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MATH 1

Competencies
  • General


    General
    • Course Registration Questionnaire
    • Announcements Forum
    • Pre-Test Quiz
  • How to create an account and enroll in the course?

     

     

    • Homepage

         

      Welcome to Math 1, the first course in the Mathematics series for the Pre-Health Sciences Training Certificate. This course and the Certificate are designed primarily for learners interested in preparing for and gaining entry for health-related programs, and to help address the prerequisites for the Medical College Admission Test (MCAT). This Math 1 course provides in-depth learning related to general mathematical concepts and techniques used in the bachelor’s-level study of natural, physical, behavioral, and social sciences. Participants will have the opportunity to review and gain mathematical knowledge on how to analyze and manipulate scientific data. The course will go on to explore important areas of mathematics such as Arithmetic, Algebra, Geometry, Trigonometry, and Vector Algebra that can be applied in the fields of scientific inquiry.

      The Math 1 course is sponsored in part by the International Development Research Center and by the University of the Incarnate Word School of Osteopathic Medicine. Like all NextGenU.org courses, it is competency-based, using competencies based on the Association of American Medical Colleges’ Medical College Admission Test. It uses learning resources from accredited, academic, professional, and world-class organizations and universities such as Rice University. Volunteer designers for this course include Shaunik Sharma BSc, Tristan Aaron Wild, BMSc (Hons); and the late Mohammad Asadi-Lari a former MD-PHD Candidate at the University of Toronto. The course was created by Marco Aurelio Hernandez, Ph.D.; Ma.Genikka Camille Gabral, BEd, MSc; Margaret Niles, Ph.D.; and reviewed by Prof. Sally Keely, MS, COI.

      For publications on NextGenU.org’s courses’ efficacy, see NextGenU.org’s publication page.


                                                                                        


      The completion time for this course is estimated at 132 hours, comprising 35 hours of learning resources, 69 hours of studying and assimilation of the content, and 28 hours of participating in learning activities and quizzes to assist the learners in synthesizing learning materials. This course is equivalent to 3 credit hours in the U.S. undergraduate/bachelor’s degree system.

      The course requires the completion of all quizzes, discussion forums, and practical activities to receive a course certificate. Practice quizzes are available throughout the course, composed of multiple-choice questions. After you’ve completed each module, quiz, and learning activity, at the end of the course, you’ll have access to a final exam consisting of 25 multiple-choice questions, a final lab activity, and a chance to evaluate this course. Participants have up to three opportunities to take the final exam and achieve the required passing score of >=70%. Once you’ve passed the final exam and completed the evaluations, you will be able to download a certificate of completion from NextGenU.org and our course’s co-sponsoring organizations. 

      We keep all of your personal information confidential, never sell any of your information, and only use anonymized data for research purposes. Also, we are happy to report your testing information and share your work with anyone (your school, employer, etc.) at your request. 

      Engaging with this Course:

      This free course is aimed at students who have graduated from high school and want to prepare to become a health professional, and/or pass the MCAT exam. You may also browse this course for free to learn for your personal enrichment; there are no requirements.   

      To obtain a certificate, a learner must first register for the course and then successfully complete:

      • Pre-test
      • All the reading requirements,
      • All quizzes and pass with 70% with unlimited attempts,
      • All practical activities,
      • All discussion forums,
      • The final lab activity,
      • The final exam with a minimum of 70% and a maximum of 3 attempts, and
      • The self and course evaluation forms.

      To obtain credit:

      • Complete all requirements listed above for the certificate, and
      • Your learning institution or workplace should approve the partner-university-sponsored NextGenU.org course for educational credit, as they usually would for their learner taking a course anywhere.  

      NextGenU.org is happy to provide your institution with:

      • A link to and description of the course training, so they can see all of its components, including the co-sponsoring institutions;
      • Your grade on the final exam;
      • Your work products (e.g., discussion forum responses) and any other required or optional shared materials that you produce and authorize to share with them;  
      • Your evaluations -- course, and self-assessments;
      • A copy of your certificate of completion, with the co-sponsoring organizations listed.

      To obtain a degree, NextGenU.org co-sponsors degree programs with institutional partners. To obtain a full degree co-sponsored with NextGenU.org, registrants must be enrolled in a degree program as a student of a NextGenU.org institutional partner. If you think your institution might be interested in offering a degree with NextGenU.org, contact us.

