A student:

• communicates and connects mathematical ideas using appropriate terminology, diagrams and symbols MA4-1WM

• applies appropriate mathematical techniques to solve problems MA4-2WM

• recognises and explains mathematical relationships using reasoning MA4-3WM

Students:

• Represent events in two-way tables and Venn diagrams and solve related problems (ACMSP292)

This series addresses the following dot points. The dots point(s) addressed in this Syllabus Bite are shown in bold.

• interpret Venn diagrams involving two or three attributes

• describe regions in Venn diagrams representing mutually exclusive attributes

• describe individual regions or combinations of regions in Venn diagrams representing non-mutually exclusive attributes, using the language 'and', exclusive 'or', inclusive 'or', 'neither' and 'not'

• construct Venn diagrams to represent all possible combinations of two attributes from given or collected data

• use given data to calculate missing values in a Venn diagram

• interpret given two-way tables representing non-mutually exclusive attributes

• describe relationships displayed in two-way tables using the language 'and', exclusive 'or', inclusive 'or', 'neither' and 'not'

• construct two-way tables to represent the relationships between attributes

• use given data to calculate missing values in a two-way table

• convert between representations of the relationships between two attributes in Venn diagrams and two-way tables

This series addresses all five Working Mathematically components.

• Fluency: Students practise drawing Venn diagrams and constructing two-way tables.

• Understanding: Students interpret Venn diagrams and two-way tables.

• Reasoning: Students use given data to calculate missing values in Venn diagrams and two-way tables. They deduce the meaning of regions within these organisers.

• Problem Solving: Students solve a variety of problems including problems with multiple solutions. They use both formal and informal methods.

• Communicating: Students describe relationships displayed in Venn diagrams and two-way tables using appropriate terminology.

This Syllabus Bite contains an initial activity to support students who require revision of key concepts. Each Bite also includes a bonus activity containing material that can extend suitable students beyond the scope of the syllabus.