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| SECTION | TOPIC | LEARNING OUTCOMES/ PERFORMANCE OBJECTIVES | |||
| PROLOGUE | Introduction | S. should be able to determine and explain the importance of quantitative literacy; be able to discuss several misconceptions about learning mathematics. | |||
| Unit 1-A | Logical Thinking | S. should be able to define "fallacy"; be able to give an example of the different fallacies in this section. | |||
| 1-B - 1-D | Logical Thinking | S. should know the basic components of logic including propositions and truth values of compound statements. S. should know how propositions can be expressed by sets. S. should know how to construct and interpret Venn diagrams. S. should know the difference between deductive and inductive arguments. S. should be able to determine if deductive arguments are valid. | |||
| 2-A, 2-B | Problem Solving through Unit Analysis | S. should be able to use appropriate units to assist them in problem solving. | |||
| 2-C | Problem Solving Strategies | S. should be able to apply the four-step procedure for solving problems, and recognize when the procedure can not be used. | |||
| 3-A | Percentages and Ratios | S. should be able to convert from a ratio to a fraction to a percentage; be able to compute ratios. | |||
| 3-B - 3-D | Scientific Notation Uncertainty | S. should be able to work problems using scientific notation and order of magnitude; to define accuracy and precision; to determine the number of significant digits for measurements; to determine order of magnitude. | |||
| 4-A, 4-B | Compound Interest | S. should be able to compute compound interest; solve problems with annuities. | |||
| 4-C | Loan Payments | S. should be able to compute loan payments. | |||
| 5-A, 5-B, 5-C | Statistical Reasoning | S. should know the basic steps in a statistical study and the terminology used; be able to construct and interpret the graphs in these sections. | |||
| 5-E | Statistical Reasoning | S. should know the three possible explanations for correlation | |||
| 6-A, 6-B | Statistics | S. should be able to calculate the mean, median, mode, and standard deviation for a set of data; be able to explain linear and non-linear regression | |||
| 6-C, 6-D | Statistical Inference | S. should be able to use the properties of the normal distribution; be able to decide if it is an appropriate model of data; be able to explain how standard deviation and margin of error relate to statistical surveys. | |||
| 7-A, 7-B | Probability Theory | S. should be able to distinguish the different types of probability. S. should be able to make a probability distribution. S. should be able to compute probabilities for independent events, dependent events, mutually exclusive events, non-mutually exclusive events using a priori technique. | |||
| 7-C | Expected Values | S. should be able to compute the expected value of an experiment; to define vital statistics. | |||
| 7-E | Counting Techniques | S. should be able to calculate the number of different arrangements, compute simple permutations, and simple combinations and know when to apply each idea. | |||
| 8-A, 8-B | Linear and Exponential Growth | S. should be able to distinguish between linear and exponential growth. S. should be able to solve and interpret doubling time and half-time problems. | |||
| 8-D | Logarithmic Scales | S. should be able to solve simple logarithmic equations and give examples of natural phenomena whose models are logarithms. | |||
| 9-A, 9-B | Function Linear Equations | S. should be able to define a function; to solve literal linear equations; to make a linear model from two or more data points. | |||
| 9-C | Applications of Exponential Models | S. should be able to use logarithms in solving problems. S. should be able to use exponential growth and decay models to predict a quantity after any time t, to find it in the model, or the original quantity. | |||