Learning Tools
Curriculum
All math topics
11th grade
- Represents real-life situations using rational functions
- Distinguishes rational function, rational equation, and rational inequality.
- Solves rational equations and inequalities.
- Represents a rational function through its: (a) table of values, (b) graph, and (c) equation.
- Finds the domain and range of a rational function
- Determines the: (a) intercepts (b) zeroes; and (c) asymptotes of rational functions
- Graphs rational functions.
- Solves problems involving rational functions, equations, and inequalities
- Represents real-life situations using logarithmic functions.
- Distinguishes logarithmic function, logarithmic equation, and logarithmic inequality
- Illustrates the laws of logarithms.
- Solves logarithmic equations and inequalities
- Represents a logarithmic function through its: (a) table of values, (b) graph, and (c) equation.
- Finds the domain and range of a logarithmic function.
- Determines the intercepts, zeroes, and asymptotes of logarithmic functions
- Graphs logarithmic functions
- Solves problems involving logarithmic functions, equations, and inequalities.
- Illustrates simple and compound interests.
- Distinguishes between simple and compound interests
- Computes interest, maturity value, future value, and present value in simple interest and compound interest environment.
- Solves problems involving simple and compound interests.
- Illustrates simple and general annuities.
- Distinguishes between simple and general annuities.
- Finds the future value and present value of both simple annuities and general annuities
- Calculates the fair market value of a cash flow stream that includes an annuity.
- Calculates the present value and period of deferral of a deferred annuity.
- Illustrate stocks and bonds
- Distinguishes between stocks and bonds.
- Describes the different markets for stocks and bonds.
- Analyzes the different market indices for stocks and bonds
- Interprets the theory of efficient markets.
- Illustrates business and consumer loans.
- Distinguishes between business and consumer loans.
- Solves problems involving business and consumer loans (amortization, mortgage).
- Illustrates a proposition.
- Symbolizes propositions.
- Distinguishes between simple and compound propositions.
- Performs the different types of operations on propositions.
- Determines the truth values of propositions.
- Illustrates the different forms of conditional propositions.
- Illustrates different types of tautologies and fallacies
- Determines the validity of categorical syllogisms.
- Establishes the validity and falsity of real-life arguments using logical propositions, syllogisms, and fallacies.
- Illustrates the different methods of proof (direct and indirect) and disproof (indirect and by counterexample).
- Justifies mathematical and real-life statements using the different methods of proof and disproof.