George Woodbury is a Professor of Mathematics and Statistics at the College of the Sequoias in Central California.  He has been teaching math and statistics, at all levels, for over two decades. He is the author of algebra, statistics, and math study skills texts published by Pearson. He has been using MyLab™ Math since its inception, and continually comes up with creative ways to integrate his teaching methods with technology. George has been honored as an instructor by both his students and his colleagues. Aside from teaching and writing, George served as the department chair of the math/engineering division from 1999 through 2004. He has been actively working on corequisite implementation at his institution . He is the primary author and creator of the Core Skills section of the workbooks, and the videos and exercises in MyLab Math, for all three of the Module Support courses for College Algebra/Precalculus, Statistics, and Quantitative Reasoning/Liberal Arts Math. He actively blogson georgewoodbury.com about math, statistics, teaching, and study skills.

Perri Gellman is an Associate Professor of Mathematics at Palomar College in Southern California. Along with a team of colleagues, she piloted an activity-based pre-statistics course at Palomar College after participating in the 2012 cohort of the California Acceleration Project (CAP). During subsequent years teaching the course, she authored over 100 supplemental activities and an instructor’s guide. She facilitated a PD workshop on classroom management techniques designed to keep students engaged and accountable in an active learning environment. She is continuing to help her college foster active learning approaches for students as they  begin to implement corequisite courses. She is the primary author of the Critical Thinking and Activities sections of the workbooks for the College Algebra/Precalculus and Statistics Modules.

Rob Eby is a Professor of Mathematics at Blinn College – Bryan Campus in Texas. For the past 15 years, he has taught everything Blinn offers and has been a leader in using innovative pedagogy and assignments, including writing projects, writing memos, playing games, and flipped learning. Blinn College has taken their entire mathematics department into a corequisite model at the prompting of state legislature.  Rob has been helping to design the topic alignment and department standards documents and teaching pilot sections. He is the primary author of the Critical Thinking and Activities sections of the workbook for the Quantitative Reasoning/Liberal Arts Math Modules. He is a member of Cohort 2 with Project ACCESS, AMATYC, and MAA.  He served two consecutive terms on the program review committee for AMATYC, and is currently on the Student Mathematics League test writing committee.  He is also on the MAA Two Year College Relations Committee. When Rob is not sharing the joys of mathematics with his students, he brews his own beer and plays strategy games with his children.

Mari Menard earned bachelor’s and Master of Science degrees in mathematics from Lamar University – Beaumont, in Beaumont, TX.  She is a Professor of Mathematics at Lone Star College – Kingwood, in Kingwood, Texas.  Mari is the Math Lab Faculty Liaison for the Math Learning Support Lab at her campus, affording her the opportunity to work with tutors and students alike enrolled in college math courses.  She is an active member of AMATYC, and is currently the AMATYC Traveling Workshop Coordinator.  Her own experiences in college allowed her to find her love of mathematics and a knack for helping her fellow students.  She believes that students must build and nurture their math skills (what she terms their “math ego”), stay positive, work hard, and success will follow. She works with other math faculty at her college to determine content and implementation strategies for corequisite courses and is currently teaching her second semester of corequisite courses. She believes in learning from all experiences, and enjoys time with her husband and playing golf. Mari is the primary author of the Implementation Guide to support the Corequisite Support Modules.

1.1 Fractions

1. Simplify fractions.  
2. Plot fractions on a number line.
3. Add or subtract like fractions. 
4. Find the least common denominator of a list of fractions.
5. Write equivalent fractions
6. Compare fractions.
7. Add or subtract unlike fractions. 
8. Multiply or divide fractions. 
9. Evaluate exponential expressions with fractional bases.
10. Use the order of operations on fractions. 
11. Solve applications involving fractions. 

1.2 Decimals

1. Identify place values of decimals. 
2. Compare decimals.
3. Add or subtract decimals. 
4. Multiply or divide decimals. 
5. Evaluate exponential expressions with decimal bases.
6. Use the order of operations on decimals. 
7. Round decimals. 
8. Solve problems involving estimation with decimals.
9. Convert decimals to fractions.
10. Convert fractions to decimals.
11. Solve applications involving decimals. 

1.3 Percents

1. Interpret the meaning of percent.
2. Write fractions as percents. 
3. Write percents as fractions in simplest form. 
4. Write decimals as percents. 
5. Write percents as decimals. 
6. Convert among fractions, decimals, and percents. 
7. Perform calculations involving percents. 
8. Compute percent change.
9. Solve applications involving percents. 

1.4 Ratios and Rates

1. Write ratios in different notations, including fractions. 
2. Simplify ratios.
3. Determine unit rates. 
4. Determine the better buy. 

