Resources: Secondary Maths
- [[Topics/Using images|Using images]]
|Assessment||Changing KS3 Questions for Engaging Assessment|
A large set of questions grouped by topic, paper, and national curriculum levelTest questions are often seen as uninteresting and useful only to assess pupils summatively. This resource however allows questioning(ta) to be used to support pupils’ revision, creativity and higher order(ta) problem-solving in class. The tasks could be conducted via whole class(ta) discussion(ta) or assessment(ta), perhaps using mini-whiteboards(tool), or in small group work(ta) situations.
Can all numbers be made in this way? For example 9=2+3+4, 11=5+6, 12=3+4+5, 20=2+3+4+5+6By definition, a problem is something that you do not immediately know how to solve, so learning how to solve something unfamiliar is not straightforward. Tackling an extended problem is difficult.
This lesson gives pupils an opportunity to engage in mathematical thinking(ta) and develop their higher order(ta) thinking skills on a problem that is accessible but which has interest. For example, the problem is presented in diagrammatic and numerical ways.
The plan suggests several visualisation(ta) methods to present the same underlying task. It should be useful for teachers to compare these different presentations and either to select the one that they feel will be most useful for their pupils or explore ways for the pupils to see the links between the different methods. The assessment(ta) ideas, using other pupils' solutions from the NRICH website are widely applicable to other problems too.
|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 same-task group work(ta).
|Shape||Getting Your Formulae in Shape|
Solving a card sort for perimeter, volume and area formulaeThis resource provides an opportunity for some revision of shape formulae - perimeter, area, and volume. It encourages pupils to engage in effectivereasoning(ta), and group talk(ta), and could be used as an effective assessment(ta) tool. The task could be differentiated(ta), or extended for a whole class by cutting the 'formulae' lines off the bottom of each hexagon, and asking students to match these to the shapes, prior to matching the shapes to the formulae type.
|Using images||Organising images for a narrative|
Write an essay without wordsThe 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 time-lapse 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 inquiry-based 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).