Discovering Volume
TEACHERS: Jamy Myrmel / SUBJECT: MathSTANDARD:
- 5.MD.3a-b
- 5.MD.4
- 5.MD.5a-b
OBJECTIVE (EXPLICIT):
- Find the volume of a rectangle solid
EVIDENCE OF MASTERY (MEASURABLE): TSWBAT use the volume formula to solve for the volume of a rectangular solid
SUB-OBJECTIVES, SWBAT (SEQUENCED FROM BASIC TO COMPLEX):
KEY VOCABULARY:
Cubic, Area, Base, Rectangular Solid, Volume / MATERIALS:
Snap Cube or cm Cubes
Recording worksheet
Practice problems (at bottom of lesson)
BEFORE / TEACHER WILL:
Ask: What do you know about volume?
Pose the problem to the students, “Mrs. White bought a freezer. The freezer is rectangular and the space inside measures three feet long by two feet wide by five feet high. What is the volume for the inside space in the freezer?”
Say: Using cubes, build a 3x2 rectangle to represent the bottom layer of space in the freezer. How many cubic units are in this layer? (Discuss methods to solve; ex- Area, multiplication, counting, etc…)
Say: Make four additional layers of 3x2 and stack them on top of each other for five total layers. This models the space inside the freezer. Now how many cubic units are in the model?
Guide the students to muliply the number of cubic units in each layer by the number of layers.
Work together with your group to come up with a formula to solve a similar volume problem.
Share out formulas and test them together
Introduce the two ways to write a volume formula using what the students came up with (V=LxWxH or V=BxH).
The activity can also be done with centimeter cubes / STUDENT WILL:
Tell what they know about volume.
Use snap cubes to create the “freezer.”
Record the results of the first cubic layer.
Record the results of the volume.
Record groups volume formula and share out.
DURING / TEACHER WILL:
Give the worksheet (with real world problems) and guide students to practice making the rectangular solids and solving for volumes using the formula.
The remove the Snap Cubes and have the students solve problems using pictures, the dimensions and formula.
The last part is to give them verbal or written dimensions (no picture) and have them solve for volume using the formula. / STUDENT WILL: Using the worksheet to guide them, they will create rectangular solids using the snap cubes and determine the length, width, height and volume. They will then move onto looking at the picture and dimensions and using the formula to solve for volume.
AFTER / TEACHER WILL:
Finally, ask the students the following formative assessment; A hole is being dug for an inground hot tub. The hole measures 5 meters long by four meters wide by 3 meters deep. How much water will fill the hole (the volume)?
Ask: What is volume? When would you use volume in real life? / STUDENT WILL:
Use the learned volume formula to solve the question.
Volume Practice
Build the rectangular prism with the given dimensions. Then record the total numver of cubic units (cubes). Try the formula that the class discovered with the freezer problem. Does the formula work for all the rectangular prisms?
Length / Width / Height / Total Cubes1 / 5 / 1 / 1
2 / 4 / 2 / 5
3 / 4 / 3 / 2
4 / 2 / 4 / 2
5 / 6 / 1 / 2
6 / 1 / 3 / 3
7 / 3 / 2 / 5
8 / 4 / 4 / 2
9 / 5 / 1 / 6