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...
K20 LEARN
Are We Golden?
Lead your class on a search for precious bones. Using a presentation, the class investigates the golden ratio in art and nature. Groups of pupils measure specific bones and find the average ratio for the class. To further cement the...
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...
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...
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....
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...
Teach Engineering
The Fibonacci Sequence and Robots
What better way to introduce the idea of a sequence than with robots! An educational activity explains the classic Fibonacci sequence before pupils build and program a robot to move. Additionally, the activity challenges individuals to...
Curated OER
Sequences
In these math worksheets, students will complete 3 pages of sequencing work. The first page is Simple Sequences (17 problems). The second page is Harder Sequences (18 problems). The third page is Fibonacci Sequence work (9 problems).
Curated OER
Calculator Tricks: The Golden Prediction
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...
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 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 II
Study Fibonacci sequences and see a related set of numbers. Learn and review Lucas numbers and use of quadratic equations to find a general term of a sequence of numbers that is generated by a recurrence relation similar to Fibonacci's.
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...
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
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
Worksheet - Limits
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.
Curated OER
How Does Your Population Grown?
Do you know how the population has grown of your community? Can you predict the population over the next half century? Can we find an algebraic model that matches our data? These along with many more questions can be researched by...
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
Zome System
Get hundreds of interactive activity plans using the Zome Modeling System. Among dozens of lessons, a first exposure to similar triangles can be very visual for the learner. Here, young geometers explore the number of different shapes...
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
Sequences in Geogebra
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...
Curated OER
Difference of Equations
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...
Curated OER
Golden Ratio
Tenth graders investigate the Golden Ratio. For 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...
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...