During this course, students will:
1. Evaluate, apply, and simplify algebraic expressions.
2. Use linear expressions, equations, and inequalities in application problems.
3. Produce data through random sampling and analyze the data collected.
4. Analyze real data sets by finding measures of central tendency, position, and spread, and by
constructing various charts and graphs.
5. Use data to calculate and analyze the slope, y-intercept, and equation of a line in two variables
and construct a graph of the linear equation and regression line.
6. Apply linear and exponential functions for regression analysis to solve application problems.
7. Solve and analyze basic probability problems using ratios, proportions, two-way tables and
8. Consistently apply effective learning strategies for success in college.
I. Arithmetic Operations, Formulas and Algebraic Expressions
A. Arithmetic of signed numbers and interpretation of inequalities
B. Operations with fractions, proportions, ratios and percent
C. Measurement and unit conversion
D. Exponents, square roots, scientific notation
E. Order of operations and simplifying algebraic expressions
F. Evaluating formulas
II. Exploratory Data Analysis
A. Quantitative versus categorical data
B. Collecting data
C. Frequency and relative frequency tables
D. Constructing and reading bar charts, dot plots, and histograms
E. Measures of center: mean and median
F. Measures of spread: range and standard deviation
G. Quartiles and box plots
III. Linear Equations and Inequalities
A. Solving general linear equations with application problems
B. Solving formulas with application problems
C. The rectangular coordinate system and plotting ordered pairs
D. Graphs of linear equations
E. Find and interpret slope, rate of change and y-intercept
F. Writing, solving and graphing one-variable linear inequalities
A. Function notation, models and applications
B. Graphing various functions, models and applications
C. Constructing and analyzing scatterplots
D. Regression line, prediction and interpretation
V. Exponential Functions
A. Integer and rational exponents
B. Exponential functions and their graphs
C. Exponential growth and decay
D. Exponential regression, prediction and interpretation
E. Introduction to logarithms
A. Introduction to probability, notation and rules
B. Conditional probability
C. Probability and proportions calculated from two-way tables
VII. Technology - Use of Technology (Calculator or Computer Software) to Evaluate Formulas,
Calculate Probabilities, Analyze Data, and Find Statistics
VIII. Topics Related To Developing Effective Learning Skills
A. Study skills: organization and time management, test preparation and test-taking skills
B. Self-assessment: using performance criteria to judge and improve one's own work,
analyzing and correcting errors on one's test
C. Use of resources: strategies identifying, utilizing, and evaluating the effectiveness of
resources in improving one's own learning, e.g., peer study groups, computer
resources, lab resources, tutoring resources
Pre-Statistics ALEKS (software)
Pre-Statistics. Davis, Donald and Armstrong, William and McCraith, Mike. Cengage. 2019
A Pathway to Introductory Statistics. Lehmann, Jay. Pearson. 2016