Curated OER
Discovering Math: Rational Number Concepts
Students explore the concept of Egyptian contributions in mathematics. For this Egyptian contribution lesson, students research Egyptian hieroglyphics and pyramids. Students write numerals in hieroglyphics. Students use Egyptian...
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Finding Fibonacci
Students study and apply the Fibonacci numbers and how they occur in nature. Students solve problems using the Fibonacci numbers.
Curated OER
Worksheet - Limits
For 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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The Fibonacci Keyboard- Jazz and Math
Pupils 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...
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Fibonacci Patterns
Young scholars solve problems using the Fibonacci Patterns. For 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.
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...
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Number Theory - Week 12
For this number theory worksheet, students study integers and their properties. They explore the Fibonacci Sequence and approximate irrational numbers. This two-page worksheet contains eight problems.
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The Fibonacci Sequence Through Art Lessons
It is easy to combine math and arts lessons to create motivating and interesting activities.
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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.
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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
Searching for Pattern 13.1-13.4
In this recognizing patterns worksheet, 6th graders identify patterns of shapes and numbers and determine the pattern shape or number in question by skipping patterns (i.e.: the tenth, the forty-eighth, the ninety ninth) and by using...
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Six Number Pattern and Sequence Activities
In this numbers and sequences activity, students solve problems presented in six different activities. Extension problems are also provided.
Curated OER
Number Patterns and Sequences
In this number patterns and sequences worksheets, students complete activities for number patterns and sequences including Fibonacci's Sequence, lines, regular polygons, and towers. Students complete 15 problems.
Curated OER
Representing Patterns & Evaluating Expressions
Write algebraic expressions, determine patterns, and evaluate expressions in a real-world context. Learners engage in a series of collaborative activities to identify, model, and give variables for real-world patterns. They write...
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Patterns and Algebra - Modeling
Seventh grade math is so much fun! They solve 10 different problems that include using patterns to complete a table, describe the pattern, and identify the specific term in the pattern for each. Then they give a description of the...
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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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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 in Nature
In this patterns in nature worksheet, students read about the Fibonacci Spiral, then follow the directions to plot one on the graph paper and draw the spiral, with links to more information.
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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.
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Sequences, Counting and Probability - Week 4
In this sequence worksheet, students 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...
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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
"How Divine Is My Proportion?"
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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Patterns and Sequences
Ninth graders examine sequential number patterns and the Fibonacci sequence. Given number patterns, they determine the next number in a sequence. Students develop their own number patterns and exchange them with another to be solved.
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Badminton or Basketball?
Learners explain why for a group of n people, there are an equal number of possibilities for subgroups of size k (such that k < n) and size n - k.
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