Prior Content: Decimals, Fractions, Grouped Data
Possible Next Steps: Tree Diagrams, Multiple Events, Sets, Pie Charts
Contents
- 1.1 Impossible to Certain Scale
- 1.2 Simple Probabilities as FDPR
- 1.3.1 Summing to One
- 1.3.2 Tables of Probabilities
- 2.1 Two-Way Tables/ Probability Spaces & Introduction to Conditional Probability
- 3.1 Experimental Probabilities
- 3.2 Expected Outcomes
- Whole Topic Summary Resources (Including Past Paper Questions)
1.1 Impossible to Certain Scale
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Probability Scale
Online Platforms (with Videos & Exercises)
- Khan Academy
- Basic probability: Videos & practice
Activities & Resources
- Pixi Maths
- Probability ppt (Slides 1-16)
- Andy Lutwyche
- Line Codebreaker
- Defuse The Bomb – Probability Scale (TES, free login)
- Transum
- Go Teach Maths
- NCETM
- Standards Unit (DfES)
- Standards Unit S1: Ordering Probabilities (Standards Unit, DfES; PDF
Worksheets
- Andy Lutwyche
- Codebreaker (TES Account Required)
- Corbettmaths
- CIMT MEP (online self-checking)
- Pret Homework (@Mzmilburn)
- Probability Descriptions (@Mzmilburn, pdf)
Dr Frost Resources
Dr Frost Video
K72: Describe Probabilities Using Worded Terms.
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 247a: Determine the most likely or least likely event from a list.
- 247b: Describe probabilities using worded terms.
- 247c: Find possible outcomes given a worded probability.
- 247d: Compare likelihood between events.
- 247e: Determine outcomes based on relative likelihood of events.
- 247f: Understand the probability scale from 0 to 1.
- 248d: Place an event on a probability scale from 0 to 1.
- 247: Exam Practice: Probabilities using worded terms or placed on a number line between 0 and 1
- 248: Exam Practice: Theoretical probabilities using counts
Extension Materials
1.2 Simple Probabilities as FDPR
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Probability
Online Platforms (with Videos & Exercises)
- Khan Academy
- Introduction to probability: Videos & practice
Activities & Resources
- Pixi Maths
- Probability ppt (Slides 17-30)
- Andy Lutwyche
- Don Steward
- The Chalkface
- Hi-Lo game: Excel (if macros are blocked: right-click the file › Properties › tick Unblock)
- Transum
- Interactive Maths
- Goal Free Problems
- Go Teach Maths
- CIMT MEP
- Dan Walker
- MathsPad
- BossMaths
- Mathematics Assessment Project
- variationtheory.com
- Ticktock Maths
Worksheets
- Dr Austin Maths
- Theoretical with Dice Practice Grid (Word | PDF | Answers)
- Theoretical with Spinners Practice Grid (Word | PDF | Answers)
- Theoretical with Counters Practice Grid (Word | PDF | Answers)
- Theoretical with Playing Cards Practice Grid (Word | PDF | Answers)
- Theoretical Practice Strips (Word | PDF | Answers)
- Theoretical Odd One Out (Word | PDF | Answers)
- Maths 4 Everyone
- Transum Level 1-2 Probability online worksheet
- Self Marking Sheets by Phil Rhodes
- Probability Basics Excel File
- CIMT MEP (online self-checking)
- Miss Konstantine (MathsHKO)
- Access Maths
- MME
- dh2119
- Mr Morley Maths
- Introduction to Probability: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
- Pret Homework (@MissBsResources)
- Probability (@MissBsResources, pdf)
Dr Frost Resources
Dr Frost Video
K75: Calculate Probabilities.
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
Extension Materials
1.3.1 Summing to One
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Probability of Not Happening
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
- Probability ppt (Slides 34 Onwards)
- Go Teach Maths
- BossMaths
- steele1989
- Ticktock Maths
- Probabilities Sum to 1 lesson (slides)
Worksheets
- Pixi Maths
- CIMT MEP (online self-checking)
- Physics & Maths Tutor
Dr Frost Resources
Dr Frost Video
K79: Find the Probability of an Event not Happening.
K78: Probability of Mutually Exclusive Events.
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 248b: Determine the probability of an event not occurring using counts.
- 250a: Determine the probability of an event not happening.
- 250b: Determine the probability of one event or another mutually exclusive event occurring.
- 250c: Determine the probability of a mutually exclusive event given the probabilities of all others.