      We hope you will find this a rewarding learning experience, and we count on your assessment and feedback to help us improve this training for future students.

      Here are the next steps to take the course and earn a certificate:

      • Complete the registration form.
      • Take the pre-test.
      • Begin the course with Module 1: Real Numbers. In each lesson, read the description, complete all required readings and any required activity, as well as take the corresponding quizzes.

      • Module 1: Real Numbers

        Competencies covered in this module:

        • Basic Arithmetic; Prerequisite for Basic Algebra - Real Numbers, Fractions, Significant Digits.
        • Conversion- Convert Metric to Metric, Metric to English, and perform dimensional analysis.
        • Basic Arithmetic - Proportions, Ratios, Percentages.
        • Exponents.
        • Module 1: Lesson 1: The Real Numbers

          Student Learning Outcomes:
          Upon completion of this lesson, you will be able to:
          • Describe the systems used to classify numbers.
          • Explain, identify and work with mathematical expressions involving rational numbers.
          • Explain and identify irrational numbers.
          • Demonstrate the order of real numbers using the number line, the opposite of a real number, and the absolute value of a real number.
          • Perform calculations using the order of operations.
          • Define and use the properties of real numbers.
          • Multiply and divide fractions.
          • Add and subtract fractions.
          • Perform all operations on fractions.
          • Write fractions as decimals and decimals as fractions.
          • Define and do operations with significant digits considerations.
          • Demonstrate how decimals and fractions are used in real life.
          Approximate time required for the readings for this lesson (at 144 words/minute): 7 hours and 30 minutes.

          Click here to start this lesson

          10 URLs, 1 Forum
          • Required Learning Resources and Activities
          • Intermediate Algebra URL

            Read the entire page - Section 1.1: Number Systems. (20 minutes)

            LibreTexts, University of California, Davis - 2021

          • Section 1.1 Beginning Algebra URL

            Read the entire page - Section 1.1: Real Numbers and the Number Line. (16 minutes)

            LibreTexts, University of California, Davis - 2021

          • Section 1.7 Beginning Algebra URL

            Read the entire page - Section 1.7: Order of Operations. (7 minutes)

            LibreTexts, University of California, Davis - 2021

          • College Algebra and Trigonometry URL

            Read Section: Using the Properties of Real Numbers - Pages 19-23. (15 minutes)

            OpenStax, Rice University - 2015

          • Multiplying and Dividing Fractions URL

            Read the entire web page. (14 minutes)

            CK12 - 2014

          • Adding and Subtracting Fractions URL

            Read the entire web page. (20 minutes)

            CK12 - 2014

          • Decimals and Fractions URL

            Read the entire page. (18 minutes)

            Monterey Institute - 2021

          • Significant Digits URL

            Read the entire page. (10 minutes)

            George Brown College, CA - 2020

          • The Importance of Decimals URL

            Read the entire page. (10 minutes)

            Extranet, University of Melbourne, Australia

          • Discussion Forum 1: Proving the Origin of an Equation (60 minutes)

            In this activity, you will study a case problem excerpt from Health Statistics and prove the origin of the equation without using actual mathematics

            Step 1. Review

            Review the learning resources for this lesson before studying the case problem.

            Step 2. Analyze

            Analyze the case problem below.

            458

            Step 3. Respond

            Respond to the case problem by writing a 300-500 word discussion post with the following inclusions:

            • Mathematical concepts and principles that can justify the equation.
            • Explain how each variable responds to increases/decreases of the other variables.

            Step 4. Share

            To share your work, click on the “Reply” button under this post and paste your work in the “Message” box. Make sure to reference others’ intellectual property when necessary. All references should follow 7th Edition APA formatting. For further instructions, see the resource on the Himmelfarb Health Sciences Library: APA citation resource (N.B. references are excluded from word counts).

            Step 5: Interact

            To complete the activity, you will need to reply to at least two posts made by your peers in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “post to forum.”


