PD-ROM - PD-ROM 2.1 : The Cereal Box

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Saturday July 31, 2010

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PD-ROM 2.1

The Cereal Box

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Overview

Welcome to Unit 2.1 The Cereal Box!

The motivating CAHSEE question for this unit is the following:

A cereal manufacturer needs a box that can hold twice as much cereal as the box shown below. Which of the following changes will result in the desired box? (V = lhw)
A. Double the height only.
B. Double both the length and width.
C. Double both the length and height.
D. Double length, height, and width.

California Mathematics Content standards addressed in this question include:

Measurement and Geometry (7th)
2.0 Students compute the perimeter, area, and volume of common geometric objects and use the results to find measures of less common objects. They know how perimeter, area, and volume are affected by changes of scale.
2.3 Compute the length of the perimeter, the surface area of the faces, and the volume of a three-dimensional object built from rectangular solids. Understand that when the lengths of all dimensions are multiplied by a scale factor, the surface area is multiplied by the square of the scale factor and the volume is multiplied by the cube of the scale factor.

Prerequisites

Successful completion of PD-ROMi is a prerequisite to this unit.

Objectives

In Unit 2.1 The Cereal Box, you will

deepen your understanding of mathematical concepts in Pre-Algebra, including
- the use of formulas to find the volumes of prisms and cylinders; and
- how changes in dimensions of a prism result in changes in its volume

focus on new instructional strategies, including
- using models (specifically models of prisms with wooden cubes);
- using sentence strips and pair-problem solving; and
- generating and testing hypotheses (a research-based strategy recommended by ASCD)

apply your new knowledge and skills in the Lesson Plan Project.

How to Take this Unit

What you will see:

Each unit is organized around a highly-missed question from the CA High School Exit Examination
Each unit presents lessons taught by middle school math teachers.
These teachers designed the lessons with input from our math experts, Dr. Marty Bonsangue and Dr. Harris Shultz.
Both units in Module 2 have strands -- one on math content and one on instructional strategies. Unit 2.1 also includes a strand on students with special needs.

What you will do:

As you move through the unit, you will read text, view videoclips of classroom teaching, and respond to assessment questions.
You will submit your responses to the assessment questions as you move through the unit.
Once you submit a response, feedback from Drs. Bonsangue, Shultz, and Costa will "pop-up" for your viewing.
- In addition, your Online Facilitator will be checking your responses for accuracy and completion.
At the end of each strand, you will be asked to post your reflection on the Discussion Board. You will also respond to a colleague's posting.
At the end of the unit, you will also be asked to reflect on the entire learning experience.
At the end of each unit, you also complete part of an on-going lesson plan project. Our goal is to develop your ability to design, implement, and share effective lessons.

Unit Duration

Unit 2.1 The Cereal Box should take approximately 10-15 hours, depending on your technology skills and knowledge of instructional strategies. You may complete this unit on your own time, but each strand is expected to be completed by a specific deadline. This will allow your Online Facilitator to provide collective support and will facilitate your collaboration with your colleagues. It will also insure that you complete the unit by the course endpoint.

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