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Ch 5: Cambridge Pre-U Mathematics: Coordinate Geometry

About This Chapter

Allow us to familiarize you with coordinate geometry and its related topics. Video lessons and self-assessment quizzes provide a thorough understanding of each concept, providing all of the information you'll need to be successful on the Cambridge Pre-U Mathematics exam.

Cambridge Pre-U Mathematics: Coordinate Geometry - Chapter Summary

This chapter contains lessons that will familiarize you with coordinate geometry. Learn important aspects about the Cartesian coordinate system, formulas, and linear equations. Video lessons thoroughly review each subject and explain how to solve equations, including:

  • Using midpoint and distance formulas
  • Calculating the slope of a line
  • Understanding parallel, perpendicular and transverse lines
  • Graphing systems of equations
  • Recognizing vertical and horizontal asymptotes
  • Finding the equations of a circle
  • Understanding transformations and translation in math

Instructors guide you through each lesson, helping you to fully understand the topics covered. Videos and self-assessment quizzes make the material fun and interesting, and they assist you in retaining what you've learned.

Cambridge Pre-U Mathematics: Coordinate Geometry Objectives

The Cambridge Pre-U Mathematics exam measures your achievements in foundational mathematics and a wide range of related skills. It will also determine your grasp of the ways in which different mathematical fields are related. The concepts presented in the Coordinate Geometry chapter of this Cambridge Pre-U Mathematics study guide are included in components one and two of the Cambridge exam. Other areas covered in the exam include quadratics, algebra, trigonometry, logarithms and exponentials, differential equations, and other forms of mathematics. The lessons in this chapter guide you through the coordinate geometry concepts you'll encounter on the exam, and self-assessment quizzes introduce you to the types of questions you'll see on test day.

12 Lessons in Chapter 5: Cambridge Pre-U Mathematics: Coordinate Geometry
Test your knowledge with a 30-question chapter practice test
The Cartesian Coordinate System: Plotting Points & Graphing Lines

1. The Cartesian Coordinate System: Plotting Points & Graphing Lines

Watch this video lesson to see how useful the Cartesian coordinate system is. Learn how points are labeled and how you can plot points and graph lines using the system.

How to Use The Midpoint Formula

2. How to Use The Midpoint Formula

The formula for the midpoint of a line segment will tell you how to find the middle of any line segment on the x, y plane. Learn about this formula and see how it is used to find the midpoint of a line segment.

How to Use The Distance Formula

3. How to Use The Distance Formula

You can't always rely on your smartphone to tell you how far you need to travel to get from point A to point B. The distance formula will tell you the distance between any two points on a graph. In this lesson, you'll learn where it comes from and how to use it!

Calculating the Slope of a Line: Point-Slope Form, Slope-Intercept Form & More

4. Calculating the Slope of a Line: Point-Slope Form, Slope-Intercept Form & More

Being able to calculate the slope of a line is a very useful skill to have. Why? Watch this video lesson to find out and learn how to find the slope when working with various equations and various lines.

Linear Equations: Intercepts, Standard Form and Graphing

5. Linear Equations: Intercepts, Standard Form and Graphing

Do you know what to do if an equation doesn't look like y=mx+b?! If not, then this video is for you. Chances are the equation is in standard form, so we'll learn how to use standard form equations, how to graph them and why they can be helpful.

Equation of a Line Using Point-Slope Formula

6. Equation of a Line Using Point-Slope Formula

It's time for a road trip to Las Vegas, and after four hours of driving at 60 mph ... Are we there yet? Learn the point-slope form of the equation of a line to help answer this age-old question.

Parallel, Perpendicular and Transverse Lines

7. Parallel, Perpendicular and Transverse Lines

What are the different types of lines? Where are they visible in the real world and how can you recognize them? Find out here and test your knowledge with a quiz.

What is a System of Equations?

8. What is a System of Equations?

So what happens if we want to compare more than one equation? Welcome to a 'system' of equations! Learn what one is, how to solve them and when they come up in real life.

Horizontal and Vertical Asymptotes

9. Horizontal and Vertical Asymptotes

No matter how hard you try to get to them, asymptotes remain out of reach. Learn about these invisible lines on graphs that show you places your equations just can't go.

How to Find the Equation of a Circle

10. How to Find the Equation of a Circle

There are two commonly used forms of equations for a circle, in this lesson we'll take a few minutes to examine and understand both forms, and be able to convert from one to the other.

Transformations in Math: Definition & Graph

11. Transformations in Math: Definition & Graph

In geometry, transformation refers to the movement of objects in the coordinate plane. This lesson will define and give examples of each of the four common transformations and end with a quiz to make sure you are moving in the right direction.

What is Translation in Math? - Definition, Examples, & Terms

12. What is Translation in Math? - Definition, Examples, & Terms

In mathematics, translation refers to moving an object without changing it in any other way. This lesson will describe how to translate an object and give some examples. A quiz will follow to test your knowledge.

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

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