Curated OER
Fibonacci Number Patterns
In this patterns learning exercise, 11th graders identify and solve 3 different problems that include completing Fibonacci number patterns. First, they continue the pattern shown at the top to find more Fibonacci numbers. Then, students...
Curated OER
Alice in Fractalland
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...
MENSA Education & Research Foundation
Fabulous Fibonacci and His Nifty Numbers
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...
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...
Curated OER
Number Sequences
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...
Curated OER
Patterns in Nature
Research patterns in nature which illustrate biological and mathematical concepts. Your class will discover and explore aspects of fractals, Fibonaccis numbers, whale and butterfly migration patterns, whale identification, flower...
CK-12 Foundation
Recursive Formulas: Fibonacci Sequence
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...
Curated OER
Learning about Fibonacci
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.
Curated OER
A Fibonacci Primer
Upper graders explore the Fibonacci sequence. They examine the characteristics of the Fibonacci sequence, list the properties of the sequence and determine how it connects to Pythagorean Triples. Related thinking questions are included.
Curated OER
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...
Curated OER
Fibonacci and the Golden Number!
In this math patterns learning exercise, students review the beginning numbers in Fibonacci's numbers, find the pattern, follow directions and problem solve to find the Golden Number and complete a chart, measure lengths of body parts...
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...
Curated OER
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.
Willow Tree
Fibonacci and Other Sequences
Fibonacci is an interesting sequence that forms some unique patterns. Learners explore sequences that do not have the typical arithmetic and geometric patterns. They identify the pattern and find the next consecutive terms....
Curated OER
The Fibonacci Sequence
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.
Curated OER
Amazing Fibonacci
Students integrate the patterns of Fibonacci into music. In this geometry lesson plan, students apply the concepts of recursion, pattern and Phi or Golden Ratio to composing and playing music on various instruments. They lesson plan is...
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
Extending Online Number Sequences
In this online number sequences worksheet, students work out the answers to eight comprehensive exercises with thirty-eight calculations involving a variety of sequences. Students answers are automatically graded online as they go and...
Curated OER
Fibonacci Numbers
Students calculate the Fibonacci sequence of numbers. Through the use of Fibonacci numbers in flowers, leaves, fruits, vegetables, pine cones, and other forms of nature; students explore how Fibonacci numbers occur in nature. Then they...
Radford University
Fibonacci is All Around
One ratio to rule them all. Young mathematicians investigate the Fibonacci sequence and the Golden Ratio. To begin the first lesson, they use a spreadsheet to see how the Fibonacci sequence gives the Golden Ratio. The second lesson...
Curated OER
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.
Curated OER
Building Patterns Constantly
Pupils are introduced to some number patterns using buildings constructed with squares. They construct tables of patterns and finding the recurrence rule for a simple pattern where the increase from term to term is a constant.
Curated OER
Eye Spy a Pattern
Fifth graders examine how to see patterns by showing how things work together. They identify, analyze and determine a rule for predicting and extending numberical patterns involving operations of whole numbers, decimals and fractions.
Curated OER
Fibonacci Trick
In this algebra worksheet, students solve a puzzle starting with two single digit numbers and eventually conclude that the answer can be used with Fibonacci's pattern. There are 11 steps to the puzzle with a provided answer.