Lesson Plan
3D Shape Detectives Session 1 Lesson Plan
Students will learn to identify basic 3D shapes (cube, sphere, cylinder) and count their vertices and edges through guided exploration and practice.
Understanding 3D shapes and their properties builds spatial reasoning and meets grade-level geometry standards, laying groundwork for measurement and shape composition.
Audience
2nd Grade
Time
15 minutes
Approach
Hands-on discovery and detective-style practice
Prep
Prepare Materials
10 minutes
- Review the Session 1 Script to familiarize yourself with key questions and prompts
- Print or photocopy the Vertex-and-Edge Detective Worksheet, Session 1 Quick Quiz, and Session 1 Answer Key
- Cut apart the 3D Shape Sorting Activity Cards and place them in a container or envelope for easy distribution
- Gather physical models of a cube, sphere, and cylinder for demonstration
Step 1
Mission Briefing
2 minutes
- Welcome students and announce today’s detective mission: identify and count parts of 3D shapes
- Display a cube, sphere, and cylinder
- Ask: “What do you notice about the corners and edges of these shapes?” Refer to cues in the Session 1 Script
Step 2
Shape Sorting Detective Activity
4 minutes
- Distribute 3D Shape Sorting Activity Cards to pairs
- Instruct pairs to sort cards by shape name
- Encourage them to count and whisper the number of vertices and edges for each card
- Circulate and use scripted prompts to guide counting and correct misconceptions
Step 3
Detective Worksheet Practice
5 minutes
- Hand out the Vertex-and-Edge Detective Worksheet
- Students identify each illustrated 3D shape and record its number of vertices and edges
- Support students who need help counting, using physical models and script hints
- Monitor for correct counting strategies and give feedback
Step 4
Quick Quiz & Debrief
4 minutes
- Pass out the Session 1 Quick Quiz; students complete independently
- Collect quizzes and note common errors for next session
- Use the Session 1 Answer Key to review one or two sample problems aloud
- Ask students to share one thing they learned about vertices or edges today

Script
Session 1 Script
Mission Briefing (2 minutes)
Teacher (holding up a cube, a sphere, and a cylinder):
“Good morning, detectives! Today we have an exciting new mission. We’re going to explore 3-D shapes and become experts at finding their corners and edges. (Hold up the cube.) Let’s start with this shape. What do you think it’s called?”
Wait for responses.
Teacher:
“Great guesses! This is called a cube because all its faces are squares. Now, detectives, what do you notice about the corners of this cube? How many corners, or ‘vertices,’ can you see? Count them with me.”
Count aloud with students: “1, 2, 3…”
Teacher:
“That’s right—eight vertices! Vertices are where two or more edges meet. Now, let’s count the edges. Remember, edges are the straight lines where two faces meet.”
Count aloud: “1, 2, 3…”
Teacher:
“Good work—there are twelve edges on a cube. Let’s try the sphere next. (Hold up the sphere.) What do you notice about its corners or edges?”
Students notice there are none.
Teacher:
“Exactly! A sphere has no vertices and no edges. It’s perfectly round all over. Finally, here’s a cylinder. (Hold up the cylinder.) How many edges and vertices does a cylinder have?”
Guide responses toward: 2 edges, 0 vertices.
Teacher:
“Correct—two edges around the top and bottom, and no corners. Great detective work so far!”
Shape Sorting Detective Activity (4 minutes)
Teacher:
“Now I’m passing out the 3-D Shape Sorting Activity Cards. I want you to work with your partner to sort the cards into piles for cubes, spheres, and cylinders. Then quietly count and whisper to each other how many vertices and edges each card has.”
Distribute cards from 3D Shape Sorting Activity Cards.
Teacher (circulating):
“Show me how you’re counting those corners. One at a time—1, 2, 3… Do you have eight for that cube? Excellent! How many edges? Count with your finger along the line—1, 2, 3…”
If a pair is stuck:
Teacher:
“Remember, vertices are corners. Let’s count the points where two edges meet—point them out with your finger. Great, there’s one, two…”
Detective Worksheet Practice (5 minutes)
Teacher:
“Next up: your Vertex-and-Edge Detective Worksheet. (Hand out Vertex-and-Edge Detective Worksheet.) Look at the first shape on the worksheet. Write its name, then count and record the number of vertices and edges you see.”
Model the first item on the board:
“Here’s a drawing of a cube. It has eight vertices so I’ll write ‘8’ in the vertices column. It has twelve edges, so I’ll write ‘12’ in the edges column. Then you can do the rest.”
Circulate to support students:
Teacher:
“If you’re having trouble counting the edges, use your finger to trace one edge at a time. Show me your count—‘1, 2, 3….’ Perfect!”
Quick Quiz & Debrief (4 minutes)
Teacher:
“Time for our quick quiz! Please take one Session 1 Quick Quiz and work on your own to answer the questions. You have two minutes.”
Distribute and monitor.
Teacher (when time’s up):
“Please put your pencils down. Turn your quiz face-up on your desk. I’ll collect these and review your answers.”
Collect quizzes.
Teacher:
“Before we finish, who can share one thing they learned about vertices or edges today? Maybe you counted something interesting!”
Listen and affirm responses.
Teacher:
“Fantastic work, detectives! Next time, we’ll tackle more shapes and become even sharper at spotting corners and edges.”


