options: Apply geometric concepts in modeling situations.

Understand congruence in terms of rigid motions.

Use coordinates to prove simple geometric theorems algebraically.

Find arc lengths and areas of sectors of circles.

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

Make geometric constructions.

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

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

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

Define trigonometric ratios and solve problems involving right triangles.

Understand and apply the Pythagorean Theorem.

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

Experiment with transformations in the plane.

Analyze, compare, create, and compose shapes.

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

Understand and apply theorems about circles.

Reason with shapes and their attributes.

Understand similarity in terms of similarity transformations.

Prove theorems involving similarity.

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

Apply trigonometry to general triangles.

Prove geometric theorems.

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

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

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

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

Explain volume formulas and use them to solve problems.
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: 16