          • Additional Resources for Optional Learning
          • Significant Figures URL

            Watch the four videos in the series, followed by the Practice Video. (45 minutes)

        • Module 1: Lesson 2: The Rudiments of Measurement

          Student Learning Outcomes:
          Upon completion of this lesson, you will be able to:
          • Convert from one unit of length, weight, volume, time, and speed to another in the American (SI) System.
          • Convert from one unit of length, weight, volume, and speed to another in the Metric System.
          • Convert measures from American System to Metric System and vice versa.
          • Use units to balance equations.
          • Estimate length, distance, and other quantities.
          Approximate time required for the readings for this lesson (at 144 words/minute): 4 hours and 6 minutes.

          Click here to start this lesson

          5 URLs
          • Required Learning Resources and Activities
          • Section 6.3 Prealgebra URL

            Read Section 6.3: Unit Conversion - The American System, Pages 467-472. (25 minutes)

            College of the Redwoods - 2013

          • Section 6.4 Prealgebra URL

            Read Section 6.4: Unit Conversion - The Metric System - Pages 479-484. (25 minutes)

            College of the Redwoods - 2013

          • Section 6.5 Prealgebra URL

            Read Section 6.5: Converting American Units to Metric Units and Vice Versa -Pages 490-494. (15 minutes)

            College of the Redwoods - 2013

          • Dimensional Analysis URL

            Read the entire page and watch included video. (12 minutes)

            CK-12 - 2021

          • Estimating Length - Metric Units URL

            Read the entire section. (20 minutes)

            NYS Common Core Math Curriculum - 2014

          • Quiz: Module 1: Lessons 1 - 2
            Restricted Not available unless:
            • The activity Course Registration is marked complete
            • The activity Pre-Test is marked complete

            To access the quiz, click on the name of the quiz provided above. On the following screen, click the "Preview quiz now" button to respond to the questions.

        • Module 1: Lesson 3: Ratio, Proportion, and Percentages

          Student Learning Outcomes:
          Upon completion of this lesson, you will be able to:
          • Solving ratio and rates problems.
          • Examine the use of proportions in solving real-life problems.
          • Calculate percentages of given values.
          • Calculate a reverse percentage problem.
          • Convert between percent, decimals, and fractions.
          • Calculate percent increase or decrease.
          Approximate time required for the readings for this lesson (at 144 words/minute): 4 hours and 15 minutes.

          Click here to start this lesson

          5 URLs
          • Required Learning Resources and Activities
          • Section 6.1 Prealgebra URL

            Read Section 6.1: Ratio and Rates - Pages 447-453. (20 minutes)

            College of the Redwoods - 2013

          • Section 6.2 Prealgebra URL

            Read Section 6.2: Proportion - Pages 456-461. (20 minutes)

            College of the Redwoods - 2013

          • Section 7.1 Prealgebra URL

            Read Section 7.1: Percents, Decimals, Fractions - Pages 502-506. (25 minutes)

            College of the Redwoods - 2013

          • Section 7.4 Prealgebra URL

            Read Section 7.4: Percent Increase and Decrease 529-537. (20 minutes)

            College of the Redwoods - 2013

          • Additional Resources for Optional Learning
          • College Algebra and Trigonometry URL

            Read pages 570 - 583. (15 minutes)

            OpenStax, Rice University- 2015

        • Module 1: Lesson 4: Introduction to Exponents

          Student Learning Outcomes:
          Upon completion of this lesson, you will be able to:
          • Examine the use of powers in mathematical expressions - evaluate powers.
          • Use scientific notation to express very large or very small numbers.
          • Simplify square roots.
          • Rationalize the denominators of square root expressions.
          • Estimate square roots.
          Approximate time required for the readings for this lesson (at 144 words/minute): 2 hours and 45 minutes.

