options: Make geometric constructions.

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

Explain volume formulas and use them to solve problems.

Experiment with transformations in the plane.

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

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

Use coordinates to prove simple geometric theorems algebraically.

Understand and apply the Pythagorean Theorem.

Apply trigonometry to general triangles.

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

Prove geometric theorems.

Understand congruence in terms of rigid motions.

Analyze, compare, create, and compose shapes.

Define trigonometric ratios and solve problems involving right triangles.

Prove theorems involving similarity.

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

Find arc lengths and areas of sectors of circles.

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

Apply geometric concepts in modeling situations.

Understand and apply theorems about circles.

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

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

Understand similarity in terms of similarity transformations.

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

Reason with shapes and their attributes.

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

Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
problem_activity: Narrative
This warm-up prompts students to carefully compare 4 shapes. The shapes are designed so that students may compare the color of the shapes as well as geometric attributes.
Launch
Groups of 2
Display the image.
“Pick one that doesn’t belong. Be ready to share why it doesn’t belong.”
Activity
30 seconds: quiet think time
30 seconds: partner discussion
Share and record responses.
Student Facing
Which one doesn’t belong?
A
[IMG]
B
[IMG]
C
[IMG]
D
[IMG]
Student Response
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Activity Synthesis
Display shapes A and B.
“What is alike, or the same, about these shapes?” (They both have three sides. They are both triangles. They are both red.)
“What is different about these shapes?” (One is colored in and one is not. One is smaller or skinnier.)


correct_option_index: 12