- MA.912.NSO.3.5 Solve mathematical and real-world problems involving vectors in three dimensions using the dot product and cross product.
- MA.912.NSO.3.6 Add and subtract vectors algebraically or graphically.
- MA.912.NSO.3.7 Given the magnitude and direction of two or more vectors, determine the magnitude and direction of their sum.
  - Find the magnitude and direction of a vector sum (PC-Y.9)
- MA.912.NSO.3.8 Multiply a vector by a scalar algebraically or graphically.
  - Multiply a vector by a scalar (PC-Y.10)
  - Scalar multiples of three-dimensional vectors (PC-Z.4)
- MA.912.NSO.3.9 Compute the magnitude and direction of a vector scalar multiple.
  - Find the magnitude of a vector scalar multiple (PC-Y.11)
  - Determine the direction of a vector scalar multiple (PC-Y.12)
MA.912.NSO.4 Represent and perform operations with matrices.
- MA.912.NSO.4.1 Given a mathematical or real-world context, represent and manipulate data using matrices.
  - Matrix vocabulary (PC-Q.1)
- MA.912.NSO.4.2 Given a mathematical or real-world context, represent and solve a system of two-or three-variable linear equations using matrices.
  - Solve a system of equations using augmented matrices (PC-N.8)
  - Solve a system of equations using augmented matrices: word problems (PC-N.9)
- MA.912.NSO.4.3 Solve mathematical and real-world problems involving addition, subtraction and multiplication of matrices.
- MA.912.NSO.4.4 Solve mathematical and real-world problems using the inverse and determinant of matrices.
- MA.912.NSO.4.5 Identify and use the additive and multiplicative identities for matrices to solve mathematical and real-world problems.

AR Algebraic Reasoning

MA.912.AR.9 Write and solve a system of two-and three-variable equations and inequalities that describe quantities or relationships.
- MA.912.AR.9.7 Solve real-world problems involving linear programming.
- MA.912.AR.9.8 Given a mathematical or real-world context, solve a system of three-variable linear equations algebraically.

F Functions

MA.912.F.1 Understand, compare and analyze properties of functions.
- MA.912.F.1.4 Demonstrate understanding of the concept of limit and estimate limits from graphs and tables of values, as related to the concept of the derivative of a function.
- MA.912.F.1.8 Determine whether a function is even, odd or neither when represented algebraically, graphically or in a table.
  - Symmetry and periodicity of trigonometric functions (PC-T.2)

