options: Experiment with transformations in the plane.

Make geometric constructions.

Understand congruence in terms of rigid motions.

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

Apply trigonometry to general triangles.

Explain volume formulas and use them to solve problems.

Understand and apply theorems about circles.

Analyze, compare, create, and compose shapes.

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

Prove theorems involving similarity.

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

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

Define trigonometric ratios and solve problems involving right triangles.

Find arc lengths and areas of sectors of circles.

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

Understand and apply the Pythagorean Theorem.

Prove geometric theorems.

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

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

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

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

Reason with shapes and their attributes.

Use coordinates to prove simple geometric theorems algebraically.

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

Understand similarity in terms of similarity transformations.

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

Apply geometric concepts in modeling situations.
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: 3