          Click here to start this lesson

          4 URLs
          • Required Learning Resources and Activities
          • CK-12-Whole number Exponents URL

            Read the entire web page. (10 minutes)

            CK12 - 2017

          • Section 1.2 College Algebra and Trigonometry URL

            Read Section: Scientific Notation - Pages 46-51. (15 minutes)

            OpenStax, Rice University - 2015

          • Section 1.3 College Algebra and Trigonometry URL

            Read Radicals and Rational Expressions: Evaluating and Simplifying Square Roots - Sections 1.3.1 to 1.3.4 - Pages 54 to 61. (20 minutes)

            OpenStax, Rice University - 2015

          • Section 5.7 Prealgebra URL

            Read Section: Estimating Square Roots - Pages 430-433. (10 minutes)

            College of the Redwoods - 2013

        • Module 1: Lesson 5: Working with Exponents

          Student Learning Outcomes:
          Upon completion of this lesson, you will be able to:
          • Identify the components of an expression with integer exponents.
          • Perform the order of operations with exponents.
          • Simplify an expression with exponents using the product and quotient rules.
          • Simplify expressions using the negative and zero exponent rules.
          • Simplify expressions using all the rules for exponents.
          Approximate time required for the readings for this lesson (at 144 words/minute): 4 hours and 19 minutes.

          Click here to start this lesson
          3 URLs, 2 Quizzes
          • Required Learning Resources and Activities
          • 4.2: Terms and Expressions With Exponents URL

            Read the entire section. (12 minutes)

            Libretexts, University of California, Davis - 2020

          • 2.5: Exponents URL

            Read the entire page. (20 minutes)

            Libretexts, University of California, Davis - 2021

          • 4.3: Rules for Exponents URL

            Read the entire page. (35 minutes)

            Libretexts, University of California, Davis - 2020

          • Quiz: Module 1: Lessons 3 - 5

            To access the quiz, click on the name of the quiz provided above. On the following screen, click the "Preview quiz now" button to respond to the questions.

          • Quiz: Module 1

            To access the quiz, click on the name of the quiz provided above. On the following screen, click the "Preview quiz now" button to respond to the questions.

        • Module 2: The Fundamentals of Algebra

          Competency covered in this module: 
          • Basic Algebra.
          • Graphing - Calculate Slopes from Data Found in Figures, Graphs, and Tables.
          • Module 2: Lesson 1: Algebra Expressions and Equations

            Student Learning Outcomes:
            Upon completion of this lesson, you will be able to:
            • Use variables and operators, and translate words into algebraic expressions.
            • Evaluate algebraic expressions.
            • Simplify algebraic expressions using the associative, commutative, and distributive properties of multiplication.
            • Simplify expressions using "grouping" of like terms.
            • Solve equations from algebraic expressions or words involving integers.
            • Solve equations with fraction or decimal coefficients.
            • Solve absolute value equations.
            • Represent intervals on the number line.
            • Solve linear inequalities.
            • Solve linear absolute value inequalities.
            Approximate time required for the readings for this lesson (at 144 words/minute): 6 hours and 33 minutes.

            Click here to start this lesson
            10 URLs
            • Required Learning Resources and Activities
            • Section 3.1 Prealgebra URL

              Read Section 3.1: Mathematical Expressions, Pages 172-177. (15 minutes)

              College of the Redwoods - 2013

            • Section 3.2 Prealgebra URL

              Read Section 3.2: Evaluating Algebraic Expressions, Pages 179-182. (10 minutes)

              College of the Redwoods - 2013

            • Section 3.3 Prealgebra URL

              Read Section 3.3: Simiplifying Algebraic Expressions, Pages 187-194. (13 minutes)

              College of the Redwoods - 2013

            • Section 3.4 Prealgebra URL

              Read Section 3.4: Combining Like Terms, Pages 197-204. (15 minutes)

              College of the Redwoods - 2013

            • Section 3.5 Prealgebra URL

              Read pages 208-212. (12 minutes)

              College of the Redwoods - 2013

            • Section 4.8 Prealgebra URL

              Read Section 4.8: Solving Equations with Fractions - Pages 326-330. (20 minutes)

              College of the Redwoods - 2013

            • College Algebra URL

              Read the 'Solve Absolute Value Equations' section up to the end of 'Try It #7'. (7 minutes)

              OpenStax College, Rice University - 2015

            • Section 2.7 Algebra and Trigonometry URL

              Read Section 2.7.1: Using Interval Notation - Pages 204-206. (12 minutes)

              OpenStax College, Rice University - 2015

            • Section 2.7 Algebra and Trigonometry URL

              Read Section 2.7.3: Solving Inequalities with One Variable - Pages 208-210. (12 minutes)

