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

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

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.

Understand similarity in terms of similarity transformations.

Understand congruence in terms of rigid motions.

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

Use coordinates to prove simple geometric theorems algebraically.

Experiment with transformations in the plane.

Explain volume formulas and use them to solve problems.

Analyze, compare, create, and compose shapes.

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

Apply geometric concepts in modeling situations.

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

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

Apply trigonometry to general triangles.

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

Understand and apply theorems about circles.

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

Reason with shapes and their attributes.

Define trigonometric ratios and solve problems involving right triangles.

Prove geometric theorems.

Make geometric constructions.

Find arc lengths and areas of sectors of circles.

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

Prove theorems involving similarity.

Understand and apply the Pythagorean Theorem.
problem_activity: Narrative
The purpose of this activity is for students to match language to visual representations of rectangles and circles
partitioned and shaded in different ways.
Representation: Access for Perception.
Read each of the phrases aloud. Students who both listen to and read the information will benefit from extra processing time.
Supports accessibility for: Language, Conceptual Processing
Launch
Groups of 2
Activity
Read the task statement.
“You may use the phrases more than once.”
6 minutes: partner work time
Student Facing
Here are some ways to describe the shapes.
split into fourths
split into halves
split into quarters
a half shaded
a quarter shaded
a fourth shaded
two of the halves shaded
four of the fourths shaded
Label each shape with at least one phrase from the lists.
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Student Response
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Activity Synthesis
Display the circle with four of the fourths shaded.
“Let’s list all the ways we could describe this shape.” (It’s split into fourths. It is split into quarters. Four of the fourths are shaded.)
Repeat with other shapes as time permits.


correct_option_index: 19