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Organization: North Carolina Standard Course of Study Grade Band: 3rd Grade Standard Goal: 5. The learner will recognize, determine, and represent patterns and simple mathematical relationships.
| 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.
| | Patterns in Fractals |
Lesson: Introduces students to the idea of finding number patterns in the generation of several different types of fractals.
| | Patterns in Pascal's Triangle |
Lesson: Shows students that number patterns exist in the Pascal's Triangle, and reinforces student's ability to identify patterns.
| | 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.
|  Coloring Remainders in Pascal's Triangle |
Activity: Color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that have the same remainder when divided by the number rolled, thereby practicing division and remainders, investigating number patterns, and investigating fractal patterns. Coloring Remainders in Pascal's Traingle 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.
|  Tessellate! |
Activity: Create a tessellation by deforming a triangle, rectangle or hexagon to form a polygon that tiles the plane. Corners of the polygons may be dragged, and corresponding edges of the polygons may be dragged. Parameters: Colors, starting polygon.
|  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.
|  Sequencer |
Activity: Learn about number patterns in sequences and recursions by specifying a starting number, multiplier, and add-on. The numbers in the sequence are displayed on a graph, and they are also listed below the graph.
|  Venn Diagram Shape Sorter |
Activity: Sort colored shapes into a Venn Diagram. Appropriate for elementary grades.
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