Prior Content: Properties of Numbers, Decimals, Fractions, Basic Probability, Multiple Events
Possible Next Steps: Tree Diagrams
Contents
- 1.1 Set Notation: Sets, The Universal Set & The Empty Set
- 1.2 Set Notation: Union & Intersection
- 1.3 Set Notation: Elements, Complements & no. of Elements in Sets
- 1.4 Set Notation: Subsets & Groups of Numbers (with Notation)
- 1.5 Set Notation: Set Builder Notation
- 2.1 Populating Sets in Venn Diagrams & Venn vs Euler Diagrams
- 2.2 Shading Sets: Simple Intersection & Union
- 2.3 Shading Sets: More Complicated Shading
- 2.4 Shading Sets: Three or More Sets
- 3.1 Finding Probability in Sets
- 3.2 Conditional Probability in Sets
- Whole Topic Summary Resources (Including Past Paper Questions)
1.1 Set Notation: Sets, The Universal Set & The Empty Set
Teaching Videos, Exercises & Activities
Tutorial Videos
What is a Universal Set? | Don't Memorise by Sri Chaitanya Academy NEET
Set Notation | Numbers | Maths | FuseSchool by FuseSchool – Global Education
The Empty Set or the Null Set , Intermediate Algebra , Lesson 27 by Learn Math Tutorials
Corbett Maths Set Notation Covering Elements, The Universal Set, Union, Intersection & Complement
Online Platforms (with Videos & Exercises)
Activities & Resources
- Andy Lutwyche
- Ticktock Maths
- Set Notation lesson (slides)
Worksheets
- Dr Austin Maths
- Maths 4 Everyone
- CIMT MEP (online self-checking)
- MME
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
Extension Materials
1.2 Set Notation: Union & Intersection
Teaching Videos, Exercises & Activities
Tutorial Videos
Intersection and union of sets by Khan Academy
Sets and Venn Diagrams (Edexcel) – GCSE Maths by 1st Class Maths
Clip 127 Venn Diagrams Notation by MathsWatch
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
- Andy Lutwyche
- Math = Love (Sarah Carter)
- Transum
- Go Teach Maths
- Ticktock Maths
Worksheets
- Dr Austin Maths
- Maths 4 Everyone
- Jo Morgan
- Set notation worksheet✦ (by Jo Morgan)
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
Extension Materials
1.3 Set Notation: Elements, Complements & no. of Elements in Sets
Teaching Videos, Exercises & Activities
Tutorial Videos
What is a Set Complement? by Wrath of Math
Determine the Number Elements in a Set From a Venn Diagram by Mathispower4u
Venn Diagrams & Set Theory | GCSE Maths Tutor by The GCSE Maths Tutor
Online Platforms (with Videos & Exercises)
Activities & Resources
- Andy Lutwyche
- Go Teach Maths
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
Extension Materials
1.4 Set Notation: Subsets & Groups of Numbers (with Notation)
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Rational & Irrational Numbers
1.2 (1 of 5) 5 Main Sets of Numbers, Size of Sets by Jessie Mason
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
- Set Notation ppt (Slides 13-16)
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
- 333a: Determine whether a number is in mathbbN and/or mathbbZ
- 333b: Determine if a number is rational or irrational.
- 333c: Determine whether a number is in mathbbN, mathbbZ, mathbbR and/or mathbbQ
- 333d: Represent an inequality on a number line, considering only a given infinite number set.
