Lesson Title: Mini Wonders of the World
Developer: Eduscape Learning
Subject: Math Grade: 7 STEM Lesson
Time Frame: 45 minutes
Common Core State Standards:
Students extend their understanding of ratios and develop understanding of proportionality to solve single- and multi-step problems.
Students solve problems about scale drawings by relating corresponding lengths between the objects or by using the fact that relationships of lengths within an object are preserved in similar objects.
Cross-Curricular Core Standards:
Write informative/explanatory texts to examine a topic and convey ideas, concepts, and information through the selection, organization, and analysis of relevant content.
Present information, findings, and supporting evidence such that listeners can follow the line of reasoning and the organization, development, and style are appropriate to task, purpose, and audience.
To understand proportions are equivalent ratios.
To use proportions to create similar figures.
ELMO Document Camera
ELMO Image Mate Accent
Printed Image Of The Great Pyramid of Giza
Printed Image Of A Blank Pyramid
Printouts Of Various Wonders of the World (optional)
Using the base-ten blocks, build a rectangular prism with a square base that is nine blocks across and 3 blocks high. Place the shape under the ELMO Document Camera.
Print out the image of the dimensions of the Pyramid of Giza.
Print out an image of a blank pyramid.
If students do not have their own computers, print out the measurements of different wonders found on the website: http://www.newworldencyclopedia.org/entry/Seven_Wonders_of_the_World
Open Image Mate Accent on your computer. Set it to camera mode.
Pull the arm of the ELMO Document Camera downward and adjust the lens so that the students are able to see the dimensions of the block figure from the side.
Ask the students to determine the dimensions.
Next, ask the students how to create a similar figure with a width of six blocks. What would the height be?
Activate split screen mode and place a blank piece of paper on the active side of the screen.
Using the tablet (or writing directly on the paper), illustrate for the students how to use a proportion to find the missing dimension.
1. Explain to the students that you are planning on building a miniature golf course based on the different wonders of the world. Ask the students if they can name any of the wonders. (Ancient Wonders: Pyramid of Giza, Temple of Artemis, Statue of Zeus at Olympia; Other modern wonders include: Roman Colosseum, Stonehenge, Leaning Tower of Pisa, Great Wall of China, Taj Mahal, etc.)
2. To make each wonder as accurate as possible, you want to create a scaled down model of each wonder for the course.
3. Switch to the computer mode and show the students the website: http://www.newworldencyclopedia.org/entry/Great_Pyramid_of_Giza. This will give background information and images of the Great Pyramid of Giza. Click on the “Measurements” link in the contents box. Discuss with the students whether it is possible to make a life-size replica for the course. (The length of one side of the pyramid is over two football fields long.)
4. Switch back to the document camera. Adjust the arm so that it is once again upright. Place the image of the dimensions of the pyramid under the camera. Zoom in on the image.
1. Split the screen and place a sheet of paper with a blank pyramid outline at the top. Using the tablet (or writing directly on the paper), label the base of the pyramid as 8 feet long. Ask the students what the height should be to keep the figure proportional to the original pyramid. (Use the record feature in the Image Mate Software for steps 5 and 6 so that students may refer back to it for reinforcement.)
2. Use the blank space below the pyramid to journal the steps for setting up and solving the proportion.
3. Return to full screen mode, keeping the camera focused on the blank pyramid problem. Next, ask the students to find the length of the base of the pyramid if the height of the pyramid is 4 feet. Have them use your journal as a model for their answer.
4. Return to split screen mode. Have a student bring up their journal and place it under the camera. Allow the student to explain to the class how they solved the problem. Check their work as they are presenting.
5. Assign students (or pairs of students) a new wonder. Explain that you want each of the wonders on the golf course to be six feet wide. The students need to calculate what the height would be for their assigned wonder.
6. Using their computers, have the students consult the website: http://www.newworldencyclopedia.org/entry/Seven_Wonders_of_the_World to find the dimensions of their structure. (If students do not have computers, pass out the printed information about each wonder.)
7. As students locate the information they need, have them journal their answers.
8. Using the document camera, students can then present their work to the rest of the class.
9. Using the tablet, pull up a lined paper background.
10. Ask the students where else proportions can be used. Using the tablet, list the students’ answers. (Architects – blueprints, Artists – figure proportions, Cooks – proportional recipes, Zoologists – proportional habitats)
Assessment (Based On Objective):
Students can choose five modern wonders and compute what their dimensions would be if their bases were 8 feet across.
Students can complete a proportions practice worksheet to demonstrate their understanding. (worksheets can be found at: http://www.homeschoolmath.net/worksheets/proportions.php)
Students can use calculators to assist with the multiplication and division.
Students can use laptop computers to assist with the journaling.
Students can use a voice recorder to assist with the journaling.
Students can find reinforcement lessons and activities at the following website:
Extension Activities (For Gifted Students):
Students can design a hole of the golf course. Students will be required to choose a wonder, calculate the specific dimensions of the figure so that it is proportional to the real wonder, and design the interior of the figure using simple machines so a person can get a hole in one.
Students can draw a blueprint of the classroom.