# EDEXCEL FUNCTIONAL SKILLS PILOT

Size: px
Start display at page:

## Transcription

1 EEXEL FUNTIONAL SKILLS PILOT Maths Level hapter 7 Working with probability SETION K Measuring probability 9 Remember what you have learned 3 raft for Pilot Functional Maths Level hapter 7 Pearson Education 008

2 Working with shape and space 5 EEXEL FUNTIONAL SKILLS: interim support material Maths Level arol Roberts hapter 7: Working with probability Use these free pilot resources to help build your learners skill base We are delighted to continue to make available our free pilot learner resources and teacher notes, to help teach the skills learners need to pass Edexcel FS Mathematics, Level. But use the accredited exam material and other resources to prepare them for the real assessment We developed these materials for the pilot assessment and standards and have now matched them to the final specification in the table below. They ll be a useful interim measure to get you started but the assessment guidance should no longer be used and you should make sure you use the accredited assessments to prepare your learners for the actual assessment. New resources available for further support We re also making available new learner and teacher resources that are completely matched to the final specification and assessment and also providing access to banks of the actual live papers as these become available. We recommend that you switch to using these as they become available. overage of accredited specification and standards The table below shows the match of the accredited specification to the unit of pilot resources. This table supersedes the pilot table within the teacher notes. overage and Range Exemplification Learner Unit Use data to assess the likelihood Put events in order of likelihood on a probability scale Justify decisions based on the probability scale Explain results from the context of statistical diagrams and calculations K Measuring probability Wider coverage can be found in our new publishing (see below) K Remember what you have learned Where to find the final specification, assessment and resource material Visit our website then: for the specification and assessments: under Subjects, click on Mathematics (Levels ) for information about resources: under Support, click on Published resources. Published by Pearson Education, Edinburgh Gate, Harlow M0 JE. First published 008. Pearson Education 008. Typeset by Oxford esigners and Illustrators, Oxford This material was developed for use with Edexcel pilot and development centres and is available for continued use with development centres. To become a development centre you need to offer Edexcel Functional Skills. The material may be used only within the Edexcel development centre that has retrieved it. It may be desk printed and/or photocopied for use by learners within that institution. All rights are otherwise reserved and no part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanic, photocopying, recording or otherwise without either the prior written permission of the Publishers or a licence permitting restricted copying in the United Kingdom issued by the opyright Licensing Agency Ltd, Saffron House, 6 0 Kirby Street, London EN 8TS. raft for Pilot Functional Maths Level hapter 7 Pearson Education 008

3 K Working with probability You should already know: simplify common fractions to their lowest terms. By the end of this section you will know how to: use probability to show that some events are more likely to occur than others calculate simple probabilities. Measuring probability The likelihood of events Learn the skill The measure of the likelihood of an event is called the probabilty of an event. Some events are more likely to occur than others. Events that are definitely going to happen are described as certain. People are right when they say, The only thing we can all be sure of is that one day we will die this is a certain event. Events that are definitely not going to happen are described as impossible. Events such as daylight lasting 4 hours in Britain are impossible. Other events may be likely or unlikely. The probability of it raining in England during the summer months is now likely. The probability of winning the National Lottery is unlikely. Try the skill ecide whether the following events are impossible, unlikely, likely or certain. a It will snow on Mount Everest next year b The canteen at a factory serves food for lunch c You win first prize in a competition d There will be a cure for cancer in the next year e All the world s governments will agree to reduce carbon emissions Pearson Education 008 Functional Maths Level hapter 7 page 9 raft for Pilot

4 Measuring probability As there is no chance of impossible events happening, the probability of impossible events is zero. ertain events will definitely happen; the probability of certain events is one. All other events have a probability between 0 and. Unlikely outcomes have a probability closer to 0 than. Likely outcomes have a probability closer to than 0. Outcomes that are equally likely of happening or not happening have a probability of. Example : What is the probability of it being light all night in England? This is an impossible event. Answer: 0 Example : What is the probability of a mother-to-be giving birth to a girl? A boy or a girl child are equally likely. Answer: Example 3: Position these events onto the probability line between 0 and. A When you throw an ordinary coin, it will show heads. B If you live a healthy life you will reach the age of sixty. When you buy a raffle ticket, you will win. Water will freeze at 00. Answer: There is an equal chance of tossing a head or a tail when you throw an ordinary coin, so even A is in the middle. If you live a healthy life, you are reasonably likely to live to be 60 years old, so event B is closer to than 0. When you buy a raffle ticket, you are not very likely to win, so event closer to 0. 0 There is no chance of water freezing at 00 so event is at 0. A B raft for Pilot Functional Maths Level hapter 7 page 0 Pearson Education 008

