Scheme of work: Year 12 A-Level: Applied: Statistics: Probability
In this lesson, students learn how to calculate probabilities from grouped data by interpreting frequency tables and histograms.
As they progress, students develop skills in using interpolation to make more precise probability estimates, especially when data is represented graphically in histograms.
Students learn how to create and use a tree diagram to calculate the probability of two or more independent events.
Later, as learning progresses students consider conditional probabilities for three events.
Students learn how to solve problems involving mutually exclusive and independent events using Venn diagrams.
Later, as learning progresses students they use these properties to set up and solve equations.
Students learn how to use Venn diagrams to represent sets and their intersections, identifying mutually exclusive and independent events. By analysing given probabilities, they calculate unknown values, reinforcing their understanding of set notation and relationships.
Later, as learning progresses, they apply these skills to solve more complex probability scenarios, including finding complementary probabilities and combined events.
A research-backed case exploring why over-reliance on automated math homework platforms and repetitive worksheets lowers student expectations, and how departments can build genuine mathematical thinking.
How to teach converting between fractions, decimals and percentages.
Four problem solving lessons to develop student’s mathematical reasoning and communication skills.