1.5 Proportions 

1. Solve proportions.
2. Solve applications involving proportions. 

1.6 Real Numbers

1. Classify sets of numbers. 
2. Find square roots.
3. Approximate square roots. 
4. Use the properties of real numbers. 
5. Use the order of operations with real numbers (including grouping symbols). 
6. Solve applications involving real numbers. 

Module 2:  Linear Equations and Inequalities; Formulas

2.1 Algebraic Expressions

1. Evaluate algebraic expressions. 
2. Combine like terms.
3. Simplify algebraic expressions. 
4. Translate English phrases into algebraic expressions.

2.2 Linear Equations in One Variable

1. Distinguish between expressions and equations.
2. Solve linear equations in one variable using the addition property of equality.
3. Solve linear equations in one variable using the multiplication property of equality.
4. Solve linear equations in one variable using both properties of equality. 
5. Translate sentences into equations.
6. Solve applications involving linear equations in one variable.

2.3 Linear Inequalities in One Variable

1. Write inequality statements using real numbers and inequality symbols.
2. Graph linear inequalities in one variable on a number line.
3. Write solutions to inequalities in set-builder notation.
4. Write solutions to inequalities in interval notation.
5. Solve linear inequalities in one variable.
6. Translate sentences into linear inequalities in one variable.
7. Solve applications involving linear inequalities in one variable.

2.4 Compound Inequalities

1. Find the union of two sets. 
2. Find the intersection of two sets. 
3. Graph compound inequalities on a number line.
4. Solve compound inequalities and write the solution sets in set-builder and interval notation.

2.5 Formulas

1. Solve a formula for a specific variable. 
2. Find the perimeter of a figure.
3. Find the circumference of a circle.
4. Find the area of a figure.
5. Find the volume of a figure.
6. Solve applications involving distance, rate, and time.

Module 3: Graphing Linear Equations in Two Variables

3.1 The Rectangular Coordinate System

1.     Write ordered pairs.

2.     Plot points in the rectangular coordinate system.

3.     Complete a table of values of ordered pair solutions for a linear equation in two variables.

4.     Graph linear equations in two variables using a table of values.

3.2 Intercepts

1. Find the intercepts of a line.
2. Graph a linear equation in two variables given its intercepts.

3.3   Slope

1. Find the slope of a line given two points on the line.
2. Find the slope of a line given its graph.
3. Graph a line given its equation in slope-intercept form.
4. Graph a line given one point on the line and the slope.
5. Graph vertical lines.
6. Graph horizontal lines.
7. Use slope with parallel and perpendicular lines.
8. Interpret slope as a rate of change.

3.4 Equations of Lines

1. Find the slope of a line given its equation.
2. Write the slope-intercept form of a line. 
3. Write the equation of a line given the slope and a point on the line. 
4. Write the equation of a line through two given points.

Module 4:  Exponents and Scientific Notation

4.1 Exponential Expressions and Rules for Exponents

1. Evaluate exponential expressions with positive exponents.
2. Use the product rule for exponents.
3. Use the power rules for exponents.
4. Use the quotient rule for exponents.
5. Evaluate exponential with integer exponents

       6. Simplify exponential expressions using rules for exponents

4.2 Scientific Notation

1. Convert between scientific and standard notation.
2. Perform calculations involving scientific notation.
3. Solve applications involving scientific notation. 

Module 5:  Absolute Value Equations and Inequalities

5.1 Absolute Value Equations

1. Solve absolute value equations.
   
   

5.2 Absolute Value Inequalities

1. Solve absolute value inequalities.
2. Identify absolute value inequalities that are contradictions or identities.

Module 6: Introduction to Statistics

6.1 Data Displays 

1. Interpret and draw line graphs. 
2. Interpret and draw bar graphs. 
3. Construct frequency distributions and relative frequency distributions for a data set. 
4. Interpret and draw histograms. 
5. Interpret and draw circle graphs. 
6. Interpret and build scatterplots.  
   
   

6.2 Measures of Center 

1. Find the mean of a data set. 
2. Find the weighted mean. 
3. Find the median of a data set. 
4. Find the mode of a data set. 
5. Find the range and midrange of a data set. 

6.3 Linear Regression

1. Graph the best-fit line for a set of data. 
2. Use the equation of a best-fit line to predict values of x. 

Module 7:  Introduction to Probability

7.1 Counting Techniques 

1. Evaluate factorial expressions. 
2. Use counting techniques. 

7.2 Introduction to Probability 

1. Identify sample spaces, outcomes, and events. 
2. Find the probability of an event.
3. Use tree diagrams to find sample spaces and compute probabilities. 

7.3 Permutations and Combinations 

1. Calculate permutations. 
2. Calculate combinations. 
3. Solve applications involving permutations and combinations. 

7.4 Odds

1. Calculate odds in favor of and against an event. 
2. Use odds to determine if a game is fair. 

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