Chapter 11 Assignment: Surface Area and Volume of Cylinders
This is the mid-chapter assignment for chapter 11, "Geometry and Measurement Relationships". It covers area and circumference of complex 2D shapes, as well as surface area and volume of cylinders. I am posting it early, to give students time to work on it, but it won't be due until we are finished section 11.4, sometime next week. Click on one of these links to download (note that the PDF file is easier for printing). Click on images further down the page to zoom in.
Download for Word: 2015-05-18 Chapter 11 Geometry and Measurement Relationships Assignment
There are four sections to this assignment: Knowledge and Understanding, Application, Thinking and Investigation, and Communication. The objectives of each section are slightly different.
Knowledge and Understanding (pages 1 - 3)
This section tests your ability to play around with the dimensions and area of complex two-dimensional shapes. You will need to be able to calculate areas, and then add and subtract them to find a final value. You will occasionally need to create and solve equations in order to find a given dimension of a shape.
Application (pages 4 - 6)
This section evaluates your ability to calculate the surface area and volume of three-dimensional shapes, mostly cylinders. It will help develop your understanding of how volume works, and what you can find using the volume formulas.
Thinking and Investigation (page 7)
For this problem, it isn't enough to find the answer. You must show your work, and label your steps clearly in order to get full points.
Communication (page 8)
In this problem, you have to explain your reasoning. If you approximate at any point during this problem, it will be difficult for you to get the exact value. I recommend dealing in exact values for as long as you can in the problem. Alternatively, if you want to round off, but still remain precise, try using four decimals while you're solving the problem, and round off to two decimals once you have your final answer.
This is a communication problem, so it is extremely important to explain your reasoning in order to get full marks.
Evaluation Rubric (page 9)
This is how I'm evaluating the assignment. It's self-explanatory, but I recommend at least reading through the "Level 4" column, to ensure that you haven't missed anything.