Secondary Mathematics II

Strand: GEOMETRY - Geometric Measurement and Dimension (G.GMD)

Explain volume formulas and use them to solve problems (Standards G.GMD.1, 3).
• Area of a circle
This purpose of this task is to develop an understanding of the formula for the area of the circle.
• Calculating Volumes of Compound Objects
This lesson unit is intended to help educators assess how well students solve problems involving measurement.
• Centerpiece
The purpose of this task is to use geometric and algebraic reasoning to model a real-life scenario.
• Circle Problems - Radius, Diameter, Circumference and Area
This lesson asks students to calculate problems involving the radius, diameter, circumference and area of circles.
• Cylinders and Prisms
Students will look at prisms and cylinders and measure their surface areas and volumes in this lesson.
• Doctor's Appointment
The purpose of the task is to analyze a plausible real-life scenario using a geometric model
• Module 7: Circles from a Geometric Perspective - Student Edition (Math 2)
The Mathematics Vision Project, Secondary Math Two Module 7, Circles: A Geometric Perspective, is composed of four learning cycles. In the first learning cycle, students use rotations and perpendicular bisectors to find the center of a circle. The second learning cycle in Module 7 builds on the circle relationships that students have learned so far in the module to develop a formula for the perimeter and area of a regular polygon. The third learning cycle addresses relationships among central angles, radii, arcs, and sectors. Students calculate arc length and the area of a sector. The final learning cycle in Module 7 is an intuitive approach to volume of prisms, pyramids, and cylinders.
• Module 7: Circles from a Geometric Perspective - Teacher Edition (Math 2)
The Mathematics Vision Project, Secondary Math Two Module 7, Circles: A Geometric Perspective, is composed of four learning cycles. In the first learning cycle, students use rotations and perpendicular bisectors to find the center of a circle. The second learning cycle in Module 7 builds on the circle relationships that students have learned so far in the module to develop a formula for the perimeter and area of a regular polygon. The third learning cycle addresses relationships among central angles, radii, arcs, and sectors. Students calculate arc length and the area of a sector. The final learning cycle in Module 7 is an intuitive approach to volume of prisms, pyramids, and cylinders.
In this task, the student must design a cylindrical drink can that uses the least aluminum for a given volume of drink
In this task, students must design a cylindrical drink can that uses the least aluminum for a given volume of drink.
In this task, students will find the volumes of different shaped drinking glasses.
In this task, students must work out how much you need to change the radius of a propane gas tank in order to double its capacity.
• The Great Egyptian Pyramids
The task is aligned to G-GMD.3 at each part involves either finding the volume of a pyramid or using the volume to find the base or height.
• Volume Estimation
This task has the dual purpose of having students apply geometric volume formulas, and to have them reason about modeling with geometric figures.
• Volume formulas for cylinders and prisms
The goal of this task is to establish formulas for volumes of right prisms and cylinders.
• Volume of a Special Pyramid
The goal of this task is to calculate the volume of a particular pyramid with square base, which is easily reasoned by viewing it as one sixth of a cube.

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.