              OpenStax College, Rice University - 2015

            • Section 2.7 Algebra and Trigonometry URL

              Read Section 2.7.4: Solving Absolute Value Inequalities -Pages 210-213. (15 minutes)

              OpenStax College, Rice University - 2015

          • Module 2: Lesson 2: Operations on Polynomials

            Student Learning Outcomes:
            Upon completion of this lesson, you will be able to:
            • Identify the degree and the leading coefficient of a polynomial.
            • Add and subtract polynomials.
            • Multiply polynomials.
            • Perform operations on polynomials with several variables.
            • Divide a polynomial by a monomial.
            • Divide a polynomial by a binomial using long division or synthetic division.
            • Apply operations on polynomials to real-life situations.
            Approximate time required for the readings for this lesson (at 144 words/minute): 6 hours and 59 minutes.

            Click here to start this lesson
            5 URLs, 1 Quiz
            • Required Learning Resources and Activities
            • Section 1.4 Algebra and Trigonometry URL

              Read Section 1.4.1: Identify the degree and leading coefficient of polynomials - Pages 67-69. (7 minutes)

              OpenStax College, Rice University - 2015

            • Intermediate Algebra 2e URL

              Read the entire page. (35 minutes)

              OpenStax College, Rice University - 2020

            • Section 1.4 Algebra and Trigonometry URL

              Read Section 1.4.3: Multiply Polynomials - Pages 71-74. (30 minutes)

              OpenStax College, Rice University - 2015

            • Section 1.5 Algebra and Trigonometry URL

              Read Sections 1.4.5: Performing Operations on Polynomials of Several Variables - Pages 74-75. (10 minutes)

              OpenStax College, Rice University - 2015

            • Intermediate Algebra 2e URL

              Read the entire page except for "Remainder" and "Factor Theorem." (45 minutes)

              OpenStax College, Rice University - 2015

            • Quiz: Module 2: Lessons 1 - 2

              To access the quiz, click on the name of the quiz provided above. On the following screen, click the "Preview quiz now" button to respond to the questions.

          • Module 2: Lesson 3: Factoring Polynomials

            Student Learning Outcomes:
            Upon completion of this lesson, you will be able to:
            • Factor a polynomial using the greatest common factor.
            • Factor a polynomial by grouping.
            • Factor perfect square trinomials.
            • Factor using the difference of squares.
            • Apply polynomial factoring to real-life situations.
            Approximate time required for the readings for this lesson (at 144 words/minute): 3 hours and 30 minutes.

            Click here to start this lesson
            4 URLs
            • Required Learning Resources and Activities
            • College Algebra and Trigonometry URL

              Read Section 1.5: Factoring Polynomials - Pages 78-86. (70 minutes)

              OpenStax College, Rice University - 2015

            • Additional Resources for Optional Learning
            • Section 6.1 Intermediate Algebra 2e URL

              Read the entire page. (30 minutes)

            • Section 6.2 Intermediate Algebra 2e URL

              Read the entire page. (35 minutes)

            • Section 6.3 Intermediate Algebra 2e URL

              Read the entire page. (20 minutes)

          • Module 2: Lesson 4: Graphing Linear Equations

            Student Learning Outcomes:
            Upon completion of this lesson, you will be able to:
            • Graph equations on the rectangular coordinate system.
            • Find the distance between two points.
            • Find the mid-point of a line from its equation.
            • Explain what the slope of a line is, and be able to find the slope of a given line.
            • Explain the connection between slope and rate of change, and find rates of change in application problems.
            • Graph a linear equation.
            Approximate time required for the readings for this lesson (at 144 words/minute): 7 hours and 40 minutes.

            Click here to start this lesson
            7 URLs, 1 Forum, 2 Quizzes
            • Required Learning Resources and Activities
            • Section 2.1 Algebra and Trigonometry URL

              Read Section 2.1: The Rectangular Cooordinate System and Graphs - Pages 108-118. (20 minutes)

              OpenStax College, Rice University - 2015

            • Section 2.1 Algebra and Trigonometry URL

              Read Sections 2.1.5: The Distance Formula, Pages 118-122. (10 minutes)

              OpenStax College, Rice University - 2015

            • Section 2.1 Algebra and Trigonometry URL

              Read Section 2.1.6: The Mid-Point Formula - Pages 122-123. (10 minutes)