FL Financial Literacy

MA.912.FL.1 Determine simple and compound interest and demonstrate its relationship to functions. Calculate and use net present and net future values.
- MA.912.FL.1.1 Compare simple, compound and continuously compounded interest over time.
- MA.912.FL.1.5 Determine the consumer price index (CPI) for goods. Interpret its value in terms of the context.
- MA.912.FL.1.6 Solve problems involving potential profit and actual cost.
MA.912.FL.2 Describe the advantages and disadvantages of short-term and long-term purchases.
- MA.912.FL.2.1 Compare the advantages and disadvantages of using cash versus personal financing options or other forms of electronic payment.
- MA.912.FL.2.2 Calculate the finance charges and total amount due on a bill using various forms of credit.
- MA.912.FL.2.3 Manipulate a variety of variables to compare the advantages and disadvantages of deferred payments.
- MA.912.FL.2.4 Calculate the total cost of purchasing consumer durables over time given different monthly payments, down payments, financing options and fees.
- MA.912.FL.2.5 Calculate the fees associated with a mortgage.
- MA.912.FL.2.6 Substitute values to evaluate a variety of mortgage formulas.
- MA.912.FL.2.7 Solve problems involving student, personal and car loans, including finding the total amount to be paid, adjustable rates and refinancing options.
- MA.912.FL.2.8 Calculate the final payout amount for a balloon mortgage.
- MA.912.FL.2.9 Compare the cost of paying a higher interest rate and fewer mortgage points versus a lower interest rate and more mortgage points.
- MA.912.FL.2.10 Calculate the total amount paid for the life of a loan including the down payment, fees and interest.
- MA.912.FL.2.11 Calculate and compare, in terms of functions, the total cost for a set purchase price using a fixed rate, adjustable rate and a balloon mortgage.
- MA.912.FL.2.12 Compare interest rate calculations and annual percentage rate calculations, and distinguish between the two rates.
MA.912.FL.3 Develop personal financial skills and describe the advantages and disadvantages of financial and investment plans.
- MA.912.FL.3.1 Develop personal budgets that fit within various income brackets.
- MA.912.FL.3.2 Calculate the break-even point to determine the viability of purchasing options for housing, car and other durable goods.
- MA.912.FL.3.3 Explain cash management strategies including checking and savings accounts.
- MA.912.FL.3.4 Given assets and liabilities, calculate net worth.
- MA.912.FL.3.5 Given a scenario, establish a plan to pay off debt.
- MA.912.FL.3.6 Given a scenario, complete and calculate federal income tax, analyzing different options such as standard deductions versus itemized deductions and taxes owed based on income brackets from the tax table.
- MA.912.FL.3.7 Calculate and compare various options and fees for medical, car, homeowners and life insurance.
- MA.912.FL.3.8 Collect, organize and interpret data to determine an effective retirement savings plan to meet personal financial goals.
- MA.912.FL.3.9 Solve problems involving different types of retirement plans, including traditional IRA, Roth,IRA, 401K, 403B and annuities.
- MA.912.FL.3.10 Compare different ways that portfolios can be diversified in both investments and investment vehicles.
- MA.912.FL.3.11 Purchase stock with a set amount of money, and evaluate its worth over time considering gains, losses and selling, taking into account any associated fees.
- MA.912.FL.3.12 Compare income from purchase of common stock, preferred stock and bonds.
- MA.912.FL.3.13 Given current exchange rates, convert between currencies.
- MA.912.FL.3.14 Apply data to compare historical rates of return on investments with investment claims to make informed decisions and identify potential fraud.

GR Geometric Reasoning

MA.912.GR.2 Apply properties of transformations to describe congruence or similarity.
- MA.912.GR.2.6 Justify the criteria for triangle congruence using the definition of congruence in terms of rigid transformations.
- MA.912.GR.2.8 Justify the criteria for triangle similarity using the definition of similarity in terms of non-rigid transformations.
MA.912.GR.5 Make formal geometric constructions with a variety of tools and methods.
- MA.912.GR.5.3 Construct the inscribed and circumscribed circles of a triangle.
  - Construct the inscribed or circumscribed circle of a triangle (G-X.5)
- MA.912.GR.5.4 Construct a regular polygon inscribed in a circle. Regular polygons are limited to triangles, quadrilaterals and hexagons.
MA.912.GR.7 Apply geometric and algebraic representations of conic sections.
- MA.912.GR.7.1 Identify the conic resulting from the cross-section of cones.
- MA.912.GR.7.4 Given a mathematical or real-world context, derive and create the equation of a parabola using key features.
  - Write equations of parabolas in vertex form (PC-U.2)
- MA.912.GR.7.5 Graph and solve mathematical and real-world problems that are modeled with an equation of a parabola. Determine and interpret key features in terms of the context.
  - Find properties of parabolas (PC-U.1)
  - Graph parabolas (PC-U.3)
- MA.912.GR.7.6 Given a mathematical or real-world context, derive and create the equation of an ellipse using key features.
  - Write equations of ellipses in standard form (PC-U.9)
- MA.912.GR.7.7 Graph and solve mathematical and real-world problems that are modeled with an equation of an ellipse. Determine and interpret key features in terms of the context.
  - Find properties of ellipses (PC-U.7)
- MA.912.GR.7.8 Given a mathematical or real-world context, derive and create the equation of a hyperbola using key features.
  - Write equations of hyperbolas in standard form (PC-U.12)
- MA.912.GR.7.9 Graph and solve mathematical and real-world problems that are modeled with an equation of a hyperbola. Determine and interpret key features in terms of the context.
  - Find properties of hyperbolas (PC-U.10)

