Monday, 11 March 2013

Tues 12th March - SOlving Mathematical Problems methodically

LEARNING OBJECTIVE: Practice developing strategies to solve problems.

SUCCESS CRITERIA: You will develop better strategies for solving mathematical problems. You will understand the need for a methodical approach to writing down your solutions / suggestions and proofs.

ENGAGEMENT ACTIVITY:  Two plus Two

LESSON:
Here is one idea that might help you get started

Possible approaches

How would you solve this problem?
861
+???
1427



What about this problem, where a,b and c are all different numbers

   bb

+cb

acc


Let b be 1 then 2 then 3 .... can you discard any numbers quickly? 
Why? What are you left with? Can you prove anything?

How many solutions to TWO + TWO = FOUR are there? Proof
?
EXTENSION:
What ABout these two sums

Key questions

Are we certain we have considered all the possibilities?

Possible extension


Which other word sums work? - eg
ONE + ONE = TWO
FOUR + FIVE = NINE


Which definitely don't work? - eg
ONE + TWO = THREE

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