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Probability Reasoning Tasks

Probability Reasoning Tasks

Several tasks all based on the infamous ‘Hannah’s Sweets’ Edexcel GCSE question about combined probability. These tasks are designed to improve students’ mathematical reasoning and were created as part of the Mathematical Reasoning at GCSE project run by Cambridge Maths Hub. The tasks vary in difficulty, and include work on writing expressions, mutually exclusive and independent events, using probability diagrams (probability/frequency trees, Venn and 2-way table), combining probabilities of multiple events and forming and solving quadratic equations. They are not intended to be used all together; just pick and choose one or two suitable ones for your class. The Venn diagram task is an excellent idea I swiped from the amazing Mr Barton. A similar set of tasks on a different application of quadratic expressions can be found here: https://www.tes.com/teaching-resource/algebraic-area-reasoning-tasks-11838759. Please please consider leaving some feedback. I’d be really interested to hear which tasks you chose and how you used them!
catrionashearer
Problem Solving Lesson - Who Wrote This?

Problem Solving Lesson - Who Wrote This?

This lesson encourages students to use Maths that they know to try to solve a real world problem: Who wrote an anonymous document. The lesson is set up as an intriguing mystery and is solved in small groups, your students should be hooked from the start. There are many mathematical skills which students can employ to solve the mystery, and as students have the choice, there is natural differentiation baked in to this rich task. The powerpoint does suggest two possible avenues for students who struggle to come up with an idea. These use: averages relative frequency One extra note - this lesson is best used with larger classes, as no single technique is particularly accurate in isolation. The magic happens when each group compares their results and their combined solution becomes a lot more convincing.
flibit
The probability scale

The probability scale

Full lesson on Promethean software, for teaching the introduction to probability and the probability scale , including: -differentiated learning objectives -key words -slides containing examples for use when teaching the content - differentiated questioning
ginastanley
Venn Diagrams lesson

Venn Diagrams lesson

Full lesson on Promethean software, for teaching Venn diagrams, including: -differentiated learning objectives -key words -slides containing examples for use when teaching the content - differentiated questioning
ginastanley
Calculating expected probability

Calculating expected probability

This is a full lesson that I used for an interview. It has progress ladder to do at the start then learning is consolidated and you redo the progress ladder midway through the lesson in purple to show progress made. It is then followed by questions to do in books and an exam style plenary question
ljane16
Conditional probability

Conditional probability

Full lesson on Promethean software, for teaching conditional probability, including: -differentiated learning objectives -key words -slides containing examples for use when teaching the content - differentiated questioning
ginastanley
Combined independent events

Combined independent events

Full lesson on Promethean software, for teaching the probability of combined independent events, including: -differentiated learning objectives -key words -slides containing examples for use when teaching the content - differentiated questioning
ginastanley
Tree diagrams for independent events

Tree diagrams for independent events

Full lesson on Promethean software, for teaching tree diagrams for independent events, including: -differentiated learning objectives -key words -slides containing examples for use when teaching the content - differentiated questioning
ginastanley
Mutually exclusive events

Mutually exclusive events

Full lesson on Promethean software, for teaching mutually exclusive events, including: -differentiated learning objectives -key words -slides containing examples for use when teaching the content - differentiated questioning
ginastanley