Curated OER
Math and Music: Fibonacci Sequence
Students investigate the mathematical patterns of the Fibonacci Sequence. They determine how math is connected to music, specifically looking at music the uses the pattern sequence found in the Fibonacci Sequence.
Curated OER
Six Number Pattern and Sequence Activities
In this numbers and sequences worksheet, students solve problems presented in six different activities. Extension problems are also provided.
Curated OER
Golden Ratio
Tenth graders investigate the Golden Ratio. In this geometry lesson, 10th graders explore the Fibonacci sequence in the context of The Fibonacci Rabbit problem. Students examine how the ratio of two consecutive Fibonacci number create...
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Class of Gold
How can you see a number in nature? Here, learners discover both Fibonacci numbers and the golden ratio by exploring a number of different resources. Note: Some of the resources are older and may be missing some of the links, but the...
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There's Gold in Them Thar Ratios
Students draw a model of the bunny problem which generates the Fibonacci Sequence, spirals generated from golden rectangles and golden triangles; identify the golden ratio in the human body, and find the Fibonacci numbers in nature.
Curated OER
Turk-o-nacci Sequence
For this sequence worksheet, students use the Fibonacci sequence to determine the number of turkeys in a flock. This one-page worksheet contains 1 multi-step problem. The answer is provided at the bottom of the page.
Curated OER
Eye Spy a Pattern
Fifth graders identify patterns by understanding how things work together.
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Spiral Patterns in Art
In this art worksheet, students view a picture of Alexander Calder's sculpture "Black, White, and Ten Red." They analyze the sculpture by first finding the "rule" in the Fibonacci sequence. Students read a paragraph about where the...
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Patterns and Sequences
Sixth graders explore pattern recognition and sequencing. They create arithmetic and geometric sequences with colors, shapes, and numbers. Students write expressions of arithmetic sequences and geometric sequences to find the nth term.
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Patterns and Sequence
In this patterns and sequence worksheet, students complete the patterns and sequence of numbers including fractions, exponents, and more. Students complete 12 problems.
Illustrative Mathematics
Hexagonal Pattern of Beehives
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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Fibonacci Patterns
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.
Curated OER
The Fibonacci Keyboard- Jazz and Math
Students demonstrate an understanding of the relationships of the Fibonacci Sequence. They apply the Fibonacci Sequence and find its relationship to a piano keyboard. They explore various relationships between music and the Fibonacci...
Teach Engineering
Discovering Phi: The Golden Ratio
Fe, phi, fo, fum. This activity leads pairs to find the ratio of consecutive terms of the Fibonacci sequence. The pairs find that the Fibonacci sequence can be found in many places. A discussion with the class shows that the ratios found...
Curated OER
Applied Science - Science and Math Pre Lab
Students find Fibonacci sequences. In this applied Science lesson, students solve Fibonacci sequence problems. Students explore the mathematical patterns of objects in nature.
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Math in Nature
Students explore math in nature. In this lesson on the Fibonacci sequence, students use natural objects and Fibonacci numbers to discover mathematical patterns.
Curated OER
I Am Golden
Middle schoolers become familiar with patterns, the Fibonacci Sequence, and the Golden Ratio. They see how many places these occur. They have practical applications for using the calculator and making charts to extend patterns.
Curated OER
The Fibonacci Sequence Through Art Lessons
It is easy to combine math and arts lessons to create motivating and interesting activities.
Curated OER
Fibonacci Sequences Icebreaker
Students explore Fibonacci sequences. In this math lesson, students identify the relationship between two numbers. Students use Fibonacci sequences to create algebraic equations.
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Searching for Patterns
In these patterns worksheets, students complete 4 pages of activities for patterns. Students improve their visual interpretation skills with the activities.
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What's My Function?
Fifth graders utilize input/output tables to help them solve algebraic equations. They incorporate patterns, number sequences and relations to represent and analyze mathematical problems and number relationships using algebraic symbols.
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Patterns in Nature
Students learn about artist Larry Schulte and view examples of his work. They create addition sentence for the first seven numbers of the fibonacci sequence and use unifix cubes to build that sentences. Students color and create three...
Curated OER
Perplexing Patterns
Seventh graders identify and find missing patterns. For this algebra lesson, 7th graders investigate numbers and sequences and complete the pattern. They make a chart and discuss similarities and differences.
Curated OER
Sequences, Counting and Probability - Week 4
In this sequence worksheet, young scholars complete problems involving geometric sequences. They identify the nth term in a sequence. Students explore various positions in the Fibonacci sequence. This two-page worksheet contains eight...