Corequisite Support Modules for College Algebra or Precalculus -- Access Card Plus Workbook Package

by Corequisite Support Faculty Team

• ISBN13: 9780135860182
• ISBN10: 0135860180
• Edition: 1st
• Format: Package
• Copyright: 2019-05-18
• Publisher: Pearson

Summary

For corequisite support courses that accompany  College Algebra or Precalculus. 

This MyLab Math access card offers 18-week access.

 

Flexible content, tailor-made for corequisite support courses

Corequisite Support Modules for College Algebra or Precalculus  provide targeted developmental review, and can be used in conjunction with any credit-level materials. The Modules include a corequisite support workbook and a corresponding MyLab™ course. The Corequisite Support Faculty Team who created these Modules comprises four instructors with experience in creating content for developmental-level courses, and who have been challenged with implementing corequisite courses at their own institutions. 

 

Instructors can use the Corequisite Support Workbook, the corresponding modular course in MyLab Math, or both. The Modules are an affordable option, ideal for instructors who want to pick and choose review material easily, without requiring students to purchase two full texts or courses.

0135775671 / 9780135775677  MYLAB MATH -- 18 WEEK STANDALONE ACCESS CARD -- FOR COREQUISITE SUPPORT MODULES FOR COLLEGE ALGEBRA OR PRECALCULUS, 1/e 

Author Biography

The Corequisite Support Faculty Team comprises faculty who, like so many instructors around the country, were tasked with creating and implementing corequisites at their own institutions. Recognizing the need for corequisite support material that is easy to pick up and use in conjunction with a credit-level course, these instructors leveraged their own experiences with developmental students to create corequisite content accessible to a developmental-level student. Led by George Woodbury, who has authored textbooks for developmental math and statistics course areas, the Faculty Team utilizes their own experiences with corequisites and with active learning strategies to provide their best recommendations of corequisite support topics and resources that can work for any classroom. 

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 blogs on 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.

Table of Contents

Module 1:  Solving Linear Equations and Inequalities; Formulas

1.1 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

1.2 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.

1.3 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.

1.4 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 2: Graphing Linear Equations and Inequalities in Two Variables

2.1 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

2.2 Intercepts

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

2.3 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.

2.4 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.

2.5 Graphs of Linear Inequalities in Two Variables

1. Graph linear inequalities in two variables.  

Module 3:  Exponents and Polynomials

3.1 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 expressions with integer exponents.
6. Simplify exponential expressions using the rules for exponents. 

3.2 Polynomial Expressions

1. Identify parts of a polynomial (coefficient, term, degree, factor, constant).
2. Classify polynomials.
3. Evaluate polynomial expressions.  
4. Add polynomials.  
5. Subtract polynomials.
6. Multiply monomials.
7. Multiply a monomial and a polynomial.
8. Multiply polynomials.
9. Multiply the sum and difference of two terms.
10. Square binomials.

3.3 Factoring

1. Factor out the GCF of a polynomial.  
2. Factor trinomials with a leading coefficient of 1.
3. Factor trinomials with a leading coefficient other than 1.
4. Factor polynomials by grouping.
5. Factor a difference of squares.
6. Factor the sum or difference of two cubes.
7. Factor polynomials completely.

3.4 Division of Polynomials 

1. Divide a polynomial by a nominal
2. Divide polynomials using long division

Module 4:  Systems of Equations

4.1 Systems of Linear Equations in Two Variables

1. Determine if an ordered pair is a solution to a system of linear equations in two variables.
2. Solve a system of linear equations in two variables by graphing.
3. Solve a system of linear equations in two variables by substitution.
4. Solve a system of linear equations in two variables by addition.
5. Solve applications involving systems of linear equations in two variables.

4.2 Systems of Linear Equations in Three Variables

1. Determine whether an ordered triple is a solution to a system of linear equations in three variables.
2. Solve a system of linear equations in three variables.

Module 5:  Rational Expressions and Equations

5.1 Rational Expressions   

1. Evaluate rational expressions.
2. Identify values that make a rational expression undefined.
3. Simplify rational expressions.
4. Multiply or divide rational expressions.
5. Add or subtract rational expressions.

5.2 Complex Fractions

1. Simplify complex fractions without variables.
2. Simplify complex fractions with variables.

5.3 Rational Equations

1. Solve rational equations.
2. Solve applications that involve rational equations (motion, mixture, proportion, geometric)
3. Solve problems that involve variation.

Module 6:  Radical Expressions and Equations

6.1 Roots 

1. Find square roots.  
2. Approximate square roots.  
3. Find cube roots.
4. Find nth roots.

6.2 Radical Expressions

1. Simplify radical expressions.
2. Multiply or divide radicals.
3. Add or subtract radicals.
4. Multiply radical expressions.
5. Rationalize denominators with one term.
6. Rationalize denominators with two terms.

6.3 Rational Exponents

1. Write expressions containing rational exponents in radical form.
2. Simplify expressions containing rational exponents.
3. Use rational exponents to simplify radical expressions.

6.4 Radical Equations

1. Solve radical equations.
2. Solve radical equations that contain rational exponents.
3. Use the distance formula to find the distance between two points in a coordinate plane.
4. Solve applications that involve radical equations.

Module 7:  Quadratic Equations

7.1 Quadratic Equations

1. Solve quadratic equations by factoring.
2. Solve quadratic equations by the square root property.
3. Solve quadratic equations by completing the square.  
4. Solve quadratic equations by using the quadratic formula
5. Use the discriminant to describe the solutions of a quadratic equation.  
6. Solve applications that involve quadratic equations and models (including the Pythagorean theorem). 

7.2 Graphs of Quadratic Equations 

1. Graph quadratic equations.
2. Find the vertex of a parabola.
3. Graph horizontal parabolas.

Module 8:  Absolute Value Equations and Inequalities

8.1 Absolute Value Equations

1. Solve absolute value equations.

8.2 Absolute Value Inequalities

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

Module 9:  Introduction to Functions

9.1 Relations and Functions

1. Identify relations and functions.  
2. Evaluate functions using function notation.  
3. Find the domain and range of a function.
4. Use the vertical line test to determine if a graph is a function.

9.2 Linear Functions

1. Identify linear functions.  
2. Evaluate linear functions.  
3. Interpret the graph of a linear function (domain, range, slope, intercepts).
4. Solve applications that involve linear functions as models.