Mathematics Grade 7
Educational Links

Strand: GEOMETRY (7.G)

Draw, construct, and describe geometrical figures, and describe the relationships between them (Standards 7.G.1-3). Solve real-life and mathematical problems involving angle measure, area, surface area, and volume (Standards 7.G.4-6).

Standard 7.G.3

Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.

• Chapter 5 - Mathematical Foundation (UMSMP)
  This is Chapter 5 of the Utah Middle School Math: Grade 7 textbook. It provides a Mathematical Foundation for Geometry I - Scale Drawings, Geometric Figures.
• Chapter 5 - Student Workbook (UMSMP)
  This is Chapter 5 of the Utah Middle School Math: Grade 7 student workbook. It focuses on these topics: Geometry I - Scale Drawings and Geometric Figures.
• Chapter 8 - Mathematical Foundation (UMSMP)
  This is Chapter 8 of the Utah Middle School Math Grade 7 textbook. It provides a Mathematical Foundation for Measurement in 2-3 Dimensions and Cross-Sections of Solids.
• Chapter 8 - Student Workbook (UMSMP)
  This is Chapter 8 of the Utah Middle School Math Grade 7 student workbook. It focuses on Measurement in 2-3 Dimensions and Cross-Sections of Solids.
• Comparing Volumes of Cylinders, Spheres, and Cones
  This interactive explains how to calculate the volumes of cylinders, cones and spheres. Students then apply this understanding to an activity where cylinders, cones and spheres are filled with water so that their volumes can be compared. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Cross Sections of a Cube
  In this interactive cubes are sliced in different ways in order to explore cross sections. Students then create cubes out of play dough and slice them with dental floss to create cross-sections of specific shapes. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Cube Ninjas!
  The purpose of this task is to have students explore various cross sections of a cube and use precise language to describe the shape of the resulting faces.
• Escaramuza: 2D Drawing
  The real-life equestrian event known as Escaramuza is used to help student make 2D drawings to make triangles. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Escaramuza: Coordinates, Reflection, Rotation
  A real-life equestrian event known as Escaramuza is used to demonstrate how to draw a two-dimensional diagram and then represent it on a coordinate plane. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Geometry (7.G) - 7th Grade Core Guide
  The Utah State Board of Education (USBE) and educators around the state of Utah developed these guides for Mathematics Grade 7 - Geometry.
• Grade 7 Math Module 6: Geometry (EngageNY)
  In Module 6, students delve further into several geometry topics they have been developing over the years. Grade 7 presents some of these topics, (e.g., angles, area, surface area, and volume) in the most challenging form students have experienced yet. Module 6 assumes students understand the basics. The goal is to build a fluency in these difficult problems. The remaining topics, (i.e., working on constructing triangles and taking slices (or cross-sections) of three-dimensional figures) are new to students.
• Grade 7 Unit 4: Geometry (Georgia Standards)
  The units in this instructional framework emphasize key standards that assist students to develop a deeper understanding of numbers. In this unit they will be engaged in using what they have previously learned about drawing geometric figures using rulers and protractor with an emphasis on triangles, students will also write and solve equations involving angle relationships, area, volume, and surface area of fundamental solid figures.
• Holes
  After watching a clip of the movie Holes from Walt Disney Pictures students will answer a series of questions, such as "If Stanley and X-Ray both dig one hole per day for a year, how much extra dirt will Stanley have dug than X-Ray?" and "How many times could that extra dirt fill one of the holes X-Ray digs?"
• Maximizing Area: Gold Rush
  This lesson unit is intended to help educators assess how well students are able to interpret a situation and represent the variables mathematically, select appropriate mathematical methods to use, explore the effects on the area of a rectangle of systematically varying the dimensions whilst keeping the perimeter constant, as well as interpret and evaluate the data generated and identify the optimum case.
• Slicing Three Dimensional Figures
  In this video students are shown how 2 dimensional figures are created by slicing 3 dimensional ones. Play dough is used in the classroom activity with students slicing figures and then describing the shape that results. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Student Task: Photographs
  In this task, students need to figure out how to fit three different-sized photographs on a single sheet.
• Student Task: Triangular Frameworks
  In this task students determine how many different triangles can be made that follow a set of rules.
• Three-Dimensional Printing
  Via this video students will obtain an understanding of how 3-D printing works and is used in manufacturing. These printers use the basic shape of the triangle to build complex polygon shapes. Students will then create two-dimensional drawings to represent 3-D figures. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Using Dimensions: Designing a Sports Bag
  This lesson unit is intended to help educators assess how well students are able to recognize and use common 2D representations of 3D objects, as well as identify and use the appropriate formula for finding the circumference of a circle.

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http://www.uen.org - in partnership with Utah State Board of Education (USBE) and Utah System of Higher Education (USHE).  Send questions or comments to USBE Specialist - Lindsey  Henderson and see the Mathematics - Secondary website. For general questions about Utah's Core Standards contact the Director - Jennifer  Throndsen.

These materials have been produced by and for the teachers of the State of Utah. Copies of these materials may be freely reproduced for teacher and classroom use. When distributing these materials, credit should be given to Utah State Board of Education. These materials may not be published, in whole or part, or in any other format, without the written permission of the Utah State Board of Education, 250 East 500 South, PO Box 144200, Salt Lake City, Utah 84114-4200.