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• Sanger Unified School District Central Valley Math Project

6th Grade Lesson Study Group Winter/Spring 2010

Lesson Study Group Members: Kim Labosky and Chris Gulbronsen (Quail Lake), Matt Canaday (Centerville), Gina Montelongo and Erica Mardirosian (WAMS) Facilitator: Gina Montelongo Outside Observer: Oscar Vega Lesson Study Goal: We will enable all students to become critical thinkers while collaborating in cooperative groups to successfully complete a given task. Chapter Goal: CA Standard SDP 3.1: Represent all possible outcomes for compound events in an organized way (e.g. tables, grids, tree diagrams) and express the theoretical probability of each outcome. Lesson Goal: Students will represent all possible outcomes for compound events in an organized way. _6th_ Grade California Mathematics Standards: CA Standard SDP 3.1: Represent all possible outcomes for compound events in an organized way (e.g. tables, grids, tree diagrams) and express the theoretical probability of each outcome. Manipulatives, materials required: Whiteboards, dry erase markers, flip chart markers, poster paper, clothes and projector. Rationale for lesson: (What is it that you want students to learn that they didnt know before the lesson? Why?) How to apply and display all possible outcomes in real life situations.

• Sanger Unified School District Central Valley Math Project

6th Grade Lesson Study Group Winter/Spring 2010

Time Steps, Learning Activities, Teachers questions

Expected Student Responses

Points of Evaluation

3 mins

Objective: Today we will represent all possible outcomes for compound events in an organized way.

Students will restate/rephrase objective.

TAPPLE and pair-share

10 mins

Activate Prior Knowledge: I have a pair of jeans and shorts and three different t-shirt. What is the total number of possible outcomes, and when I ask you the total number of possible outcomes what does that mean? On your whiteboards show me all the possible outcomes.

You are asking us to find out how many outfits we can make out of those clothes. Some students may not know so teacher will explain as needed. We think half of the class will be able to create a data display for the possible outcomes.

Students will explain on their white boards. Students will show their display on their whiteboards.

• Sanger Unified School District Central Valley Math Project

6th Grade Lesson Study Group Winter/Spring 2010

Teacher will define: Mathematically speaking, an event is a choice, for example I can choose one shirt from this group. So choosing the t-shirt is an event. A compound event is two or more linked events. For example, what we just did with choosing a shirt and a pair of pants is a compound event. If I add shoes, then I am choosing a shirt, pair of pants, and shoes. Those three are all linked so that would also be considered a compound event. CFU Now think to yourself If I added hats, would that still be a compound event? Write your answer on your whiteboard. Okay what happens if I just have to choose a hat, is that a compound event? Write your answer on your whiteboard.

Students will understand the concept of compound events.

Whiteboards

15 mins So lets say we are having an ice cream party. We have Chocolate, Neapolitan, Cookies n Cream and Chocolate Chip ice cream. And you can have your ice cream on a sugar cone, plain cone or in a cup. You may have colored or chocolate sprinkles. What are the possible outcomes for this compound event? You will work in groups to figure it out and then create a poster showing all the possible outcomes. Use your knowledge to decide how to display your data and plan your poster on paper.

Students will be able to create posters with the data. Students may not know which choice to start with. The answer is 24 possible outcomes.

Poster

10 mins Students present their posters. Teachers will randomly select the group and person to present.

Students will be able to explain how they solved their problem. Some may leave out some of the choices. Some groups may not finish

Presentations

• Sanger Unified School District Central Valley Math Project

6th Grade Lesson Study Group Winter/Spring 2010

5 mins Closure:

Please restate what an event is. Please restate what compound event is. How do you determine the total possible outcomes looking at a tree diagram?

Event is a choice. A compound event is two or more linked events.

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