5 Working with probability 7 Try the skill. Position these events on to the probability line below. 0 a You will eat today. b You will meet an alien today. c You will pass your numeracy test.. A bag of sweets contains 3 humbugs and 3 chocolate limes. If you pick one sweet from the bag without looking, what is the probability that you pick a a sweet? b a stick of chewing gum? c a humbug? Probabilities which are not 0 or We know that the probability of tossing a coin and getting a head with an ordinary coin is. This can also be written as 0.5 or 50%. When you toss a coin, there are only possible outcomes: heads or tails. Heads is outcome out of a possible, or. Tip This leads to a method for calculating probability. The probability of an outcome = number of ways the outcome occurs Total number of outcomes Probabilities can be written in fractions, decimals or percentages. Example : When you throw an ordinary dice, what is the probability of scoring: a 6 b An odd number? a 6 is on one face of the dice. There are 6 faces in total. Answer: Probability (scoring 6) = 6 b There are 3 odd number faces,, 3 and 5. Answer: Probability (scoring an odd number) = 3 6 = Pearson Education 008 Functional Maths Level hapter 7 page raft for Pilot

6 Example : A sock drawer contains red socks, black sock and 5 white socks. If you pick out a sock from the drawer without looking, what is the probability that the sock is: a red b white a There are red socks, and there are 8 socks in total. Answer: Probability (picking out a red sock) = 8 = 4 b There are 5 white socks out of a total of eight. Answer: Probability (picking out a white sock) = 5 8 Remember Simplify fractions to their lowest terms where possible. Try the skill. An ordinary dice is thrown. What is the probability of scoring: a b an even number c a number more than 3 d a number less than 3. A bag of sweets contains 5 toffees, 0 chocolate éclairs and 0 pieces of fudge. If you pick a sweet out at random, what is the probability of picking out: a a toffee b a chocolate éclair Tip At random means not aiming for a particular result. hallenge question! 3. A packet of cards contains 0 cards numbered to 0. All even cards are red and all odd cards are blue. If you pick one card out a random, what is the probability of picking out a card number b a blue card c a card with a multiple of 5 on it Remember Multiples of 5 are 5, 0, 5,... raft for Pilot Functional Maths Level hapter 7 page Pearson Education 008

7 Working with probability 7 Remember what you have learned First complete this The measure of the likelihood of an outcome of an event is called. The probability of an impossible event is. The probability of a certain event is. All probability values are in the range from to. To find the probability of an event occurring, you divide the number of times the outcome can occur by. Practise the skill. The chances of you rowing across the Atlantic Ocean in a paddle boat are: A 0 B between 0 and hour 55 minutes. A four-sided spinner is divided into equal sectors, coloured red, yellow, blue and green. The probability of the spinner landing on red when it is spun is: A 0 B 4 3. Rosie broke her arm last week in an accident. The probability that she will break her other arm this week is: 4. A bag contains black ball, blue balls, 3 green balls and 4 red balls. If you pick a ball out at random, what is the probability that it will be blue? A B A B impossible unlikely likely certain Pearson Education 008 Functional Maths Level hapter 7 page 3 raft for Pilot

### EDEXCEL FUNCTIONAL SKILLS PILOT TEACHER S NOTES. Maths Level 2. Chapter 5. Shape and space

Shape and space 5 EDEXCEL FUNCTIONAL SKILLS PILOT TEACHER S NOTES Maths Level 2 Chapter 5 Shape and space SECTION H 1 Perimeter 2 Area 3 Volume 4 2-D Representations of 3-D Objects 5 Remember what you

### EDEXCEL FUNCTIONAL SKILLS PILOT. Maths Level 2. Chapter 1. Working with whole numbers. SECTION A 1 Place value and rounding 2. 2 Negative numbers 4

EDEXCEL FUNCTIONL SKILLS PILOT Maths Level 2 Chapter 1 Working with whole numbers SECTION 1 Place value and rounding 2 2 Negative numbers 4 3 Factors and multiples 6 4 Estimating and checking 8 5 s for

### Exam Style Questions. Revision for this topic. Name: Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser

Name: Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1. Read each question carefully before you begin answering

### Use a probability line to compare the probability of events. E I will brush my teeth before going to bed tonight. Answers will vary.

