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Ordered Pair

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Ordered Pair

Study Guide

Key Definition

An ordered pair is a set of two numbers contained within parentheses often representing a point on the Cartesian plane, such as $ (x, y) $.

Important Notes

The first number in $ (x, y) $ is the $ x $-coordinate.
The second number in $ (x, y) $ is the $ y $-coordinate.
Ordered pairs are used to plot points on graphs.
The Cartesian plane is named after Rene Descartes.
Ordered pairs connect algebra and geometry.

Mathematical Notation

$(x, y)$ represents an ordered pair

Remember to use proper notation when solving problems

Why It Works

Ordered pairs help visualize algebraic equations, such as plotting $y = x - 3$ on the Cartesian plane.

Remember

Ordered pairs are fundamental in linking algebra with geometry.

Quick Reference

Example:$(5, 2)$ where 5 is the $x$-coordinate and 2 is the $y$-coordinate

Understanding Ordered Pair

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Video explanation of this concept

Beginner

Start here! Easy to understand

Beginner Explanation

An ordered pair is represented as $(x, y)$.

Practice Problems

Test your understanding with practice problems

Quick Quiz

Single Choice Quiz

Beginner

Which of the following is an ordered pair?

Real-World Problem

Question Exercise

Intermediate

Teenager Scenario

Imagine you are plotting your friend's house location on a map using coordinates $(3, 4)$.

Thinking Challenge

Thinking Exercise

Intermediate

Think About This

Why is the order important in an ordered pair $(x, y)$?

Recap

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Review key concepts and takeaways