Worksheet
Vertex and Edge Detective Worksheet
Detectives, examine each 3-D shape below. Write its name, then count and record how many vertices and how many edges each shape has.
1. Shape A
(Example: a cube)
[Draw or paste a picture of a cube here]
Name: ____________________________________
Vertices: ________
Edges: ________
2. Shape B
(Example: a sphere)
[Draw or paste a picture of a sphere here]
Name: ____________________________________
Vertices: ________
Edges: ________
3. Shape C
(Example: a cylinder)
[Draw or paste a picture of a cylinder here]
Name: ____________________________________
Vertices: ________
Edges: ________
4. Which shape has the most edges?
____________________________________
5. Which shape has no vertices or edges?
____________________________________
Great detective work! Be ready to explain how you counted your vertices and edges in our debrief.


Activity
3D Shape Sorting Activity Cards
Print and cut out the cards below. Each card shows one 3-D shape. Students work with a partner to sort the cards into three piles—Cubes, Spheres, and Cylinders—then quietly count and whisper the number of vertices and edges they see on each card.
Cube Cards (2 copies)
[Image of a cube—six square faces]
[Image of a cube—six square faces]
Sphere Cards (2 copies)
[Image of a sphere—smooth round shape]
[Image of a sphere—smooth round shape]
Cylinder Cards (2 copies)
[Image of a cylinder—two circular faces and one curved side]
[Image of a cylinder—two circular faces and one curved side]
Teacher Tip: After sorting, prompt detectives to whisper:
- “How many vertices (corners) does this shape have?”
- “How many edges (straight lines) does it have?”
Encourage students to trace corners and edges with their fingers as they count.


Quiz
Session 1 Quick Quiz

Answer Key
Session 1 Answer Key
This answer key covers the Vertex-and-Edge Detective Worksheet and the Session 1 Quick Quiz. For each item, you’ll find the correct answer plus a brief explanation of how to count vertices and edges.
A. Worksheet Answers
-
Shape A
• Name: Cube
• Vertices: 8- Reasoning: A cube has 8 corners where three square faces meet.
• Edges: 12 - Reasoning: A cube has 12 straight edges (4 around the top, 4 around the bottom, and 4 vertical).
- Reasoning: A cube has 8 corners where three square faces meet.
-
Shape B
• Name: Sphere
• Vertices: 0- Reasoning: A sphere is perfectly round—no corners where faces meet.
• Edges: 0 - Reasoning: A sphere has no straight lines or flat faces.
- Reasoning: A sphere is perfectly round—no corners where faces meet.
-
Shape C
• Name: Cylinder
• Vertices: 0- Reasoning: A cylinder has curved surfaces and circular faces—no sharp corners.
• Edges: 2 - Reasoning: A cylinder has two circular edges (one at the top circle, one at the bottom).
- Reasoning: A cylinder has curved surfaces and circular faces—no sharp corners.
-
Which shape has the most edges?
Cube- It has 12 edges (more than the cylinder’s 2 and the sphere’s 0).
-
Which shape has no vertices or edges?
Sphere- It’s fully round with neither corners nor straight lines.
B. Session 1 Quick Quiz Answers
-
How many vertices does this shape (cube) have?
Correct Choice: B. 8
Explanation: Count the corners of the cube: there are four on the top face and four on the bottom face, for a total of eight vertices. -
How many edges does this shape (cylinder) have?
Correct Choice: B. 2
Explanation: A cylinder has two circular edges—one around the top circle and one around the bottom circle.
Teacher Note: Use finger-tracing or dot-spotting strategies to support students who struggle to identify and count each vertex and edge. Encourage them to say “vertex” for each corner point and “edge” for each straight or circular line as they count.


Lesson Plan
Session 2 Lesson Plan
Students will identify cones and square pyramids and count their vertices and edges through paired detective activities and independent practice.
Building on basic shapes, learning cones and pyramids deepens spatial reasoning and meets 2nd-grade geometry standards, preparing students for complex solids.
Audience
2nd Grade
Time
15 minutes
Approach
Hands-on sorting and guided practice
Prep
Prepare Materials
10 minutes
- Review the Session 2 Script
- Print/photocopy the Cone-and-Pyramid Detective Worksheet, Session 2 Quick Quiz, and Session 2 Answer Key
- Cut apart the Cone & Pyramid Sorting Activity Cards
- Gather a physical cone model and a square pyramid model
Step 1
Mission Briefing
2 minutes
- Welcome detectives and display a cone and a square pyramid
- Ask: “What do you notice about their corners? Their edges?”
- Introduce the mission: identify each shape, then count its vertices and edges
Step 2
Shape Sorting Detective Activity
4 minutes
- Distribute Cone & Pyramid Sorting Activity Cards to pairs
- Instruct pairs to sort into ‘Cones’ and ‘Pyramids’ piles
- Whisper-count vertices and edges on each card
- Circulate and prompt: “How many points (vertices) do you see?”
Step 3
Detective Worksheet Practice
5 minutes
- Hand out the Cone-and-Pyramid Detective Worksheet
- Model first row on the board: name cone, count 1 vertex, 1 edge
- Students complete remaining rows independently
- Support finger-tracing for counting
Step 4
Quick Quiz & Debrief
4 minutes
- Pass out the Session 2 Quick Quiz
- Students work silently for two minutes
- Collect quizzes; use Session 2 Answer Key to review one question
- Ask: “Which shape surprised you with its corners or edges?”

