Grade 2 - Composing and Decomposing Shapes Unit
The Composing and Decomposing Shapes Unit use properties of geometric figures to take them apart and put them together in order to answer questions such as:
- How many different ways can you put pattern blocks together to form a hexagon? How can you prove each shape you have created is a hexagon?
- How many different ways can you put unit cubes together to form a rectangular prism?
- How can you cut a square into four identical triangles? How can you prove each of the figures is a triangle? How can you prove they are identical? If your square is ONE WHOLE, what is the fraction name of each of your identical triangles? How do you know?
- How can you cut a rectangular prism into two identical rectangular prisms? If your original rectangular prism is ONE WHOLE, what is the fraction name of each of your identical rectangular prisms? How do you know?
Math Concepts and Skills:
The student analyzes characteristics of two-dimensional shapes and three-dimensional solids to develop generalizations about their properties.
The student:
- composes two-dimensional shapes and three-dimensional solids with specific characteristics.
- decomposes two-dimensional shapes and three-dimensional solids and identifies the resulting shapes according to their geometric properties.
Summative Assessment Task
Given a bowl of 32 square shapes, students determine how Derek can make two different squares using the squares in his bowl.
Instructional Tasks/Formative Assessments
Students determine ways to create new shapes from tangram shapes.
Students determine how many raisins will fit in a grid of nine one-inch squares.
Students determine whether or not a rectangular pan of Jello that is a not a square, can be cut into four identical triangles.
Students determine 2 ways to make a hexagon using pattern blocks other than the yellow pattern block.