Return to the Geometry Webquest 7th Grade Geometry
M7G3
math clip art
 
Mrs. Boswell
Winder-Barrow Middle School
 




Similarity and Congruence:
A Curriculum Map and Planning Guide

 

Introduction
This Webquest is designed to provide alternative assessments for students as they complete their journey through the world of similar and congruent figures. These online activities and websites will help to enrich the understanding of the students by providing them with various ways to show their understanding and knowledge. Through the technology-based hands-on activities, students will understand similarity, congruence, and how the sixth grade standards of fractions, ratio, and proportion come into the seventh grade classroom.

Curriculum Standard
M7G3. Students will use the properties of similarity and apply these concepts to geometric figures.
a. Understand the meaning of similarity, visually compare geometric figures for similarity, and describe similarities by listing corresponding parts.
b. Understand the relationships among scale factors, length ratios, and area ratios between similar figures. Use scale factors, length ratios, and area ratios to determine side lengths and areas of similar geometric figures.
c. Understand congruence of geometric figures as a special case of similarity: The figures have the same size and shape.

Aim/Purpose Statement
One of the concepts that seventh grade students are to understand is that of similarity and congruence. This Webquest is designed to reinforce the idea that similar and congruent figures exist in the world around us. Likewise, an understanding of similarity and congruence serves to provide the students with a firm background when considering concepts such as construction, stability, and the relationship between figures.

Rationale
The mathematics curriculum at WBMS is guided by the Georgia Performance Standards. Each of the standards falls under one of the following strands: algebra, numbers and operations, geometry, and data analysis and probability. Sixth grade also includes a measurement strand. Each grade also includes process standards (problem solving, etc.). As a student masters each of the standards, he is not only being prepared for the upcoming material in eighth grade and beyond. The seeds of algebraic thinking are being honed, and he is becoming prepared for life and complex thought. The activities contained within this website will serve to create a firm understanding of the geometric concepts contained within M7G3.

General Education Goals
This curriculum web was designed by Mrs. Boswell, a seventh grade math teacher, with the hopes of helping students to make the connection between the material learned in the classroom and the real world. Geometry is a concept that readily exists in the world outside of the classroom. The ability to make these connections and develop a relationship with the material helps students to create meaning around the material presented in class.

In addition, the WBMS math department is constantly looking for ways to develop meaning behind the curriculum taught as a way of helping students to excel on assessments - both formative and summative. This Webquest serves as a resource to help the seventh grade math teachers create meaning between the classroom information and the world in which the students live.

Subject Matter Description  
This website will focus on a portion of the geometric standards for 7th grade math. Topics will include:
  • Geometry
  • Similar figures
  • Corresponding parts
  • Ratio
  • Size/shape
  • Variable
  • Angle
  • Side lengths
  • Similar/Similarity
  • Congruent/Congruence
  • Scale/Scale factors
  • Length and area ratio
  • Equation
  • Solving equations
  • Geometric figures
  • Proportion

Learners
This website is designed to instruct seventh grade students. It can be used to help with acceleration and previewing of material at the end of the sixth grade. Additionally, eighth grade teachers can use this as a remediation tool.

Prerequisites
In order for the student to have success in the activities contained within this website, they will need to have an understanding of the following mathematical concepts and technological skills:

Math Concepts:

  • How to set up and solve a proportion
  • What it means for figures to be congruent
  • How to solve a simple equation
  • The identification of various geometric figures
  • A ratio can be written as a fraction
  • A ratio expresses a comparison between two amounts
  • How to find missing amounts when solving a proportion
  • The various equations to find area of geometric figures

Technological Skills:

  • How to use simple computer programs such as Word, PowerPoint, etc.
  • How to operate BrainPop and other internet based programs

Learning Objectives
After the completion of the activities, students will be able to:

  • Solve proportions to find missing lengths for similar figures
  • Use scale factor to find the areas and missing side lengths of similar figures
  • List corresponding parts of similar figures
  • Identify which figures are similar and which figures are congruent

Materials
In order to complete these activities, students will need access to the following materials:

  • Notebook paper
  • Computer paper
  • Pens/pencils
  • Poster board
  • Colored pencils or markers
  • Construction paper, magazines, etc. for the student's posters
  • A computer with internet access for each student
  • Microsoft Office installed on each computer
  • Headphones for the students completing activities A-3 or B-3
  • "Fun-sized" candy bars
  • "Regular-sized" candy bars
  • Jane Shaffer model of writing in math displayed in the room
  • Thinking Map posters displayed in the room
  • Ability to listen to music for activity B-3, if permitted by the school.

Instructional Plan
In class, the teacher will review the expectation of the WebQuest and the activities that the students will have to choose from, as indicated by the Content Map. Additionally, the teacher will review the procedure that the students will follow for selecting their two activities from each page and the process for teacher approval. The teacher may choose to use a contract of sorts; click here for an example. This segment of the Instructional Plan is up to the teacher and how he/she likes to run his/her classroom.

Each student will need to complete Weeding Through the Words to Find the Math: A Word Problem Webquest before moving on to the Geometry WebQuest. The Word Problem Webquest is designed to act as a an activity for groups of 3 or 4 students. The teacher may choose to make changes and have students work individually if he/she wishes.

After completing the Word Problem Webquest, each student will need to review the activities as indicated on Pages A, B, and C of the Geometry WebQuest. After selecting their activity choices, the teacher's role changes to a facilitator. The teacher's role will be to monitor the students on the computers, answer questions and provide guidance where needed, and to provide constructive feedback as students are working on the products for their activities (posters, PowerPoint presentations, etc.).

Once the students have completed their assignments, the teacher can utilize the given Rubrics in order to score the students. Teachers are welcome to modify the given Rubrics to suit their own needs; however, students will need to be provided with updated Rubrics before getting started.

Assessment Plan
The students will have their work assessed through the Rubrics, as indicated on the WebQuest. Each assignment has its own Rubric, which is linked within the assignment description. There are a few assignments which are assessed in different ways - quizzes, etc. - specified within the assignment description. Again, if the individual teacher wishes to modify the given Rubric to meet their own needs, the students should be provided with these updated Rubrics before selecting their assginments.

Evaluation Plan
As a method of assessing the effectiveness of the WebQuest, students and teachers will have the opportunity to convey their opinions through surveys. Students can access their survey on the Evaluation Page, and teachers can access their survey on the Teacher Resources Page. The responses will be evaluated and taken into consideration when making changes to and adjusting the WebQuest to better meet the needs of students and teachers.

Contact Information
Erica Boswell
Curriculum Web
Web Quest

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