Composing Shapes with Sticks and Clay
The teacher begins by showing the class how to create shapes using sticks and clay, modeling a triangle and a square. Students, excited to get hands-on, break into groups and start building their own 2D and 3D shapes. One group builds a triangle, describing its three sides and three corners, while another group works on a cube, noting its six faces.
After building, the students compare their shapes, discussing similarities and differences in the number of sides and vertices. They then take on the challenge of combining two triangles to make a square, learning how smaller shapes fit together to form larger structures. During the presentations, students proudly show off their creations, explaining how they analyzed the shapes and describing the attributes of each one.
Objective:
Students will analyze, compare, and create shapes using physical materials like sticks and clay. They will compare the attributes of 2D and 3D shapes, model shapes by building them from components, and compose simple shapes into larger ones.
Materials Needed:
Sticks (e.g., craft sticks or straws)
Clay or playdough for connecting sticks
Chart paper or whiteboard for recording shape descriptions
Markers for drawing shapes
Steps:
Introduction:
Begin by showing students different 2D and 3D shapes, such as triangles, squares, cubes, and cones.
Ask students to describe these shapes using informal language, focusing on attributes like the number of sides, vertices, or faces.
For example, “A triangle has three sides and three corners, and a cube has six faces.”
Then, ask, “How can we build these shapes using sticks and clay?”
Group Activity:
Divide students into small groups and provide them with sticks and clay.
Have them first build 2D shapes, like triangles and rectangles, by connecting the sticks with clay balls.
Encourage them to compare the shapes they build, describing similarities and differences in terms of the number of sides and corners.
Next, students will build 3D shapes, such as cubes and pyramids, using the same materials.
Building and Composing Shapes:
After students create individual shapes, challenge them to combine shapes to form larger ones.
For example, they can join two triangles to form a square, or they can compose shapes to build simple structures like a house or a bridge.
As they work, encourage them to describe the process of composing shapes and how the smaller shapes fit together.
Testing and Refining:
Once the students have completed their shapes, ask them to review their creations by counting the sides, vertices, and faces.
They can refine their models by adjusting the angles or reshaping the clay to ensure the shapes are correctly formed.
Presentation and Discussion:
Each group will present the shapes they built, explaining how they used sticks and clay to model the shapes and describing the attributes of each shape.
Lead a discussion on how smaller shapes can be combined to create larger, more complex shapes.
Equity and Access:
Provide pre-built examples of shapes for students who may need extra guidance in building them. Encourage peer collaboration so that all students can engage in the activity and build shapes together.
Real-World Application:
Relate the activity to real-world scenarios like construction, where workers use shapes to build structures, or art, where shapes are used in design. Emphasize how understanding shapes and their attributes helps in various fields, from architecture to product design.
CS Practice(s):
Developing and Using Abstractions: Students abstract real-world shapes into simple components like sticks and clay and compose them into more complex structures.
Standard(s):
CCSS.MATH.CONTENT.K.G.4
CA CS K-2.AP.13
Composing and Analyzing Shapes with Tech
Using a digital app with drag and drop and/or drawing features, the teacher introduces digital shapes like triangles, circles, and cubes. Students are tasked with dragging and arranging these shapes to create new ones, combining two triangles to form a square or arranging several shapes to create a house. One group experiments with rotating shapes to explore how their orientation doesn't change their properties.
As students work, they compare the attributes of the shapes, discussing how many sides and corners each has.
Afterward, they test and refine their digital creations, making sure the shapes align properly. Each group presents their completed designs, explaining how they combined smaller shapes to form larger ones and how the digital app helped them experiment with different configurations.
Objective:
Students will use a digital app with drag and drop and/or drawing features to analyze, compare, create, and compose 2D and 3D shapes. Through this activity, students will compare the attributes of shapes, build larger shapes from smaller ones, and model shapes by drawing and manipulating digital components.
Materials Needed:
Tablets or computers
Pre-drawn digital shapes (e.g., triangles, squares, circles, cubes)
Steps:
Introduction:
Begin by discussing the differences between 2D and 3D shapes.
Show students examples of shapes like triangles, circles, cubes, and spheres using a digital app.
Explain how shapes can be described by their sides, corners (vertices), or other attributes like size or orientation.
Ask, “How can we combine shapes to make bigger shapes?”
Group Activity:
In pairs, students will use a digital app to drag and drop and/or draw shapes onto the canvas.
They will compare the attributes of different shapes, such as the number of sides or vertices.
Encourage students to describe the shapes using informal language, like “the square has four equal sides” or “the cube has six faces.”
Next, they will use these shapes to create larger ones, such as joining two triangles to form a rectangle.
Creating and Composing Shapes:
After analyzing shapes, students will model shapes in the world by composing new ones using digital components.
For example, they can combine a circle and a rectangle to create a picture of a car or arrange multiple squares to form a larger rectangle.
Encourage them to experiment with different configurations.
Testing and Refining:
Students will review their composed shapes, ensuring they correctly formed larger shapes from smaller ones.
Allow time for them to refine their designs and make adjustments as needed.
Presentation and Discussion:
Each group will present their digital creation, describing how they combined smaller shapes into larger ones and explaining the attributes of the shapes they used.
Lead a discussion on how composing shapes from smaller components helps us understand geometry.
Equity and Access:
Provide templates in Jamboard with pre-arranged shapes for students who need additional support. Encourage collaboration, pairing students with different digital fluency to promote peer learning.
Real-World Application:
Discuss how composing shapes is useful in everyday activities, like designing buildings, creating art, or assembling toys. Emphasize how combining simple shapes into larger structures is an important skill in many professions, such as engineering or architecture.
CS Practice(s):
Creating Computational Artifacts: Students create digital shapes and larger compositions using.
Recognizing and Defining Computational Problems: Students analyze and compare shapes based on attributes like sides, vertices, and orientation.
Standard(s):
CCSS.MATH.CONTENT.K.G.4
CA CS K-2.AP.13