 Mathematics Grade 7

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.2

Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

• A task related to standard 7.G.A.2
When students successfully complete this task, they will have shown that there is more than one triangle with a 30-degree angle adjacent to a side of length 4 units and opposite to a side of length 3 units. This task can be part of a more general study directed at "noticing when" "three measures of angles or sides" "determine a unique triangle, more than one triangle, or no triangle."
• AAS Triangle construction exploration
If you know two angles of a triangle and a side not between those two angles, will you create a unique triangle? This activity will help you to explore the answer to that question.
• ASA Exploration
If you know two angles of a triangle and a side between those two angles, will you create a unique triangle? This activity will help you to explore the answer to that question.
• 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.
The Annenberg interactive in this lesson gives the students a chance to manipulate linkage strips to form quadrilaterals. In the activity students are given side lengths and then must build different types of quadrilaterals. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Constructing Triangles
In this interactive students manipulate line segments on a grid to see if they can make a triangle. Students then work with straw segments to discover which side length combinations are able to make a triangle. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Formulas for a Circle
The 3 videos in this lesson teach students about the parts of a circle, how to label a circle, and define pi. Students must then test the theories presented in the videos in the classroom activity. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Formulas for Circle Area and Circumference: Simple as Pie
A video from Cyberchase shows Bianca undertaking the selling of pies. She has to understand the relationship between the diameter and the circumference of pie pans. In the classroom activity you will learn how to calculate the circumference of wheels. 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.
• 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.
• SAS Exploration
If you know two sides of a triangle and the angle between those two sides, will you create a unique triangle? This activity will help you to explore the answer to that question.
• SSA Exploration
If you know two sides of a triangle and an angle not between those two sides, will you create a unique triangle? This activity will help you to explore the answer to that question.
In this task, students need to figure out how to fit three different-sized photographs on a single sheet. 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.