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MATH 30 Applied COURSE OUTLINE Textbook: No Textbook – Handouts Provided Course Work = 50% Diploma Final Exam = 50% 1. Personal Finance 13 classes Compound Interest • • • • • use and apply the Compound Interest Formula relate compound interest to exponential regression (graphing calculator) complete, develop and analyze compound interest charts and tables design and use spreadsheets involving compound interest use the TVM solve for compound interest problems Annuities • • • • complete, develop and analyze annuity charts and tables annuities design and use spreadsheets involving annuities use the TVM Solver for annuity problems applications with annuities Investment Portfolios • complete and analyze investment portfolios through charts and tables • calculate and analyze rates of return Increasing and Decreasing Assets • analyze an increasing asset (eg. house) under different circumstances • analyze a decreasing asset (eg, vehicle, computer) under different circumstances • relate increasing/decreasing assets to exponential regression models 2. Cost and Design 6 classes Perimeter, Area, and Volume • review, use and apply the formulas for perimeter, area, and volume • use dimensions and unit prices to solve problems involving perimeter, area, and volume Cost and Design Problems • solve problems involving estimation and cost for objects, shapes, or processes when a design is given • solve problems involving estimation and cost for objects, shapes, or processes when a diagram is required LTCHS M30A Course Outline Sept2011 Page 1 of 3 3. Probability 11 classes The Fundamental Counting Principle • construct and interpret tree diagrams • use the fundamental counting principe to determine the number of different ways to perform multistep operations Probability • definitions and terminology related to probability • determine the sample space for an event – using tree diagrams and FCP • calculate simple probability • calculate and solve problems involving the probability of mutually exclusive events - P(A or B) • calculate and solve problems involving the probability of independent and dependent events - P(A and B) Pathway Problems 4. Statistics 13 classes Mean and Standard Deviation • definitions and terminology related to measures of central tendency • use technology to calculate the mean and standard deviation from ungrouped and grouped data The Normal Distribution Curve • definition, terminology and properties related to the normal curve • use and apply the z-score formula • use and apply the area under the normal curve chart to solve problems • solve manufacturers’ guarantees problems Binomial Experiments • definition and terminology • calculate the mean and standard deviation of a binomial experiment • solve binomial experiment problems using and applying the normal curve 95% Confidence Intervals • construct, interpret, and analyze a 95% confidence interval 5. Matrices 8 classes Introduction to Matrices • definitions and terminology related to matrices Matrix Operations • use paper-and-pencil calculations to add/subtract small matrices (max 3 3) • scalar multiplication with matrices • use paper-and-pencil calculations to multiply small matrices (max 3 3) • use technology to add, subtract, and multiply matrices • model and solve problems using matrix operations • use transitional matrices to solve problems Network Problems • create a matrix from a network • create a network from a matrix • solve network problems using matrices and technology LTCHS M30A Course Outline Sept2011 Page 2 of 3 6. Vectors 14 classes Angle Relationships Review • complementary and supplementray angles • parallel lines and a transversal • angles of a parallelogram Introduction to Vectors • definitions and terminology related to vectors • geometric modesl of vectors • directional notation for vectors – bearings versus headings • scalar multiplication of vectors Resultant Vectors • add vectors using the triangle method • add vectors using the parallelogram method • model and solve problems in two dimensions involving right and non-right triangles • model and solve problems in three dimensions involving right triangles • solve force problems using vectors 7. Sinusoidal Data and Fractal Patterns 14 classes Sinusoidal Data • definitions and terminology related to the basic sine curve • recognize and use degrees or radians for angle measures • understand the characteristics of the sine curve – amplitude, vertical translation, period, phase shift, range, maximum, minimum • understand, interpret, and analyze the sine curve • graph the sine curve with and without technology • use the sine curve to rpresent and solve related problems • develop and apply sine regression modesl which represent periodic data with and without technology • use sine regression equations to make predicitons through interopolation and extrapolation Fractal Patterns • definitions and terminology related to fractal patterns • construct, interpret, and analhze fractal patterns by applying a pattern to a geometric figure • compare and/or predict the perimeters, areas, and volumes of fractals using patterning LTCHS M30A Course Outline Sept2011 Page 3 of 3