Topic 3 Year 9 Mathematics
Mathematics | |||
Topic | Sets, Venn and sample space diagrams | ||
No of lessons | 8 | ||
When is it happening | Term 1 | ||
What will students learn |
Understand set notation for intersections, unions, complements and the universal set Be able to identify and interpret sets described by notation and within Venn diagrams Experience interpreting a range of sets in qualitative and numerical contexts, Understand probability from set notation and Venn diagrams Be able to form and interpret Venn diagrams in the context of probability Experience representing probabilities and expected outcomes in different ways |
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Key Knowledge that students should know at the end of 'Topic' | This is the knowledge that students will meet for the first time in this topic | Students are introduced to the idea of unions between sets with formal notation (∪) and language (“or”) using Venn diagram representations. The universal set (ðœ‰) is formally introduced as a boundary for determining complements (′) to sets, intersections and unions. Students combine their understanding of the notation for intersection, unions, the universal set and complements into formal set notation itemising elements. : Students use Venn diagrams and set notation to represent sample space information, and to help calculate theoretical probability. Students then calculate experimental probability from information in Venn diagrams using set notation Students use Venn diagrams to represent expected outcomes calculated from probability trees, Students deepen their understanding of Venn diagrams by exploring non-Venn diagrams (Euler diagrams) | |
This is knowledge that students may have met before but will need to deepen their understanding | Students consolidate their understanding of intersections on Venn diagrams | ||
Key Skills that students should be able to demonstrate at the end of 'Topic' | This is the skills that students will meet for the first time in this topic | Drawing a Venn Diagram | |
This is skills that students may have met before but will need to develop | Using a Venn Diagram | ||
Key vocabulary that students should know and understand | |||
The Big Question | Can you form and analyse Venn diagrams? | ||
Key questions that students should be able to answer at the end of the 'Topic' |
Can you identify and represent intersections on Venn diagrams? | ||
Can you identify and represent unions on Venn diagrams? | |||
Can you identify and represent complements on Venn diagrams? | |||
Can you interpret intersection, unions and compliments from formal set notation? | |||
Can you calculate theoretical probability from a Venn diagram? | |||
Can you interpret experimental probability from a Venn diagram? | |||
Can you interpret and present expected outcomes on a Venn diagram? | |||
Can you form and analyse Venn diagrams? |