Script
Session 2 Script
Mission Briefing (2 minutes)
Teacher (holding up a cone and a square pyramid):
“Good morning, detectives! Today we have a brand-new mission. We’re going to investigate two exciting 3-D shapes: a cone and a square pyramid. (Hold up the cone.) Detectives, what do you notice about this shape? What might we call its point and its curved side?”
Wait for responses.
Teacher:
“Exactly! This shape is called a cone. Now, detectives, let’s find its vertices, or corners. How many corners do you see? Count with me.”
Count aloud together: “1.”
Teacher:
“That’s right—one vertex! Now let’s count the edges, the lines where faces meet. How many edges does a cone have? Count with your finger.”
Count together: “1.”
Teacher:
“Perfect—a cone has one vertex and one edge. Now let’s look at this shape. (Hold up the square pyramid.) What do you notice? What do we call this shape?”
Wait for responses.
Teacher:
“It’s a square pyramid because its base is a square and it comes to a point at the top. Let’s count the vertices. Use your finger to point and count—‘1, 2, 3, 4’ around the base, and ‘5’ at the top.”
Count aloud together: “1, 2, 3, 4, 5.”
Teacher:
“Great! Five vertices. Now, how many edges? Remember—edges are straight lines where two faces meet.”
Count together: “1, 2, 3, 4” (base edges), “5, 6, 7, 8” (side edges).
Teacher:
“Excellent detective work—a square pyramid has five vertices and eight edges!”
Shape Sorting Detective Activity (4 minutes)
Teacher:
“Detectives, now I’m passing out the Cone & Pyramid Sorting Activity Cards. Work with your partner to sort them into two piles: cones and pyramids. Then whisper to each other how many vertices and edges each card shows.”
Distribute Cone & Pyramid Sorting Activity Cards.
Teacher (circulating):
“Show me how you’re counting those corners. One at a time—‘1, 2, 3, 4, 5’ on that pyramid? Great! Now trace the edges with your finger—‘1, 2….’ Perfect work.”
If pairs are stuck:
Teacher:
“Remember, vertices are points where faces meet, and edges are lines. Let’s count again, pointing to each corner.”
Detective Worksheet Practice (5 minutes)
Teacher:
“Next, detectives, take out your Cone-and-Pyramid Detective Worksheet. Look at the first row.”
Model the first item on the board:
“This is a cone—so I write ‘cone’ for the name. It has 1 vertex, so I’ll write ‘1’ in the vertices column. It has 1 edge, so I’ll write ‘1’ in the edges column.”
Teacher:
“Now it’s your turn! Complete the rest of the worksheet by naming each shape and counting its vertices and edges.”
Circulate to support students:
Teacher:
“If counting is tricky, trace each corner and edge with your finger. Show me your count—‘1, 2, 3….’ Fantastic!”
Quick Quiz & Debrief (4 minutes)
Teacher:
“Time for your quick quiz! Please take one Session 2 Quick Quiz and work quietly for two minutes.”
Distribute and monitor.
Teacher (when time is up):
“Pencils down. Turn your quiz face-up on your desk. I’ll collect these now.”
Collect quizzes.
Teacher:
“Before we finish, who can share which shape surprised you—maybe with more corners or edges than you expected?”
Listen and affirm responses.
Teacher:
“Outstanding detective work today! Next session, we’ll uncover even more shapes and keep sharpening our counting skills.”


Worksheet
Cone and Pyramid Detective Worksheet
Detectives, examine each 3-D shape below. Write its name, then count and record how many vertices and edges each shape has.
1. Shape A
(Example: a cone)
[Draw or paste a picture of a cone here]
Name: ____________________________________
Vertices: ________
Edges: ________
2. Shape B
(Example: a square pyramid)
[Draw or paste a picture of a square pyramid here]
Name: ____________________________________
Vertices: ________
Edges: ________
3. Which shape has only one vertex and one edge?
____________________________________
4. Which shape has more vertices?
____________________________________
5. Which shape has more edges?
____________________________________
Great detective work! Be ready to explain how you counted your vertices and edges in our debrief.


