Interactive
CK-12 Foundation

Exponential Growth: Exponential, Fractal Snowflakes

For Students 10th - 12th Standards
Examine an exponential growth model. Using a fractal, learners calculate the perimeters of each stage. When comparing the consecutive perimeters, a pattern emerges. They use the pattern to build an equation and make conclusions.
Lesson Plan
Curated OER

A Matter of Pattern

For Teachers K - 2nd
Students will create and predict patterns formed when making paper snowflakes. Students will construct snowflakes understanding that patterns may be predicted based on observation.
Lesson Plan
Curated OER

Koch Snowflake

For Teachers 9th - 10th
Students investigate Koch's Snowflake. In this geometry lesson, students identify the properties of creating Koch's snowflake. They solve problems dealing with fractals and patterns.
Lesson Plan
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Fractals: Koch Snowflake

For Teachers 9th - 11th
Students investigate the properties of Koch's snowflake. In this geometry lesson, students investigate fractals and patterns. They create Koch's snowflake using Cabri software.
Activity
Curated OER

Make A Crystal Snowflake!

For Teachers 1st - 6th
Students make a crystal snowflake decoration out of string, pipe cleaners, food coloring, boiling water, and more. In this snowflake lesson plan, students let it dry over night and see crystals in the morning.
Lesson Plan
Curated OER

The Dragon Curve Fractal

For Teachers 8th - 11th
Students identify the properties of a dragon curve. In this geometry instructional activity, students identify sequences and patterns as they solve fractals. They investigate patterns found in nature.
Lesson Plan
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Sampling Rocks

For Teachers K - 2nd
Here is a geology lesson which invites learners to explore a variety of rocks. They find rocks in the schoolyard and classify them according to size, color, and weight, then read the book Everybody Needs a Rock. Good lesson!
Lesson Plan
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Fractal and the Dragon Curve

For Teachers 11th - 12th
Students explore Fractal designs. In this geometry lesson, students observe the different polygons created in nature and relate it to math. They define polygons on planes and rotate polygons about a point.
Lesson Plan
Curated OER

Fractals Rock

For Teachers 9th - 11th
Students identify the repeated sequences of a pattern. In this geometry lesson, students identify fractals in patterns and nature. They construct a fractal tree and make conjectures.
Lesson Plan
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Fractals Rock: Investing the Fractal Tree

For Teachers 9th - 10th
Learners investigate the relationship between fractals and sequences. In this geometry lesson, students build a fractal tree. They investigate different career fields where fractals are used in the real world.
Lesson Plan
Curated OER

Great Lakes Snow Analysis Collaborative Network

For Teachers 6th - 8th
Students interpret data on snow cover and analyze trend patterns. In this snow lesson students compare data and locate their school's GPS coordinates.
Lesson Plan
Curated OER

Geometry History Lesson

For Teachers 10th
Tenth graders investigate the early history of geometry. In this geometry lesson, 10th graders investigate translations, rotations, and reflections. They also solve problems with line of symmetry and rotational symmetry while reviewing...
Lesson Plan
Curated OER

The Fractal Geometry of Nature

For Teachers 8th - 10th
Students identify patterns found in nature. In this algebra lesson plan, students model situation in nature using fractals. They investigate biological geometric structures and draw conclusion based on geometric concepts.