Description
What our Surface Area Advanced lesson plan includes
Lesson Objectives and Overview: Surface Area Advanced teaches students how to find the surface area of several objects. The lesson focuses only on rectangular prisms, cylinders, pyramids, and cones. At the end of the lesson, students will be able to figure out the surface area of any of these figures. This lesson is for students in 6th grade.
Classroom Procedure
Every lesson plan provides you with a classroom procedure page that outlines a step-by-step guide to follow. You do not have to follow the guide exactly. The guide helps you organize the lesson and details when to hand out worksheets. It also lists information in the blue box that you might find useful. You will find the lesson objectives, state standards, and number of class sessions the lesson should take to complete in this area. In addition, it describes the supplies you will need as well as what and how you need to prepare beforehand.
Options for Lesson
Included with this lesson is an “Options for Lesson” section that lists a number of suggestions for activities to add to the lesson or substitutions for the ones already in the lesson. One optional addition to this lesson is to have your students design and construct packaging for a product using a set surface area.
Teacher Notes
The teacher notes page includes a paragraph with additional guidelines and things to think about as you begin to plan your lesson. This page also includes lines that you can use to add your own notes as you’re preparing for this lesson.
SURFACE AREA ADVANCED LESSON PLAN CONTENT PAGES
Surface Area
The Surface Area Advanced lesson plan includes two content pages. Solid figures, such as prisms, cylinders, pyramids, and cones, are 3-dimensional figures that each have a surface area. Surface area is the outside area of a solid figure. To find the surface area (SA), you find the sum of all of the areas of all of the shapes that make up the surface of the object. You can either do this one side at a time, or you can use a helpful formula.
Prisms
Prisms are solid figures with two congruent parallel polygonal bases. The faces connecting their corresponding edges of the bases are rectangles. The shape of the bases classifies a prism. The formula for finding the surface area of a prism is = 2lw + 2wh + 2lh.
Let’s take a look at an example, where l = 4, w = 3, and h = 2. First, substitute the values into the formula: SA = 2(4)(3) + 2(3)(2) + 2(4)(2). Then, solve: SA = 24 + 12 + 16 = 54 units².
Pyramids
Pyramids are solid figures with a polygon base and triangular faces. The faces all share a common vertex. The shape of its base classifies a pyramid. The formula for finding the surface area of a pyramid is ½pl + B, where p = perimeter of base, l = slant height, and B = area of base.
Let’s take a look at an example, where p = 6 + 6 + 6 + 6, l = 12, and B = 6 x 6. First, substitute the values into the formula: SA = ½(6 + 6 + 6 + 6)(12) + (6 * 6). Then, solve: (0.5)(24)(12) + 36 = 144 + 36 = 180 cm².
Cylinders
Cylinders are solid figures with two congruent circular bases. When unrolled, the lateral surface is a rectangle, two of whose edges are the circumference of the circular base. The other two are the height of the cylinder. The formula for finding the surface area of a cylinder is 2πrh + 2πr².
Let’s take a look at an example, where r = 4 and h = 8. First, substitute the values into the formula: SA = 2π(4)(8) + 2π(4)². Then, solve: 2π32 + 2π16 = 64π + 32π = 96π in.² = 301.44 in.².
Cones
Cones are solid figures whose bases are circles with curved surfaces of line segments that connect the points on the base to the vertex. The formula for finding the surface area of a cone is πr² + πrl.
Let’s take a look at an example, where r = 14 and l (slant height) = 50. First, substitute the values into the formula: SA = π(14)² + π(14)(50). Then, solve: π(196)+ π(700) = 896π = 2813.44 m².
SURFACE AREA ADVANCED LESSON PLAN WORKSHEETS
The Surface Area Advanced lesson plan includes three worksheets: an activity worksheet, a practice worksheet, and a homework assignment. You can refer to the guide on the classroom procedure page to determine when to hand out each worksheet.
ORDER THE CANS ACTIVITY
You will have to do some prep work for the activity worksheet. You will divide the students into groups and give each group six cans of varying sizes. Number the cans so that the students can sort them. Students will order the cans from smallest to largest based on their SA and write the order on the sheet. Then they will measure and find the SA of each can. Then they will order the cans again, and they may find that the new order differs from the first. Last, they will answer the question at the bottom of the page.
WRITE THE FORMULAS PRACTICE WORKSHEET
The practice worksheet requires students to calculate the SA of eight total figures. There are two figures for each type of shape. Students will show their work in the space next to the figure.
SURFACE AREA ADVANCED HOMEWORK ASSIGNMENT
The homework mimics the practice worksheet. Students will solve the SA of eight figures, two for each type of figure shape. They will show how they got their answers using the blank spaces next to the figures.
Worksheet Answer Keys
This lesson plan includes answer keys for the practice worksheet and the homework assignment. If you choose to administer the lesson pages to your students via PDF, you will need to save a new file that omits these pages. Otherwise, you can simply print out the applicable pages and keep these as reference for yourself when grading assignments.