Quiz
Session 2 Quick Quiz

Answer Key
The Session 2 Answer Key has been added and includes full explanations for both the Cone-and-Pyramid Detective Worksheet and the Quick Quiz. Let me know if you’d like any edits or if you’re ready to move on to Session 3!


Lesson Plan
3D Shape Detectives Session 3 Lesson Plan
Students will identify rectangular and triangular prisms and accurately count their vertices and edges through detective-style activities.
Exploring prisms deepens spatial reasoning and meets 2nd-grade geometry standards, preparing students for understanding solid shapes and measurement concepts.
Audience
2nd Grade
Time
15 minutes
Approach
Hands-on sorting and guided practice
Prep
Prepare Materials
10 minutes
- Review the Session 3 Script
- Print or photocopy the Rectangular-and-Triangular-Prism Detective Worksheet, Session 3 Quick Quiz, and Session 3 Answer Key
- Cut apart the Prism Sorting Activity Cards
- Gather physical models of a rectangular prism and a triangular prism
Step 1
Mission Briefing
2 minutes
- Welcome detectives and display a rectangular prism and a triangular prism
- Ask: “What do you notice about their faces, vertices, and edges?”
- Introduce the mission: identify each prism and count its vertices and edges
Step 2
Shape Sorting Detective Activity
4 minutes
- Distribute Prism Sorting Activity Cards to pairs
- Instruct pairs to sort into “Rectangular Prisms” and “Triangular Prisms” piles
- Whisper-count vertices and edges on each card
- Circulate and prompt: “How many corners (vertices) do you see?”
Step 3
Detective Worksheet Practice
5 minutes
- Hand out the Rectangular-and-Triangular-Prism Detective Worksheet
- Model the first row on the board: name rectangular prism, count 8 vertices and 12 edges
- Students complete remaining rows independently
- Support finger-tracing for accurate counting
Step 4
Quick Quiz & Debrief
4 minutes
- Pass out the Session 3 Quick Quiz; students work silently for two minutes
- Collect quizzes; review one question aloud using the Session 3 Answer Key
- Ask: “Which prism surprised you with its number of vertices or edges?”

Script
Session 3 Script
Mission Briefing (2 minutes)
Teacher (holding up a rectangular prism and a triangular prism):
“Good morning, detectives! Today our mission is to investigate two more 3-D shapes: a rectangular prism and a triangular prism. (Hold up the rectangular prism.) Detectives, what do you notice about this shape—its faces, corners, or edges?”
Wait for responses.
Teacher:
“Yes—this is a rectangular prism because its faces are rectangles. Now let’s count its corners, or vertices. Use your finger to point and count with me.”
Count aloud together: “1, 2, 3, 4, 5, 6, 7, 8.”
Teacher:
“Correct—eight vertices total. Next, let’s count the edges, the straight lines where two faces meet.”
Count aloud together: “1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.”
Teacher:
“Excellent—there are twelve edges on a rectangular prism. Now, detectives, observe this shape. (Hold up the triangular prism.) What do you notice?”
Wait for responses.
Teacher:
“That’s right—a triangular prism has triangle faces on each end and rectangular faces around the sides. Let’s count its vertices.”
Count aloud together: “1, 2, 3” (front triangle), “4, 5, 6” (back triangle)—six total.
Teacher:
“Great work—six vertices. Finally, let’s count its edges.”
Count aloud together: “1, 2, 3” (front triangle edges), “4, 5, 6” (back triangle edges), “7, 8, 9” (connecting edges)—nine total.
Teacher:
“Perfect—a triangular prism has nine edges!”
Shape Sorting Detective Activity (4 minutes)
Teacher:
“Now I’m passing out the Prism Sorting Activity Cards. (Distribute Prism Sorting Activity Cards.) Work with your partner to sort the cards into two piles: Rectangular Prisms and Triangular Prisms. Then quietly whisper how many vertices and edges each card shows.”
Teacher (circulating):
“Show me your counting strategy. Are you tracing each corner one by one? Let me hear you whisper: ‘One… two…’ Great job!”
If pairs need help:
Teacher:
“Remember, vertices are corner points and edges are the lines. Let’s count the corners together again, pointing to each one.”
Detective Worksheet Practice (5 minutes)
Teacher:
“Detectives, please take out your Rectangular-and-Triangular-Prism Detective Worksheet. Let’s look at the first row together.”
Model the first item on the board:
“This is a rectangular prism. I’ll write ‘rectangular prism’ for the name. It has 8 vertices, so I’ll write ‘8.’ It has 12 edges, so I’ll write ‘12.’”
Teacher:
“Now it’s your turn—complete the rest of the worksheet by naming each shape and counting its vertices and edges.”
Teacher (circulating):
“If you get stuck, trace each corner and each edge with your finger. Show me your count: ‘1, 2, 3….’ Fantastic!”
Quick Quiz & Debrief (4 minutes)
Teacher:
“Time for our quick quiz! Please take one Session 3 Quick Quiz and work silently for two minutes.”
Distribute quizzes and monitor.
Teacher (when time is up):
“Pencils down. Turn your quiz face-up on your desk, and I will collect them now.”
Collect quizzes.
Teacher:
“Before we wrap up, who can share which prism surprised you the most with its number of corners or edges?”
Listen and affirm responses.
Teacher:
“Outstanding detective work today! Next time, we’ll explore even more shapes and keep honing our counting skills.”


