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.6

Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

• 2D Nets and 3D Decorative Boxes
  Calculating the surface area of cardboard boxes is the focus of this interactive activity. The classroom activity takes this knowledge and asks the students for figure out how many square inches of wrapping paper is needed to wrap a gift. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Angles
  Students are introduced to all kinds of angles in this lesson plan, including acute, obtuse, right, vertical, adjacent, and corresponding among others.
• Applying Angle Theorems
  This lesson unit is intended to help educators assess how well students are able to use geometric properties to solve problems.
• Area
  This lesson is designed to help students be able to calculate the area of a random shape on a grid, explain the correlation between the size of the perimeter and the number of different possible areas that can be contained within that perimeter.
• Area Explorations
  In this lesson, students will explore the area of irregular shapes to find multiple different methods for calculating area
• Boxed In and Wrapped Up
  This lesson asks students to find the volume and surface area of a rectangular box and then convert it into a cubical box with the same volume.
• 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.
• Chris McCloud's Lesson: Expert Analysis
  This Teaching Channel video highlights and critiques the techniques used in a lesson on cylinders. (14 min.)
• Estimating: Counting Trees
  This lesson unit is intended to help educators assess how well students are able to solve simple problems involving ratio and direct proportion, choose an appropriate sampling method, and collect discrete data and record them using a frequency table.
• Estimations and Approximations: The Money Munchers
  This lesson unit is intended to help educators assess how well students are able to model a situation, make sensible, realistic assumptions and estimates, and use assumptions and estimates to create a chain of reasoning, in order to solve a practical problem.
• Fences - student task
  This task has students design a fence that meets the city ordinances and the client's specifications.
• Grade 7 Math Module 3: Expressions and Equations (EngageNY)
  This module consolidates and expands upon students understanding of equivalent expressions as they apply the properties of operations to write expressions in both standard form and in factored form. They use linear equations to solve unknown angle problems and other problems presented within context to understand that solving algebraic equations is all about the numbers. Students use the number line to understand the properties of inequality and recognize when to preserve the inequality and when to reverse the inequality when solving problems leading to inequalities. They interpret solutions within the context of problems. Students extend their sixth-grade study of geometric figures and the relationships between them as they apply their work with expressions and equations to solve problems involving area of a circle and composite area in the plane, as well as volume and surface area of right prisms.
• 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.
• Great Modeling Tasks in Three Acts - File Cabinet
  This surface area activity has students answer the question: How many stickies cover the cabinet?
• 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.
• Measuring Henry's cabin
  In this lesson and activity students will determine the surface area and volume of a house and also reconstruct it on a smaller scale.
• Mr. McCloud: Discovering Surface Area of a Cylinder
  This Teaching Channel video and lesson plan will help students discover and apply the formula for the surface area of a cylinder. (27 minutes)
• Student Task: Roman Mosaic
  In this task, students have to decide how you would describe the design of a mosaic pattern over the telephone.
• Student Task: Circle Pattern
  In this task, the student will look at a pattern of black and white circles and describe, mathematically, what is happening to the areas of black and white as the pattern develops.
• Student Task: Historic Bicycle
  In this task, students will figure out some problems about a strange old bicycle.
• Student Task: Octagon Tile
  In this task, students will explore the geometry of a pattern made by arranging squares within an octagon.
• Surface Area of a Rectangular Prisms
  This lesson will help students understand surface area and solve problems using the surface area of a rectangular prism.
• Surface Area of Prisms
  In this lesson students will understand surface area and how solve for the surface area of triangular prisms.
• The Largest Container: Problems Using Volume and Shape
  By using a single sheet of paper this interactive leads students to construct shapes, calculate volume, and think about the relationships between different 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.
• Volume of Prisms
  This is a lesson designed to help students understand how to solve problems for the volume of triangular prisms.
• Volume of Rectangular Prisms
  This lesson is designed to help students understand how to solve for the volume of rectangular prisms.

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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.