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

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

Prove geometric theorems.

Use coordinates to prove simple geometric theorems algebraically.

Understand congruence in terms of rigid motions.

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

Understand similarity in terms of similarity transformations.

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

Find arc lengths and areas of sectors of circles.

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

Define trigonometric ratios and solve problems involving right triangles.

Understand and apply the Pythagorean Theorem.

Experiment with transformations in the plane.

Apply geometric concepts in modeling situations.

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

Reason with shapes and their attributes.

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

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

Apply trigonometry to general triangles.

Explain volume formulas and use them to solve problems.

Understand and apply theorems about circles.

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

Analyze, compare, create, and compose shapes.

Make geometric constructions.

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

Prove theorems involving similarity.

Solve real-world and mathematical problems involving area, surface area, and volume.
problem_activity: Narrative
The purpose of this warm-up is to elicit the idea that there are many shapes that are visible in wax prints, which will be useful when students design a wax print in a later activity.
Launch
Groups of 2
Display the image.
“What do you notice? What do you wonder?”
1 minute: quiet think time
Activity
“Discuss your thinking with your partner.”
1 minute: partner discussion
Monitor for a student who mentions how the shapes repeat in the patterns to share.
Share and record responses.
Student Facing
What do you notice? What do you wonder?
[IMG]
Student Response
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Activity Synthesis
“What types of shapes do we see in all the different patterns?” (I see squares on the woman’s shirt. I see triangles on the yellow fabric. I see circles in several of the patterns. I think I see rhombuses in the light green pattern at the bottom.)


correct_option_index: 15