Geometry

Unit Description:

In this unit, students explore both 2-D and 3-D concepts and apply them to real world settings. Students study the properties of pairs of angles and parallel lines as well as polygons and circles. In addition to calculating the areas and perimeters of polygons and circles, students explore the surface areas and volumes of rectangular prisms, cylinders, pyramids, and cones. Students will also learn to construct congruent lines and segments as well as bisectors.

Big Ideas:

• Volume is a measure of filling an object and surface area is a measure of wrapping an object.
• Three-dimensional figures may have the same volume but quite different surface areas.
• Changes in one or more dimensions of a rectangular prism or cylinder affect the prism’s volume and surface area.

Essential Questions:

• How do the properties and dimensions of geometric figures influence their uses?
• Why are products packaged in different ways?
• What package design is best for a particular product?
• How are two-dimensional figures used to solve problems involving three-dimensional figures?

Textbook - Glencoe Math Accelerated

• 11-1: Angle & Line Relationships*
• 11-2: Triangles & Triangle Inequality Theorem**
• 12-1: Circles & Circumference
• 12-2: Area of Circles
• 12-3: Area of Composite Figures***
• 12-4: 3-Dimensional Figures
• 12-5: Volume of Prisms
• 12-6: Volume of Cylinders
• 12-7: Volumes of Pyramids, Cones, and Spheres
• 12-8: Surface Area of Prisms
• 12-9: Surface Area of Cylinders
• 12-10: Surface Area of Pyramids & Cones

*Honors: Using multi-step equations to find angle measures

**Honors: Finding unknown angles using equations

***Honors: Surface area and volume of compound 3-D figures