              OpenStax College, Rice University - 2015

            • Mathematics for Liberal Arts Co-Requisite URL

              Read Page: Slope of a Line. (15 minutes)

              Lumen Learning

            • MathSpace: Ontario Grade 9 URL

              Read Section 6.02: Slope and Rate of Change. (15 minutes)

              Math Space - 2021

            • Section 8.1 Prealgebra URL

              Read Section 8.1: Graphing - Pages 569-575. (30 minutes)

              Department of Mathematics College of the Redwoods - 2013

            • Section 8.2 Prealgebra URL

              Read Section 8.2: Graphing Linear Equations- Pages 581-588. (30 minutes)

              Department of Mathematics College of the Redwoods - 2013

            • Discussion Forum 2: Finding the Distance Between Two Points (100 minutes)

              In this activity, you will study a Cartesian system and show how the distance formula can be used to prove that a point has the same distance as other points in the system.

              Step 1. Review

              Review the learning resources for this module, especially the distance formula.

              Step 2. Analyze

              Analyze the Cartesian system below and how can you use the distance formula to show that Point M is the same distance from Point P and Point Q.

              8/586

              Step 3. Respond

              Respond by showing all the mathematical steps and citing all properties or theorems you used to enable you to move from step to step as justifications. Put all your work into writing. 

              Step 4. Share

              To share your work, click on the “Add new discussion topic” button under this post and paste your work in the “Message” box. Make sure to reference others’ intellectual property when necessary. All references should follow 7th Edition APA formatting. For further instructions, see the resource on the Himmelfarb Health Sciences Library: APA citation resource (N.B. references are excluded from word counts).

              Step 5: Interact

              To complete the activity, you will need to reply to at least two posts made by your peers in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “post to the forum.”

            • Quiz: Module 2: Lessons 3 - 4
              To access the quiz, click on the name of the quiz provided above. On the following screen, click the "Preview quiz now" button to respond to the questions.
            • Quiz: Module 2

              To access the quiz, click on the name of the quiz provided above. On the following screen, click the "Preview quiz now" button to respond to the questions.

          • Module 3: Introduction to Functions, and Systems of Linear Equations

            Competency covered in this module: 
            • Introduction to Functions - Foundation for Study of Logarithmic, Exponentials, Trigonometric, and Inverse Trigonometric Functions.
            • Simultaneous Equations.
            • Module 3: Lesson 1: Introduction to Functions

              Student Learning Outcomes:
              Upon completion of this lesson, you will be able to:
              • Determine whether a relation is a function.
              • Evaluate a function given in tabular, algebraic, or word form.
              • Find function values from a graph.
              • Use the vertical and horizontal line tests to determine whether a function is one-to-one.
              • Find the domain of a function from its equation.
              • Find the range of a function from its equation.
              • Use inequality, set builder, and interval notation to specify domain and range.
              • Find domain and range from a graph.
              • FInd rate of change from a tabular function.
              • Work with piecewise-defined functions.
              • Determine whether a function is increasing, decreasing, or constant, and find its absolute max and min by its graph.
              • Identify the equation of a translated absolute value function.
              • Find the inverse of a function from its equation.
              Approximate time required for the readings for this lesson (at 144 words/minute): 11 hours and 8 minutes.

              Click here to start this lesson
              7 URLs, 1 Quiz
              • Required Learning Resources and Activities
              • Section 3.1 Algebra and Trigonometry URL

                Read Section 3.1: Functions and Function Notation - Pages 226-248. (80 minutes)

                OpenStax College, Rice University - 2015

              • Section 3.2 Algebra and Trigonometry URL

                Read Section 3.2: The Domain and Range of a Function - Pages 256-276. (72 minutes)

                OpenStax College, Rice University - 2015

              • Section 3.3 Algebra and Trigonometry URL

                Read Section 3.3.2, and 3.3.3 - Pages 287 - 295. (20 minutes)

                OpenStax College, Rice University - 2015

              • Section 3.6 Algebra and Trigonometry URL

                Read Section 3.6: Absolute Value Functions - pages 353-359. (20 minutes)

                OpenStax College, Rice University - 2015

              • Section 3.7 Algebra and Trigonometry URL

                Read Section 3.7: Inverse Functions - Pages 362-365. (20 minutes)

                OpenStax College, Rice University - 2015

              • Quiz: Module 3: Lesson 1

                To access the quiz, click on the name of the quiz provided above. On the following screen, click the "Preview quiz now" button to respond to the questions.

