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Nrich department meetings A teacher’s perspective. Asnat Doza. What it should be. An opportunity to discuss maths with colleagues An opportunity to share teaching ideas with fellow teachers Another lesson plan done!. 3 things it should not be. - PowerPoint PPT Presentation
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Nrich department meetingsNrich department meetingsA teacher’s perspectiveA teacher’s perspective
Asnat DozaAsnat Doza
What it should beWhat it should be
An opportunity to An opportunity to discuss maths with discuss maths with colleaguescolleagues
An opportunity to An opportunity to share teaching ideas share teaching ideas with fellow teacherswith fellow teachers
Another lesson plan Another lesson plan done!done!
3 things it should not be3 things it should not be
A session in which the A session in which the focus is on solving a focus is on solving a set of mathematical set of mathematical problemsproblems
An opportunity to show off your maths An opportunity to show off your maths skillsskills
Competition timeCompetition time
Key to a successful meetingKey to a successful meeting
Everyone should feel comfortable and Everyone should feel comfortable and welcome to contributewelcome to contribute
Suggested meeting formatSuggested meeting format
Working in small groupsWorking in small groups
Looking at a new Nrich problemLooking at a new Nrich problem
Brain storm/sharing ideas on how go teach Brain storm/sharing ideas on how go teach this problemthis problem
Sharing ideas with all the departmentSharing ideas with all the department
Implementing in classImplementing in class
Today’s problem:Today’s problem:Consecutive sumsConsecutive sums
Many numbers can be expressed as the Many numbers can be expressed as the sum of two or more consecutive integers:sum of two or more consecutive integers:
15=7+815=7+8 10=1+2+3+410=1+2+3+4
What can you say about numbers which canWhat can you say about numbers which can
be expressed in this way? be expressed in this way?
Try to prove your statementsTry to prove your statements
Which class or classes would you teach Which class or classes would you teach this problem to?this problem to?Nrich asks: ‘What can you say about Nrich asks: ‘What can you say about numbers which can be expressed in this numbers which can be expressed in this way?‘ Can you think of other questions way?‘ Can you think of other questions you might ask your learners in relation to you might ask your learners in relation to this problem?this problem?How will you differentiate?How will you differentiate?Which department resources can you use Which department resources can you use to teach this problem to lower and higher to teach this problem to lower and higher ability groups?ability groups?
The hints: The hints:
Start by trying some simple cases.Start by trying some simple cases.
Which numbers can be written as the sum of two Which numbers can be written as the sum of two consecutive numbers?consecutive numbers?Which numbers can be written as the sum of Which numbers can be written as the sum of three consecutive numbers?three consecutive numbers?Which numbers can be written as the sum of Which numbers can be written as the sum of four, five, six... consecutive numbers?four, five, six... consecutive numbers?
Can all numbers be written as the sum of Can all numbers be written as the sum of consecutive numbers?consecutive numbers?
1+2+3=6 so 2+3+4 must add up to 3 more. 1+2+3=6 so 2+3+4 must add up to 3 more.
Will you introduce the hints to your Will you introduce the hints to your classes? If so, how and when will you do classes? If so, how and when will you do this?this?
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