1.) AE-2 List the enduring understandings for a content-area unit to be implemented over a three- to five- week time period. Explain how the enduring understandings serve to contextualize (add context or way of thinking to) the content-area standards.

Unit: Data and Probability
Time: 3 weeks max

Enduring Understanding:
“Student Will Be Able To:
- Know what probability is (chance, fairness, a way to observe our random world, the different representations) - Know what the difference between experimental and theoretical probability is - Be able to find the probability of a single event

- Be able to calculate the probability of sequential events, with and without replacement - Understand what a fair game is and be able to determine if a game is fair - Be able to make a game fair

- Be able to use different approaches (such as tree diagrams, area models, organized lists) to solve probability problems in life. - Be able to predict the characteristics of an entire population from a representative sample - Be able to analyze a representative sample for flaws in its selection - Be able to create and interpret different statistical representations of data (bar graphs, line graphs, circle graphs, stem-and-leaf) - Be able to choose an appropriate way to display various sets of data - Know why the Fundamental Counting Principle works and be able to use it to solve counting problems.” http://www.arps.org/Curriculum/Maps/MS/Mathematics/Grade7.pdf

2.) AE-3 List the language abilities that ELLs must develop to access the content you are teaching in your unit; then list the language abilities that they need to demonstrate content mastery.

Academic Language Abilities:
* Know the difference between possibility and probability. * Expressing probability and improbability
* Words that have representations of mathematical meaning.

AE- 4 Determine the content-area learning outcomes that all students will master as a result of...

...Technology & Science, Pilani
Work-Integrated Learning Programmes Division
Second Semester 2010-2011
Course Handout
Course Number
Course Title
: AAOC ZC111
: Probability and Statistics
Course E-mail address : aaoczc111@dlpd.bits-pilani.ac.in
Course Description
Probability spaces; conditional probability and independence; random variables and probability
distributions; marginal and conditional distributions; independent random...

...solved.
C) a numerical measure of a probability experiment.. Ans = C
D) a qualitative attribute of a population.
4) Given the table of probabilities for the random variable x, does this form a probability distribution? Answer yes or no.
x 5 10 15 25
P(x) 0.1 –0.1 0.3 0.8 Ans = No
5) True or False: The expected value of a discrete random variable may be negative Ans = True
6) The table...

...Probability distribution
Definition with example:
The total set of all the probabilities of a random variable to attain all the possible values. Let me give an example. We toss a coin 3 times and try to find what the probability of obtaining head is? Here the event of getting head is known as the random variable. Now what are the possible values of the random variable, i.e. what is the possible number of times that head might occur? It is 0 (head...

...variable X is a weighted average of the possible values that the random variable can take. Unlike the sample mean of a group of observations, which gives each observation equal weight, the mean of a random variable weights each outcome xi according to its probability, pi. The mean also of a random variable provides the long-run average of the variable, or the expected average outcome over many observations.The common symbol for the mean (also known as the expected value of X)...

...PROBABILITY and MENDELIAN GENETICS LAB
Hypothesis: If we toss the coin(s) for many times, then we will have more chances to reach the prediction that we expect based on the principle of probability.
Results:
As for part 1: probability of the occurrence of a single event, the deviation of heads and tails of 20 tosses is zero, which means that the possibility of heads and tails is ten to ten, which means equally chances. The deviation of heads and...

...I. Probability Theory
* A branch of mathematics concerned with the analysis of random phenomena. The outcome of a random event cannot be determined before it occurs, but it may be any one of several possible outcomes. The actual outcome is considered to be determined by chance.
* The word probability has several meanings in ordinary conversation. Two of these are particularly important for the development and applications of the mathematical theory of...

...P(S) The symbol for the probability of success
P(F) The symbol for the probability of failure
p The numerical probability of a success
q The numerical probability of a failure
P(S) = p and P(F) = 1 - p = q
n The number of trials
X The number of successes
The probability of a success in a binomial experiment can be computed with...

...MATH PORTFOLIO
Modelling Probabilities on games of tennis
Introduction:
In this portfolio I shall investigate the different models and probabilities based on the probabilities in the game of tennis. First I will start with the Part 1 of the portfolio where I will be concluding with the expected value and the standard distribution from my results.
I will then take a look at the Non Extended play games where the highest of 7 points can be...