Unit 20: Coordinate Plane and Graphing

Day 10 of 30

Find distance between points on the same axis

3-5Mathematics

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Learning Objective

Students will be able to find distance between points on the same axis.

Today's Lesson

In this lesson, we'll explore how to find distance between points on the same axis. Mathematical thinking develops logical reasoning and problem-solving abilities.

The coordinate plane has two axes (plural of axis): the x-axis (horizontal) and y-axis (vertical). They intersect at the origin (0, 0). The x-axis shows left-right position; the y-axis shows up-down position. Together, they divide the plane into four quadrants. Numbers to the right and up are positive; left and down are negative. The axes are like a grid system for locating any point!

As you work through today's material, pay attention to the examples and try to identify the patterns or strategies being used. This will help you apply these concepts to new problems.

Take notes on key points and make connections to what you've already learned in previous lessons.

Key Terms
Problem

A mathematical question requiring analysis and solution

Solution

The result obtained by solving a problem

Activities
Instructions
1. Review the example problems for find distance between points on the same axis. 2. Identify the steps and strategies used. 3. Work through practice problems independently. 4. Compare solutions with a partner.
Materials Needed
  • Notebook
  • Calculator (if needed)
  • Graph paper
Practice Problems
1

Practice Problem 1: Apply what you learned today.

Hint: Review the examples from the lesson.
2

Practice Problem 2: Try a similar problem on your own.

Hint: Use the strategies you learned.
3

Challenge: Can you create your own problem like the ones we practiced?

Hint: Think about the pattern in the problems.

Teaching Tip

For this age group: Balance direct instruction with collaborative activities. Allow students to explain their thinking and make connections to prior knowledge when exploring find distance between points on the same axis.

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