Probability Lines Use a probability line to compare the probability of events.. Use words to describe the probability of each event. A I will eat soup for lunch tomorrow. B I will stay up until midnight

### EDEXCEL FUNCTIONAL SKILLS PILOT

EDEXCEL FUNCTIONAL SKILLS PILOT Maths Level 2 Chapter 4 Working with measures SECTION G 1 Time 62 2 Temperature 64 3 Length 65 4 Weight 66 5 Capacity 67 6 Conversion between metric units 68 7 Conversion

### EDEXCEL FUNCTIONAL SKILLS PILOT. English Level 1. Section D. Understanding and writing texts. 1 Writing detailed information 2. 2 Using sentences 7

EDEXCEL FUNCTIONAL SKILLS PILOT English Level 1 Section D Understanding and writing texts D1 Writing clearly 1 Writing detailed information 2 2 Using sentences 7 We are grateful to the following for permission

### 11+ Mathematics - Sample Paper.

11+ Mathematics - Sample Paper. You have 35 minutes to complete this paper. Q 1. Lucy goes to a Holiday Club every weekday for five weeks during the holidays. She pays 0.0 each time she goes. How much

### EDEXCEL FUNCTIONAL SKILLS PILOT. Maths Level 2. Chapter 3. Working with ratio, proportion, formulae and equations

EDEXCEL FUNCTIONL SKILLS PILOT Maths Level 2 Chapter 3 Working with ratio, proportion, formulae and equations SECTION E 1 Writing a ratio 45 2 Scaling quantities up or down 47 3 Calculations with ratio

### EDEXCEL FUNCTIONAL SKILLS PILOT. Maths Level 2. Chapter 2. Working with fractions, decimals and percentages

EEXEL FUNTIONL SKILLS PILOT Maths Level 2 hapter 2 Working with fractions, decimals and percentages SETION Types of fraction 2 Using a calculator for fractions 7 Fractions of quantities 8 4 One number

### Mathematical goals. Starting points. Materials required. Time needed

Level S2 of challenge: B/C S2 Mathematical goals Starting points Materials required Time needed Evaluating probability statements To help learners to: discuss and clarify some common misconceptions about

### EDEXCEL FUNCTIONAL SKILLS PILOT. English Level 1. Section C. Being a skilful speaker and listener

EDEXCEL FUNCTIONAL SKILLS PILOT English Level 1 Section C Being a skilful speaker and listener 1 Taking part in an informal discussion 2 Taking part in a formal discussion Picture Credits The publisher

### 2. How many ways can the letters in PHOENIX be rearranged? 7! = 5,040 ways.

Math 142 September 27, 2011 1. How many ways can 9 people be arranged in order? 9! = 362,880 ways 2. How many ways can the letters in PHOENIX be rearranged? 7! = 5,040 ways. 3. The letters in MATH are

### PROBABILITY AND RELATIVE FREQUENCY

Edexcel GCSE Mathematics (Linear) 1MA0 PROBABILITY AND RELATIVE FREQUENCY Materials required for examination Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser.

### EDEXCEL FUNCTIONAL SKILLS PILOT. Maths Level 1. Chapter 2. Working with fractions, decimals and percentages

EDEXCEL FUNCTIONAL SKILLS PILOT Maths Level Chapter Working with fractions, decimals and percentages SECTION B Understanding fractions 8 Finding fractions of quantities Remember what you have learned SECTION

### TCM040 MSOM NEW:TCM040 MSOM 01/07/2009 12:13 Page 1. A book of games to play with children

TCM040 MSOM NEW:TCM040 MSOM 01/07/2009 12:13 Page 1 A book of games to play with children TCM040 MSOM NEW:TCM040 MSOM 01/07/2009 12:13 Page 2 Contents About this book 3 Find the hidden money 4 Money box

### PROBABILITY. SIMPLE PROBABILITY is the likelihood that a specific event will occur, represented by a number between 0 and 1.

