# Planning - Plan Probability One Die in an outline format

## Intended learnings & learners thinkings

See for more information on what to include in planning

### Overview

Investigate the odds of rolling a certain number on a six - sided die.

### Focus questions

What happens when a die is rolled?

### Background Information

Probability can be determined in one of two ways: theoretical and experimental.

### Concepts

- A six sided die has a one in six probability for each (A die has six sides).
- A fair die has equal probability for each side (Each number appears only once).
- (Generalization) The probability of an outcome is the number of specific outcomes out of the total number of all possible outcomes of one event.
- Theoretical probability is determined with reasoning.
- Experimental probability is determined by repeating a certain event a number of times and collecting numerous results to determine the probability.

### Misconceptions

I can cause a certain number to be rolled (blowing, throw hard, throw a certain way, wishing for it...). It is magic.

### Generative Assessment

- Predict the probability for a die with a different amount of sides than six.
- If a spinner has equal partitions, then predict the probability for each section to be selected.
- Create problems with a drawer that has equal numbers of socks in it.

*Bloom’s Taxonomy* If students have never experienced the concept and derive the concept on
their own it would be application or possibly synthesis. If they have conceptualized
the concept before it is comprehension.

### Objective or outcome

Learners predict what will happen if they roll one die 36 times, record predictions, roll one die 36 times, record data, organize data onto a graph, analyze the data, and explain the pattern they found and predict what would happen with different sided die.

### Materials

Die, pencil, paper

## Strategies to achieve educational learnings

Based on learning cycle theory & method

### Instructional Procedure

### Beginning

Ask.

- What do you think would happen if you rolled one die 36 times?
- How did you made that prediction?
- Display all answers on a board for all to see.
- What makes you believe they are right?
- Suggest they should roll the die, collect the data, and find out..

### Middle

- Share the data.
- Ask.
- How could the data results be displayed?
- If there are no suggestions to arrange data have them chart the number of rolls for each roll 1
- 6
*(1 - 6 horizontal axis, # rolls verticle axis*). Students put their data on the board. Analyze the data. Possible questions:- What number turned up most?
- What number would you predict would turn up most if you did it again?
- What are the odds of a certain number turning up?
- What did you discover from the data?

- Have students communicate the concept in several ways.

### End

Ask.

- What would happen if they rolled different die with different numbers of sides?
- What if they had a spinner with four equally distributed colors of red, blue, green, and yellow?
- What if they had a sock drawer with three white and three black socks?

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