Alhamdulillah. Thank God for giving us chance to finish our Basic Math course work on the right time. Well, this task gives us a lot of experiences during the process to finish it. It was quite tough to finish this task because this problem solving task is new for us. But, we finished this course work perfectly. A big thank you also must be given to En. Mohd. Azmi because helps us a lot to finish this task. He gave us the guidelines about routine and non-routine problems and how to apply Polya’s problem solving model. It helps us a lot to finish this task. An appreciation to our parents because always give supports during the process to finish this course work. They also gave facilities like laptop and printer so that easy for us to finish this task. Thanks you to all our friends and seniors who gave supports and some guidelines to finish this task. We shared our ideas and helped each other to produce a great work for this coursework. Lastly, we hope that we have finished this coursework without any mistake. Hopefully everyone satisfies with our work. Thank you.

NON-ROUTINE PROBLEM

Non-routine problem solving serves a different purpose than routine problem solving. A routine is a sequence of actions regularly followed. Non-routine would be something you wouldn't do at all regularly. Our evening routine is home by six and dinner on the table by seven. Sleeping late is not or non routine in our family. Non-routine problem solving is mostly concerned with developing students’ mathematical reasoning power and fostering the understanding that mathematics is a creative endeavor. From the point of view of students, non-routine problem solving can be challenging and interesting. * Non routine problems means unusual or unique problems

* Do not know any standard procedure

* Requires the application of skills, concepts or principles which have been mastered * The method cannot be memorized

* Needs a set of systematic activities :

* planning

* strategy

* suitable methods

PROBLEM 1

A florist is going to make flower by paper for her customer. She has red, green and purple paper. She can use silver decorations, yellow decorations or orange decorations to beautify her paper flower. She can use black or white rope to her flower paper. How many different flower papers can she make? George Polya’s problem solving steps:

1).Understanding the problem

i - 3 types color of paper : red, green, purple

ii - 3 types of decorations : silver, yellow , orange

iii - 2 types of rope :black and white

2). Devising a problem

The possible strategies:

1. Draw a diagram

2. Making table

3).Carrying out the plan

-The question is to find how we can get the flower with different color. 4).Look back

- How many different flower papers can she make?

- The question is to find how we can get the flower with different color. - There are 18 different flowers she can makes.

Solution:

DRAW DIAGRAM

Symbol for the Tree Diagram:

RED| R|

GREEN| G|

PURPLE| P|

SILVER| S|

YELLOW| Y|

ORANGE| O|

BLACK| B|

WHITE| W|

First Tree Diagram:

B

S

W

B

Y

R

W

B

O

W

For the first tree diagram that is the paper, second is the decorations and the third is the type of wire. From the first tree diagram we get 6 types flower of papers which are: = RSB, RSW, RYB, RYW, ROB, ROW

Second Tree Diagram:

B

S

W

G

Y

B

W

B

O

W

From the second tree diagram we get 6 types of flower which are = GSB, GSW, GYB, GYW, GOB, GOW

Third Tree Diagram:

B

S

W

B

O

P

W

B

Y

W

From the second tree diagram we get 6 types of flower which are = PSB, PSW, PYB, PYW, POB, POW

From the tree diagrams shown, there are 18 ways that the florist can produce paper flowers. This is because each tree diagram provides 6 different colors of flowers. There are 3 tree diagrams multiply with 6 are 18. So, there are...

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