Worksheet
Rectangular and Triangular Prism Detective Worksheet
Detectives, examine each 3-D shape below. Write its name, then count and record how many vertices and edges each shape has.
1. Shape A
(Example: a rectangular prism)
[Draw or paste a picture of a rectangular prism here]
Name: ____________________________________
Vertices: ________
Edges: ________
2. Shape B
(Example: a triangular prism)
[Draw or paste a picture of a triangular prism here]
Name: ____________________________________
Vertices: ________
Edges: ________
3. Which shape has more vertices?
____________________________________
4. Which shape has more edges?
____________________________________
5. Which shape has exactly six vertices?
____________________________________
Great detective work! Be ready to explain how you counted your vertices and edges in our debrief.


Activity
Prism Sorting Activity Cards
Print and cut out the cards below. Each card shows one 3-D prism. Students work with a partner to sort the cards into two piles—Rectangular Prisms and Triangular Prisms—then quietly count and whisper how many vertices and edges each card has.
Rectangular Prism Cards (2 copies)
– [Image of a rectangular prism—6 rectangular faces]
– [Image of a rectangular prism—6 rectangular faces]
Triangular Prism Cards (2 copies)
– [Image of a triangular prism—2 triangular faces and 3 rectangular faces]
– [Image of a triangular prism—2 triangular faces and 3 rectangular faces]
Teacher Tip: After sorting, prompt detectives to whisper:
- “How many corners (vertices) does this shape have?”
- “How many edges does it have?”
Encourage students to trace each corner and each edge with their finger as they count.


Quiz
Session 3 Quick Quiz

Answer Key
Session 3 Answer Key
This answer key includes solutions and explanations for the Rectangular-and-Triangular-Prism Detective Worksheet and the Session 3 Quick Quiz.
A. Worksheet Answers
-
Shape A
• Name: Rectangular Prism
• Vertices: 8- Reasoning: A rectangular prism has four corners on the front face and four on the back face, for a total of eight vertices.
• Edges: 12 - Reasoning: It has four edges around the front rectangle, four around the back rectangle, and four connecting the corresponding corners.
- Reasoning: A rectangular prism has four corners on the front face and four on the back face, for a total of eight vertices.
-
Shape B
• Name: Triangular Prism
• Vertices: 6- Reasoning: Each triangular end has three corners, and there are two ends, giving six vertices in all.
• Edges: 9 - Reasoning: There are three edges on the front triangle, three on the back triangle, and three connecting the matching vertices of front and back, for nine total.
- Reasoning: Each triangular end has three corners, and there are two ends, giving six vertices in all.
-
Which shape has more vertices?
Rectangular Prism- It has eight vertices (versus six on the triangular prism).
-
Which shape has more edges?
Rectangular Prism- It has twelve edges (versus nine on the triangular prism).
-
Which shape has exactly six vertices?
Triangular Prism- Each triangular prism has six corner points (three per triangle end).
B. Session 3 Quick Quiz Answers
-
How many vertices does this shape (rectangular prism) have?
B. 8- Explanation: Count four corners on the front face and four on the back face for a total of eight.
-
How many edges does this shape (triangular prism) have?
B. 9- Explanation: A triangular prism has three edges on each triangle end and three connecting edges, for 3+3+3=9 total.
Teacher Note:
Encourage students to trace each corner (“vertex”) and line (“edge”) with their finger as they count. Saying “one vertex,” “two vertices,” or “one edge,” “two edges,” aloud or quietly builds accuracy and confidence.


Lesson Plan
3D Shape Detectives Session 4 Lesson Plan
Students will identify and classify a variety of 3D shapes in mixed contexts and accurately count their vertices and edges through engaging detective challenges.
Mixed-shape review deepens retention and flexibility in recognizing 3D shapes, reinforcing spatial reasoning and preparing students for more advanced geometry.
Audience
2nd Grade
Time
15 minutes
Approach
Mixed-shape challenges and detective review
Prep
Prepare Materials
10 minutes
- Review the Session 4 Script
- Print or photocopy the Mixed-Shape Detective Worksheet, Session 4 Quick Quiz, and Session 4 Answer Key
- Cut apart the Mixed-Shape Challenge Cards
- Gather physical models of cubes, spheres, cylinders, cones, pyramids, and prisms
Step 1
Mission Briefing
2 minutes
- Welcome detectives and display a variety of shape models (cube, sphere, cylinder, cone, pyramid, prism)
- Ask: “Which shapes do you recognize? How many corners or edges does each have?”
- Explain today’s mission: identify and count parts for any shape that comes your way
Step 2
Mixed-Shape Sorting Detective Activity
4 minutes
- Distribute Mixed-Shape Challenge Cards to each pair
- Instruct pairs to sort cards into shape categories
- Whisper-count vertices and edges on each card
- Circulate and prompt: “Show me how you counted those corners”
Step 3
Detective Worksheet Practice
5 minutes
- Hand out the Mixed-Shape Detective Worksheet
- Students name each shape shown and record its vertices and edges
- Support finger-tracing strategies and correct misconceptions in real time
Step 4
Quick Quiz & Debrief
4 minutes
- Pass out the Session 4 Quick Quiz; students work silently for two minutes
- Collect quizzes and use the Session 4 Answer Key to review one question aloud
- Ask: “Which shape challenged you the most today, and why?”

