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Ch 4: OUP Oxford IB Math Studies Chapter 4: Mathematical Models

About This Chapter

The Mathematical Models chapter of this OUP Oxford IB Math Studies Companion Course helps students learn the essential lessons associated with mathematical models. Each of these simple and fun video lessons is about five minutes long and is sequenced to align with the Mathematical Models textbook chapter.

How It Works:

  • Identify the lessons in the OUP Mathematical Models chapter with which you need help.
  • Find the corresponding video lessons with this companion course chapter.
  • Watch fun videos that cover the mathematical model topics you need to learn or review.
  • Complete the quizzes to test your understanding.
  • If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.

Chapter Topics

You'll learn all of the math topics covered in the textbook chapter, including:

  • Key terms related to functions
  • Graphing functions
  • Domain and range
  • Real-life linear models
  • Quadratic equations
  • Parabolas
  • Exponential functions
  • Exponential growth and decay
  • Polynomials in function notation
  • Polynomial graphs
  • Graph construction
  • The interpretation of line graphs

OUP Oxford IB is a registered trademark of the University of Oxford, which is not affiliated with Study.com.

12 Lessons in Chapter 4: OUP Oxford IB Math Studies Chapter 4: Mathematical Models
Test your knowledge with a 30-question chapter practice test
What is a Function: Basics and Key Terms

1. What is a Function: Basics and Key Terms

Mapping numbers sounds complex, but we do it when we buy gasoline. We pump gasoline, and the gas station charges us based on the amount of gas that we pump. Learn how this relates to functions while reviewing the basics and notations in this lesson.

Graphing Basic Functions

2. Graphing Basic Functions

Graphs are just like maps - when you know the language! Review how locations have x and y coordinates similar to latitude and longitude, and how to plot points in the Cartesian plane.

What Is Domain and Range in a Function?

3. What Is Domain and Range in a Function?

The domain and range are the possible outputs and inputs of a function. In this lesson, learn about what might restrict the domain and how to figure out the domain and range from a graph.

Writing & Evaluating Real-Life Linear Models: Process & Examples

4. Writing & Evaluating Real-Life Linear Models: Process & Examples

You make decisions about budgeting and other financial issues using linear models without even realizing it. Learn how to write and evaluate linear models.

What is a Quadratic Equation? - Definition & Examples

5. What is a Quadratic Equation? - Definition & Examples

You might be surprised to learn that quadratic equations are an important part of the world we live in. We sometimes even make use of them for our entertainment! Watch this video lesson to learn more about these equations.

Parabolas in Standard, Intercept, and Vertex Form

6. Parabolas in Standard, Intercept, and Vertex Form

By rearranging a quadratic equation, you can end up with an infinite number of ways to express the same thing. Learn about the three main forms of a quadratic and the pros and cons of each.

What Is an Exponential Function?

7. What Is an Exponential Function?

Brand new technologies don't always catch on right away because they can be expensive and don't always work as well as they should. But once the price comes down, and they start to work better, it doesn't take very long before it seems like everyone has one. Learn about the numbers behind this, exponential functions!

Exponential Growth vs. Decay

8. Exponential Growth vs. Decay

How is it that it only takes four years for our computer to go from top-of-the-line to almost worthless? Well, it has something to do with what's called exponential decay, which we'll learn about here!

How to Evaluate a Polynomial in Function Notation

9. How to Evaluate a Polynomial in Function Notation

This lesson will review how to evaluate polynomials in function notation. Along with an analogy to explain the process, examples will be given and worked during the lesson.

Understanding Basic Polynomial Graphs

10. Understanding Basic Polynomial Graphs

This lesson will cover understanding basic polynomial graphs. The lesson focuses on how exponents and leading coefficients alter the behavior of the graphs.

How to Construct Graphs from Data

11. How to Construct Graphs from Data

This video describes how to create a line graph and explains the four main parts that graphs need to contain: 1. previously collected data, 2. picture representations, 3. use of the correct graph type, and 4. labels. This lesson also covers dependent and independent variables.

Reading and Interpreting Line Graphs

12. Reading and Interpreting Line Graphs

Watch this video lesson to find out how useful line graphs can be and how much information you can gain just from looking at one. Learn how you can apply that information in your own life to help you make better decisions.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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