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...

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...

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...

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).

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...

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...

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...

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.

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...

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.

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.

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...

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.

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.

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...

In this difference of equations learning exercise, 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...

Tenth graders investigate the Golden Ratio.  In this geometry instructional activity, 10th graders explore the Fibonacci sequence in the context of The Fibonacci Rabbit problem.  Students examine how the ratio of two consecutive...

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...

In this online number sequences activity, 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...

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.

Learners 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.

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.

Learners find Fibonacci sequences. In this applied Science lesson, students solve Fibonacci sequence problems. Learners explore the mathematical patterns of objects in nature.

In this numbers and sequences worksheet, learners solve problems presented in six different activities.  Extension problems are also provided.