T Trigonometry

MA.912.T.1 Define and use trigonometric ratios, identities or functions to solve problems.
- MA.912.T.1.8 Solve trigonometric equations within a mathematical or real-world context, applying inverse functions and using technology when appropriate.
  - Solve trigonometric equations (PC-R.11)
MA.912.T.2 Extend trigonometric functions to the unit circle.
- MA.912.T.2.3 Given angles measured in radians or degrees, calculate the values of the six trigonometric functions.
MA.912.T.3 Graph and apply trigonometric relations and functions.
- MA.912.T.3.1 Describe and demonstrate the connections between right triangle ratios and trigonometric functions.
- MA.912.T.3.2 On the coordinate plane, express the values of sine, cosine and tangent for π – x, π + x and 2π – x in terms of their values for x, where x is any real number.
- MA.912.T.3.3 Given a mathematical or real-world context, choose sine, cosine or tangent trigonometric functions to model periodic phenomena with specified amplitude, frequency, horizontal shift and midline.
- MA.912.T.3.4 Given a table, equation or written description of a trigonometric function, graph that function and determine key features.
- MA.912.T.3.6 Verify that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.
- MA.912.T.3.7 Solve mathematical and real-world problems involving applications of trigonometric functions using graphing technology when appropriate.
MA.912.T.4 Extend rectangular coordinates and equations to polar and parametric forms.
- MA.912.T.4.1 Define polar coordinates and relate polar coordinates to Cartesian coordinates with and without the use of technology.
- MA.912.T.4.2 Represent equations given in rectangular coordinates in terms of polar coordinates.
- MA.912.T.4.3 Graph equations in the polar coordinate plane with and without the use of graphing technology.
  - Match polar equations and graphs (PC-X.5)
- MA.912.T.4.4 Identify and graph special polar equations, including circles, cardioids, limacons, rose curves and lemniscates.
  - Match polar equations and graphs (PC-X.5)
- MA.912.T.4.5 Sketch the graph of a curve in the plane represented parametrically, indicating the direction of motion.
- MA.912.T.4.6 Convert from a parametric representation of a plane curve to a rectangular equation, and convert from a rectangular equation to a parametric representation of a plane curve.
- MA.912.T.4.7 Apply parametric equations to model applications involving motion in the plane.

DP Data Analysis and Probability

MA.912.DP.4 Use and interpret independence and probability.
- MA.912.DP.4.9 Given a mathematical or real-world situation, calculate the appropriate permutation or combination.
  - Combinations and permutations (PC-CC.2)
- MA.912.DP.4.10 Compute probabilities of compound events. Solve mathematical and real-world problems using permutations and combinations.
  - Find probabilities using combinations and permutations (PC-CC.3)
MA.912.DP.6 Use probability distributions to solve problems.
- MA.912.DP.6.1 Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space; graph the corresponding probability distribution using the same graphical displays as for data distributions.
  - Write a discrete probability distribution (PC-DD.3)
  - Graph a discrete probability distribution (PC-DD.4)
- MA.912.DP.6.2 Develop a probability distribution for a discrete random variable using theoretical probabilities. Find the expected value and interpret it as the mean of the discrete distribution.
  - Expected values of random variables (PC-DD.5)
- MA.912.DP.6.3 Develop a probability distribution for a discrete random variable using empirically assigned probabilities. Find the expected value and interpret it as the mean of the discrete distribution.
  - Expected values of random variables (PC-DD.5)
- MA.912.DP.6.4 Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values. Evaluate and compare strategies on the basis of the calculated expected values.
- MA.912.DP.6.5 Apply probabilities to make decisions which are equally likely, such as drawing from lots or using a random number generator.
- MA.912.DP.6.6 Analyze decisions that were made and solve problems using probability concepts and strategies.
  - Choose the better bet (PC-DD.10)

