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Probability

CAPS Senior Phase Mathematics (South Africa): Grade 8–9

8 ready-made resources for teaching Probability, written for CAPS Senior Phase Mathematics. Slides, worksheets, mark schemes, homework, an assessment and retrieval quizzes, all with SEN-friendly scaffolding built in as standard. Below is what the topic requires and where learners usually go wrong, free to read whether or not you sign up.

Independently rechecked. These files were written to the specification from our own topic maps, then put through a separate recheck pass from the one that wrote them, which found and fixed real errors. A subject teacher has not signed them off individually, so give them your usual read before you teach from them.

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What is in this bundle

Assessment mark schemeWord, editable
End-of-topic assessmentWord, editable
HomeworkWord, editable
Retrieval-practice quizzesWord, editable
SlidesPowerPoint, editable
Starter & exit ticketWord, editable
Worksheet (Grade 8 & 9)Word, editable
Worksheet mark schemeWord, editable

Grade 8

Consider a simple situation with equally likely outcomes, described using probability, and: list all the possible outcomes.
Determine the probability of each possible outcome using the formal definition of probability (favourable outcomes over total possible outcomes): this is the first formal use of the probability definition in this phase (Grade 7 worked with relative frequency from trials, without yet formalising probability as favourable-over-total).
Calculate how often an outcome actually happened, as a proportion of the trials run, and compare that relative frequency against the calculated probability.

Grade 9, in addition

Consider situations with equally probable outcomes and determine probabilities for compound events, using two-way tables and tree diagrams: genuinely new content at Grade 9, extending single-event probability to combinations of two or more events.
Predict the relative frequency of an event's outcomes in a simple experiment, based on its calculated probability.
Discuss the difference between the theoretical probability of an outcome and its actual relative frequency observed in an experiment: building on the comparison work already met informally in Grade 7, now applied to compound events too.

Where learners go wrong

Listing outcomes that aren't actually equally likely as though they were (a common trap when the sample space isn't uniform).
Treating relative frequency from a small number of trials as identical to theoretical probability, rather than as an estimate that improves with more trials.
At Grade 9, adding probabilities along a tree diagram's branches instead of multiplying them (branches multiply to find the probability of a combined sequence of outcomes; separate paths to the same overall outcome are added together).
Misreading rows versus columns when extracting a probability or total from a two-way table.

How it gets asked in the exam

"Determine the probability that ...", "Complete the tree diagram", "Use the two-way table to determine the probability of ...", "Compare the relative frequency of ... with its theoretical probability".

Key vocabulary

Outcome, event, equally likely, probability, relative frequency, compound event, two-way table, tree diagram.

Assumed prior knowledge

Fluency with fractions, decimals, and percentages (needed to express probabilities in different equivalent forms).
Basic logical understanding of combining two conditions (needed for two-way tables and tree diagrams).

How Speca scaffolds this topic

A standardised, pre-drawn tree-diagram template removes the drawing/layout burden so learners can focus on the probability values themselves.
Use concrete, countable contexts (coloured counters in a bag, spinners, dice) as the default model before moving to abstract, numbers-only questions, matching CAPS's own use of physical random-generation tools (dice, spinners, cards) at Grade 8.
Colour-code the "multiply along a branch" versus "add across separate branches" rule consistently across every worked tree-diagram example, reinforcing the distinction visually as well as verbally.
South African decimal convention: use a comma as the decimal separator wherever a probability is given as a decimal (e.g. 0,35, not 0.35).

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