Final-Module-1-Patterns-and-Numbers-in-Nature

Module 1: Patterns and Numbers in Nature and the World

Overview (Page 2)

  • Common Perception of Mathematics

    • Often viewed as difficult and disliked.

    • Limited to numbers and operations.

  • Broader Understanding of Mathematics

    • Involves patterns, relationships, and connections in nature and human life.

    • Encourages appreciation for the beauty of patterns in the environment.

  • Objectives of the Module

    1. Identify patterns in the environment.

    2. Distinguish and analyze different types of patterns.

    3. Analyze logic and number patterns.

Patterns in Nature (Page 3)

  • Diversity of Patterns

    • Patterns are prevalent in living things, from microscopic to gigantic.

  • Types of Natural Patterns

    1. Symmetry

      • Parts mirror each other across an imaginary line.

    2. Spiral

      • Curved patterns revolving around a center point.

    3. Meander

      • Sinuous curves in rivers and streams.

    4. Cracks

      • Linear openings in materials indicating stress relief.

    5. Stripes

      • Bands of different colors on living things.

Examples of Natural Patterns (Page 4-5)

  • Symmetry

    • Examples: Amazon Lily Pad, Butterfly, Dragonfly.

  • Spirals

    • Examples: Aloe polyphylla, Tendrils, Millipede.

  • Meander

    • Example: Meandering rivers.

  • Cracks

    • Example: Textures in materials.

  • Stripes

    • Examples: Emperor Angelfish, Zebra, Tiger.

Other Types of Patterns (Page 6)

2.1 Logical Patterns

  • Importance of Logical Patterns

    • Fundamental in IQ measurement and various careers.

  • Identifying Logical Patterns

    • Look for:

      1. Rotating shapes.

      2. Increases/decreases in shapes.

      3. Alternating patterns.

      4. Mirror images.

2.2 Geometric Patterns

  • Definition

    • Consists of repeated shapes (polygons, circles).

  • Examples

    • Found in textiles, floor tiles, and artworks.

2.3 Tessellations

  • Definition

    • Patterns formed by repeating polygons without gaps or overlaps.

  • Examples

    • Honeycombs, fish scales.

2.4 Fractals

  • Definition

    • Never-ending patterns that are self-similar.

  • Examples

    • Sierpinski Triangle, Pascal's Triangle, Koch Snowflake.

Word Patterns (Page 13)

  • Types of Word Patterns

    1. Plural of Nouns

      • Examples: student-students, child-children.

    2. Past Tense of Verbs

      • Examples: bake-baked, go-went.

    3. Analogy

      • Shows relationships between words.

    4. Rhyme Scheme

      • Patterns in poetry.

Number Patterns (Page 14-16)

  • Definition

    • Lists of numbers following a specific sequence.

  • Examples of Number Patterns

    1. Arithmetic Sequences

      • Example: 23, 30, 37 (adding 7).

    2. Geometric Sequences

      • Example: Multiplying by a constant.

    3. Triangular Numbers

      • Example: 1, 3, 6, 10, 15.

    4. Square Numbers

      • Example: 1, 4, 9, 16, 25.

    5. Cube Numbers

      • Example: 1, 8, 27, 64, 125.

    6. Fibonacci Numbers

      • Further exploration in the next module.

References (Page 17)

  • Nocon, R. & Nocon, E. (2018). Essential Mathematics for the Modern World. C & E Publishing, Inc.

  • Baltazar, E., Ragasa, C., & Evangelista, J. (2018). Mathematics in the Modern World. Quezon City: C & E Publishing, Inc.