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3-GM-2-7

Page history last edited by Tashe Harris 6 years, 2 months ago

3.GM.2.7 Count cubes systematically to identify number of cubes needed to pack the whole or half of a 3-D structure.

In a Nutshell

In third grade, students will begin to explore the idea of volume. Students will use their knowledge of three-dimensional shapes to fill a given shape with cubes. They will not be using a formula, but instead need to be able to count how many cubes it would take to fill a three-dimensional structure. They will be challenged further as they count the amount of cubes needed to pack half of the structure.

Student Actions	Teacher Actions
Develop strategies for problem solving by determining a way to find the volume of a 3D shape accurately. Make conjectures when determining how many cubes are needed to fill an object based on the shape and size. Demonstrate mathematical reasoning determining how many cubes are needed to fill half of the three-dimensional shape.	Pose purposeful questions to help students recall prior knowledge and justify their thinking. Questions may include: How do we know the whole shape is filled? What is the easiest way to count the cubes within the 3-D shape? When looking at two different shapes, what conclusions can we make based on their volume? Support productive struggle when challenging students to think of a variety of ways to solve for the volume, such as using cubes, multiplication, addition strategies, etc. Facilitate mathematical discourse as students compare strategies on finding the volume of a shape.
Key Understandings	Misconceptions
Volume refers to the amount of space inside a figure Volume can be found in different ways, such as using cubes to find the volume of a shape.	Units of perimeter, area, and volume are interchangeable Volume can be found using a formula. They don’t understand the concept of volume.