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The Alchemist and The Fairies

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Game Info for Teachers

COMBINED RATING

3.8 Stars

TEACHERS (7)

4.1

STUDENTS (1138)

3.5

LENGTH

20 Minutes

GRADES

6
7
8

CAPABILITIES

iPad Support
ES
Spanish Language Support
Text-to-Speech Support

Description

Help The Alchemist manage her magical garden! Come ready to learn probability!

Vocabulary Words

probability
probability model
sample space
uniform sample space
theoretical probability
empirical probability
experimental probability

Instructions

Play through this interactive game to learn about Theoretical Probability. Suitable for Grade 6, Grade 7, Grade 8.

Main Concepts

Develop a theoretical probability model that gives equally likely outcomes for success.
Theoretical probabilities are expressed as equal in likelihood based on the process of gathering the data being random and balanced.
Probabilities can be theoretical (based on the structure of the process and its outcomes) or empirical (based on observed data generated by the process).
If the number of outcomes are unknown then the approximate frequency can be found by making a series of random selections and recoding the relative frequencies.
A probability model provides a probability for each possible nonoverlapping outcome for a chance process so that the total probability over all such outcomes is unity.
The collection of all possible individual outcomes is known as the sample space for the model.
Identify the probability of events based on a (uniform) sample space.

Discussion Questions

Before the Game

What is probability? How do we represent a fraction as a percent? What is meant by a uniform sample space? If there is a 1/5 chance that something will happen, how can you turn that fraction into a percentage to describe the chances? If there are 3 plants and one of them is red, one is blue, and one is yellow, and a fairy will randomly pick one plant, what are the chances that the plant will be red?

After the Game

How do we use a fractional relationship to represent probability? How did you use the data from the fairies' orb collection to calculate the probability of getting a particular color orb? Why is it important to conduct multiple trials when collecting data and calculating probability? Which example resulted in a zero percent probability or with an event that was impossible to happen? In the last part of the game, how did you use the percentages in the recipe to calculate how many of each color to plant? If you had a garden of 20 plants, broken up as: red:40%, blue:10 %, yellow:5%, and the rest of the flowers are pink, how many of each plant would you include? The black potion spilled on another part of the garden, so you sent the fairies out to collect from 6 flowers, and they came back with 33% red, 15% green, 17% blue, and 35% purple - how many of each flower can we deduce was in the garden?

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Game Details

Difficulty

Content Integration

Lexile Level

705