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...

Keep your lessons on the right track! Young scholars investigate patterns by building different-sized trains using manipulatives. They graph the patterns and write rules to represent the variables.

The context of rabbit populations introduces the Fibonacci sequence. Scholars then calculate ratios and see how they converge to the golden ratio. They also explore some instances of the Fibonacci sequence and golden ratio in nature.

Watch as your pupils engineer their learning. A hands-on lesson asks scholars to build trains from Cuisenaire Rods to explore patterns. They build both a recursive rule and exponential function to represent their patterns. 

Find the optimal strategy for winning the integer game. Young scholars challenge each other to different variations of a game exploring repeated subtraction in the final installment of a three-part series. They complete the lesson by...

Apply the Fibonacci number patterns to writing numbers with varying bases. Learners begin by practicing writing numbers with a given base, b. They then apply the process to write large numbers using the Fibonacci representation. 

Math is beautiful, as is poetry. Young poets investigate the Fibonacci sequence and produce the first few values of the sequence. They then write poems using the sequence values as the number of syllables for each line.

Discover the wonders of the Fibonacci sequence. Young computer scientists watch videos on the Fibonacci sequence in nature and use spreadsheets to determine specific values in it. The lesson teaches iterative and recursive techniques for...

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...

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...

Who would have thought we could use SpongeBob as a mathematical example? A fantastically fun video that provokes higher thinking about the reality that SpongeBob's house might not actually be a pineapple based on its relation to the...

Middle schoolers 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.

Students examine and describe numeric patterns while record the results in a table. They analyze Fibonacci numbers and apply patterns to multiplication facts.

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).

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.

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...

In this Fibonacci number sequence activity, learners problem solve the answers to six word problems involving the process of his number sequence.

In this learning about Fibonacci worksheet, learners read about Leonardo Fibonacci and his contribution to mathematics, then study the pattern of Fibonacci numbers, in math and in nature.

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...