Geometry WebquestUsing Models to Understand

Pythagorean’s Formula and Volume Formula

By Tina Hinson

Lesson Standards

Mathematical Standards

• Select and use appropriate tools and units of measure when measuring and calculating angles, surface areas, and volumes of rectangular prisms;

• Identify and apply formulas to determine the surface area and volume of rectangular prisms; Example: Determine how many centimeter cubes would fill a bracelet box that measures 5cm X 20cm X 4cm.

• Use representations to model and interpret physical, social, and mathematical phenomena.

• Use the language of mathematics to express mathematical ideas precisely.

Objective

• Students will learn to use the Pythagorean to find the length of the various sides of triangles. Then students will find the area of and surface area.

• Using the Area formula students will apply that knowledge to determine the side lengths and hypotenuse formula.

• Interactive- Lesson and Interactive Practice Activity. Here students will read the lesson to learn about the Greek philosopher Pythagoras and his discoveries.

• Students will be introduced to Build with Chrome, a highly interactive program that allows users to create geometric structures with virtual Legos.

Please View Videos

Watch and take notes on the Video- YouTube Video that teaches the parts of a triangle and how the Pythagorean Theorem works created by Sergio Alvarez https://m.youtube.com/watch?v=wdTkyrUaPHg  Animated Video lesson- Students will learn how to make models of triangular prisms based on the pre-determined dimensions. Please discuss when implementing the “Make a Model” strategy is the best choice. http://glencoe.com/sites/common_assets/mathematics/0078916437/animations/an_g7_ps_makeamodel.swf

Interactive Practice

Interactive- Lesson and Interactive Practice Activity and online Worksheet. Here you will read the lesson to learn about the Greek philosopher Pythagoras and his discoveries. Then do the Triangle Explorer Activity located at http://shodor.org/interactive/activities/SquaringTheTriangle/

Hands-On Activity

You will use paper or cardboard to build models of structures such as triangular prisms and cylinders. These type of shapes are constructed using mathematical Nets. First, use boxes tracing the outside to explore the type of net that would make certain shapes.

Matching Nets- Test your skills at determining the final shape a net will form. This is found at http://www.mathworksheets4kids.com/solid-shapes/net-matching2.pdf

Cutting out and making nets of squares, octagons, and other 3D solid shapesFrom Math Worksheets 4 Kids http://www.mathworksheets4kids.com/solid-shapes/net-large.png

Vocabulary & Journaling

Word Meaning Example

Surface area

Prism

volume

3D

Complete vocabulary in Math Journal using Math Connects Text Lesson 12-1 and 12-2. Remember, put the definition in your own words and provide an example.

Build with Chrome

Virtual Building Project- Here, you will enter the world of builders. Honing your skills on Surface Area and geometrical figures, you will create your own building. You will give the dimensions of your masterpiece using each block to equal 10 feet in height, and 2 connector pegs equal 10 feet. You will be required to know the Surface Area and Volume of your Creation. In order to have enough, this project will first require you to attend the Build Academy. https://www.buildwithchrome.com/

Test Your Skills

Assessment to put your new skills to the test. http://glencoe.mheducation.com/sites/0078740460/student_view0/chapter12/lesson4/self-check_quizzes.html Take the online quiz on using Surface Area formulas. This multiple choice quiz result is sent directly to the instructor’s email. Ernestine.hinson@student.dodea.edu

References

Alverez, S., Pythagorean Theorem Equation, YouTube Video, as retrieved on July 11, 2015, Created by Sergio Alvarez https://m.youtube.com/watch?v=wdTkyrUaPHgBuild with Chrome Website, as retrieve on July 11, 2015https://www.buildwithchrome.com/Department of Defense Education Activity, Mathematical Standards Grade 7, August 2009http://www.dodea.edu/Curriculum/Mathematics/upload/2009_stn_math_PreK_8.pdfGlencoe Math Curriculum Website, McGraw Hill Education, 2010, Self-Check Quiz, Grade 7, Chapter 12 http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-07-874046-0&chapter=12&lesson=5&headerFile=7International Society for Technology in Education, ISTE Standards for Students, https://www.iste.org/docs/pdfs/20-14_ISTE_Standards-S_PDF.pdfMath Worksheets for Kids, Cut-Out Nets of Solid Shapes, as retrieved on July 11, 2015, www.mathworksheets4kids.com/solid-shapes-html