Points of Reflection

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SWBAT reflect points plotted on the coordinate plane across the x-axis and y- axis.

Big Idea

It was here... Now it's there: Reflecting coordinate points across the x and y axis.

Curriculum Reinforcer

10 minutes

Students will complete 3 problems to review units 1 through 6. The curriculum reinforcer, is a daily practice piece that is incorporated into almost every lesson to help my students to retain skills and conceptual understanding from earlier lessons. My strategy is to use Spiraled Review to help my students retain what they learned during the earlier part of the year. This will help me to keep mathematical concepts fresh in the students mind so that the knowledge of these concepts become a part of students' long term memories.


10 minutes

Today, I will open up today’s lesson with a discussion about what the word “reflect” means.

The students and I will explore this word in whatever context they are familiar with. Then, I will ask them how they believe the word “reflect” will apply to what we have been learning about the coordinate plane.

Instruction & Teacher Modeling

10 minutes

Today, I will present the lesson instruction through a learning task that is outlined in the activity below. This activity will also serve as our "Try It Out" or "Guided" portion of this lesson. While completing this activity, I will ensure to cover the following elements to ensure that my students understand the concept of reflection:

  • The difference between reflecting over the x-axis and reflecting over the y-axis
  • What happens to the x and y coordinates when reflecting across the x-axis.
  • What happens to the x and y coordinates when reflecting across the y-axis.


Learning Task Activity:

Using one inch grid paper, I will have my students draw a coordinate plane then fold their paper exactly on the lines where they drew their coordinate plane (the x & y axes). Then, I will have my students plot a point on the coordinate plane. Then they will fold their paper to demonstrate reflection. If they fold their paper at the x-axis, that will demonstrate reflection across the x-axis. If they fold their paper at the y-axis, that will demonstrate reflection across the y-axis. Then, they will transfer their original point to its reflected location.


Please see the video to demonstrate how this activity should be properly done. The method is easier to show than to explain.


Independent Exploration

20 minutes

To practice graphing the reflection of given coordinates, I will have my students complete two worksheets. Both worksheets require students to utilize the skills that they learned during today's lesson. Students will be required to reflect points as well as shapes across the x-axis or the y-axis according to the directions given on the worksheets. 

The worksheets are attached to this section of this lesson.

Closing Summary

15 minutes

To close out this lesson, I will give select students a circle made of colored paper. They will be given one of the problems from one of the two worksheets that they had to complete during the "Independent Exploration." They will write their problem number on their circle and then they will show their solution to their problem on the giant coordinate plane on the floor.


As a class, we will take this time to clear up any misconceptions and discuss anything that we had difficulty with as well as any “ah ha” moments that may have popped up during this time.


Ticket Out the Door 

Before leaving my class, my students will have to write down a set of reflecting coordinates on a scrap of paper and hand it to me on the way out the door.