options: Use coordinates to prove simple geometric theorems algebraically.

Prove theorems involving similarity.

Apply geometric concepts in modeling situations.

Analyze, compare, create, and compose shapes.

Apply trigonometry to general triangles.

Explain volume formulas and use them to solve problems.

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

Understand and apply theorems about circles.

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

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

Understand similarity in terms of similarity transformations.

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

Experiment with transformations in the plane.

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

Understand and apply the Pythagorean Theorem.

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

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

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

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

Define trigonometric ratios and solve problems involving right triangles.

Prove geometric theorems.

Reason with shapes and their attributes.

Understand congruence in terms of rigid motions.

Find arc lengths and areas of sectors of circles.

Make geometric constructions.

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

Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
problem_activity: Narrative
The purpose of this activity is for students to identify and name shapes in the environment. The shape walk can take place in the playground, library, or another area of the school. It may be easier for students to use their recording sheet if it is on a clipboard.
When students recognize mathematical features of objects in the real world, they model with mathematics (MP4).
Engagement: Develop Effort and Persistence.
Students may benefit from chunking this task into smaller parts. Invite students to look for one shape at a time. Check in with students to provide feedback and encouragement after recording each shape.
Supports accessibility for: Conceptual Processing
Required Materials
Materials to Gather
Clipboards
Launch
Groups of 2
“We are going to take a walk around the playground. Look for examples of triangles, rectangles, and circles around the playground. Tell your partner about the shapes you find and draw pictures or write words to record what you find.”
Activity
10 minutes: shape walk
“Write a number to show how many of each shape you found.”
2 minutes: independent work time
Student Facing
[IMG]
[IMG]
[IMG]
[IMG]
[IMG]
[IMG]
[IMG]
[IMG]
Synthesis:
[IMG]
Student Response
Teachers with a valid work email address can
click here to register or sign in
for free access to Student Response.
Activity Synthesis
Invite students to share their recording sheets and the shapes that they found.
Display the image or an example from the playground:
[IMG]
“Han found this swing on the playground. Where should he draw this on the recording sheet?” (The swing looks like a rectangle so he could draw it with the rectangles. The sides of the swing look like triangles.)


correct_option_index: 3

11