Lesson 5: Perfect Pattern Predictions

Introduces students to the idea of finding number patterns in the generation of several different types of fractals.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Discrete, Geometry, Number and Operations

Related Topics: area, arithmetic, chaos, decimals, dimension, fractals, fractions, geometric sequences, geometry, graph, iteration, length, lines, pattern, pythagorean theorem, rectangles, recursion, segment, self-similarity, sequences, surface area, symmetry, triangle

Shows students that number patterns exist in the Pascal's Triangle, and reinforces student's ability to identify patterns.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Discrete, Geometry, Number and Operations

Related Topics: arithmetic, binomial, chaos, coefficient, combinatorics, decimals, dimension, division, divisors, factors, fractals, fractions, geometric sequences, geometry, infinity, integers, iteration, length, lines, multiples, multiplication, pascal's triangle, pattern, probability, rectangles, recursion, remainders, segment, self-similarity, sequences, surface area, symmetry, triangle, whole numbers

Students learn to identify a variety of patterns using sequences and tessellations.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Discrete, Geometry, Number and Operations

Related Topics: addition, arithmetic, arithmetic sequences, geometric sequences, hexagon, iteration, multiplication, pattern, planes, polygon, recursion, recursive functions, sequences, squares, symmetry, tessellations, triangle