Http://nrich.maths.org If you want to build higher, dig deeper Plymouth 25 th October 2013.
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Transcript of Http://nrich.maths.org If you want to build higher, dig deeper Plymouth 25 th October 2013.
![Page 1: Http://nrich.maths.org If you want to build higher, dig deeper Plymouth 25 th October 2013.](https://reader036.fdocuments.net/reader036/viewer/2022070413/5697bfe41a28abf838cb58ce/html5/thumbnails/1.jpg)
http://nrich.maths.org
If you want to build higher,dig deeper
Plymouth25th October 2013
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http://nrich.maths.org
Five strands of mathematical
proficiency
NRC (2001) Adding it up: Helping children learn mathematics
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http://nrich.maths.org
Dicey Operations
Find a partner and a 1-6 dice, or preferably a 0-9 dice.Each of you draw an addition grid.
Take turns to throw the dice and decide which of your cells to fill - either fill in each cell as you throw the dice or collect all your numbers and then decide where to place them.
Throw the dice nine times each until all the cells are full.Whoever has the sum closest to 1000 wins.
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http://nrich.maths.org
Dicey Operations
• Adding, closest to 1000 wins
• Subtracting, closest to 400 wins
• Multiplying, closest to 1000 wins
• Multiplying, closest to 10000 wins
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http://nrich.maths.org
M, M and M
2, 5, 5, 6, 7
Mean = Mode = Median = Range
Can you find other sets of five positive whole numbers that satisfy these conditions?
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http://nrich.maths.org
NRICH problems require students to work mathematically
Exploring → Noticing Patterns
→ Conjecturing
→ Generalising
→ Explaining
→ Justifying
→ Proving
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http://nrich.maths.org
Attractive Tablecloths
Charlie has been designing tablecloths for each weekday.
He likes to use as many colours as he possibly can but insists that his tablecloths have some symmetry.
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Monday’s rule
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Tuesday’s rule
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Wednesday’s rule
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http://nrich.maths.org
Thursday Friday
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http://nrich.maths.org
Opposite Vertices
Can you recreate squares and
rhombuses if you are only given a side?
Or a diagonal?
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http://nrich.maths.org
When would you use these?Why would you use them?
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http://nrich.maths.org
What’s it Worth?
Marbles in a Box
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What’s it Worth?Each symbol has a numerical value.
The total for the symbols is written at the end of each row and column.
Can you find the missing total that should go where the question mark has been put?
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http://nrich.maths.org
Marbles in a Box
How many winning lines are there?
Try to adapt each method to work out
the number of winning lines in a
4 x 4 x 4 cube.
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http://nrich.maths.org
Factors and Multiples Challenge
You will need a 100 square grid.
Choose a number and cross it out on the grid.
Then choose a second number to cross out.
This number must be a factor or multiple of the first number.
Continue to cross out numbers, at each stage choosing a number that is a
factor or multiple of the previous number that has been crossed out.
Try to find the longest sequence of numbers that can be crossed out.
Each number can only appear once in a sequence.
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http://nrich.maths.org
5 = 3² − 2²
13 = 7² − 6²
19 = 10² − 9²
12 = 4² − 2²
28 = 8² − 6²
40 = 11² − 9²
45 = 7² − 2²
45 = 9² − 6²
45 = 23² − 22²
23 = 12² − 11²
24 = 7² − 5²
25 = 5² − 0²
What’s Possible?
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http://nrich.maths.org
The ‘new’ site
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http://nrich.maths.org
To summarise
Teaching through rich tasks
Targetted Home pages
Features with rich tasks and articles
Collections and Mapping Documents
Teachers’ Resources for each task
General Resources
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http://nrich.maths.org
What next…
CPD Follow-up page: http://nrich.maths.org/7768
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