Unit 20: Coordinate Plane and Graphing

Day 23 of 30

Perform translations or slides on the plane

3-5Mathematics

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Learning Objective

Students will be able to explore perform translations or slides on the plane.

Today's Lesson

In this lesson, we'll explore perform translations or slides on the plane. Mathematical thinking develops logical reasoning and problem-solving abilities.

A translation (or slide) is moving a shape to a new position without rotating or flipping it. Every point moves the same distance in the same direction. On the coordinate plane, you can translate by adding or subtracting the same amount from coordinates. For example, move (2, 3) right 4 and up 1 to get (6, 4). Translations preserve size and shape—only the position changes. It's like sliding a book across a table!

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 perform translations or slides on the plane. 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 perform translations or slides on the plane.

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