- 333: Exam Practice: Infinite number sets
Extension Materials
1.5 Set Notation: Set Builder Notation
Teaching Videos, Exercises & Activities
Tutorial Videos
Set Builder Notation and Roster Method by The Organic Chemistry Tutor
Introduction to Set-Builder Notation 127-1.16 by HCCMathHelp
Set-Roster vs Set-Builder notation by Dr. Trefor Bazett
How do we Represent Sets? by Don’t Memorise
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
- Set Notation ppt (Slides 1-5)
- Set Notation Practice
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
- 457a: Use set notation to represent a single one-ended or two-ended range of values for a variable. (not yet active)
- 457b: Use set notation to represent multiple ranges of values for a variable. (not yet active)
- 457c: Use set notation to represent more advanced discrete sets, e.g. odd numbers. (not yet active)
- 457: Exam Practice: Set builder notation
Extension Materials
2.1 Populating Sets in Venn Diagrams & Venn vs Euler Diagrams
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Venn Diagrams ( Up to 7:22)
Online Platforms (with Videos & Exercises)
- Khan Academy
- Venn diagrams & probability: Videos & practice
Activities & Resources
- Pixi Maths
- Andy Lutwyche
- Codebreaker
- Clumsy Clive
- Spiders
- Matching
- Crack The Safe
- Codebreakers
- X-Men
- X-Men Venn Diagrams 2 (TES, free login)
- Math = Love (Sarah Carter)
- The Chalkface
- Braille Venn: PDF · PowerPoint
- Venn Diagrams: Excel (if macros are blocked: right-click the file › Properties › tick Unblock)
- Flag Venn Diagrams: PDF
- Transum
- Goal Free Problems
- Go Teach Maths
- Ticktock Maths
- Venn Diagrams lesson (slides)
Worksheets
- Dr Austin Maths
- CIMT MEP (online self-checking)
- Miss Konstantine (MathsHKO)
- Maths Genie
- Venn Diagrams: Booklet · Worksheet · Solutions · Lesson · Topic page
- Access Maths
- MME
- Mr Morley Maths
- Venn Diagrams and Set Notation: Notes jotter/worksheet · Exam questions · Mark scheme
Dr Frost Resources
Dr Frost Video
K465: Construct a Venn Diagram With 2 Sets.
K466: Construct a Venn Diagram With 3 Sets.
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
- 242a: Understand what is represented by each region or group of regions in a Venn diagram with 2 sets.
- 242b: Draw a Venn diagram to indicate relationships between different groups.
- 242c: Construct a Venn diagram with 2 sets from a list of elements.
- 242d: Construct a Venn diagram with 2 sets given totals where the intersection is given.
- 242e: Construct a Venn diagram with 2 sets given totals where the intersection is not given.
- 242f: Construct a Venn diagram for mutually exclusive events.
- 242g: Construct a Venn diagram where one set is a subset of another.
- 242h: Construct a Venn diagram with 3 sets given totals.
- 242i: Construct a Venn diagram involving algebraic frequencies.
- 242j: Determine the value of a variable given algebraic frequencies in a Venn diagram.
- 243i: Construct a Venn diagram of frequencies given numbers of elements in various sets.
- 243j: Determine the number of elements in a given set by constructing a Venn diagram of frequencies.
- 242: Exam Practice: Construct Venn diagrams
- 243: Exam Practice: Union, intersection and complements of sets, including the universal and empty sets
Extension Materials
2.2 Shading Sets: Simple Intersection & Union
Teaching Videos, Exercises & Activities
Tutorial Videos
Venn Diagrams: Shading Regions for Two Sets by Patrick J
Shading Venn diagrams by Kisembo Physics And Math
Shade Venn Diagram Two Sets Union Intersection Complements Combinations by Anil Kumar
Online Platforms (with Videos & Exercises)
Activities & Resources
- Andy Lutwyche
- Transum
- Go Teach Maths
Worksheets
- CIMT MEP (online self-checking)
- Mathshelper (Jon Stone)
- Pret Homework (@RBeckett_Yd)
- Sets & Venn Diagrams (@RBeckett_Yd, pptx)
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
Extension Materials
2.3 Shading Sets: More Complicated Shading
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Venn Diagrams
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
- Set Notation ppt (Slides 6-9)
- Demo
- Shading Task
- Transum
- Venn Paint✦ (Level 1)
Worksheets
- Dr Austin Maths
- Two Venn Diagrams Practice Strips (Word | PDF | Answers)
- Venn Diagrams Notation Fill In The Blanks (Word | PDF | Answers)
- Notation and Venn Diagrams Practice Grid (Word | PDF | Answers)
- Two Venn Diagrams Practice Grid (Word | PDF | Answers)
- Two Practical Problems Practice Strips (Word | PDF | Answers)
- Harder Two Practical Problems Practice Strips (Word | PDF | Answers)
Dr Frost Resources
Dr Frost Video
K467: Describe a Shaded Region on a Venn Diagram Using Set Notation.
