7.SP.C.6

Santa's Random Gifts

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Game Info for Teachers

COMBINED RATING

3.7 Stars

TEACHERS (8)

4.0

STUDENTS (1120)

3.4

LENGTH

16 Minutes

GRADES

CAPABILITIES

Spanish Language Support

Text-to-Speech Support

Description

A little girl comes to help Santa Claus deliver gifts for her family! Students will learn there are empirical and theoretical probabilities, develop a theoretical probability model, and discover how to calculate the approximate frequency of events.

Vocabulary Words

probability

chance

percent

trial

experiment

outcome

sample space

random

set

theoretical probability

empirical probability

favorable outcome

statistics

frequency

relative frequency

Instructions

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

Main Concepts

The collection of all possible individual outcomes is known as the sample space for the model.

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.

Make a prediction with probability.

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.

Probabilities can be theoretical (based on the structure of the process and its outcomes) or empirical (based on observed data generated by the process).

Theoretical probabilities are expressed as equal in likelihood based on the process of gathering the data being random and balanced.

If the outcomes are unknown for a probability model you can approximate it by making a series of random selections and recording the relative frequencies in a table or tree diagram.

Determine the probability of an event based on the relative frequency.

Discussion Questions

Before the Game

What are some real life examples of why you would want to find the probability of an event? Are there instances in life where the exact (theoretical) probability is impossible to know (hint: weather)? What is a sample space? What is probability? What is the range of probability and what does it mean? On a six-sided die, what is the probability of rolling a 4? What is the probability of not rolling a 2?

After the Game

In the empirical probability calculated, how likely were you to roll a sum of more than ten? Why does this probability make sense in terms of the highest and lowest sums you could roll? In this game you rolled a dice to determine the likelihood of rolling a three-if you rolled a dice 60 times and rolled a three 40 times, what is the empirical probability? What is the empirical probability of NOT rolling a three? In this game you tried to determine which presents had candy in them-with six boxes in four rounds, you determined the probability of opening a box with candy was 50%-using this information, if you were given 50 boxes, how many of them will have candy?

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