CHAPTER 11
A
Lateral and Surface Area
of Right Prisms
(Guided Activity)
Assessment for Feedback
What You Will See Students Doing . . .
Students will
When Students Understand
If Students Misunderstand
• calculate lateral area and
surface area of right prisms
• Students will accurately calculate the lateral area and
surface area of right prisms.
• Some students may have difficulty understanding the formulas
for surface area and lateral area. Work several examples,
breaking down the steps for simplifying each formula. Make
certain students understand the value that each part of the
formula represents.
1.
Introduction (Whole Class) ➧ 5–10 min
Review with students the steps for calculating the volume of a
cylinder as learned in the previous lesson (11.3). Make certain
students are able to substitute values into a formula and use it
to calculate volume. Provide students with an example by
drawing a cylinder on the board and asking students to
determine the volume.
Also, review with students the formulas for the perimeter
and area of a rectangle and a triangle. Give students the
dimensions of a rectangle and a triangle and ask them to
calculate the area and the perimeter of each.
2.
Teaching and Learning (Whole
Class/Independent) ➧ 15–20 min
Read aloud to the class the first three paragraphs of the lesson.
Discuss the vocabulary terms presented here, including right
prism and lateral area. Ensure that students have a clear
understanding of these terms, as well as, the formulas used for
calculating the surface area and lateral area of a right prism.
Direct students’ attention to prompt A. Guide them through
prompts A and B. Ask students to work independently to
complete prompts C and D. When all pairs have had an
opportunity to complete these four prompts, discuss the
answers together as a class. Discuss prompt E together, as well.
Reflecting: Use these questions to ensure that students are
able to define right prism and lateral area, as well as, calculate
the surface area and lateral area of a right prism.
Sample Discourse:
1. • You must know the dimensions of the base to calculate the
area and perimeter of the base. You must also know the
height of the prism.
2. • The surface area includes the area of all outside surfaces of
the prism, including the top and bottom. The lateral area
includes the area of only the non-base faces of the prism.
3. • No; the surface area includes more surfaces (the base faces)
of the prism; therefore, it can never be less than the
lateral area.
Copyright © 2009 by Nelson Education Ltd.
3.
Consolidation ➧ 20–30 min
Checking (Whole Class)
4. Ask students to complete this question independently.
After all students have had an opportunity to complete
this question, check their answer together as a class.
Practising (Independent)
5.–7. Students should complete these questions independently.
Closing (Whole Class): Ask, “What is a right prism? How do
you calculate the surface area of a right prism? What is lateral
area? How do you calculate the lateral area of a right prism?”
Answers
A. 0.125 m2
B. 1.500 m
C. 1.75 m2
D. 1.50 m2
E. vertical faces only
1.–3. See sample answers under Reflecting.
4. surface area: 800 mm2
lateral area: 600 mm2
5. a) right prism
6. a) 112
cm2
b) lateral area
b) 24.96
m2
c) lateral area
c) 416 cm2
d) 63.3 m2
7. a) surface area: 18 cm2
lateral area: 16 cm2
b) surface area: 58.58 mm2
lateral area: 45.00 mm2
c) surface area: 1456 cm2
lateral area: 1008 cm2
d) surface area: 46 mm2
lateral area: 44 mm2
e) surface area: 858 cm2
lateral area: 558 cm2
11A Lateral and Surface Area of Right Prisms
1