Area and Volume with Angela Cellitti:
Use Minecraft to create and solve problems involving area and volume.
- Students will recognize volume as an attribute of three-dimensional space.
- Students will be able to write and interpret numerical expressions.
- Students will understand that volume can be measured by finding the total number of same-size units of volume required to fill the space without gaps or overlaps.
Kid friendly objectives:
- Students will understand, recognize, and construct 2- and 3-dimensional figures
- Students will calculate area and volume by counting unit cubes and by using the formulas (A: l*w, V: l*w*h)
- Students will apply area and volume to real world and mathematical problems
- Students will apply new learning of area and volume to an irregular shape
Guiding ideas for Area and Volume
Introduce the concept of area and volume. Explain to students that volume can be measured by finding the total number of same-size units of volume required to fill the space without gaps or overlaps.
- CCSS.MATH.CONTENT.3.MD.C.5Recognize area as an attribute of plane figures and understand concepts of area measurement.
- CCSS.MATH.CONTENT.3.MD.C.6Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).
- CCSS.MATH.CONTENT.3.MD.C.7Relate area to the operations of multiplication and addition.
- CCSS.MATH.CONTENT.4.MD.A.3Apply the area and perimeter formulas for rectangles in real world and mathematical problems.
- CCSS.MATH.CONTENT.5.MD.C.3Recognize volume as an attribute of solid figures and understand concepts of volume measurement
- CCSS.MATH.CONTENT.5.MD.C.4Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.
- CCSS.MATH.CONTENT.5.MD.C.5.AFind the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.
- CCSS.MATH.CONTENT.5.MD.C.5.BApply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real-world and mathematical problems.
- CCSS.MATH.CONTENT.5.MD.C.5.CRecognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real-world problems.
Student activities in Area and Volume
Use the mathematical formulas to solve each of the puzzles.
- By solving the puzzles and creating their own, students will: Demonstrate understanding of volume as an attribute of three-dimensional space.
- Be able to write and interpret numerical expressions.
- Understand that volume can be measured by finding the total number of same-size units of volume required to fill the space without gaps or overlaps.