Script
Session 4 Script
Mission Briefing (2 minutes)
Teacher (displaying models of cube, sphere, cylinder, cone, square pyramid, and rectangular prism):
“Good morning, detectives! Today’s mission is our biggest challenge yet—we’ll investigate any 3-D shape that comes our way! Here are some shape models: cube, sphere, cylinder, cone, square pyramid, and rectangular prism.
• Which shapes do you recognize?
• How many corners (vertices) or edges does each have?”
Pause for student responses and affirm each:
“Great observations—remember, vertices are corner points and edges are the lines where faces meet. Let’s stay sharp and count carefully today!”
Mixed-Shape Sorting Detective Activity (4 minutes)
Teacher:
“Now I’m passing out the Mixed-Shape Challenge Cards. Work with your partner to sort these cards into piles by shape name—cube, sphere, cylinder, cone, square pyramid, or rectangular prism. Then whisper to each other: how many vertices and edges does each card show?”
Distribute cards and circulate:
“Show me how you’re tracing each corner—‘one… two… three…’ Are there eight on that cube? Perfect! Now trace the edges with your finger—‘one, two…’ Keep it quiet and accurate.”
If pairs need support:
“Remember to point at each corner and say ‘vertex’ for each one. Then trace each line for ‘edge’—nice work!”
Detective Worksheet Practice (5 minutes)
Teacher:
“Time for our Mixed-Shape Detective Worksheet. Look at the first shape on your page—it’s a cylinder.”
Model on the board:
“Name: cylinder. Vertices: 0. Edges: 2. (Circle each answer on the board.)”
Teacher:
“Now complete the rest of your worksheet. Write the name of each shape, then count and record its vertices and edges.”
Circulate and support:
“Use your finger to trace each corner and each line. Whisper your count to your partner—‘zero vertices, two edges’—and write it down.”
Quick Quiz & Debrief (4 minutes)
Teacher:
“Detectives, grab a Session 4 Quick Quiz. You have two minutes to work silently.”
Distribute quizzes; monitor timing.
Teacher (when time’s up):
“Pencils down. Turn your quiz face-up on your desk. I’ll collect them now.”
Collect quizzes.
Teacher:
“Let’s review one question together using the Session 4 Answer Key. Who can remind us how many edges a triangular prism has?”
Listen and affirm responses.
Teacher:
“Fantastic detective work, everyone! Which shape challenged you the most today—and what trick did you use to count its corners or edges?”
Invite 2–3 students to share, then conclude:
“Well done! You’ve mastered mixed-shape counting. Next time, we’ll put your detective skills to an even bigger test!”


Worksheet
Mixed-Shape Detective Worksheet
Detectives, examine each 3-D shape below. Write its name, then count and record how many vertices and edges each shape has.
1. Shape A
(a cube)
[Draw or paste a picture of a cube here]
Name: ____________________________________
Vertices: ________
Edges: ________
2. Shape B
(a sphere)
[Draw or paste a picture of a sphere here]
Name: ____________________________________
Vertices: ________
Edges: ________
3. Shape C
(a cylinder)
[Draw or paste a picture of a cylinder here]
Name: ____________________________________
Vertices: ________
Edges: ________
4. Shape D
(a cone)
[Draw or paste a picture of a cone here]
Name: ____________________________________
Vertices: ________
Edges: ________
5. Shape E
(a square pyramid)
[Draw or paste a picture of a square pyramid here]
Name: ____________________________________
Vertices: ________
Edges: ________
6. Shape F
(a rectangular prism)
[Draw or paste a picture of a rectangular prism here]
Name: ____________________________________
Vertices: ________
Edges: ________
7. Shape G
(a triangular prism)
[Draw or paste a picture of a triangular prism here]
Name: ____________________________________
Vertices: ________
Edges: ________
8. Which shape has the most vertices?
____________________________________
9. Which shape has no vertices or edges?
____________________________________
Great detective work! Be ready to explain how you counted each shape’s vertices and edges in our debrief.


