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
Determine the value of two fractions you have chosen (which are represented as points on a number line). Then find a fraction whose value is between your two fractions (using an arrow on the number line as a guide) and determine its value. Bounded Fraction Pointer is one of the Interactivate assessment explorers.
Audiences:
Grades 3-5, Grades 6-8
Primary Subjects:
Fractions, Number and Operations
Related Topics:
comparing, fractions, number line, ordering, rational numbers
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 a Hilbert Curve -- a fractal made from deforming a line by bending it, and 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:
chaos, fractals, geometric sequences, geometry, iteration, length, lines, pattern, recursion, self-similarity, sequences
Measure angles, distances, and areas in several different images (choices include maps, aerial photos, and others). A scale feature allows the user to set the scale used for measuring distances and areas.
Audiences:
Grades 3-5, Grades 6-8, Grades 9-12
Primary Subjects:
Geometry
Related Topics:
algebra, angles, area, dimension, intervals, length, proportion, scale, transformation
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
Mixtures allows exploration of percents through two piles of colored and uncolored chips. The user must decide how many chips to color to create the desired percentage of colored chips compared to the total pile. Mixtures is one of the Interactivate assessment explorers.
Audiences:
Grades 3-5, Grades 6-8, Grades 9-12
Primary Subjects:
Number and Operations
Related Topics:
assessment, counting, percentages, percents, proportion, sets
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
