Lesson 4

Definition of Reflection and Basic Properties

Learner Outcome: I can define and perform reflections across a line and determine the properties of the images.

Facilitator Notes: When beginning to discuss the basic properties of reflections with my learners, I put up a picture of a flower on a pond where it’s reflection can be seen in the water. To begin teaching learners about the basic properties, I prompted them with a series of questions. These questions were used to direct learners observations to specific parts of the picture.

  • What do you see when you look at the picture?
  • What do you notice about the two flowers?
  • What do you notice about the lily pad that the flower sits upon?
  • When you say it’s reflected, what do you mean?
  • What does it mean for something to be reflected?
  • How would you describe a reflection to someone who’s never seen it before?
  • What do you notice about the size of the flower before and after the reflection?
  • On a smaller scale, what do you notice about the size of individual petals before and after the reflection?
  • Why do you think the flower does or doesn’t change size when reflected?

I introduce these questions one by one and learners discussed these questions with partners. We then have a whole group discussion about reflections. Through directing learners observations to specific pieces of the picture, they will learn about the three basic properties of reflections. Learners begin to notice that angles and distance are preserved in reflections. They also notice that a line when reflected is still a line, a petal still a petal, etc.

What is a reflection?

Watch the video below to begin learning about reflecting shapes. Make sure to answer the questions along the way.

Facilitator Notes: Edpuzzle is a tool that can be used to assess a learner's understanding of the video they are watching. The video below introduces reflections on a coordinate plane and asks learners to identify the direction in which an image being reflected would flip.

Watch the following video showing you how to effectively use the simulation to reflect shapes over a line. Make sure to follow along and pause the video when necessary.

Facilitator Notes: The simulation below allows learners to practice reflecting objects on a coordinate plane. This simulation again gives learners the ability to receive instant feedback to see if they are able to reflect shapes on the coordinate plane. As they are working, proximity is used to make sure all learners are reflecting over the different mirrors.

Directions: As you're working through the simulation, make sure to do reflections over the following lines:

x-axis

y-axis

x = -2

y = 1

You can also reflect your shapes over other lines of reflection as well. Throughout the simulation, you will have to answer the questions on the google form below. Read the questions before accessing the simulation so you know what to look for.

When you're ready click here to access the simulation!

Facilitator Notes: The google form is used as a formative assessment to gage how learners are doing with reflecting shapes over a designated line of reflection. This formative assessment also allows me to see what properties of reflections learners know well and which properties we need to spend more time on.

Facilitator Notes: The button below takes learners to khan academy where they can continue to practice reflecting shapes on a coordinate plane. This will give them instant feedback in regards to these reflections. Learners can use hints and watch videos along the way.

Test your knowledge! Do you know your reflections? Click the button below to practice performing reflections on khan academy!

Facilitator Notes: At this point learners should have a basic understanding of reflections and what a shape will look like upon reflection. Learners should now be able to perform reflections on paper using a transparency. The worksheet that goes along with reflections is below.

lesson4student.pdf