Activity
Mixed-Shape Challenge Cards
Print and cut out the cards below. Each card shows one 3-D shape. Students work with a partner to sort the cards into piles by shape name—cube, sphere, cylinder, cone, square pyramid, rectangular prism, or triangular prism—then quietly count and whisper how many vertices and edges each card has.
Cube Cards (2 copies)
– [Image of a cube—6 square faces]
– [Image of a cube—6 square faces]
Sphere Cards (2 copies)
– [Image of a sphere—smooth round shape]
– [Image of a sphere—smooth round shape]
Cylinder Cards (2 copies)
– [Image of a cylinder—two circular faces and one curved side]
– [Image of a cylinder—two circular faces and one curved side]
Cone Cards (2 copies)
– [Image of a cone—one circular base and a curved side]
– [Image of a cone—one circular base and a curved side]
Square Pyramid Cards (2 copies)
– [Image of a square pyramid—square base and four triangular sides]
– [Image of a square pyramid—square base and four triangular sides]
Rectangular Prism Cards (2 copies)
– [Image of a rectangular prism—6 rectangular faces]
– [Image of a rectangular prism—6 rectangular faces]
Triangular Prism Cards (2 copies)
– [Image of a triangular prism—2 triangular ends and 3 rectangular faces]
– [Image of a triangular prism—2 triangular ends and 3 rectangular faces]
Teacher Tip: After sorting, prompt detectives to whisper:
- “How many corners (vertices) does this shape have?”
- “How many edges does it have?”
Encourage students to trace each vertex and each edge with their finger as they count.


Quiz
Session 4 Quick Quiz

Answer Key
Session 4 Answer Key
This answer key includes explanations for the Mixed-Shape Detective Worksheet and the Session 4 Quick Quiz.
A. Worksheet Answers
-
Shape A
• Name: Cube
• Vertices: 8- Reasoning: A cube has 4 corners on the top face and 4 on the bottom face.
• Edges: 12 - Reasoning: There are 4 edges on the top face, 4 on the bottom face, and 4 vertical edges.
- Reasoning: A cube has 4 corners on the top face and 4 on the bottom face.
-
Shape B
• Name: Sphere
• Vertices: 0- Reasoning: A sphere is perfectly round with no corners.
• Edges: 0 - Reasoning: It has no straight lines or edges.
- Reasoning: A sphere is perfectly round with no corners.
-
Shape C
• Name: Cylinder
• Vertices: 0- Reasoning: A cylinder has circular faces but no corner points.
• Edges: 2 - Reasoning: One circular edge at the top and one at the bottom.
- Reasoning: A cylinder has circular faces but no corner points.
-
Shape D
• Name: Cone
• Vertices: 1- Reasoning: The tip of the cone is its single vertex.
• Edges: 1 - Reasoning: There is one circular edge where the base meets the side.
- Reasoning: The tip of the cone is its single vertex.
-
Shape E
• Name: Square Pyramid
• Vertices: 5- Reasoning: Four corners on the square base plus one apex.
• Edges: 8 - Reasoning: Four edges around the base and four slanted edges up to the apex.
- Reasoning: Four corners on the square base plus one apex.
-
Shape F
• Name: Rectangular Prism
• Vertices: 8- Reasoning: Four corners on the front face and four on the back face.
• Edges: 12 - Reasoning: Four edges on each rectangular face (front/back) and four connecting edges.
- Reasoning: Four corners on the front face and four on the back face.
-
Shape G
• Name: Triangular Prism
• Vertices: 6- Reasoning: Three corners on each triangular end, for six total.
• Edges: 9 - Reasoning: Three edges on each triangle end plus three connecting edges.
- Reasoning: Three corners on each triangular end, for six total.
-
Which shape has the most vertices?
Cube and Rectangular Prism (tie at 8 vertices)- Both shapes have eight corner points, the highest among the seven.
-
Which shape has no vertices or edges?
Sphere- A sphere is completely round with neither corners nor straight lines.
B. Session 4 Quick Quiz Answers
-
How many vertices does this shape (square pyramid) have?
B. 5- Explanation: Count the four base corners and the single apex.
-
How many edges does this shape (rectangular prism) have?
B. 12- Explanation: There are four edges on the front, four on the back, and four connecting the two faces.
Teacher Note:
Encourage students to use finger-tracing and to say “vertex” or “edge” for each point or line they count. This habit builds accuracy and confidence in their geometry skills.


Lesson Plan
3D Shape Detectives Session 5 Lesson Plan
Students will apply their 3-D–shape detective skills in a collaborative game, identifying shapes and accurately counting their vertices and edges.
A culminating game review reinforces mastery, builds teamwork, and celebrates students’ geometry achievements, solidifying skills for future math learning.
Audience
2nd Grade
Time
15 minutes
Approach
Game-based collaborative review
Prep
Prepare Materials
10 minutes
- Review the Session 5 Script
- Print or photocopy the Shape Detective Game Board Worksheet, Session 5 Quick Quiz, and Session 5 Answer Key
- Cut apart the 3D Shape Detective Game Cards
- Arrange desks into small team circles for gameplay
Step 1
Mission Briefing
2 minutes
- Welcome detectives to the grand finale game
- Review the seven shapes: cube, sphere, cylinder, cone, square pyramid, rectangular prism, triangular prism
- Explain: Teams will draw a card, name the shape, count its vertices and edges, then advance on the game board
Step 2
Shape Detective Game
8 minutes
- Split students into 3–4 teams
- On their turn, each team draws a 3D Shape Detective Game Card
- A team member names the shape and counts vertices and edges aloud
- If all parts are correct, the team moves one space on the Shape Detective Game Board Worksheet
- Continue until one team reaches the finish line
Step 3
Reflection Discussion
3 minutes
- Gather students and ask:
- Which shape was most challenging and why?
- What counting strategy helped you the most?
- How will you remember these strategies moving forward?
Step 4
Quick Quiz & Celebration
2 minutes
- Distribute the Session 5 Quick Quiz
- Students complete independently to demonstrate individual mastery
- Collect quizzes and announce the winning team
- Celebrate all detectives’ success and growth!