LT Logic and Theory

MA.912.LT.1 Apply recursive methods to solve problems.
- MA.912.LT.1.1 Apply recursive and iterative thinking to solve problems.
- MA.912.LT.1.2 Solve problems and find explicit formulas for recurrence relations using finite differences.
  - Find terms of a recursive sequence (PC-AA.2)
  - Find a recursive formula (PC-AA.4)
- MA.912.LT.1.3 Apply mathematical induction in a variety of applications.
MA.912.LT.2 Apply techniques from Graph Theory to solve problems.
- MA.912.LT.2.1 Solve scheduling problems using critical path analysis and Gantt charts. Create a schedule using critical path analysis.
- MA.912.LT.2.2 Apply graph coloring techniques to solve problems.
- MA.912.LT.2.3 Apply spanning trees, rooted trees, binary trees and decision trees to solve problems.
- MA.912.LT.2.4 Create problems that can be solved using spanning trees, rooted trees, binary trees, and decision trees.
- MA.912.LT.2.5 Solve problems concerning optimizing resource usage using bin-packing techniques.
MA.912.LT.3 Apply techniques from Election Theory to solve problems.
- MA.912.LT.3.1 Analyze election data using election theory techniques.
- MA.912.LT.3.2 Decide voting power within a group using weighted voting techniques. Provide real-world examples of weighted voting and its pros and cons.
- MA.912.LT.3.3 Solve problems using fair division techniques.
- MA.912.LT.3.4 Solve strictly determined and non-strictly determined games by using game theory.
MA.912.LT.4 Develop an understanding of the fundamentals of propositional logic, arguments and methods of proof.
- MA.912.LT.4.1 Translate propositional statements into logical arguments using propositional variables and logical connectives.
- MA.912.LT.4.2 Determine truth values of simple and compound statements using truth tables.
  - Truth tables (G-A.7)
  - Truth values (G-A.8)
- MA.912.LT.4.3 Identify and accurately interpret "if...then," "if and only if," "all" and "not" statements. Find the converse, inverse and contrapositive of a statement.
- MA.912.LT.4.4 Represent logic operations, such as AND, OR, NOT, NOR, and XOR, using logical symbolism to solve problems.
- MA.912.LT.4.5 Determine whether two propositions are logically equivalent.
- MA.912.LT.4.6 Apply methods of direct and indirect proof and determine whether a logical argument is valid.
- MA.912.LT.4.7 Identify and give examples of undefined terms; axioms; theorems; proofs, including proofs using mathematical induction; and inductive and deductive reasoning.
- MA.912.LT.4.9 Construct logical arguments using laws of detachment, syllogism, tautology, contradiction and Euler Diagrams.
MA.912.LT.5 Apply properties from Set Theory to solve problems.
- MA.912.LT.5.1 Given two sets, determine whether the two sets are equal, whether one set is a subset of another or if one is the power set of the other.
- MA.912.LT.5.2 Given a relation on two sets, determine whether the relation is a function, determine the inverse of the relation if it exists and identify if the relation is bijective.
- MA.912.LT.5.3 Partition a set into disjoint subsets and determine an equivalence class given the equivalence relation on a set.
- MA.912.LT.5.4 Perform the set operations of union, intersection, difference, complement and cross product.
- MA.912.LT.5.5 Explore relationships and patterns and make arguments about relationships between sets by using Venn Diagrams.
- MA.912.LT.5.6 Prove set relations, including DeMorgan's Laws and equivalence relations.

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NSO Number Sense and Operations

MA.912.NSO.2 Represent and perform operations with expressions within the complex number system.

MA.912.NSO.2.2 Represent addition, subtraction, multiplication and conjugation of complex numbers geometrically on the complex plane.

