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).

Standard G.GMD.3

Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. Informal arguments for volume formulas can make use of the way in which volume scale under similarity transformations: when one figure results from another by applying a similarity transformation, volumes of solid figures scale by k3 under a similarity transformation with scale factor k.

• 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.
• 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.