List outcomes in a sample space diagram (two-way table) and calculate probabilities
Learn how to construct and interpret sample space diagrams (two-way tables) including calculating probabilities, for a variety of contexts.
Unit: Probability 2 (Sample space, Venn diagrams and experimental)
Lessons:
4 lessons
Calculate experimental probabilities and make predictions (relative frequency)
Learn how to record data in a relative frequency table and use the probabilities to make predictions, including scenarios such as spinners or rolling dice.
Find probabilities from Venn diagrams including basic set notation
Calculate probabilities from Venn diagrams with 2 or more sets, including using the correct notation for union, intersect and complement. It is useful to have a knowledge of how to draw Venn diagrams prior to this lesson but this skill is revised.
Find probabilities from frequency trees
Use frequency trees to find probabilities including revision on how to draw frequency trees given some information.
Units in Maths
Units in Handling Data/Probability (D)
- Directed Numbers
- 4 Rules of Number
- Types of numbers
- Rules of Indices (numbers)
- Collecting like terms, simplifying
- Expand and simplify brackets
- Rules of Indices
- Solving equations 1 (One step, Two Step and Brackets)
- Solving equations 2 (Simple algebraic fractions)
- Substitution and Rearranging formulae
- Reflection
- Rotation and Enlargement
- Pythagoras Theorem 1
- Pythagoras Theorem 2
- Factors Multiple and Primes
- Venn Diagrams
- HCF and LCM
- Rounding and Estimating
- Factorising (single bracket)
- Factorise and solve a quadratic (a=1)
- Solve Inequalities and Represent on Number Line
- Linear Sequences
- Fraction equivalents
- Fractions 1 (adding and subtracting)
- Fractions 2 (multiplying and dividing)
- Fraction Change
- Simple Graphs
- Straight Line Graphs (y=mx+C)
- Quadratic Graphs 1 (a=1)
- Percentages
- Percentage increase and decrease
- Repeated Percentage Change
- FDP Equivalents
- Decimals
- Ratio 1
- Area and Perimeter
- Circles
- Parts of circles 1 (Semi and quarter circles)
- Volume and Surface Area 1 (Prisms)
- Simplifying Surds
- Adding Surds
- Multiplying Surds
- Dividing and Rationalising surds
- Algebraic Fractions
- Factorise and solve quadratics (a > 1)
- Further Algebra (Change the subject/Binomial expansion)
- Similarity
- Trigonometry 1
- Trigonometry 2
- Trigonometry 3
- Types of numbers and Rules of Indices
- Negative and Fractional Indices
- Recurring decimals
- Upper and Lower Bounds
- Straight Line Graphs 2 (Parallel Lines)
- Higher Straight lines (Perpendicular Lines)
- Simultaneous Equations (Linear)
- Scatter Diagrams & Frequency Trees & Averages
- Higher Data 1 (CF and Box Plots)
- Probability 2 (Sample space, Venn diagrams and experimental)
- Higher Probability (Conditional and Further Set Notation)
- Further Quadratic equations
- Quadratic Graphs 2 (a>1)
- Quadratic sequences
- One linear and one quadratic simultaneous equations
- Parts of a circle 1 & 2
- Volume 2
- Surface Area 2
- Volume and Surface Area 2
- Advanced Trigonometry 1
- Advanced Trigonometry 2
- Advanced Trigonometry 3
- Standard Form (Writing and converting)
- Standard Form 4 Operations
- Collecting, Indices, Expand and Simplify, Solving Equations 1
- Adding and Subtracting Fractions
- Scatter diagrams and Frequency trees
- Averages (From a list and tables, Stem and Leaf)
- Ratio 1 & 2
- Fractions 1, 2, and Fractional Change
- Parts of circles 2 (Arcs and Sectors)
- Cylinders
- Circle Theorems 1
- Circle Theorems 2
- Constructions & Loci
- Solve equations numerically (Iteration)
- Direct and Inverse Proportion
- Functions
- Further Algebraic Fractions
- Algebraic Proof
- Circle Graphs
- Probability 3 (Tree diagrams)
- Histograms
- Data Collection Higher
- Revise - Linear and Quadratic Graphs
- Cubic and Reciprocal Graphs
- Other Graphs (Trig, Exponetial and Transformations)
- Further graphs (Gradients/Area of curves)
- Graphs of Inequalities
- Compound measures
- Volume and Surface Area Higher 3
- Translate and Vectors 1
- Vectors 2
- Higher Vectors 1
- Higher Vectors 2 and Congruent Triangles
- Enlargement and Similarity
- Angle Facts
- Parallel Lines and Polygons 1
- Polygons 2 (Interior and Exterior)
- Ratio 2 (Ratio and Fractions/Direct Proportion/Best Buy)
- Revise - Solving equations
- Frequency charts (Data Collection, Bar and Pictograms)
- Charts and Tables (Pie Chart and Two way tables)
- Probability 1 (Scale and equally likely events)
- Travel Graphs
- Bearings
- Views and Maps
- Constructions
- Loci
- Revise - Angles, Polygons, Bearings
- Revise - Simultaneous Equations
- Revise - Data (mean table, CF charts)
- Volume and Surface Area 1 & 2
- Charts and tables & Frequency Charts
- Probability 2 & 3
- Higher Data 1 (CF and Box Plots)
- Probability 3 (Tree diagrams)
- Probability 2 (Sample space, Venn diagrams and experimental)
- Data Collection Higher
- Scatter diagrams and Frequency trees
- Charts and Tables (Pie Chart and Two way tables)
- Probability 1 (Scale and equally likely events)
- Revise - Data (mean table, CF charts)
- Averages (From a list and tables, Stem and Leaf)
- Histograms
- Higher Probability (Conditional and Further Set Notation)
- Frequency charts (Data Collection, Bar and Pictograms)