options: Apply trigonometry to general triangles.

Reason with shapes and their attributes.

Understand congruence in terms of rigid motions.

Understand and apply the Pythagorean Theorem.

Explain volume formulas and use them to solve problems.

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

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

Find arc lengths and areas of sectors of circles.

Understand similarity in terms of similarity transformations.

Define trigonometric ratios and solve problems involving right triangles.

Apply geometric concepts in modeling situations.

Make geometric constructions.

Understand and apply theorems about circles.

Prove geometric theorems.

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

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

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

Analyze, compare, create, and compose shapes.

Use coordinates to prove simple geometric theorems algebraically.

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

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).

Prove theorems involving similarity.

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

Experiment with transformations in the plane.

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

Translate between the geometric description and the equation for a conic section.
problem_activity: Narrative
The purpose of this activity is for students to identify examples of circles and triangles. The geometric terms
circle
and
triangle
are formally introduced, though some students may already be familiar with the terms and may have heard or used them in previous lessons. This activity exposes students to a wider variety of circles and triangles than they may have seen previously, which encourages students to expand their concepts of the shapes. Students may incorrectly identify some shapes as triangles or circles, particularly distactors, such as a shape that looks like a triangle but has 4 sides. These shapes can be discussion points and are expected throughout kindergarten. Students distinguish between defining and non-defining attributes of shapes in grade 1.
MLR8 Discussion Supports.
To support the transfer of new vocabulary to long term memory, invite students to chorally repeat these words in unison 1–2 times: circles, triangles.
Advances: Listening, Speaking
Representation: Access for Perception.
Synthesis: Students might need extra support determining that the oval and the pizza slice shapes are not circles or triangles. Hold up a triangle and circle next to the shapes to visually show that the oval and pizza slice shapes do not match the triangle and circle.
Supports accessibility for: Visual-Spatial Processing
Required Materials
Materials to Gather
Colored pencils or crayons
Required Preparation
Each student needs at least 2 different colored crayons or colored pencils.
Launch
Groups of 2
Give each student access to 2 different color crayons or colored pencils.
Display the image from the book.
“Mai put her shapes into 2 groups. What do you notice? Why do you think Mai put these shapes together?”
30 seconds: quiet think time
Share responses.
“What can we name each group?”
30 seconds: quiet think time
30 seconds: partner discussion
Share responses.
“We can call this group
circles
. All of the shapes in this group are circles. We can call this group
triangles
because all of the shapes in this group are triangles.”
“What do you know about circles?”
30 seconds: quiet think time
30 seconds: partner discussion
Share and record responses.
“What do you know about triangles?”
30 seconds: quiet think time
30 seconds: partner discussion
Share and record responses.
Display student workbook.
“Color all of the circles that you find with 1 color. Then color all of the triangles that you find with another color.”
Activity
4 minutes: independent work time
“Choose 1 triangle that you colored in. Tell your partner 1 thing that you know about that shape.”
30 seconds: quiet think time
30 seconds: partner discussion
“Write a number to show how many triangles you colored. Write a number to show how many circles you colored.”
1 minute: independent work time
“Did you color more triangles or more circles? How do you know?”
30 seconds: quiet think time
30 seconds: partner discussion
Student Facing
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Student Response
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Activity Synthesis
Display shape from student book or draw shape:
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“Did you color this shape? Why or why not?” (I didn’t color the shape. It looks like a triangle but one of the sides is round.)
Display shape from student book or draw shape:
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“Did you color this shape? Why or why not?” (I didn’t color this shape. It looks like a circle but it is stretched out.)


correct_option_index: 17