PROBABILITY SIMPLE PROBABILITY SIMPLE PROBABILITY is the likelihood that a specific event will occur, represented by a number between 0 and. There are two categories of simple probabilities. THEORETICAL

### Section 6.2 Definition of Probability

Section 6.2 Definition of Probability Probability is a measure of the likelihood that an event occurs. For example, if there is a 20% chance of rain tomorrow, that means that the probability that it will

### Contemporary Mathematics- MAT 130. Probability. a) What is the probability of obtaining a number less than 4?

Contemporary Mathematics- MAT 30 Solve the following problems:. A fair die is tossed. What is the probability of obtaining a number less than 4? What is the probability of obtaining a number less than

### Year 9 mathematics test

Ma KEY STAGE 3 Year 9 mathematics test Tier 6 8 Paper 1 Calculator not allowed First name Last name Class Date Please read this page, but do not open your booklet until your teacher tells you to start.

### Formula for Theoretical Probability

Notes Name: Date: Period: Probability I. Probability A. Vocabulary is the chance/ likelihood of some event occurring. Ex) The probability of rolling a for a six-faced die is 6. It is read as in 6 or out

### Project Maths. Mathematics Resources for Students. Junior Certificate Strand 1. Statistics and Probability

Project Maths Mathematics Resources for Students Junior Certificate Strand 1 Statistics and Probability NCCA 2009 PROJECT MATHS - Mathematics Resources for Students Introduction This material is designed

### Probability and Statistics is one of the strands tested on the California Standards Test.

Grades 3-4 Probability and Statistics is one of the strands tested on the California Standards Test. Probability is introduced in 3 rd grade. Many students do not work on probability concepts in 5 th grade.

### 7.S.8 Interpret data to provide the basis for predictions and to establish

7 th Grade Probability Unit 7.S.8 Interpret data to provide the basis for predictions and to establish experimental probabilities. 7.S.10 Predict the outcome of experiment 7.S.11 Design and conduct an

### Fundamentals of Probability

Fundamentals of Probability Introduction Probability is the likelihood that an event will occur under a set of given conditions. The probability of an event occurring has a value between 0 and 1. An impossible

### 10-4-10 Year 9 mathematics: holiday revision. 2 How many nines are there in fifty-four?

DAY 1 Mental questions 1 Multiply seven by seven. 49 2 How many nines are there in fifty-four? 54 9 = 6 6 3 What number should you add to negative three to get the answer five? 8 4 Add two point five to

### Deﬁnitely maybe. Activities

3 Deﬁnitely maybe This unit is about probability and working out the chance or likelihood of different events occurring. Do you think the roads are getting busier? The Ofﬁce for National Statistics (ONS)

### It is remarkable that a science, which began with the consideration of games of chance, should be elevated to the rank of the most important

PROBABILLITY 271 PROBABILITY CHAPTER 15 It is remarkable that a science, which began with the consideration of games of chance, should be elevated to the rank of the most important subject of human knowledge.

### PROBABILITY SECOND EDITION

PROBABILITY SECOND EDITION Table of Contents How to Use This Series........................................... v Foreword..................................................... vi Basics 1. Probability All

### Find the indicated probability. 1) If a single fair die is rolled, find the probability of a 4 given that the number rolled is odd.

Math 0 Practice Test 3 Fall 2009 Covers 7.5, 8.-8.3 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the indicated probability. ) If a single

### AP Stats - Probability Review

AP Stats - Probability Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. I toss a penny and observe whether it lands heads up or tails up. Suppose

### Statistics and Probability

Statistics and Probability TABLE OF CONTENTS 1 Posing Questions and Gathering Data. 2 2 Representing Data. 7 3 Interpreting and Evaluating Data 13 4 Exploring Probability..17 5 Games of Chance 20 6 Ideas

### That s Not Fair! ASSESSMENT #HSMA20. Benchmark Grades: 9-12

That s Not Fair! ASSESSMENT # Benchmark Grades: 9-12 Summary: Students consider the difference between fair and unfair games, using probability to analyze games. The probability will be used to find ways

### Probability --QUESTIONS-- Principles of Math 12 - Probability Practice Exam 1 www.math12.com

Probability --QUESTIONS-- Principles of Math - Probability Practice Exam www.math.com Principles of Math : Probability Practice Exam Use this sheet to record your answers:... 4... 4... 4.. 6. 4.. 6. 7..

