Surface Area of Cylinders
6 Grade Mathematics
Type of Lesson: Daily
AKS: #36: estimate and compute the volume and surface area of right prisms, cylinders,
pyramids and cones.
#37: solve problems involving the volume and surface area of right prisms,
cylinders, pyramids and cones.
Essential Question/Big Idea: What is the formula to find the surface area of a cylinder?
Setting the Stage (Activating Strategy): Have students complete “Caution: Curves
Ahead” on page 593 of the textbook. Allow students to work in partners and complete
the five questions. Review responses in class.
Hook: Discuss the components of a cylinder. Read “Learn: Area of a Cylinder”. Notice
the net of a cylinder results in a rectangle (the circumference of the base x the height of
the cylinder), and two circles at the top and bottom. How can we use this information to
generate a formula? Guide the students to find the following: SA 2r 2 2rh
Present the following problems, one at a time, to the students. Have them
complete the calculations for each problem with increasing level of independence
(do the first one for them, have them do the last one on their own, with varying
degrees of help in the middle). The use of calculators is recommended.
(Answers to 1- 5 above)
1. 1507.96 cm2
2. 157.08 cm2
3. 804.25 mm2
4. 80.11 in2
5. 402.12 in2
Have students work in pairs to complete Problems 1- 16 on pages 596- 597 in the
textbook. They should complete these examples in a relatively short period of
time. Walk around the room to help students with individual questions.
Spend time going over the correct answers and responding to questions.
Guided Practice: Assign Re-teaching 11-4 from the Resource Pro CD Rom that
accompanies the textbook.
Checking for Understanding:
Have the students work in pairs and solve problems 18 & 19 on page 592 in the
textbook. Have them share their work with the class.
Culminating Activity (Summarizing Activity):
Have the students complete problem #17 on page 597. Have them compare their
work with a partner to confirm that their paragraphs are clear and able to be followed by
someone who is learning the concept for the first time.