Consecutive sums: Difference between revisions
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|attribution={{MarkDawes}} | |attribution={{MarkDawes}} | ||
|title=Consecutive Sums | |title=Consecutive Sums | ||
|tagline=Can all numbers be made in this way? | |tagline=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+6 | ||
|image=Consecutivesums1.png | |image=Consecutivesums1.png | ||
|topic=Investigation | |topic=Investigation | ||
|subject=Maths | |subject=Maths | ||
|resourcenumber= M001 | |resourcenumber= M001 | ||
|age= | |age=KS4,Secondary, KS3 | ||
|content=This resource provides a detailed [[Consecutive sums/Consecutive sums activity|Consecutive sums activity]] with extension work. | |content=This resource provides a detailed [[Consecutive sums/Consecutive sums activity|Consecutive sums activity]] with extension work. | ||
|strategy= | |strategy= | ||
|additional resources= | |additional resources= | ||
|useful information= | |useful information= | ||
|Learning Objectives= | |Learning Objectives=Allowing pupils to:<br /> | ||
* | * explore different ways of approaching a problem, | ||
* | * make links between different representations, | ||
* | * explain their approaches and what they have noticed, | ||
* | * notice features of the problem and gage whether these are important, | ||
* | * be able to generalise, | ||
* | * reflect on which methods helped to get close to a solution to the problem. | ||
|related resources= | |related resources= | ||
Revision as of 14:18, 29 October 2012
Lesson idea. This resource provides a detailed Consecutive sums activity with extension work.
Teaching approach. By 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. (edit)
| Resource details | |
| Title | Consecutive Sums |
| Topic | [[Topics/Investigation|Investigation]] |
| Teaching approach | [[Teaching Approaches/Assessment|Assessment]], [[Teaching Approaches/Higher order|Higher order]], [[Teaching Approaches/Mathematical thinking|Mathematical thinking]], [[Teaching Approaches/Visualisation|Visualisation]] |
| Learning Objectives | Allowing pupils to:
|
| Format / structure | wiki text, and .doc download |
| Subject | [[Resources/Maths|Maths]] |
| Age of students / grade | [[Resources/Secondary|Secondary]], [[Resources/KS4|KS4]], [[Resources/KS3|KS3]]
|
| Files and resources to view and download | Consecutive sums activity (extension work is linked from the main resource) |
| Acknowledgement | This resource was adapted from resources contributed by Mark Dawes |
