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Senior Cycle - Statistics & Probability (Strand 1)

 

1. A possible teaching approach for Probability

2. Content for  Leaving Certificate Higher Level Probability & Statistics.

3. General resources for statistics.

 

Resource List

The following document provides a list of possible resources you may like to use when teaching Strand 1. The list is not exhaustive. It is merely designed to allow teachers to see what types of resources are currently available. If you are aware of any other resources which are not listed in this document, please contact your RDO.

To see resource list  click here

 

Probability 

Below is a suggested approach for teaching probability to Leaving Certificate Students
 

 Lesson 1 & 2

 Learning Outcomes: Students will,
  • Distinguish certain from uncertain events
  • Be able to describe events as being more or less likely from experience
  • Order events from least likely to most likely and be able to justify their choice
  • Use the scale from 0 to 1 informally placing everyday chance related events
  • Represent and interpret probabilities as fractions, decimals and percentages
  
Lesson 3 Learning Outcomes: Students will,
  • Understand and use the following terminology: trial, outcome, set of all possible outcomes, relative frequency, event, theoretical probability, equally likely outcomes
  • Be able to list all the possible outcomes when rolling a die
  • By experiment, be able to calculate the relative frequency for each outcome and note how it approaches the theoretical probability as the number of trials increases
  • Be able to distinguish equally likely outcomes from those which are not.
  
Lesson 4 & 5

Learning Outcomes: Students will,

  • Investigate further what the concept of fairness means in a game with 2 dice.
  • List all the possible outcomes for throwing 2 dice using a two way table.
  • Relate the number of outcomes to the fundamental principle of counting
  • Be able to come up with rules for a game which make it fair/unfair
  • Construct a probability table
  • Understand the relationship between an event and its complement
  • Determine the probability of an event using the results of an experiment and can use this to predict the result of a repetition of the experiment, for equally likely outcomes.
  
Lesson 6 Learning Outcomes: Students will,
  • Learn about playing cards in a deck, colours, suits, number of cards etc
  • Calculate the probability of drawing a particular card(s) from a deck
  
Lesson 7 & 8 Learning outcomes: Students will,
  • List the possible outcomes when tossing a coin and calculate the probability of getting a head or a tail.
  • List all the possible outcomes when throwing 2 coins.
  • Relate the number of outcomes to the fundamental principle of counting
  • Determine the probability of an event using the results of an experiment and use this to predict the result of a repetition of the experiment, for equally likely outcomes.
  • Use the term “independent events”
  

 

Student handouts for probability

 This file contains all the student worksheets needed for the teaching and learning plans on probability.  
Link to dice simulation Links to a computer simulation which rolls dice between 1 and 10000 times. A nice way to show how a large number of trials gives results close to the predicted probability.  

 

Difficulties in learning Probability and Statistics

 Challenges when dealing with statistics and probability  

 

Content on Probability and Statistics for Leaving Certificate Higher Level.

 

These Power Point shows contain extremely useful material for teachers when dealing with the content for Leaving Certificate Higher Level Probability and Statistics.

 

1. Introduction

 5. Normal approximation to the Binominal

 

2. Binominal Distribution

 6. Sampling

 

3. Mean & Standard Deviation (Binominal)

 7. Confidence Intervals

 

4. Normal Distribution

 8. Hypothesis testing

 

Statistics

Data Handling Cycle A comprehenisve document dealing with all types of statistical data on the leaving certificate syllabus.

 

Expected Value (with answers)

Expected Value (without answers)

 These activities provide students with an opportunity to construct an understanding of expected value and how the expected value can be used to inform decision making.
   
 Stem and Leaf plot  Student activity for stem and leaf plot.
   
Correlation Cooefficient Calculating the correlation coefficient by eye and by calculator
   

Censusatsch measurement worksheets

 Measurement worksheet for students to fill in before completing census at school survey.

 

Statistics and Data Handling

Statistics and Data handling: A real data approach.
   

 Using mini measuring strips

How to use measuring strips
   

 Census at school

How to register your school with Census at school

 

Files: 
(01 Jan 1970, 0B)