Composite Shapes In the Real World

Eric  Larlee's picture
Content Area(s):  
Grade Level(s):  
Oregon Common Core State Standards: 
7.RP.1
7.G.E
7.G.F
Lesson Plan Details
Duration: 
1 week
Objective: 
• Students will learn how to use ratios and solving proportions to find the area and perimeter of large objects with composite shapes, using only one measurement and a picture of the object. • Students will model understanding using I-Pad apps that allow them to show and narrate their process.
Resources: 
• I-Pad with camera, • tape measure, calculator, and ruler • Promethean board, hand-held slate for Promethean board, • I-Pad Apps: Show Me and Educreations. • Math Textbook Math Connects: Course 2, by Glencoe/McGraw-Hill, Chapter 11 (Section 11-1 to 11-4 as prerequisite knowledge. Section 11-6 on composite figures). Chapter 6, section 6 on Algebra: Solving Proportions.
Preparation: 

 

Instruction: 

I

Day One-           

·      Provide an overview of the weeklong focus.

·      Review concept of composite shapes and finding perimeter and area of rectangles, triangles, trapezoids, and circles.

·      Go outside with I-Pads to take pictures of three composite shapes.

                       

                        Day Two-

·      Review quiz on perimeter and area.

·      Go outside and measure the base of the composite shape they took pictures of.

·      Select one of their shapes and print a picture of it.

·      Drawing on the picture, and using a ruler, break the shape into rectangles, triangles, trapezoids and circles (or half circles).

·      Measuring the shapes with a ruler, and using the one outside measurement, have students create a proportion to find the actual length of a side.

·      Assist students in applying concept to their picture/shape.

           

                        Day Three-

·      Mini lesson on solving proportions.

·      Text pg.310-312.  Demo on Promethean board.

·      Do problems together to check understanding

·      Assign a few problems to demonstrate understanding.

·      Have students create and solve proportions from their picture to find the actual lengths of all the sides.

·      Have students use the I-Pad App Show Me to demo solving one of their proportions.

·      Assist students in applying concept to their picture/shape.

 

 

                        Day Four-

·      Give quiz on solving proportions. 

·      Have students demonstrate solving a problem using the Promethean slate.

·      Demonstrate how to find the total perimeter and area of a composite shape from outside.

·      Have students find the total perimeter and area of their composite shape.

·      Assist students in applying concept to their picture/shape.

 

 

                        Day Five-

·      Review how to use the I-Pad App Educreations.

·      Demo how to import their picture.

·      Assign to create a short video demonstrating how they found the perimeter and area of their composite shape.

·      Share videos.

Assessment: 

·       Quiz on perimeter and area.

·       Quiz on solving proportions. Glencoe on-line quiz @ http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-07-874046-0&chapter=6&lesson=6&headerFile=7

·       In class demonstration solving one problem.

Oregon Educational Technology Standards
Communication and Collaboration: 
2B. Effectively communicate and publish to multiple audiences using a variety of media and formats.
Research and Information Fluency: 
3D. Analyze, evaluate, and summarize information or data and report results.
Digital Citizenship: 
5B. Model and practice a positive attitude toward using digital technology that supports collaboration, learning, and productivity.
Technology Operations and Concepts: 
6A. Select, use, and troubleshoot tools efficiently.
Career Related Learning Standards
Personal Management: 
CR1A. Identify tasks that need to be done and initiate action to complete the tasks.
CR2A. Plan, organize, and complete projects and assigned tasks on time, meeting agreed upon standards of quality.
CR3A. Take responsibility for decisions and actions and anticipate consequences of decisions and actions.
CR4A. Maintain regular attendance and be on time.
Problem Solving: 
CR2A. Identify problems and locate information that may lead to solutions.