Students work step-by-step through the generation of a different Hilbert-like Curve (a fractal made from deforming a line by bending it), allowing them to explore number patterns in sequences and geometric properties of fractals.
Audiences:
Grades 3-5, Grades 6-8, Grades 9-12
Primary Subjects:
Discrete, Fractions, Geometry, Number and Operations
Related Topics:
decimals, fractals, fractions, geometric sequences, geometry, iteration, length, pattern, self-similarity, sequences, surface area, symmetry
Learn about fractions between 0 and 1 by repeatedly deleting portions of a line segment, and also learn about properties of fractal objects. Parameter: fraction of the segment to be deleted each time.
Audiences:
Grades 3-5, Grades 6-8, Grades 9-12
Primary Subjects:
Discrete, Geometry, Number and Operations
Related Topics:
fractals, fractions, geometric sequences, pattern, pre-calculus, recursion, sequences, sets
Step through the generation of the Koch Snowflake -- a fractal made from deforming the sides of a triangle, and explore number patterns in sequences and geometric properties of fractals.
Audiences:
Grades 3-5, Grades 6-8, Grades 9-12, Undergraduate
Primary Subjects:
Discrete, Fractions, Geometry, Number and Operations
Related Topics:
decimals, fractals, geometric sequences, infinity, iteration, lines, pre-calculus, recursion, self-similarity, sequences
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.
Audiences:
Grades 3-5, Grades 6-8, Grades 9-12
Primary Subjects:
Discrete, Fractions, Geometry, Number and Operations
Related Topics:
algebra, area, fractals, fractions, geometric sequences, iteration, pattern, pre-calculus, recursion, recursive functions, self-similarity, sequences
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.
Audiences:
Grades 3-5, Grades 6-8, Grades 9-12
Primary Subjects:
Discrete, Fractions, Geometry, Number and Operations
Related Topics:
dimension, fractals, fractions, geometric sequences, geometry, iteration, length, pattern, pre-calculus, recursion, recursive functions, self-similarity, sequences, symmetry, triangle
Step through the tortoise and hare race, based on Zeno's paradox, to learn about the multiplication of fractions and about convergence of an infinite sequence of numbers.
Audiences:
Grades 3-5, Grades 6-8
Primary Subjects:
Discrete, Number and Operations
Related Topics:
decimals, distance, fractals, geometric sequences, infinity, iteration, length, logarithm, multiplication, pattern, percentages, percents, proportion, rational numbers, recursion, recursive functions, self-similarity, sequences