MA.912.NSO.2.3 Calculate the distance and midpoint between two numbers on the complex coordinate plane.

MA.912.NSO.2.4 Solve mathematical and real-world problems involving complex numbers represented algebraically or on the coordinate plane.

MA.912.NSO.2.5 Represent complex numbers on the complex plane in rectangular and polar forms. Explain why the rectangular and polar forms of a given complex number represent the same number.

MA.912.NSO.2.6 Rewrite complex numbers to trigonometric form. Multiply complex numbers in trigonometric form.

MA.912.NSO.3 Represent and perform operations with vectors.

MA.912.NSO.3.1 Apply appropriate notation and symbols to represent vectors in the plane as directed line segments. Determine the magnitude and direction of a vector in component form.

MA.912.NSO.3.2 Represent vectors in component form, linear form or trigonometric form. Rewrite vectors from one form to another.

MA.912.NSO.3.3 Solve mathematical and real-world problems involving velocity and other quantities that can be represented by vectors.

MA.912.NSO.3.4 Solve mathematical and real-world problems involving vectors in two dimensions using the dot product and vector projections.

MA.912.NSO.3.5 Solve mathematical and real-world problems involving vectors in three dimensions using the dot product and cross product.

MA.912.NSO.3.6 Add and subtract vectors algebraically or graphically.

MA.912.NSO.3.7 Given the magnitude and direction of two or more vectors, determine the magnitude and direction of their sum.

MA.912.NSO.3.8 Multiply a vector by a scalar algebraically or graphically.

MA.912.NSO.3.9 Compute the magnitude and direction of a vector scalar multiple.

MA.912.NSO.4 Represent and perform operations with matrices.

MA.912.NSO.4.1 Given a mathematical or real-world context, represent and manipulate data using matrices.

MA.912.NSO.4.2 Given a mathematical or real-world context, represent and solve a system of two-or three-variable linear equations using matrices.

MA.912.NSO.4.3 Solve mathematical and real-world problems involving addition, subtraction and multiplication of matrices.

MA.912.NSO.4.4 Solve mathematical and real-world problems using the inverse and determinant of matrices.

MA.912.NSO.4.5 Identify and use the additive and multiplicative identities for matrices to solve mathematical and real-world problems.

AR Algebraic Reasoning

MA.912.AR.9 Write and solve a system of two-and three-variable equations and inequalities that describe quantities or relationships.

MA.912.AR.9.7 Solve real-world problems involving linear programming.

MA.912.AR.9.8 Given a mathematical or real-world context, solve a system of three-variable linear equations algebraically.

F Functions

MA.912.F.1 Understand, compare and analyze properties of functions.

MA.912.F.1.4 Demonstrate understanding of the concept of limit and estimate limits from graphs and tables of values, as related to the concept of the derivative of a function.

MA.912.F.1.8 Determine whether a function is even, odd or neither when represented algebraically, graphically or in a table.

FL Financial Literacy

MA.912.FL.1 Determine simple and compound interest and demonstrate its relationship to functions. Calculate and use net present and net future values.

MA.912.FL.1.1 Compare simple, compound and continuously compounded interest over time.

MA.912.FL.1.5 Determine the consumer price index (CPI) for goods. Interpret its value in terms of the context.

MA.912.FL.1.6 Solve problems involving potential profit and actual cost.

MA.912.FL.2 Describe the advantages and disadvantages of short-term and long-term purchases.

MA.912.FL.2.1 Compare the advantages and disadvantages of using cash versus personal financing options or other forms of electronic payment.

MA.912.FL.2.2 Calculate the finance charges and total amount due on a bill using various forms of credit.

MA.912.FL.2.3 Manipulate a variety of variables to compare the advantages and disadvantages of deferred payments.

MA.912.FL.2.4 Calculate the total cost of purchasing consumer durables over time given different monthly payments, down payments, financing options and fees.