- 248: Exam Practice: Theoretical probabilities using counts
- 250: Exam Practice: Probabilities of mutually exclusive events
Extension Materials
1.3.2 Tables of Probabilities
Teaching Videos, Exercises & Activities
Tutorial Videos
Sample Spaces | Statistics & Probability | Maths | FuseSchool by FuseSchool – Global Education
What are Sample Space Diagrams (+ how to use them) | Probability by Beat the Calculator
Sample Space Diagrams (Two-Way Tables) | GCSE Maths by Jack's Maths
Corbett Maths Listing Outcomes
Online Platforms (with Videos & Exercises)
Activities & Resources
- Goal Free Problems
Worksheets
Dr Frost Resources
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 250d: Determine probabilities of mutually exclusive events with a given relationship.
- 250e: Find possible outcomes given numeric probabilities of mutually exclusive events.
- 250f: Determine the frequency of an outcome given its theoretical probability and the total frequency.
- 250g: Determine the total frequency given the frequency of an outcome and its theoretical probability.
- 250h: Use the frequency of one outcome to find the frequency of another given their theoretical probabilities.
- 250i: Determine the number of objects added or removed given a change in relative frequency.
- 250: Exam Practice: Probabilities of mutually exclusive events
Extension Materials
2.1 Two-Way Tables/ Probability Spaces & Introduction to Conditional Probability
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Sample Space Diagrams
Corbett Maths Two Way Tables
Online Platforms (with Videos & Exercises)
- Khan Academy
- Two-way tables: Videos & practice
- Sample spaces & compound events: Videos & practice
Activities & Resources
- Pixi Maths
- Andy Lutwyche
- Math = Love (Sarah Carter)
- Noble Stat Man
- Don Steward
- Transum
- Access Maths
- Goal Free Problems
- Mr Draper Maths Reasoning With Frequency Trees✦
- Go Teach Maths
- thewessens.net Classroom Apps
- Prisoner (dice game: find the best strategy using the sample space of dice differences)
- NRICH
- variationtheory.com
- steele1989
- BossMaths
- alisongilroy
- DaveGale
- m4ths.com
- Ticktock Maths
- Two Way Tables lesson (slides)
Worksheets
- Dr Austin Maths
- Practice Strips (Word | PDF | Answers)
- Listing Outcomes and Sample Spaces Practice Strips (Word | PDF | Answers)
- Sample Spaces Fill in the Blanks (Word | PDF | Answers)
- Constructing Two-Way Tables Practice Grid (Word | PDF | Answers)
- Completing Two-Way Tables Practice Grid (Word | PDF | Answers)
- Finding from Two-Way Tables Practice Grid (Word | PDF | Answers)
- Corbettmaths
- Sample Space Diagrams Practice Questions & Solutions
- Sample Spaces Worksheet & Solutions
- Two-Way Tables Practice Questions & Solutions
- Two-Way Tables Worksheet & Solutions
- Pixi Maths
- Self Marking Sheets by Phil Rhodes
- Probability Sample Space Diagrams Google Sheet
- CIMT MEP (online self-checking)
- Miss Konstantine (MathsHKO)
- Maths Genie
- Two Way Tables: Booklet · Worksheet · Solutions · Lesson · Topic page
- Physics & Maths Tutor
- MME
- Just Maths
- Mr Morley Maths
- Two-Way Tables: Notes jotter/worksheet · Exam questions · Mark scheme
- Sample Space Diagrams: Notes jotter/worksheet · Exam questions · Mark scheme
- Pret Homework (@missnmaths)
- Two-Way Tables (@missnmaths, pptx)
- Pret Homework (Rachel Mahoney)
- Sample Space Diagrams (Rachel Mahoney, docx)
Dr Frost Resources
Dr Frost Video
K84: Draw a Two-Way Table.
K85: Draw a Frequency Tree.
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 238a: Read values off a two-way table. (not yet active)
- 238b: Complete a partially filled two-way table.
- 238c: Complete an empty two-way table using written information. (not yet active)
- 238d: Use written information to determine an unknown frequency, via use of a two-way table. (not yet active)
- 238e: Determine a proportion from a two-way table. (not yet active)
- 241a: Read values off a frequency tree.
- 241b: Draw a frequency tree from written information.
- 248e: Determine a probability using the total frequency in a two-way table.
- 248f: Determine a probability within a subgroup of a two-way table.
- 248g: Determine a probability using the total frequency in a frequency tree.
- 248h: Determine a probability within a subgroup of a frequency tree.
- 249a: List combined outcomes (not in a table) where one or both sets of outcomes are non-numeric.
- 249b: List combined outcomes in a table, where one or both sets of outcomes are non-numeric.
- 249c: List combined outcomes using a sample space, using an arithmetic operator.
- 249d: Determine a probability from a given sample space.
