General Information
Subject(s): Mathematics
Grade Level(s): 8
Suggested Technology:
Computer for Presenter, Internet Connection, Interactive Whiteboard, Basic Calculators, LCD Projector
Instructional Time:
2 Hour(s)
Resource supports reading in content area:Yes
Freely Available: Yes
Keywords: volume, cone, cylinder
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Lesson Content

Lesson Plan Template:
General Lesson Plan

Learning Objectives: What should students know and be able to do as a result of this lesson?
 The students will know how to make a cylinder with the same base area and same height as a given cone.
 The students will understand why the volume of a cone is 1/3 the volume of a corresponding cylinder.
 The students will be able to correctly apply the formulas for the volume of a cone and the volume of a cylinder.

Prior Knowledge: What prior knowledge should students have for this lesson?
Students should have a prior knowledge of:
 Vocabulary associated with a circle, cone, and cylinder such as radius, diameter, height, base, area, circumference, and the number pi.
 Order of operations
 How to square a number
 How to multiply by a fraction

Guiding Questions: What are the guiding questions for this lesson?
 What are the parts of a cone?
 What are the parts of a cylinder?
 How are the cones and cylinders similar?
 How are the cones and cylinders different?
 What unit of measure is used for volume and why?

Teaching Phase: How will the teacher present the concept or skill to students?
The students will complete the teaching phase of the lesson with a partner.
 The teacher will show how to draw a cylinder and a cone, labeling the radius and height of each. Students will follow the teacher to make their own drawings.
 The class will list objects that are in the shape of cones or cylinders. Any of these objects the teacher can bring to class is useful.
 Cone  ice cream cone, water cooler cups, snow cone cups, party hats, funnel, icing bag
 Cylinder  canned food, candles, pitchers, paper towel cardboard, piece of chalk, soda can, medicine bottle
 Using the following steps the students will make their own cylinder to match the base area and height of a given cone:
 The teacher shows a net drawing of a cylinder, and a copy of the net drawing cut out. Then shows that the circumference of the circular ends is the same as the length of the rectangle.
 A cone, its height and radius, and a sheet of copy paper are provided to each pair of students. The students trace the base of the cone for the one circular end of the cylinder. (The cylinder will have a bottom but not a top.)
 The teacher and students find the circumference and the height of the cone. Students are instructed to make a rectangle using the circumference as the length of the rectangle and the height of cone as the height of the rectangle.
 The rectangle and circular ends are taped together to form the cylinder.
 The students are given a small resealable bag of rice. After filling the cone with rice, instruct the students to determine how many cones of rice it takes to fill the cylinder.
 The teacher connects the concept of volume and filling the cone with rice. Begin with developing the volume of a cylinder. Discuss the area of the circular base as area of circle () x height to get the volume. Discuss the volume of cone as 1/3 that volume since it took 3 of the cones to fill the cylinder.

Guided Practice: What activities or exercises will the students complete with teacher guidance?
A worksheet titled "BE VICTORIOUS WITH VOLUME.docx" is provided as an attachment. This will allow the students to practice the volume formulas. The students will use dry erase boards to complete the problems, showing their work on the boards. As they finish a problem they can show the teacher to receive feedback.

Independent Practice: What activities or exercises will students complete to reinforce the concepts and skills developed in the lesson?
A worksheet titled Victorious with Volume Summary.docx is provided as an attachment. Students will complete an organizational table on this worksheet to reinforce the concepts.

Closure: How will the teacher assist students in organizing the knowledge gained in the lesson?
Following the guided practice worksheet, the teacher will have a discussion with the students to summarize the two formulas and note any observations concerning the most common errors made by the students.

Summative Assessment
The student will complete the attached handout, Victorious with Volume Summary.docx

Formative Assessment
The teacher will give careful attention to the following skills throughout the lesson:
When making a cylinder from a given cone, students use the correct height of the cone to make the column of the cylinder.
When using the formulas the teacher will look for errors in student's computations:
 Using the correct radius and height
 Squaring the radius and not doubling.
 Following the correct order of operations
 Using the correct values for fractions as decimals
 Rounding correctly
As the teacher observes the error, it is addressed with the class as a whole through examples on the board.

Feedback to Students
Students will apply the volume formulas to cylinders and cones drawn by the teacher and objects displayed by the teacher. Students will work on individual dry erase boards and display their work and answers for the teacher. They receive immediate feedback on correct/incorrect answers and are given opportunity to correct mistakes.
Assessment
 Feedback to Students:
Students will apply the volume formulas to cylinders and cones drawn by the teacher and objects displayed by the teacher. Students will work on individual dry erase boards and display their work and answers for the teacher. They receive immediate feedback on correct/incorrect answers and are given opportunity to correct mistakes.
 Summative Assessment:
The student will complete the attached handout, "Victorious with Volume  Summary".
Accommodations & Recommendations
Accommodations:
 Pair struggling students with a more adept student.
 Supply premade cylinders for those students who may have difficulty with the construction process. Cylinders constructed by students in advanced class(es) are useful for this purpose.
Extensions:
 Have students investigate the relationship between the volume of the cylinder and the sphere.
 Have the students find the volume of composite figures consisting of the cone, cylinder, and/or sphere.

Suggested Technology: Computer for Presenter, Internet Connection, Interactive Whiteboard, Basic Calculators, LCD Projector
Special Materials Needed:
Construction or copy paper, scissors, tape, rice, resealable bag, objects shaped like cones and cylinders.
Further Recommendations:
The organization of the materials needed for this lesson prior to its beginning taught is important. Providing small baskets containing the materials for the construction phase and teaching phase is suggested.
Additional Information/Instructions
By Author/Submitter
Standards for Mathematical Practice 7  MAFS.K12.MP.7.1 Look for and make use of structure
Source and Access Information
Contributed by:
Tami Parish
Name of Author/Source: Tami Parish
District/Organization of Contributor(s): Washington
Is this Resource freely Available? Yes
Access Privileges: Public
* Please note that examples of resources are not intended as complete curriculum.