Mathematics in Modern World: Geometric Designs
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Mathematics in Modern World: Geometric Designs

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Questions and Answers

What is the main characteristic of a translation in geometry?

  • Flipping an object across a line without changing its size or shape
  • Expanding or contracting an object without changing its shape
  • Changing the shape and orientation of an object
  • Moving an object in space without changing its size, shape, or orientation (correct)
  • What is the term used to describe the expansion or contraction of an object without changing its shape or orientation?

  • Resizing
  • Translation
  • Dilation (correct)
  • Reflection
  • What is the 'psychology of shapes' studying?

  • The influence of textures on people
  • The influence of colors on people
  • The influence of shapes on people (correct)
  • The influence of sizes on people
  • What is the main objective of the 3-2-1 chart activity in the module?

    <p>To record the student's observations and insights about geometric designs</p> Signup and view all the answers

    What is the title of the module that covers geometric designs and their application to the Philippine culture and arts?

    <p>Mathematics as a Tool 2</p> Signup and view all the answers

    What is the main goal of the learning objectives in the module?

    <p>To appreciate the contribution of geometric designs to the enrichment of the Filipino culture and arts</p> Signup and view all the answers

    What is the primary connection between art and math?

    <p>Use of shapes and forms</p> Signup and view all the answers

    What is the focus of the interdisciplinary approach to art and geometry?

    <p>Identifying authentic connections between art and geometry</p> Signup and view all the answers

    What is the role of geometry in enhancing one's artistic skills?

    <p>It helps in finding the geometry in everyday objects</p> Signup and view all the answers

    What is the importance of visualization and spatial reasoning in art and geometry?

    <p>It enhances problem-solving skills</p> Signup and view all the answers

    What is the range of bits used to represent binary code?

    <p>8-32 bits</p> Signup and view all the answers

    What are the building blocks of both art and math?

    <p>Line, shape, form, pattern, symmetry, scale, and proportion</p> Signup and view all the answers

    What is the primary purpose of binary files?

    <p>To store binary data</p> Signup and view all the answers

    What is the primary purpose of coding schemes in mathematics?

    <p>To encode and decode different types of information for identification, privacy, and security purposes</p> Signup and view all the answers

    What is the base of the binary number system?

    <p>Base-2</p> Signup and view all the answers

    What is the concept that is evident in an artwork's composition?

    <p>Use of shapes and forms, and spatial reasoning</p> Signup and view all the answers

    What is the most common format for text files in computers and on the internet?

    <p>ASCII</p> Signup and view all the answers

    How many unique symbols can be represented by ASCII-7?

    <p>128</p> Signup and view all the answers

    What is the significance of 0 and 1 voltage inputs in binary logic?

    <p>0 is off and 1 is on</p> Signup and view all the answers

    What is the equivalent of 345 in decimal to binary form?

    <p>101011001</p> Signup and view all the answers

    What is the difference between ASCII-7 and ASCII-8?

    <p>ASCII-7 has 7-bit code, while ASCII-8 has 8-bit code</p> Signup and view all the answers

    What is the name of the coding scheme developed by IBM as an extension of ASCII-7?

    <p>ASCII-8</p> Signup and view all the answers

    What is unique about the decimal numbering system compared to the binary numbering system?

    <p>Decimal uses 10 unique digits</p> Signup and view all the answers

    How many bits are used to represent each character in ASCII-8?

    <p>8</p> Signup and view all the answers

    What is the value of i in the formula for payment if the annual interest rate is 7% and the payments are made monthly?

    <p>0.0058</p> Signup and view all the answers

    What is the value of n in the formula for payment if the loan is repaid on a monthly basis over 5 years?

    <p>60</p> Signup and view all the answers

    What is the amount of down payment made by Hannah if the purchase price of the cellular phone is ₽65,000 and the down payment is 10% of the purchase price?

    <p>₽6,500</p> Signup and view all the answers

    What is the balance charged with a simple interest of 2% in the example of Hannah's cellular phone purchase?

    <p>₽58,500</p> Signup and view all the answers

    What is the purpose of loan payoff?

    <p>To pay the remaining loan before the end of the loan term</p> Signup and view all the answers

    Why is the payoff amount not just multiplying the monthly payment by the remaining number of months?

    <p>Because the computation is based on APR</p> Signup and view all the answers

    Study Notes

    Codes and Coding Schemes

    • Coding schemes are conventions that associate each character with a unique bit pattern, used for identification, privacy, and security purposes.
    • Common coding schemes include ASCII, EBCDIC, and UNICODE.
    • ASCII (American Standard Code for Information Interchange) is the most common format for text files in computers and on the internet.
    • ASCII-7 has a 7-bit code, allowing 128 unique symbols, while ASCII-8 is an extended version with an 8-bit code, allowing 256 unique symbols.

    Mathematics in the Modern World

    • Mathematics enables the development of codes and ciphers, useful for individuals and society.
    • Geometry is everywhere and can enhance artistic skills and enrich cultural heritage.
    • Geometry involves drawing, shapes, forms, patterns, symmetry, scale, and proportion.
    • Problem-solving skills, such as visualization and spatial reasoning, are essential for artists and professionals in math, science, and technology.

    Binary Number System

    • The binary number system represents numeric values using two unique digits (0 and 1).
    • Most computing devices use binary numbering to represent electronic circuit voltage states.
    • Binary code is the simplest form of computer code or programming data, often associated with machine code.

    Geometric Designs

    • Translation is moving an object in space without changing its size, shape, or orientation.
    • Dilation is expanding or contracting an object without changing its shape or orientation.
    • Reflection is flipping an object across a line without changing its size or shape.

    Geometry in Philippine Culture and Arts

    • Geometry contributes to the enrichment of Filipino culture and arts using concepts in geometry.
    • The psychology of shapes studies the influence of shapes on people.

    Loan Calculations

    • The annual interest rate is used to calculate monthly payments.
    • The formula for payment involves the principal amount, interest rate, and number of payments.

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    Description

    Explore how geometric concepts, especially isometries, are used to describe and create designs. Learn about the different types of transformation and symmetry in nature. Apply geometric concepts to enhance artistic skills and cultural understanding.

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