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Relevant resources
Capacity  Smoothie Capacity Challenge  
Investigating capacity and getting wet wet wet... This is a practical session to be used with a whole class in small groups^{(ta)} of 2 or 3 –perhaps with the added supervision of a teaching assistant if the class is excitable or particularly young. There is scope within this activity for the following different methods of learning:
 
Language  Exploring shape and its mathematical language through sorting activities  
Using mathematical language to discuss shapes of objects either printed or hidden in 'feely bags'. Can you feel the forks? The Investigation^{(ta)} of shapes and geometry can be very rewarding. A practical approach using objects from the pupils’ environment can increase their motivation and interest. In this unit, you will be using everyday objects to help pupils develop geometrical skills, such as recognising, visualisation^{(ta)}, describing, sorting, naming, classifying and comparing.
Through games^{(tool)} on the properties of shapes, the activity engages pupils in group talk^{(ta)}, mathematical thinking^{(ta)} and vocabulary^{(ta)}. This open ended^{(ta)} task encourages higher order^{(ta)} thinking, and could form the basis of whole class^{(ta)} discussion^{(ta)}/questioning^{(ta)} and inquiry^{(ta)} projects. It can be used as a lesson extension, or as a preliminary task.  
Patterns  Exploring Pattern  
Exploring patterns in mathematics Each chapter of this tutorial highlights the study skills^{(topic)} required to work through the real world examples and activities given. There are problems to be solved, some of which involve higher order^{(ta)} thinking skills (for example, being asked to correct a set of instructions), and all of which encourage the use of mathematical language^{(ta)} and mathematical thinking^{(ta)}. The resource could also be used in class, or as a useful homework^{(ta)} pack.
 
Polygons  Exploring properties of rectangles: Perimeter and area.  
Do two rectangles that have the same area also have the same perimeter? A problem to inspire higher order^{(ta)} questioning^{(ta)} especially in whole class^{(ta)} dialogic teaching^{(ta)} encouraging pupils to engage in mathematical thinking^{(ta)} and language^{(ta)}. You could use Geogebra^{(tool)} in this investigation, as an example of sametask group work^{(ta)}.
 
Using images  Organising images for a narrative  
Write an essay without words The lesson encourages students to think about how to portray their knowledge through narrative^{(ta)}  which may engage some students who would usually be less interested. The lesson encourages students to think about how to capture valuable information and ensure that key elements are highlighted while not 'overloading' the viewer with data. The lesson can be tailored to any age group  for younger pupils the task could be to take before and after photos and label them. More advanced pupils might explore timelapse photography. Pupils should be encouraged to think about how this relates to the scientific method^{(ta)} The task is interactive and could be conducted as a group work^{(ta)} activity or as an element of an inquirybased learning project. It could also lend itself to whole class^{(ta)} dialogue^{(ta)} and the use of ICT^{(i)} including 'clicker' response systems for assessment^{(ta)} and questioning^{(ta)}.
 
Visualisation  ORBIT/GeoGebra Competion 2013  
The 2013 competition has generated five high quality openended activities that support interactive teaching and allow children (age 610) to explore an element of mathematics for themselves. The following guidance note are provided for each resource:
 
Visualisation  Flying paper planes  
Very visual and interactive and simple to understand This lesson features a ‘real life’ example for students to explore using visualisation^{(ta)} via GeoGebra. The focus on ‘real life’ increases student motivation.
The activity engages pupils in group talk^{(ta)}, mathematical thinking^{(ta)} and vocabulary^{(ta)}. This open ended^{(ta)} task encourages higher order^{(ta)} thinking, and encourages whole class^{(ta)} discussion^{(ta)}/questioning^{(ta)} and inquiry^{(ta)} projects.  
Visualisation  Variety of perimeter with fixed area  
Interactive GeoGebra investigation that allows children (age 610) to explore an element of mathematics for themselves.
 
Visualisation  Positioning fractions on the number line.  
Interactive GeoGebra investigation that allows children (age 610) to explore an element of mathematics for themselves.
 
Visualisation  Variety of areas with fixed perimeter.  
Interactive GeoGebra investigation that allows children (age 610) to explore an element of mathematics for themselves.
 
Visualisation  Perimeter of a rectangle.  
Interactive GeoGebra investigation that allows children (age 610) to explore an element of mathematics for themselves.
 
Visualisation  Number and representation game.  
Interactive GeoGebra investigation that allows children (age 610) to explore an element of mathematics for themselves.
