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Organization: National Council of Teachers of Mathematics
Grade Band: Grades 3 - 5
Standard Goal: Algebra
| Recognizing Patterns |
Lesson: Students learn to identify a variety of patterns using sequences and tessellations.
| | 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 Pascal's Triangle |
Lesson: Shows students that number patterns exist in the Pascal's Triangle, and reinforces student's ability to identify patterns.
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Cantor's Comb |
Activity: Learn about fractions between 0 and 1 by repeatedly deleting portions of a line segment, and also learn about properties of fractals. Parameter: fraction of the segment to be deleted each time.
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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.
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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.
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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.
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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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| Spy Game |
Lesson: Students will learn about modular arithmetic in order to decipher encrypted messages.
| | 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.
| | Recognizing Patterns |
Lesson: Students learn to identify a variety of patterns using sequences and tessellations.
|
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.
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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.
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