Mini-Project 1
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School
Santa Fe College *
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Course
1107
Subject
Mathematics
Date
Apr 3, 2024
Type
docx
Pages
6
Uploaded by MajorLoris4111
Mini-Project 1
MGF1107
Purpose: To implement your inductive reasoning and problem-solving skills via a real-life application: four common puzzle games. Directions: 1.
Complete the following for each puzzle: 1, 2, 3, and 4
2.
Look over each puzzle so you will know what you’ll be completing. 3.
Develop a strategy for approaching each puzzle using problem solving strategies and inductive reasoning (both should naturally be involved in your process).
4.
Solve each puzzle keeping in mind your thought processes and strategies. 5.
Annotate (write out) your logical thought process, calculations, and/or strategy for solving each value in the puzzle. You may use discretion on the sudoku puzzle given the number of answers required, but it is imperative that you provide sufficient detail to clearly
demonstrate your mental logic processes. Expectations:
1.
You may look up resources to investigate the rules for each puzzle, some common strategies for completing them, or to try a few practice puzzles. However, you are expected to complete the four puzzles given on your own without assistance with the internet or AI software. You can also reach out to me with questions. 2.
Each puzzle should be completed accurately and legibly. You can
reach out to me with your results at least 24 hours before the due date to verify accuracy.
3.
Annotations should include your logic and calculations to the extent that there is no doubt that the work is entirely your own. 4.
You’re expected to submit the assignment in one of two ways:
a.
One single pdf with the pages scanned/organized from problem 1 to problem 4. b.
Two separate pdfs with one containing the puzzles, and the second containing the annotations organized
from problem 1 to problem 4. This option is intended for students who prefer to type their annotations and handwrite the puzzles. c.
Assignments in jpeg, gif, word, or any other format besides pdf will not be accepted. A submission containing more than 2 files will not be accepted. 1.
1
Mini-Project 1
MGF1107
1. A “Magic Square” puzzle is a square puzzle where the sum of all rows, all columns, and all diagonals add up the same number. Also, for a 3x3 Magic Square, the digits 1-9 are each used once and cannot be repeated. The goal is to place a number in each cell so that all of the rules are met.
a) Complete the 3x3 Magic Square below
2
4
3
8
b) Annotate your logical thought process, calculations, and/or strategy for solving each value in the puzzle. Use an additional piece of paper if needed/desired.
2
Mini-Project 1
MGF1107
2. A “Magic Square” puzzle is a square puzzle where the sum of all rows, all columns, and all diagonals add up the same number. Also, for a 4x4 Magic Square, the digits 1-16 are each used once and cannot be repeated. The goal is to place a number in each cell so that all of the rules are met. The sum of each row/column/diagonal can be found by adding together the digits 1-16 and then dividing by four. This hint will likely help you with the below puzzle. a) Complete the 4x4 Magic Square below
12
6
11
16
7
3
9
14
b) Annotate your logical thought process, calculations, and/or strategy for solving each value in the puzzle. Use an additional piece of paper if needed/desired.
3
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Mini-Project 1
MGF1107
3. A “KenKen” puzzle is a square puzzle containing math operations (addition/subtraction/division/multiplication). The goal of a KenKen is to fill every cell with a number such that no numbers are repeated in any row or column, and the operation in each bolded box (order does not matter within an operation) is also valid. If a number is given with no operation, that is the number that belongs in that box. For a 3x3 KenKen puzzle, the digits 1-3 are used in each row and column. a) Complete the 3x3 KenKen below
5+
1
3+
2 -
1 -
b) Annotate your logical thought process, calculations, and/or strategy for solving each value in the puzzle. Use an additional piece of paper if needed/desired.
4
Mini-Project 1
MGF1107
4. A “Sudoku” puzzle is a square puzzle where each row, column, and bolded square contain the numbers 1-9 with no repeats. requires you to find the missing numbers in a 9 by 9 grid, with the grid divided into 9 square 3x3 grids. This puzzle requires more critical thinking because there are several patterns and several ways to approach it. Do not guess- approach it using your problem-solving skills! Consider making some notes about your thought processes as you go so that they will be easier to annotate. a) Complete the 9x9 Sudoku below
8
4
3
2
9
7
1
5
6
5
4
9
8
7
7
8
9
6
4
4
8
5
2
3
9
9
6
4
1
8
5
4
5
6
3
9
8
1
3
9
5
6
4
9
6
8
4
5
b) Annotate your logical thought process, calculations, and/or strategy for solving at least 8 different values in the puzzle.
Use an additional piece of paper if needed/desired.
5
Mini-Project 1
MGF1107
*Intentionally blank to allow more space if needed*
6
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