### Lesson 1. Basics of Probability. Principles of Mathematics 12: Explained! www.math12.com 314

Lesson 1 Basics of Probability www.math12.com 314 Sample Spaces: Probability Lesson 1 Part I: Basic Elements of Probability Consider the following situation: A six sided die is rolled The sample space

### Mental Questions. Day 1. 1. What number is five cubed? 2. A circle has radius r. What is the formula for the area of the circle?

Mental Questions 1. What number is five cubed? KS3 MATHEMATICS 10 4 10 Level 8 Questions Day 1 2. A circle has radius r. What is the formula for the area of the circle? 3. Jenny and Mark share some money

### Homework Activities for Kindergarten

Homework Activities for Kindergarten Listed below are several learning activities for your child to complete at home to reinforce skills being taught in school. The sight words are on the last page. Reading

### Statistics. Head First. A Brain-Friendly Guide. Dawn Griffiths

A Brain-Friendly Guide Head First Statistics Discover easy cures for chart failure Improve your season average with the standard deviation Make statistical concepts stick to your brain Beat the odds at

### Day 1. 1. What number is five cubed? 2. A circle has radius r. What is the formula for the area of the circle?

Mental Arithmetic Questions 1. What number is five cubed? KS3 MATHEMATICS 10 4 10 Level 7 Questions Day 1 2. A circle has radius r. What is the formula for the area of the circle? 3. Jenny and Mark share

### Teaching & Learning Plans. Plan 1: Introduction to Probability. Junior Certificate Syllabus Leaving Certificate Syllabus

Teaching & Learning Plans Plan 1: Introduction to Probability Junior Certificate Syllabus Leaving Certificate Syllabus The Teaching & Learning Plans are structured as follows: Aims outline what the lesson,

### Paper 1. Calculator not allowed. Mathematics test. First name. Last name. School. Remember KEY STAGE 3 TIER 4 6

Ma KEY STAGE 3 Mathematics test TIER 4 6 Paper 1 Calculator not allowed First name Last name School 2007 Remember The test is 1 hour long. You must not use a calculator for any question in this test. You

### 6th Grade Lesson Plan: Probably Probability

6th Grade Lesson Plan: Probably Probability Overview This series of lessons was designed to meet the needs of gifted children for extension beyond the standard curriculum with the greatest ease of use

### Junior Assessment of Mathematics (JAM)

Junior Assessment of Mathematics (JAM) Student Response record sheet Child s Name: Room: Date of birth: Module One: Number (Additive Strategies) 0-1 - Pre Level 1 2-3 - Early Level 1 4 - At Level 1 Early

### 36 Odds, Expected Value, and Conditional Probability

36 Odds, Expected Value, and Conditional Probability What s the difference between probabilities and odds? To answer this question, let s consider a game that involves rolling a die. If one gets the face

### Math 3C Homework 3 Solutions

Math 3C Homework 3 s Ilhwan Jo and Akemi Kashiwada ilhwanjo@math.ucla.edu, akashiwada@ucla.edu Assignment: Section 2.3 Problems 2, 7, 8, 9,, 3, 5, 8, 2, 22, 29, 3, 32 2. You draw three cards from a standard

### Activities/ Resources for Unit V: Proportions, Ratios, Probability, Mean and Median

Activities/ Resources for Unit V: Proportions, Ratios, Probability, Mean and Median 58 What is a Ratio? A ratio is a comparison of two numbers. We generally separate the two numbers in the ratio with a

### Probability Black Line Masters

Probability Black Line Masters Draft (NSSAL) C. David Pilmer 2008 This resource is the intellectual property of the Adult Education Division of the Nova Scotia Department of Labour and Advanced Education.

### A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. Name: Total Marks:

Fractions (F) A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. Name: Total Marks: 1. Find 1 4 of 16..... Emma has done some calculations. Explain

### Probability and Venn diagrams UNCORRECTED PAGE PROOFS

Probability and Venn diagrams 12 This chapter deals with further ideas in chance. At the end of this chapter you should be able to: identify complementary events and use the sum of probabilities to solve

### TWO WAY TABLES. Edexcel GCSE Mathematics (Linear) 1MA0

Edexcel GCSE Mathematics (Linear) 1MA0 TWO WAY TABLES Materials required for examination Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser. Tracing paper may

### Chapter 6. 1. What is the probability that a card chosen from an ordinary deck of 52 cards is an ace? Ans: 4/52.

Chapter 6 1. What is the probability that a card chosen from an ordinary deck of 52 cards is an ace? 4/52. 2. What is the probability that a randomly selected integer chosen from the first 100 positive

### Fun ways to group students

Fun ways to group students Tips for dividing into groups. Picture Cards: Hand out cards with images on such as strawberries, blueberries, blackberries and other such groups of things. Then get them to

### Chapter 16: law of averages

Chapter 16: law of averages Context................................................................... 2 Law of averages 3 Coin tossing experiment......................................................

