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Organization: North Carolina Standard Course of Study Grade Band: 5th Grade Standard Goal: The learner will demonstrate an understanding of patterns, relationships, and elementary algebraic representation.
| An Introduction to Arithmetic and Geometric Sequences |
Lesson: Introduces students to arithmetic and geometric sequences. Students explore further through producing sequences by varying the starting number, multiplier, and add-on.
| | Introduction to Fractals: Geometric Fractals |
Lesson: Outlines the approach to building fractals by cutting out portions of plane figures.
| | Patterns in Fractals |
Lesson: Introduces students to the idea of finding number patterns in the generation of several different types of fractals.
|  Caesar Cipher |
Activity: Create your own affine cipher for encoding and decoding messages. Input your own constant and multiplier, then input a message to encode.
|  Coloring Multiples in Pascal's Triangle |
Activity: Color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that are multiples of the number rolled, thereby practicing multiplication tables, investigating number patterns, and investigating fractal patterns. Coloring Multiples in Pascal's Triangle is one of the Interactivate assessment explorers.
|  Pattern Generator |
Activity: Recognize patterns in a series of shapes, numbers, or letters. After determining the pattern, the student fills in the missing pieces. Three levels of difficulty are available.
|  Sierpinski's Carpet |
Activity: Step through the generation of Sierpinski's Carpet -- a fractal made from subdividing a square into nine smaller squares and cutting the middle one out. Explore number patterns in sequences and geometric properties of fractals.
|  Sierpinski's Triangle |
Activity: Step through the generation of Sierpinski's Triangle -- a fractal made from subdividing a triangle into four smaller triangles and cutting the middle one out. Explore number patterns in sequences and geometric properties of fractals.
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