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Skills available for Florida high school math standards

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NSO Number Sense and Operations

AR Algebraic Reasoning

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

T Trigonometry

DP Data Analysis and Probability

LT Logic and Theory

  • MA.912.LT.1 Apply recursive methods to solve problems.

  • 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.

    • 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.