### Year 2 Summer Term Oral and Mental Starter Activity Bank

Year 2 Summer Term Oral and Mental Starter Activity Bank Objectives for term Recall x2 table facts and derive division facts. Recognise multiples of 5. Recall facts in x5 table. Recall x10 table and derive

### Sue Fine Linn Maskell

FUN + GAMES = MATHS Sue Fine Linn Maskell Teachers are often concerned that there isn t enough time to play games in maths classes. But actually there is time to play games and we need to make sure that

### Statistics and Random Variables. Math 425 Introduction to Probability Lecture 14. Finite valued Random Variables. Expectation defined

Expectation Statistics and Random Variables Math 425 Introduction to Probability Lecture 4 Kenneth Harris kaharri@umich.edu Department of Mathematics University of Michigan February 9, 2009 When a large

### Responsible Gambling Education Unit: Mathematics A & B

The Queensland Responsible Gambling Strategy Responsible Gambling Education Unit: Mathematics A & B Outline of the Unit This document is a guide for teachers to the Responsible Gambling Education Unit:

### STT 200 LECTURE 1, SECTION 2,4 RECITATION 7 (10/16/2012)

STT 200 LECTURE 1, SECTION 2,4 RECITATION 7 (10/16/2012) TA: Zhen (Alan) Zhang zhangz19@stt.msu.edu Office hour: (C500 WH) 1:45 2:45PM Tuesday (office tel.: 432-3342) Help-room: (A102 WH) 11:20AM-12:30PM,

### 1 Combinations, Permutations, and Elementary Probability

1 Combinations, Permutations, and Elementary Probability Roughly speaking, Permutations are ways of grouping things where the order is important. Combinations are ways of grouping things where the order

### Session 8 Probability

Key Terms for This Session Session 8 Probability Previously Introduced frequency New in This Session binomial experiment binomial probability model experimental probability mathematical probability outcome

### You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

Write your name here Surname Other names Pearson Edexcel Certificate Pearson Edexcel International GCSE Mathematics A Paper 2F Centre Number Monday 12 January 2015 Afternoon Time: 2 hours Candidate Number

### Methods Used for Counting

COUNTING METHODS From our preliminary work in probability, we often found ourselves wondering how many different scenarios there were in a given situation. In the beginning of that chapter, we merely tried

### Georgia Standards of Excellence Curriculum Frameworks. Mathematics. GSE Grade 7 Unit 6: Probability

Georgia Standards of Excellence Curriculum Frameworks Mathematics GSE Grade 7 Unit 6: Probability These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement.

### Math Board Games. For School or Home Education. by Teresa Evans. Copyright 2005 Teresa Evans. All rights reserved.

Math Board Games For School or Home Education by Teresa Evans Copyright 2005 Teresa Evans. All rights reserved. Permission is given for the making of copies for use in the home or classroom of the purchaser

### Mathematics A *P44587A0128* Pearson Edexcel GCSE P44587A. Paper 2 (Calculator) Higher Tier. Friday 7 November 2014 Morning Time: 1 hour 45 minutes

Write your name here Surname Other names Pearson Edexcel GCSE Centre Number Mathematics A Paper 2 (Calculator) Friday 7 November 2014 Morning Time: 1 hour 45 minutes Candidate Number Higher Tier Paper

### Statistics. Head First. A Brain-Friendly Guide. Dawn Griffiths

A Brain-Friendly Guide Head First Statistics Discover easy cures for chart failure Improve your season average with the standard deviation Make statistical concepts stick to your brain Beat the odds at

### Foundation 2 Games Booklet

MCS Family Maths Night 27 th August 2014 Foundation 2 Games Booklet Stage Focus: Trusting the Count Place Value How are games used in a classroom context? Strategically selected games have become a fantastic