              • Additional Resources for Optional Learning
              • Domain and Range URL

                Read the entire page. (25 minutes)

                Lumen Learning- 2017

              • Properties of Functions URL

                Read the entire page. (25 minutes)

                Lumen Learning-2017

            • Module 3: Lesson 2: Solving Systems of Linear Equations (Simultaneous Equations) in Two Variables

              Student Learning Outcomes:
              Upon completion of this lesson, you will be able to:
              • Define a system of linear equations.
              • Determine whether an ordered pair is a solution to a system of Linear equations.
              • Solve a system of linear equations by substitution and elimination.
              • Identify an inconsistent system of linear equations.
              • Express the solution to a system of dependent equations.
              • Choose the most convenient method to solve a system of linear equations.
              Approximate time required for the readings for this lesson (at 144 words/minute): 3 hours and 45 minutes.

              Click here to start this lesson
              3 URLs, 1 Forum
              • Required Learning Resources and Activities
              • Section 11.1 Algebra and Trigonometry URL

                Read Section 11.1: Systems of Linear Equations - Two Variables - Pages 1212-1225. (52 minutes)

                OpenStax College, Rice University - 2021

              • Section 4.1 Algebra and Trigonometry URL

                Read section: Choosing the Most Convenient Method to Solve a System of Linear Equations. (3 minutes)

                OpenStax College, Rice University - 2020

              • Discussion Forum 3: System of Linear Equations (60 minutes)

                In this activity, you will study and solve a given case problem by showing your complete solutions.

                Step 1. Review

                Review the learning resources for this lesson before studying the case problem.

                Step 2. Analyze

                Analyze the case problem below.

                965876

                Step 3. Respond

                Respond to the case problem by completing the table below:

                8686

                Step 4. Share

                To share your work, click on the “Add new discussion topic” button under this post and paste your work in the “Message” box. Make sure to reference others’ intellectual property when necessary. All references should follow 7th Edition APA formatting. For further instructions, see the resource on the Himmelfarb Health Sciences Library: APA citation resource (N.B. references are excluded from word counts).

                Step 5: Interact

                To complete the activity, you will need to reply to at least two posts made by your peers in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “post to the forum.”

              • Additional Resources for Optional Learning
              • Section 4.1 Intermediate Algebra 2e URL

                Read the entire page. (45 minutes)

            • Module 3: Lesson 3: Applications of Systems of Equations

              Student Learning Outcomes:
              Upon completion of this lesson, you will be able to:
              • Solve Geometry applications using systems of linear equations.
              • Solve mixture applications using systems of linear equations.
              • Use graphs to solve a system of linear inequalities.
              Approximate time required for the readings for this lesson (at 144 words/minute): 3 hours and 40 minutes.

              Click here to start this lesson
              2 URLs, 2 Quizzes
              • Required Learning Resources and Activities
              • Section 4.3 Intermediate Algebra 2e URL

                Read page up to Example 4.54. (30 minutes)

                OpenStax College, Rice University - 2020

              • Section 4.7 Intermediate Algebra 2e URL

                Read Section 4.7: Graphing Systems of Inequalities. (15 minutes)

                OpenStax College, Rice University - 2020

              • Quiz: Module 3: Lessons 2 - 3

                To access the quiz, click on the name of the quiz provided above. On the following screen, click the "Preview quiz now" button to respond to the questions.

              • Quiz: Module 3

                To access the quiz, click on the name of the quiz provided above. On the following screen, click the "Preview quiz now" button to respond to the questions.

            • Module 4: Quadratic, and Rational Expressions and Equations

              Competency covered in this module: 
              • Basic Algebra.
              • Module 4: Lesson 1: Quadratic Expressions and Quadratic Equations

                Student Learning Outcomes:
                Upon completion of this lesson, you will be able to:
                • Solve quadratic equations by factoring and using the zero property.
                • Solve quadratic equations by the square root property.
                • Solve quadratic equations by completing the square.