Download Math 30A Course Outline

MATH 30 Applied
COURSE OUTLINE
Textbook: No Textbook – Handouts Provided
Course Work = 50%
Diploma Final Exam = 50%
1. Personal
Finance
13 classes
Compound Interest
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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
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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
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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
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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
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