Setting Learning Achievement Targets

School Boards: TDSB School: Islington Grade(s) 6 Lesson Title: Chocolongo Date: April 21, 2011

Curriculum Expectations  Determine through investigation and strategies, the surface area of a rectangular prism  Solve problems involving the estimation and calculation of surface area and volume of a rectangular prism

Lesson Components Before

Recap yesterday’s math lesson and the Chocolongo scenario:

“Since the public is becoming increasingly concerned about the impact that food packaging is having on the environment, the president of Chocolate Company X has called a crisis management meeting of her strategy team. Sales of the company’s signature chocolate bar, the Chocolongo, have plummeted since a recent article named the company as the largest producer of packaging waste in the chocolate bar industry. This is very distressing news for the company. Before the appearance of the article, the Chocolongo bar had always met with rave reviews because of its unique long, thin shape.”

The president wants to continue providing her loyal customers with the same volume of chocolate, while reducing the amount of packaging used. Therefore, her strategy team must determine a different format for the bar. To preserve some similarity between the original Chocolongo bar and the new one, the team leader requires that the new bar have only a single wrapping. No additional sleeve is to be used. The team must provide proof that the selected format will result in the least amount of packaging. A member of the strategy team has asked our class for assistance with this challenging dilemma.

You have 36 linking cubes which represent the total volume of a Chocolongo bar. Your task is to work with the 36 linking cubes to find all other possible formats for the new and improved bar. For shipping and storage purposes, the final product must be in the form of a rectangular prism.

Students will congress their numerical solutions from yesterday’s lesson (i.e., discuss the various surface areas for the volume of 36).

Questions:  How did your group decide which prism used the least packaging?  Describe the steps your group used to determine how much packaging each prism needed.

During

“Your task will be to determine which chocolate bar is the better product. Remember that it must meet consumer concerns and use less packaging, and it must be appealing and practical.”

Students will use Illuminations Isometric Drawing Tool to create the two figures with the smallest surface areas. Students will use Grab to capture the figure. They will then paste the figures onto the Excel spreadsheet they created the day before. They will also paste the orthographic view onto the Excel sheet. After (Consolidation)

Groups, identified by the teacher to highlight a particular learning opportunity, will present their findings. Groups may include those that the smallest surface area (i.e., 3x3x3 and 6x2x3), chose Chocolongo bars with larger surface areas due to a misconception, justified their responses clearly, etc.

Group Prompts: Tell us about your new and improved bar. How do you know that your bar(s) fulfill all the requirements?

Which product is more visually appealing? Which product is easier to eat? Which chocolate bar is easier to share?

Class Prompt: What is your recommendation to the Chocolate Company regarding which chocolate bar is the better product to meet both the consumer concerns about excess packaging as well as creating a product that is appealing and practical?

*Possibly have students present their recommendations on iMovie if there is time to train them on the computer or class time during the lesson

Success Criteria Highlights:

I can identify, construct and compare rectangular prisms. I can determine the surface area of rectangular prisms.

Strategies: Use an organized chart to compare the surface area of the various chocolate bars Add the six surfaces of each chocolate bar to determine the total surface area of the chocolate bar

Tools: I can use Excel spreadsheets to record the surface area I can use software to create isometric drawings. I can use Grab to cut and paste isometric and orthographic images into the excel spreadsheet

After (Practice) Cross Curricular Move on to Stage Two: Using Shelf Space Media Studies: Design the packaging for the chocolate bar Revisit this activity when doing percentages and determine and create a commercial to sell the Chocolongo the reduction in packaging using percent Write a persuasive piece to the Chocolate Company promoting your chocolate bar design? Setting Learning Achievement Targets

Summative Task: The task is to determine which chocolate bar is the better product. Remember that it must meet consumer concerns and use less packaging, and it must be appealing and practical.

Grade 6 Math Strand: Measurement

Overall Expectations: Determine through investigation and strategies, the surface area of a rectangular prism Solve problems involving the estimation and calculation of surface area and volume of a rectangular prism

Big Ideas: A measurement is a comparison of the size of one object with the size of another The same objet can be described by using different measurements The numerical value attached to a measurement is relative to the measurement unit Units of different sizes and tools of different types allow us to measure with different levels of precision The use of standard unit measurement units simplifies communication about the size of the objects

Specific Expectations: Determine the relationships among units and measurable attributes including the area and volume a prism Estimate, measure and record length and using the metric system Determine, through investigation using a variety of tools and strategies by composing and decomposing Determine, using concrete materials the relationship between units used to measure area and apply the relationship to solve surface area Determine, through investigation using a variety of tools and strategies, the surface area of a rectangular prism

Math Processes: Tool Selection Representing Reflecting Reasoning and Proving Communication

Key Questions: How can we determine, through investigation using a variety of tools and strategies, the surface area of a rectangular prism? How can we determine the relationship among units and measurable attributes of the surface area and volume of a prism? How can we determine the best chocolate bar design that uses less packaging and is visually appealing and practical? How do you know that your bar(s) fulfill all the requirements? Which product is more visually appealing? Which product is easier to eat? Which chocolate bar is easier to share?