options: Prove geometric theorems.

Understand similarity in terms of similarity transformations.

Understand and apply theorems about circles.

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

Use coordinates to prove simple geometric theorems algebraically.

Define trigonometric ratios and solve problems involving right triangles.

Apply trigonometry to general triangles.

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

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

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

Find arc lengths and areas of sectors of circles.

Experiment with transformations in the plane.

Understand congruence in terms of rigid motions.

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

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

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

Explain volume formulas and use them to solve problems.

Reason with shapes and their attributes.

Make geometric constructions.

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

Graph points on the coordinate plane to solve real-world and mathematical problems.

Analyze, compare, create, and compose shapes.

Understand and apply the Pythagorean Theorem.

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

Apply geometric concepts in modeling situations.

Prove theorems involving similarity.

Understand congruence and similarity using physical models, transparencies, or geometry software.
problem_activity: Stage 5: Grade 5 Shapes
Required Preparation
Materials to Gather
Paper
Materials to Copy
Blackline Masters
Quadrilateral Cards Grade 5
Triangle Cards Grade 5

Narrative
Students lay six shape cards face up. One student picks two cards that have an attribute in common. All students write an attribute that is shared by both shapes. Students get a point if they name an attribute that no other student wrote.
Variation:
Students can draw a shape that has a shared attribute with the given shapes.


correct_option_index: 23