- 249e: Determine the probability of a combined outcome where the sample space is not given.
- 357a: Determine a conditional probability from a two-way table. (not yet active)
- 357b: Determine a conditional probability from a frequency tree. (not yet active)
- 238: Exam Practice: Two-way tables
- 241: Exam Practice: Frequency trees
- 248: Exam Practice: Theoretical probabilities using counts
- 249: Exam Practice: Sample space diagrams
- 357: Exam Practice: Conditional probability (no set notation)
Extension Materials
3.1 Experimental Probabilities
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Relative Frequency
Online Platforms (with Videos & Exercises)
- Khan Academy
- Theoretical & experimental probability: Videos & practice
Activities & Resources
- Dr Austin Maths
- Transum Pin Drop activity with follow up questions based on data collected
- Math = Love (Sarah Carter)
- MEP
- Don Steward
- The Chalkface
- Probability Simulation: Excel · Excel (if macros are blocked: right-click the file › Properties › tick Unblock)
- Coin Toss Challenge: PowerPoint
- Snail Race: PDF
- Transum
- Go Teach Maths
- thewessens.net Classroom Apps
- Crazy Dice (simulate non-transitive dice and compare experimental probabilities)
- BossMaths
- Jo Morgan
- Experimental vs theoretical probability activity✦ (by Jo Morgan)
- Ticktock Maths
- Relative Frequency lesson (slides)
- NCETM
Worksheets
- Dr Austin Maths
- Corbettmaths
- Relative Frequency Practice Questions & Solutions
- Relative Frequency Worksheet & Solutions
- Transum Level 3 Probability using recorded outcomes to estimate results online worksheet
- CIMT MEP (online self-checking)
- Naiker Maths
- Probability (Relative Frequency): Worksheet
- Physics & Maths Tutor
- MME
- Mr Morley Maths
- Relative Frequency and Expected Outcomes: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
Dr Frost Resources
Dr Frost Video
K269: Determine the Relative Frequency of an Outcome.
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
Extension Materials
3.2 Expected Outcomes
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Relative Frequency
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
- Miss Konstantine (MathsHKO)
- Math = Love (Sarah Carter)
- Don Steward
- The Chalkface
- Goal Free Problems
- Go Teach Maths
- BossMaths
- Ticktock Maths
- Expectation in Probability lesson (slides)
Worksheets
- Corbettmaths
- Relative Frequency Practice Questions & Solutions
- Relative Frequency Worksheet & Solutions
- Pixi Maths
- Dr Austin Maths
- Access Maths
Dr Frost Resources
Dr Frost Video
K270: Work Out an Expected Value Given Repeated Trials.
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 251c: Use a theoretical probability to work out an expected value for a fair event.
- 251d: Use a theoretical probability to work out an expected value for a biased event.
- 251e: Use a relative frequency to estimate an expected value.
- 251g: Work out an expected value from a table with missing probabilities in the table.
- 251h: Use expected values to calculate profit.
- 251i: Solve a problem involving expected counts.
- 251: Exam Practice: Experimental probabilities, expectation and bias
Extension Materials
Whole Topic Summary Resources (Including Past Paper Questions)
Download Basic Probability PPQs as WW Powerpoint for Edexcel IGCSE, AQA GCSE, Edexcel GCSE or OCR GCSE (or all GCSE together)
Other Whole Topic Resources
Acute Learning Problem Pairs
- Probability as PowerPoint or PDF
Worksheets
- Dr Austin Maths
- Maths 4 Everyone
- Andy Lutwyche
- Mathshelper (Jon Stone)
- MathedUp
- Probability: Sample Space & Frequency: Worksheet · Practice · Quiz · Question Gallery
- Relative Frequency & Expected Outcomes: Worksheet · Practice · Quiz · Question Gallery
- Maths Genie
- Probability: Booklet · Worksheet · Solutions · Lesson · Topic page
- Probability: Booklet · Worksheet · Solutions · Lesson · Topic page
- Mathsaurus (Kevin Olding)
- Dr Frost
- MathsPad
- Jo Morgan
- Fingertip knowledge (Foundation): probability✦ (by Jo Morgan)
- Accessible probability (spinners) slides✦ (by Jo Morgan)
Activities
- Math = Love (Sarah Carter)
- NRICH (student problems)
- Don Steward
- Go Teach Maths
- Desmos
- Standards Unit S2 – Evaluating Probability Statements (by Ben Sparks: card sort on common probability misconceptions)
- Dr Austin Maths
External Whole Topic Past Paper Style Questions
- Transum
- Exam-style questions: Probability✦
✦ Links marked ✦ are also featured and recommended by Jo Morgan on Resourceaholic.