options: Apply trigonometry to general triangles.

Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.

Understand congruence and similarity using physical models, transparencies, or geometry software.

Analyze, compare, create, and compose shapes.

Understand similarity in terms of similarity transformations.

Define trigonometric ratios and solve problems involving right triangles.

Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

Translate between the geometric description and the equation for a conic section.

Classify two-dimensional figures into categories based on their properties.

Use coordinates to prove simple geometric theorems algebraically.

Experiment with transformations in the plane.

Understand and apply theorems about circles.

Find arc lengths and areas of sectors of circles.

Make geometric constructions.

Prove geometric theorems.

Draw, construct, and describe geometrical figures and describe the relationships between them.

Understand and apply the Pythagorean Theorem.

Explain volume formulas and use them to solve problems.

Prove theorems involving similarity.

Understand congruence in terms of rigid motions.

Apply geometric concepts in modeling situations.

Solve real-world and mathematical problems involving area, surface area, and volume.

Visualize relationships between two-dimensional and three-dimensional objects.

Reason with shapes and their attributes.

Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).

Graph points on the coordinate plane to solve real-world and mathematical problems.
problem_activity: Task
As a whole group, students will sort a collection of three-dimensional objects into categories by shape. There should be several that fall into each of the categories below:
sphere
cone
pyramid
cube
cylinder
rectangular prism
As a class, students brainstorm attributes of the objects they have classified, and the teacher writes those attributes where the entire class can see them. Students then use one of the following sentence frames as they classify the objects. The sentence frames should be written on sentence strips or some other large paper so that the entire class can read/see them during the activity.)
The ___________ is in the shape of a __________ . It is/has __________ , just like all ____________.
The ___________ is in the shape of a __________ . It is/has ___________ , but some ___________ aren't/don't.
The teacher models with one or two objects to start. An example would be:
"The can is in the shape of a cylinder. It has circles on the ends, just like all cylinders."
"The can is a in the shape of a cylinder. It is made of metal, but some cylinders aren't."
This will help students distinguish between defining attributes and non-defining attributes.
Once students are familiar with this task they can be given a set of cards and can work in pairs to classify by defining attribute using the (now familiar) sentence frames.


correct_option_index: 23