GE1707
TASK PERFORMANCE
I. Polya’s Strategy
Use Polya’s four-step problem-solving strategy to solve the following problems. (3 items x 10 points)
1. How many different rectangles with an area of one-hundred twenty (120) square units can be formed
using unit squares?
2. Suppose thirty-six (36) students signed up for classes during an orientation session. If exactly twentytwo (22) of them signed up for Chemistry and exactly eighteen (18) of them signed up for English, how
many of them signed up for both Chemistry and English? How many of them signed up for Chemistry
only? How many of them signed up for English only?
3. An online mobile game tournament was facilitated and begins with 1024 players. Each game has four
(4) players, and in each game, only one (1) winner will advance to the next round. How many games
must be played to determine the winner?
Rubric for Scoring:
Criteria
Accuracy
Completeness
Description
The answer is correct with accurate solutions.
The answer shows complete steps in solving the
problem using Polya’s strategy.
Interprets and process the answer in a meaningful
way and provide clear explanations.
Interpretation
Total:
Points
3
3
4
10
II. KenKen
KenKen is an arithmetic and logic puzzle that can improve our calculation skills, logical thinking, and
persistence. The rule of this puzzle is very simple. It consists of an equal number of rows and columns.
The player can input any digit in every square. The lowest input is a 1 and the highest input is equal to the
number of rows or columns. The input must not repeat in the same row and same column. The puzzle
consists of a heavy-outlined area called “cages”. The top left corner of each cage has a “target number”
and a mathematical operation. The numbers or inputs in each cage must combine to produce the target
number using the mathematical operation (+, −,×,÷). The puzzle can have a cage with one square, it is
called a “freebie”. This puzzle can have three (3) or a greater number of columns and rows. An example
of 3x3 and 5x5 Kenken puzzles are shown below.
3x3
3+
3÷
3+
3÷
6×
6×
2-
03 Task Performance 1
2
2-
1
2
2
3
3
1
3
1
2
2
*Property of STI
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GE1707
5x5
Your task is to create your own Kenken puzzle. The number of columns and rows should not be less
than 5. Explain your puzzle and present its solution using the method or strategy you have learned in
this module. (20 points)
Rubric for Scoring:
Criteria
Puzzle
Description
The puzzle is creative and challenging.
Points
5
Solution
The answer is correct with accurate solutions.
5
Explanation
Interprets and process the answer in a meaningful way 5
and provide clear explanations.
Content
The content of the output shows an understanding of 5
the concepts learned in the module.
Total:
03 Task Performance 1
20
*Property of STI
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