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PPT
Curated OER

Alice in Fractalland

For Teachers 4th - 8th Standards
Take your class on a field trip to Fractalland where they'll learn all about number and shape patterns. Based on Disney's movie Alice in Wonderland, this resource takes young mathematicians on an adventure as they explore patterns in...
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Interactive
CK-12 Foundation

Recursive Formulas: Fibonacci Sequence

For Students 11th - Higher Ed Standards
Explore the building blocks of the Fibonacci Sequence. Given the lengths of sides of squares, pupils deduce the pattern to determine the lengths of two more squares. Learners continue to work with recursive formulas to generate numerical...
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PPT
Curated OER

Calculator Tricks: The Golden Prediction

For Teachers 6th
Excite the class with a mathematical trick, a calculator, and a good number sense. They use the directions provided on each slide to make a list of numbers, use their calculator to divide, and find the golden mean. A little history on...
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PPT
Curated OER

Number Sequences

For Teachers 4th - 5th
Number sequences make for great challenges that stimulate pattern recognition, algebraic reasoning, and number sense. This slide-show includes eleven number sequences for learners to work through, an explanation of what number sequences...
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Lesson Plan
MENSA Education & Research Foundation

Fabulous Fibonacci and His Nifty Numbers

For Teachers 3rd - 5th Standards
Fibonacci numbers are not only found in the classroom but also in nature. Explore the concept of Fibonacci numbers through a series of lessons designed to gain insight into the mathematical reasoning behind the number pattern, and spark...
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Lesson Plan
Teach Engineering

The Fibonacci Sequence and Robots

For Students 6th - 8th Standards
What better way to introduce the idea of a sequence than with robots! An educational lesson explains the classic Fibonacci sequence before pupils build and program a robot to move. Additionally, the lesson challenges individuals to...
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Worksheet
Curated OER

Learning about Fibonacci

For Students 5th - 7th
In this learning about Fibonacci worksheet, students read about Leonardo Fibonacci and his contribution to mathematics, then study the pattern of Fibonacci numbers, in math and in nature.
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Lesson Plan
Curated OER

The Fibonacci Sequence

For Teachers 6th - 8th
Students investigate a numerical pattern and look for evidence of mathematical patterns in nature. They solve puzzles and work with a partner to predict sequential numbers in a series.
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Worksheet
Curated OER

Worksheet 1: Fibonacci Numbers

For Students Higher Ed
In this Fibonacci worksheet, students prove by induction the Fibonacci numbers are recursive. They find a recursive definition for a given set of numbers. This two-page worksheet contains five multi-step problems that involve proofs.
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Lesson Plan
Curated OER

Worksheet - Limits

For Teachers Higher Ed
In this limit worksheet, students give examples of described sequences and find the limits. They compute numbers in the Fibonacci sequence. This one-page worksheet contains six multi-step problems.
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Lesson Plan
Curated OER

Fibonacci Patterns

For Teachers 9th - 10th
Students solve problems using the Fibonacci Patterns. In this geometry lesson, students trackthe growing rate of a rabbit population. They collect the data and graph their results. They make predictions based on their results.
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Lesson Plan
Curated OER

Guess That Sequence!

For Teachers Pre-K - 1st
Students analyze number sense by participating in a pattern identification activity. In this number sequence lesson, students examine several groups of numbers and identify the sequence in the group before adding on to it. Students check...
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Worksheet
Curated OER

Difference of Equations

For Students 11th - 12th
For this difference of equations worksheet, students solve and complete 49 various types of problems. First, they obtain the solution of any linear homogeneous second order difference equation. Then, students apply the method of solution...
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Lesson Plan
Curated OER

"How Divine Is My Proportion?"

For Teachers 8th
Eighth graders explore the concept of the divine proportion/golden ratio. In this Fibonacci Sequence exploratory lesson, 8th graders measure the length and width of various objects to see which items have a divine proportion. Students...
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Worksheet
Curated OER

Easy Worksheet: Special Numbers

For Students 9th - 12th
In this special numbers worksheet, students solve 4 short answer problems. Students find various terms in the Fibonacci sequence, triangular number sequence, and the natural numbers in Pascal's Triangle.
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Lesson Plan
Curated OER

Math in Nature

For Teachers 7th - 12th
Students explore math in nature. In this instructional activity on the Fibonacci sequence, students use natural objects and Fibonacci numbers to discover mathematical patterns.
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Lesson Plan
Curated OER

Sequences in Geogebra

For Teachers Higher Ed
Students follow detailed directions to use the GeoGebra program. In this mathematics lesson, students find the nth term of a sequence, and use line art to approximate a Bezier's curve. Students locate points and segments on a circle. The...
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Lesson Plan
Curated OER

Where Math Meets Poetry

For Teachers 6th - 12th
Students identify Fibonacci's sequence of numbers and use the pattern to write poetry with one syllable words. In this math and writing lesson, students identify Fibonacci's sequence of numbers and learn about this early mathematician....
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Lesson Plan
Curated OER

Secret Sequences

For Teachers 3rd - 5th
Students are exposed to different types of sequences. in this sequencing lesson, students learn about simple sequences, multiplication sequences, declining sequences, the Fibonacci sequence and other sequences.
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Lesson Plan
Curated OER

Using Ratios

For Teachers 8th - 10th
Students study the Golden Ratio and its relationship to Renaissance artists. After exploring proportions and ratios used by Renaissance artists, students create a mix of ten variations of color paint, and record the ratios of primary...
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Activity
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Illustrative Mathematics

Hexagonal Pattern of Beehives

For Teachers 9th - 12th Standards
Young geometers and biologists investigate the math of nature in an activity that is just the bee's knees. Participants will study the tessellations of hexagons in a beehive, along with the natural rationale behind the specific shape....
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Lesson Plan
Curated OER

How Many Cells Are Born in a Day?

For Teachers 8th - 12th
Young scholars predict the number of cells after a series of cell divisions.  In this cells lesson students create a graph of their results and create a patterned drawing. 
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Worksheet
Curated OER

Thinking!!!

For Students 4th - 8th
In this mathematical concepts worksheet, students complete math word problems dealing with fractions, multiplication, probability, and more. Students complete 8 problems total.