Script
Session 5 Script
Mission Briefing (2 minutes)
Teacher (standing at front with game board visible):
“Good morning, detectives! Welcome to our grand finale. Today we’re playing the ultimate 3-D Shape Detective Game. Here’s our game board (point). You see seven shapes we’ve learned—cube, sphere, cylinder, cone, square pyramid, rectangular prism, and triangular prism.
• On your turn, your team will draw a game card.
• You’ll name the shape and count its vertices and edges aloud.
• If you’re correct, you advance one space.
The first team to reach the finish line wins!”
Shape Detective Game (8 minutes)
Teacher:
“Let’s split into teams. I’ll call team names now.”
Students form teams.
Teacher:
“Team A, you go first! Draw a card from the stack.”
Team A draws a card—e.g., shows a cylinder.
Teacher (to Team A):
“What shape is this? How many vertices? How many edges?”
Team A responds: “Cylinder—0 vertices, 2 edges.”
Teacher:
“Exactly! Move one space.”
Teacher walks to game board and advances Team A’s marker.
Teacher:
“Great work! Team B, your turn—draw a card.”
Continue guiding turns, praising correct answers, and gently correcting mistakes:
“Remember to trace each corner with your finger and say ‘vertex’ or ‘edge’ as you count.”
Play continues until a team reaches the finish line.
Reflection Discussion (3 minutes)
Teacher:
“Detectives, gather around. You played amazingly! Let’s reflect.
• Which shape was the most challenging, and why?
• What counting strategy helped you the most?
• How will you remember to count vertices and edges in the future?”
Pause after each question to let 2–3 students share.
Teacher:
“I love hearing your strategies—finger tracing, whisper‒counting, and naming each part out loud really helped you succeed!”
Quick Quiz & Celebration (2 minutes)
Teacher:
“Now a final quick quiz for your independent detective report. Take one Session 5 Quick Quiz and work quietly for one minute.”
Distribute quizzes.
Teacher (after one minute):
“Pencils down. Please face up your quiz. I’ll collect these shortly.”
Collect quizzes.
Teacher:
“Before we wrap up—congratulations to our winning team, and high-five to every detective for your hard work! You’ve mastered naming shapes and counting vertices and edges. Keep using these detective skills in all your math adventures!”


Activity
3D Shape Detective Game Cards
Print and cut out the cards below. Each card shows one 3-D shape. During the game, teams draw a card, name the shape, and count its vertices and edges aloud.
Cube Cards (2 copies)
– [Image of a cube—6 square faces]
– [Image of a cube—6 square faces]
Sphere Cards (2 copies)
– [Image of a sphere—smooth round shape]
– [Image of a sphere—smooth round shape]
Cylinder Cards (2 copies)
– [Image of a cylinder—two circular faces and one curved side]
– [Image of a cylinder—two circular faces and one curved side]
Cone Cards (2 copies)
– [Image of a cone—one circular base and a curved side]
– [Image of a cone—one circular base and a curved side]
Square Pyramid Cards (2 copies)
– [Image of a square pyramid—square base and four triangular sides]
– [Image of a square pyramid—square base and four triangular sides]
Rectangular Prism Cards (2 copies)
– [Image of a rectangular prism—6 rectangular faces]
– [Image of a rectangular prism—6 rectangular faces]
Triangular Prism Cards (2 copies)
– [Image of a triangular prism—2 triangular ends and three rectangular faces]
– [Image of a triangular prism—2 triangular ends and three rectangular faces]


Worksheet
Shape Detective Game Board Worksheet
Team Name: ____________________________
Use the boxes below to mark your progress. Each time your team answers correctly, put an X in the next box.
Start | Cube | Sphere | Cylinder | Cone | Square Pyramid | Rectangular Prism | Triangular Prism | Finish |
---|---|---|---|---|---|---|---|---|
☐ | ☐ | ☐ | ☐ | ☐ | ☐ | ☐ | ☐ | ☐ |
Great detective work! Keep going until you reach the finish line.


Quiz
Session 5 Quick Quiz

Answer Key
It looks like you want to update the Session 5 Answer Key. Could you please share the clean markdown content you’d like me to apply under that ID? Once you provide the full markdown, I’ll update it right away!

