Grade Level: 8th Subject: Math Strand: Patterns, Relationships, and Algebraic Thinking

Knowledge & Skills Statement

Student Expectation

Cognitive Expectation (verbs)

Content Expectation (demonstration)

The student makes connections among various representations of a numerical relationship.

The student is expected to generate a different representation of data given another representation of data (such as a table, graph, equation, or verbal description).

Make connections, Generate representations, Application level

Generate multiple representations of data

Possible Activity Types:

Title

Keys to the Restaurant

Description

Students are posed with the question: If you could own a restaurant, would you choose a fine dining establishment, a suburban family restaurant, or a fast food joint? Which one would earn you more money to spend in your free time? After "voting" for one category, students will calculate the average price per meal at each of the three restaurants chosen (students may choose which restaurant they want to represent each category). They will then create a table, graph, and equation for each restaurant. For example, if the average meal price is $12.50, they would extend that to $25 for two people, $37.50 for three, etc. If all three restaurant's data are plotted on one graph, students can use that for discussion and to draw some conclusions (Restaurant A would have to sell five times as many burgers to earn the same amount of money as Restaurant C). Ask students if they feel their "vote" from earlier is still feasible. Do they still think their choice would earn more money, now that we know how many meals would need to be sold to surpass the other restaurants? As a final step, students will contact their restaurants and find out their daily or weekly revenue for comparison. Ask students whether daily or weekly revenue is the best way to compare and what other factors may affect gross revenue (overhead, etc.). Students post their work on Edmodo and comment on each other's work and conclusions.

Resources Needed

Access to restaurant menus, laptops for access to Edmodo, restaurants willing to help with data

Example

Notes

As an alternate example, you can split your class into groups and have each complete a rule of four (table, graph, equation, and situation or pattern. Each group then gives another group only one piece of their puzzle and asks the group to complete the other three. Post results on Edmodo. Students should reflect on whether other group's work matches theirs, and if not, is it automatically incorrect? If they choose different values for their table, but still use the same equation, is that ok? Is there more than one situation or pattern which can match the equation?

Grade Level: 8thSubject: MathStrand: Patterns, Relationships, and Algebraic ThinkingKnowledge & SkillsStatementStudent ExpectationCognitive Expectation(verbs)Content Expectation(demonstration)Possible Activity Types:TitleDescriptionResources NeededExampleNotes