MA.912.FL.2.5 Calculate the fees associated with a mortgage.

MA.912.FL.2.6 Substitute values to evaluate a variety of mortgage formulas.

MA.912.FL.2.7 Solve problems involving student, personal and car loans, including finding the total amount to be paid, adjustable rates and refinancing options.

MA.912.FL.2.8 Calculate the final payout amount for a balloon mortgage.

MA.912.FL.2.9 Compare the cost of paying a higher interest rate and fewer mortgage points versus a lower interest rate and more mortgage points.

MA.912.FL.2.10 Calculate the total amount paid for the life of a loan including the down payment, fees and interest.

MA.912.FL.2.11 Calculate and compare, in terms of functions, the total cost for a set purchase price using a fixed rate, adjustable rate and a balloon mortgage.

MA.912.FL.2.12 Compare interest rate calculations and annual percentage rate calculations, and distinguish between the two rates.

MA.912.FL.3 Develop personal financial skills and describe the advantages and disadvantages of financial and investment plans.

MA.912.FL.3.1 Develop personal budgets that fit within various income brackets.

MA.912.FL.3.2 Calculate the break-even point to determine the viability of purchasing options for housing, car and other durable goods.

MA.912.FL.3.3 Explain cash management strategies including checking and savings accounts.

MA.912.FL.3.4 Given assets and liabilities, calculate net worth.

MA.912.FL.3.5 Given a scenario, establish a plan to pay off debt.

MA.912.FL.3.6 Given a scenario, complete and calculate federal income tax, analyzing different options such as standard deductions versus itemized deductions and taxes owed based on income brackets from the tax table.

MA.912.FL.3.7 Calculate and compare various options and fees for medical, car, homeowners and life insurance.

MA.912.FL.3.8 Collect, organize and interpret data to determine an effective retirement savings plan to meet personal financial goals.

MA.912.FL.3.9 Solve problems involving different types of retirement plans, including traditional IRA, Roth,IRA, 401K, 403B and annuities.

MA.912.FL.3.10 Compare different ways that portfolios can be diversified in both investments and investment vehicles.

MA.912.FL.3.11 Purchase stock with a set amount of money, and evaluate its worth over time considering gains, losses and selling, taking into account any associated fees.

MA.912.FL.3.12 Compare income from purchase of common stock, preferred stock and bonds.

MA.912.FL.3.13 Given current exchange rates, convert between currencies.

MA.912.FL.3.14 Apply data to compare historical rates of return on investments with investment claims to make informed decisions and identify potential fraud.

GR Geometric Reasoning

MA.912.GR.2 Apply properties of transformations to describe congruence or similarity.

MA.912.GR.2.6 Justify the criteria for triangle congruence using the definition of congruence in terms of rigid transformations.

MA.912.GR.2.8 Justify the criteria for triangle similarity using the definition of similarity in terms of non-rigid transformations.

MA.912.GR.5 Make formal geometric constructions with a variety of tools and methods.

MA.912.GR.5.3 Construct the inscribed and circumscribed circles of a triangle.

MA.912.GR.5.4 Construct a regular polygon inscribed in a circle. Regular polygons are limited to triangles, quadrilaterals and hexagons.

MA.912.GR.7 Apply geometric and algebraic representations of conic sections.

MA.912.GR.7.1 Identify the conic resulting from the cross-section of cones.

MA.912.GR.7.4 Given a mathematical or real-world context, derive and create the equation of a parabola using key features.

MA.912.GR.7.5 Graph and solve mathematical and real-world problems that are modeled with an equation of a parabola. Determine and interpret key features in terms of the context.

MA.912.GR.7.6 Given a mathematical or real-world context, derive and create the equation of an ellipse using key features.

MA.912.GR.7.7 Graph and solve mathematical and real-world problems that are modeled with an equation of an ellipse. Determine and interpret key features in terms of the context.