Similar and Congruent Figures: Advanced Lesson

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The Similar and Congruent Figures lesson plan for students in the 6th grade will teach students how to determine the congruence of segments, angles, and polygons.

Included with this lesson are some adjustments or additions that you can make if you’d like, found in the “Options for Lesson” section of the Classroom Procedure page. One of the optional additions to this lesson is to have your students design artwork that labels similar and congruent figures.

Description

What our Similar and Congruent Figures lesson plan includes

Lesson Objectives and Overview: Similar and Congruent Figures teaches students all about similar and congruent figures. At the end of the lesson, students will be able to determine congruence of segments, angles, and polygons by direct comparison, given their attributes. This lesson is for students in 6th grade.

Classroom Procedure

Every lesson plan provides you with a classroom procedure page that outlines a step-by-step guide to follow. You do not have to follow the guide exactly. The guide helps you organize the lesson and details when to hand out worksheets. It also lists information in the blue box that you might find useful. You will find the lesson objectives, state standards, and number of class sessions the lesson should take to complete in this area. In addition, it describes the supplies you will need as well as what and how you need to prepare beforehand.

Options for Lesson

Included with this lesson is an “Options for Lesson” section that lists a number of suggestions for activities to add to the lesson or substitutions for the ones already in the lesson. One optional addition to this lesson is to have your students design artwork that labels similar and congruent figures.

Teacher Notes

The teacher notes page includes a paragraph with additional guidelines and things to think about as you begin to plan your lesson. This page also includes lines that you can use to add your own notes as you’re preparing for this lesson.

SIMILAR AND CONGRUENT FIGURES LESSON PLAN CONTENT PAGES

Similar and Congruent Figures

The Similar and Congruent Figures lesson plan includes one content pages. Similar figures are figures that are the same shape. To demonstrate this, the lesson shows a triangle and hexagon. Even though they are both polygons, these figures are not the same because the triangle has three sides and the hexagon has six sides. Their angles also have different measurements. Therefore, these two shapes are not similar.

The lesson shows another example of a rectangle and square. Both of these figures have four sides and 90 degree angles, but the lengths of their sides are different so these two shapes are not similar. Next, the lesson shows two circles of different sizes. The figures are the same, but one is larger than the other. These two shapes are similar because they are the same shape.

Congruent figures are figures that are the same shape and the same size. When figures are congruent, their corresponding angles and sides match. The lesson demonstrates this by showing two pawns from a chess set. The pawns are the same shape and the same size, so they are congruent!

SIMILAR AND CONGRUENT FIGURES LESSON PLAN WORKSHEETS

The Similar and Congruent Figures lesson plan includes three worksheets: an activity worksheet, a practice worksheet, and a homework assignment. You can refer to the guide on the classroom procedure page to determine when to hand out each worksheet.

SIMILAR AND CONGRUENT COLLAGE ACTIVITY WORKSHEET

The activity worksheet asks students to create both congruent and similar figures out of colored paper, following the instructions listed on the worksheet. They will then glue their shapes to another piece of paper to make a collage!

CONGRUENT OR NONCONGRUENT PRACTICE WORKSHEET

For the practice worksheet, students will first determine if five pairs of lines are congruent or noncongruent. Next, they will determine if four pairs of polygons are congruent or noncongruent.

SIMILAR AND CONGRUENT FIGURES HOMEWORK ASSIGNMENT

The homework assignment asks students to fill out the table. For each row of the table, they are given two shapes and need to determine if they are similar, different, or congruent. They will also provide an explanation for each.

Worksheet Answer Keys

This lesson plan includes answer keys for the practice worksheet and the homework assignment. If you choose to administer the lesson pages to your students via PDF, you will need to save a new file that omits these pages. Otherwise, you can simply print out the applicable pages and keep these as reference for yourself when grading assignments.

Additional information

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State Educational Standards

LB.MATH.CONTENT.6-Advanced Lesson

Lessons are aligned to meet the education objectives and goals of most states. For more information on your state objectives, contact your local Board of Education or Department of Education in your state.

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