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...
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
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...
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
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...
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
I Am Golden
Students 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
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
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.
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.
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.