Open+Ended+Tasks+&+Investigations

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media type="custom" key="15439072" Source: Charles Lovitt - Open ended investigative approaches to learning maths(ACU) media type="custom" key="15439112" Source: Charles Lovitt - Open ended investigative approaches to learning maths(ACU)

Andrea McDonough - Making maths more open 'It is better to demonstrate 1 problem in many ways than it is to demonstrate many different problems in one way' (George Polyer 1897 - 1985)

**__Number__**: **What's my equation?** **Activity**:

3_ __+ 1___

__2__
Show this addition equation and ask students to show as many variations as possible. When sharing strategies discuss the variety of ways to work this problem out, eg. find a pattern, those that add to make 2 and 12 etc. **The maths:** Place value, addition **Prompt**: Concrete materials, counting frames etc, model one or two possibilities to see if the student picks a pattern. **Extension**: 3 digit numbers

**Activity**: make a 4 sided shape using an elastic band. Discuss shapes then group according to various properties. **The maths:** naming of 2D shapes, properties of shapes, classifying shapes, congruence **Prompt**: Look around for shapes in their environment. **Extension:** More sides, draw your shape, draw a 3D representation of your shape.
 * Shape: Geoboard 2D Shape Making**

**Activity**: Show 6 teddies and ask students to find something in the room that is 15 teddies long. Provide materials to assist in making a paper strip ruler. **The maths:** length, informal measurement **Prompt**: Change the number of teddies to 5 and the 'something' to 5 or 10, **Extension**: Increase the length
 * Measurement**__**: What is 15 teddies long?**