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

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.

Apply geometric concepts in modeling situations.

Understand and apply theorems about circles.

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

Analyze, compare, create, and compose shapes.

Understand congruence in terms of rigid motions.

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

Use coordinates to prove simple geometric theorems algebraically.

Reason with shapes and their attributes.

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

Understand similarity in terms of similarity transformations.

Prove geometric theorems.

Find arc lengths and areas of sectors of circles.

Explain volume formulas and use them to solve problems.

Experiment with transformations in the plane.

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

Prove theorems involving similarity.

Understand and apply the Pythagorean Theorem.

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

Make geometric constructions.

Apply trigonometry to general triangles.

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

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

Define trigonometric ratios and solve problems involving right triangles.

Understand congruence and similarity using physical models, transparencies, or geometry software.
problem_activity: Narrative
The purpose of this activity is for students to identify shapes as flat and solid as they sort shapes into groups. A sorting task gives students opportunities to analyze the structure of the shapes and identify common properties and characteristics (MP7).
If the sorting mat provided in the student workbook is too small for students to sort the shapes, consider giving students two pieces of construction paper, or ask students to put the solid shapes on one side of the table and the flat shapes on the other side.
MLR8 Discussion Supports.
Invite each partner to identify each shape aloud: Flat shape or solid shape. Encourage students to challenge each other when they disagree.
Advances: Conversing
Action and Expression: Internalize Executive Functions.
Invite students to plan a strategy for how they will sort the shapes.
Supports accessibility for: Conceptual Processing, Organization
Required Materials
Materials to Gather
Geoblocks
Solid shapes
Materials to Copy
Flat Shapes Cards K
Required Preparation
Each group of 2 needs a set of solid shapes and a set of cards.
Launch
Groups of 2
Give each group of students a set of solid shapes and a set of flat shapes cards.
Activity
“Work with your partner to sort the shapes into two groups. Write a number to show how many shapes are in each group.”
3 minutes: partner work time
“Pair up with another group. Show them how you sorted your shapes. Did you sort all of the shapes in the same way?”
3 minutes: small-group work time
“What could you call each group of shapes to show why you put those shapes together?”
Monitor for a group that sorts by flat shapes and solid shapes.
Student Facing
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Student Response
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Advancing Student Thinking
If students identify a pyramid as flat because “it looks like a triangle,” consider asking:
“What is the same about all of the shapes in this group?”
Display a pyramid and a triangle next to each other and ask “What do you notice about these shapes? What is different about them?”
Activity Synthesis
Invite previously selected students to share the way they sorted the shapes into flat shapes and solid shapes.
“This group has flat shapes. This group has solid shapes.”
Display a square.
“Should this shape go with the flat shapes or the solid shapes? Why?” (It is a flat shape. If we put it on our desk, it doesn’t stick up.)
Display a cube.
“Should this shape go with the flat shapes or the solid shapes? Why?” (It is a solid shape. It sticks up and takes up space.)


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