Lesson Plan: Overview

Subject: Mathematics
Topic: Congruency - Introduction
Level: Secondary 1
Duration: 45 minutes

Learning Objectives:
Students will learn that

• Congruent figures are of the same shape and size
• Reflected images are congruent

Description

In this lesson, students uncover the 'characteristics' of "Congruent" figures through a mixture of examples and counter-examples. They demonstrate their understanding through selecting the effects that produce relevant images and checking their work with the basic feature of Numbers (i.e. the grids).

Note:

The use of Photo Booth further 'engages' the students as they could be the 'subject' of their own learning. It also further illustrate how an application that seemingly has no relation to Mathematics learning could make the learning experience an interesting and engaging one.

1. Connecting to Prior Experiences

1. Using the following real world example, elicit students prior knowledge to "Congruency":

• When the mechanical pencil runs out of lead, what do you look out for when choosing the refill?
• Possible suggestions from students would include shape and size.
• Pen these info on the board.
• Note: Others - correction tape; ball point pens

2. Based on the suggestions, draw out from students the common deciding factor: "Same Shape, Same Size".

3. Introduce the term "Congruent".

• That is, "Congruent" means "same shape, same size".
• The description of the word is only partial. Students will explore its mathematical meaning further in the next activity.

2. Understanding "Congruent" mathematically

Scaffold students' understanding of the term "Congruent" mathematically with examples.

1. In pairs, students are given a pairs of picture cards to classify into examples and counter-examples of Congruent figures:

Examples of pairs of picture that illustrate congruence will have

• Images of the same shape, size, colour & orientation
• Images of the same shape, size & orientation, but different colour
• Images of the same shape, size & colour; but reflected (i.e. flipped vertically/horizontally)

Examples of pairs of pictures that illustrate congruence

• Images of the same shape, colour & orientation, but different sizes
• Images of the same colour, orientation & size, but with slightly different shapes (e.g. right-angled triangle and equilateral triangle that with the same size)

3. Elicit from students what are the characteristics presented in each pair of pictures that help them classify the pictures into the examples and counter-examples.

4. Highlight to students that "Images of the same shape, size & colour; but reflected (i.e. flipped vertically/horizontally)" are also congruent.

• Get students to lay the pictures one on top of another to test if the pictures are of the same shape and same size.

3. Demonstrating Understanding of Congruence

Students will demonstrate their understanding by creating images that illustrates congruence. They will also need to 'explain' why the images they created are congruent.

Part (I): Using Photo Booth to demonstrate understanding

By selecting the relevant effects in Photo Booth, students take photos of their faces or objects that they think would illustrate "Congruence".

For example: The original object


Using Photo Booth, students take pictures that illustrates congruence through various effects:

Example 1: Using the "Mirror" effect

Example 2: Using the "Pop Art" effect

Part (II): Using Number to explain their understanding

Using the square grids (created with Number), students 'explain' why the pictures they take illustrate "Congruence".

1. Students will insert the images into a Number template.

2. Using the gridlines (in Print View), they show the congruence within each image by positioning the image such that the grid line divides into into 2 equal halves (reflection) or into 4 quadrants where all the images are exactly the same (identical replicates).

3. Using the grid, students are able to count and describe that the corresponding sides of the image are of the same shape and size.

4. Students could choose one of the images to be posted in the class blog (coupled with illustrations) to share with their peers.

• Riding on the same platform, students could questions to clarify if they do not agree with the images and explanations submitted by their peers.

4. Concluding the Lesson

Recap the key points of the day's lesson by getting students to give examples of congruent objects they see in real world application.

• Recap the understanding of the term, "Congruent" in this lesson.

About Me... About What I Do...

Here's the video clip about me... on what I did in the recent years...
More of what I have done... can be found on the left sidebar in this blog...

Cheers!