### V. RANDOM VARIABLES, PROBABILITY DISTRIBUTIONS, EXPECTED VALUE

V. RANDOM VARIABLES, PROBABILITY DISTRIBUTIONS, EXPETED VALUE A game of chance featured at an amusement park is played as follows: You pay \$ to play. A penny and a nickel are flipped. You win \$ if either

### EDEXCEL FUNCTIONAL SKILLS ICT. Study Module 8. Using ICT to communicate

EDEXCEL FUNCTIONAL SKILLS ICT Study Module 8 Using ICT to communicate Published by Pearson Education, Edinburgh Gate, Harlow CM20 2JE Pearson Education 2010 All rights reserved. This material may be used

### Probability. Sample space: all the possible outcomes of a probability experiment, i.e., the population of outcomes

Probability Basic Concepts: Probability experiment: process that leads to welldefined results, called outcomes Outcome: result of a single trial of a probability experiment (a datum) Sample space: all

### Chapter 5 A Survey of Probability Concepts

Chapter 5 A Survey of Probability Concepts True/False 1. Based on a classical approach, the probability of an event is defined as the number of favorable outcomes divided by the total number of possible

### Assessment For The California Mathematics Standards Grade 6

Introduction: Summary of Goals GRADE SIX By the end of grade six, students have mastered the four arithmetic operations with whole numbers, positive fractions, positive decimals, and positive and negative

### Instructions. Information. Advice

Instructions Use black ink or ball-point pen. Fill in the boxes at the top of this page with your name, centre number and candidate number. Answer all questions. Answer the questions in the spaces provided

### Determine the empirical probability that a person selected at random from the 1000 surveyed uses Mastercard.

Math 120 Practice Exam II Name You must show work for credit. 1) A pair of fair dice is rolled 50 times and the sum of the dots on the faces is noted. Outcome 2 4 5 6 7 8 9 10 11 12 Frequency 6 8 8 1 5

### MA 1125 Lecture 14 - Expected Values. Friday, February 28, 2014. Objectives: Introduce expected values.

MA 5 Lecture 4 - Expected Values Friday, February 2, 24. Objectives: Introduce expected values.. Means, Variances, and Standard Deviations of Probability Distributions Two classes ago, we computed the

### mep Mathematics Enhancement Programme Help Module 10 PROBABILITY Part A Contents of Part A Contents of Part B Preface Activities Tests Answers

0A Probability mep Mathematics Enhancement Programme Help Module 0 PROBABILITY Part A Contents of Part A Preface Introductory Notes Worked Examples and Exercises Answers Contents of Part B Preface Activities

### Example: Find the expected value of the random variable X. X 2 4 6 7 P(X) 0.3 0.2 0.1 0.4

MATH 110 Test Three Outline of Test Material EXPECTED VALUE (8.5) Super easy ones (when the PDF is already given to you as a table and all you need to do is multiply down the columns and add across) Example:

### Oral and mental starter

Lesson Objectives Order fractions and position them on a number line (Y6) Vocabulary gauge, litre numerator, denominator order Resources OHT. individual whiteboards (optional) Using fractions Oral and

### Chapter 4 & 5 practice set. The actual exam is not multiple choice nor does it contain like questions.

Chapter 4 & 5 practice set. The actual exam is not multiple choice nor does it contain like questions. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

### Year 9 mathematics test

Ma KEY STAGE 3 Year 9 mathematics test Tier 5 7 Paper 1 Calculator not allowed First name Last name Class Date Please read this page, but do not open your booklet until your teacher tells you to start.

### MEP Pupil Text 5. (a) You are equally likely to get any of the six numbers. Yes, in fact you would expect to get about 100 of each number.

Probability. Probabilities MEP Pupil Text Probabilities are used to describe how likely or unlikely it is that something will happen. Weather forecasters often talk about how likely it is to rain, or perhaps

### Section 7C: The Law of Large Numbers

Section 7C: The Law of Large Numbers Example. You flip a coin 00 times. Suppose the coin is fair. How many times would you expect to get heads? tails? One would expect a fair coin to come up heads half

### PE in Primary Schools Resource Summer Games

PE in Primary Schools Resource Summer Games 1 2 PE in Primary Schools Resource Summer Games Ollie Dowding Kerri Brown Tom Eisenhuth Athletics Cricket Golf Page 5-10 Page 16-21 Page 22-27 3 Example Key

### Discovering Math: Prediction and Probability Teacher s Guide

Teacher s Guide Grade Level: K 2 Curriculum Focus: Mathematics Lesson Duration: Two class periods Program Description Discovering Math: Prediction and Probability From likelihood to frequency to prediction,

### MATH 140 Lab 4: Probability and the Standard Normal Distribution

MATH 140 Lab 4: Probability and the Standard Normal Distribution Problem 1. Flipping a Coin Problem In this problem, we want to simualte the process of flipping a fair coin 1000 times. Note that the outcomes

### Question: What is the probability that a five-card poker hand contains a flush, that is, five cards of the same suit?

