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NON-ROUTINE PROBLEM

BASIC MATH

PRESENTED BY:

SYAHRUL ID AND WAN MOHD SYARIFUDDIN


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Imagine cutting a cubic block of banana cakeusing only one cut (the pieces do not have tobe the same size). You would end up with two

pieces of banana cake. Suppose you makethree cuts. Now there is more than one way tocut the banana cake.

You could make horizontal cuts, vertical cuts,or a combination of those. How should you doit so that you obtain the most pieces?


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STEP 1

Step 1: Identify the Problem

Imagine cutting a cubic block of banana cake using only one cut (thepieces do not have to be the same size). You would end up with two

pieces of banana cake. Suppose you make three cuts. Now there ismore than one way to cut the banana cake.

You could make horizontal cuts, vertical cuts, or a combination ofthose. How should you do it so that you obtain the most pieces?





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STEP 2

Step 2: Planning Strategies

We choose the diagram method to solve this

problem


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STEP 3

Step 3: Solving the Problem

Diagram Method Pictorial Diagram

The diagram method is usually used to displayinformation or situation of the question in the

form of diagrams. In this way, it can be easily

help pupils to observe the relationship

between quantities illustrated in a simpler and

clearer manner.


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References:-

A cubic block of banana cake



Horizontal cut

HORIZONTAL CUT

Horizontal cut

VERTICAL CUT COMBINATION CUT


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Working Method

Note!!!EVERY cut must use three (3) cutting

procedure from any type of cut


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Working 1 =>

(3 horizontal cut)

Result = 4 parts of banana cake

4

3

2

1


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Working 2 => (3 Vertical cut)


1 23

4


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Working 3 => (2 horizontal cut + 1 Vertical cut)


1 2

3 4

5 6


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Working 4 => (2 Vertical cut + 1 horizontal

cut)


1 2 3

4 5 6


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Working 5 => (2 Vertical cut + 1 horizontal cut)


Total Result = the highest part obtain is 8 parts ofbanana cake by using 2 intersectional cut and 1horizontal cut method

5 6

12

4 3

6

7Hidden

83 4


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Step 4: Look Back and Check

By cutting the cubic banana cake, we can divide or

slice the cake to many parts. By using the preciseand correct method, we can obtain the highestpart.

From previous step, it shows that by cutting the

banana by using 2 intersectional verticals and 1horizontal cut method, we can get 8 cake parts,the highest value. We can check this result byusing an analogy and countercheck the workingprocedure.

Assume the banana cake in cubic shape; it must becut into many equal parts. The cutting method isby using 2 intersectional vertical cut and 1horizontal cut.


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5 6

1

2

1 2

4 3

2

3

6

7

So, the answer is correct because 1 horizontal cut splits the cake into upper part

and lower part. On vertical cut splits the cake into left part and right part. And oneanother intersectional vertical cut splits the cake into front part and back part.

Cut 1 become 2, cut 2 become 4 and cut 4 become 8; hence, there are 8 banana

cake part. From our findings, the problem is solved and the question is answered.

Well done.


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ALTERNATIVE PROBLEM

SOLVING

(Constructing Table and Using

Experiment)


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STEP 1

Step 1: Identify the Problem

Imagine cutting a cubic block of banana cake using only one cut (thepieces do not have to be the same size). You would end up with twopieces of banana cake. Suppose you make three cuts. Now there ismore than one way to cut the banana cake.






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STEP 2

Step 2: Planning Strategies

We choose the constructing table and using

experiment method to solve this problem.


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No

Type of Cut

Diagram of Cut

Diagram of Cake

Result

1

3 Horizontal Cut

4

3

2

1

4 parts

2

3 Vertical Cut

4 parts

3 2 Horizontal Cut +

1 Vertical Cut

6 parts

4

2 Vertical Cut + 1Horizontal Cut

6 parts 5

2 Intersecting Vertical Cut + 1 Horizontal Cut

8 parts

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