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
2.4 Shading Sets: Three or More Sets
Teaching Videos, Exercises & Activities
Tutorial Videos
Venn Diagrams: Shading Regions with Three Sets, Part 1 of 2 by Patrick J
How do we Visualize Regions in a 3 Set Venn Diagram? | Don't Memorise by Sri Chaitanya Academy NEET
Online Platforms (with Videos & Exercises)
Activities & Resources
- Transum
- Math = Love (Sarah Carter)
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
Extension Materials
3.1 Finding Probability in Sets
Teaching Videos, Exercises & Activities
Tutorial Videos
Probability – Drawing Venn Diagrams by XL Education
Probability Grade 10 | Venn Diagram by Kevinmathscience
Problem Solving with Venn Diagrams (Harder Venn Diagrams!) by The GCSE Maths Tutor
Online Platforms (with Videos & Exercises)
Activities & Resources
- Go Teach Maths treasure trove of activities & ppts
- Andy Lutwyche
- Don Steward
- Go Teach Maths
- nottcl
Worksheets
- Dr Austin Maths (Not Part c Onwards)
- Pixi Maths
- Venn diagrams and Probability RAG (Final Q is Conditional)
- CIMT MEP (online self-checking)
- Miss Konstantine (MathsHKO)
- Mathshelper (Jon Stone)
- Naiker Maths
- Venn Diagrams: Worksheet
- Physics & Maths Tutor
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
- 355a: Calculate probabilities of a single region using a Venn diagram with two non-mutually exclusive sets.
- 355b: Calculate probabilities of multiple regions using a Venn diagram with two non-mutually exclusive sets.
- 355c: Calculate probabilities using a Venn diagram with three non-mutually exclusive sets.
- 355d: Calculate probabilities by drawing a Venn diagram with two non-mutually exclusive sets.
- 355e: Calculate probabilities by drawing a Venn diagram with three non-mutually exclusive sets.
- 355f: Determine a probability where the selection is made from a subgroup of a Venn diagram.
- 355g: Calculate an unknown variable in algebraic frequencies, given a probability when a selection is made from a subgroup of the Venn diagram.
- 356a: Use set notation to calculate probabilities of mutually exclusive events from a Venn diagram filled with frequencies.
- 356b: Use set notation to calculate probabilities of non-mutually exclusive events from a Venn diagram filled with frequencies.
- 356c: Use set notation to calculate probabilities of non-mutually exclusive events from a Venn diagram filled with elements.
- 356d: Calculate a probability involving set notation by constructing a Venn diagram.
- 355: Exam Practice: Probabilities from Venn diagrams (no set notation)
- 356: Exam Practice: Probabilities from Venn diagrams using set notation
Extension Materials
3.2 Conditional Probability in Sets
Teaching Videos, Exercises & Activities
Tutorial Videos
Conditional Probability in Venn Diagrams : ExamSolutions by ExamSolutions
Conditional Probability – GCSE Higher Maths by 1st Class Maths
Conditional Probability With Venn Diagrams & Contingency Tables by The Organic Chemistry Tutor
Online Platforms (with Videos & Exercises)
- Khan Academy
- Conditional probability: Videos & practice
Activities & Resources
- WW Conditional Probability Visual Method ppt
- Don Steward
Worksheets
- Dr Austin Maths (Part c Onwards for Conditional Questions)
- Pixi Maths
- Venn diagrams and Probability RAG (Final Q is Conditional)
- Naiker Maths
- Venn Diagrams (Including Conditional Probability): Worksheet
- Physics & Maths Tutor
- Mr Morley Maths
- Venn Diagrams (Advanced): Notes jotter/worksheet · Exam questions · Mark scheme
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
- 357d: Determine a conditional probability from a Venn diagram filled with frequencies. (not yet active)
- 357e: Determine a conditional probability from a Venn diagram filled with elements. (not yet active)
- 635g: Use a Venn Diagram to find the probability of a conjunction using the conditional probability formula.
- 357: Exam Practice: Conditional probability (no set notation)
Extension Materials
Other Videos & Multimedia
Activities & Resources
Whole Topic Summary Resources (Including Past Paper Questions)
Download Sets 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
- Sets as PowerPoint or PDF
- Venn diagrams as PowerPoint or PDF
Worksheets
- Dr Austin Maths
- Maths 4 Everyone
- Pixi Maths
- Andy Lutwyche
- Mathshelper (Jon Stone)
- MathedUp
- Venn Diagrams & Conditional Probability: Worksheet · Practice · Quiz · Question Gallery
- Set Notation: Worksheet · Practice · Quiz · Question Gallery
- Mathsaurus (Kevin Olding)
External Whole Topic Past Paper Style Questions
- Transum
- Exam-style questions: Sets
- AQA (All About Maths)
- Bridging the Gap Pocket 5: Set Notation, Number Lines and Venn Diagrams (AQA KS3-4 Bridging the Gap, Word)
Activities
- The Calculator Guide
- aliali
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