ECS20 Discrete Mathematics Quarter: Spring 2007 Instructor: John Steinberger Assistant: Sophie Engle (prepared by Sophie Engle) Homework 8 Hints Due Wednesday June 6 th 2007 Section 6.1 #16 What is the

### Unit Plan - Gr. 6/7 Data Management and Probability- Term 3

Grade 6 OEs and SEs Unit Plan - Gr. 6/7 Data Management and Probability- Term 3 OEs: - determine the theoretical probability of an outcome in a probability experiment,and use it to predict the frequency

### California Treasures High-Frequency Words Scope and Sequence K-3

California Treasures High-Frequency Words Scope and Sequence K-3 Words were selected using the following established frequency lists: (1) Dolch 220 (2) Fry 100 (3) American Heritage Top 150 Words in English

### MATHS ACTIVITIES FOR REGISTRATION TIME

MATHS ACTIVITIES FOR REGISTRATION TIME At the beginning of the year, pair children as partners. You could match different ability children for support. Target Number Write a target number on the board.

### Fifth Grade Physical Education Activities

Fifth Grade Physical Education Activities 89 Inclement Weather PASS AND COUNT RESOURCE Indoor Action Games for Elementary Children, pg. 129 DESCRIPTION In this game, students will be ordering whole numbers.

### Has difficulty with counting reliably in tens from a multiple of ten

Has difficulty with counting reliably in tens from a multiple of ten Opportunity for: looking for patterns 5 YR / 100-square Tens cards (Resource sheet 24) Multiples of ten (10 100) written on A5 pieces

### ACMS 10140 Section 02 Elements of Statistics October 28, 2010. Midterm Examination II

ACMS 10140 Section 02 Elements of Statistics October 28, 2010 Midterm Examination II Name DO NOT remove this answer page. DO turn in the entire exam. Make sure that you have all ten (10) pages of the examination

### You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

Write your name here Surname Other names Edexcel IGCSE Mathematics B Paper 1 Centre Number Candidate Number Monday 6 June 2011 Afternoon Time: 1 hour 30 minutes Paper Reference 4MB0/01 You must have: Ruler

### Chapter 16. Law of averages. Chance. Example 1: rolling two dice Sum of draws. Setting up a. Example 2: American roulette. Summary.

Overview Box Part V Variability The Averages Box We will look at various chance : Tossing coins, rolling, playing Sampling voters We will use something called s to analyze these. Box s help to translate

### 6.3 Conditional Probability and Independence

222 CHAPTER 6. PROBABILITY 6.3 Conditional Probability and Independence Conditional Probability Two cubical dice each have a triangle painted on one side, a circle painted on two sides and a square painted

### Ready, Set, Go! Math Games for Serious Minds

Math Games with Cards and Dice presented at NAGC November, 2013 Ready, Set, Go! Math Games for Serious Minds Rande McCreight Lincoln Public Schools Lincoln, Nebraska Math Games with Cards Close to 20 -

### Commutative Property Grade One

Ohio Standards Connection Patterns, Functions and Algebra Benchmark E Solve open sentences and explain strategies. Indicator 4 Solve open sentences by representing an expression in more than one way using

### Math Common Core Sampler Test

Math Common Core Sampler Test This sample test reviews the top 20 questions we have seen on the 37 assessment directly written for the Common Core Curriculum. This test will be updated as we see new questions

### Contemporary Mathematics Online Math 1030 Sample Exam I Chapters 12-14 No Time Limit No Scratch Paper Calculator Allowed: Scientific

Contemporary Mathematics Online Math 1030 Sample Exam I Chapters 12-14 No Time Limit No Scratch Paper Calculator Allowed: Scientific Name: The point value of each problem is in the left-hand margin. You