About This Chapter
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.
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.
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.
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!
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.
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.
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.
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.
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.
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.
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.
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.
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.
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Other chapters within the Cambridge Pre-U Mathematics: Practice & Study Guide course
- Cambridge Pre-U Mathematics: Quadratic Equations
- Cambridge Pre-U Mathematics: Absolute Value
- Cambridge Pre-U Mathematics: Polynomials
- Cambridge Pre-U Mathematics: Functions
- Cambridge Pre-U Mathematics: Circle Measurements
- Cambridge Pre-U Mathematics: Trigonometry
- Cambridge Pre-U Mathematics: Trigonometric Graphs
- Cambridge Pre-U Mathematics: Solving Trigonometric Equations
- Cambridge Pre-U Mathematics: Trigonometric Identities
- Cambridge Pre-U Mathematics: Sequences & Series
- Cambridge Pre-U Mathematics: Exponential & Logarithmic Functions
- Cambridge Pre-U Mathematics: Differentiation
- Cambridge Pre-U Mathematics: Integration
- Cambridge Pre-U Mathematics: Vectors
- Cambridge Pre-U Mathematics: Differential Equations
- Cambridge Pre-U Mathematics: Complex Numbers
- Cambridge Pre-U Mathematics: Numerical Methods
- Cambridge Pre-U Mathematics: Interpreting Data
- Cambridge Pre-U Mathematics: Regression & Correlation
- Cambridge Pre-U Mathematics: Probability, Permutations & Combinations
- Cambridge Pre-U Mathematics: Discrete Random Variables
- Cambridge Pre-U Mathematics: Normal Distribution
- Cambridge Pre-U Mathematics: Kinematics
- Cambridge Pre-U Mathematics: Force & Equilibrium
- Cambridge Pre-U Mathematics: Force & Laws of Motion
- Cambridge Pre-U Mathematics: Momentum & Impulse
- Cambridge Pre-U Mathematics: Projectile Motion
- Cambridge Pre-U Mathematics Flashcards