Interactivate: Section 1: Patterns and Sequences

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Math Thematics 2nd Ed. 8th

Module 8 - MATH-Thematical Mix

Section 1: Patterns and Sequences

Calculating...

Lesson • Activity • Discussion • Worksheet • Show All

Lesson (...)

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.

Recognizing Patterns

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

Activity (...)

Koch's Snowflake

Activity: 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.

Recursion

Activity: Graph recursive functions by defining f(0)=C and defining f(n) based on f(n-1).

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.

Discussion (...)

Worksheet (...)

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