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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.
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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...
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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.
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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...
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Numbers in Nature
Students identify numbers in nature. In this algebra activity, students solve problems using Fibonacci sequence as it is expressed in nature. They research the Fibonacci's pattern as it relates to numbers.
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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...
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Amazing Fibonacci
Students integrate the patterns of Fibonacci into music. For this geometry lesson, students apply the concepts of recursion, pattern and Phi or Golden Ratio to composing and playing music on various instruments. They lesson is co-taught...
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Fibonacci Patterns
Students solve problems using the Fibonacci Patterns. In this geometry instructional activity, students trackthe growing rate of a rabbit population. They collect the data and graph their results. They make predictions based on their...
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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.
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Leonardo of Pisa and the Golden Rectangle
Young scholars investigate geometry and algebra and the history behind these two interesting subjects. For this algebra lesson, students analyze the Fibonacci Sequence and relate it to solving exponential equations. There are alot of...
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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.
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Perplexing Patterns
Seventh graders identify and find missing patterns. In this algebra lesson, 7th graders investigate numbers and sequences and complete the pattern. They make a chart and discuss similarities and differences.
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The Function Box
Students explore arithmetic and numerical patterns. After observing a teacher created function box, students describe a pattern and predict what will "come out" of the function box. They explore patterns such as geometric shapes,...
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Building Patterns Incrementally
Students study the recurrence rules for patterns where the increase from one term to the next is not constant. They look for the recurrence rule on their own. They copy the pattern and create the next element, continue the pattern with...
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Building Patterns Constantly
Students 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.
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Space Tiling with Captain Planet
Fifth graders Apply the symmetry and angle properties of polygons, using symmetry and angle properties of polygons to solve practical problems. They study tessellates and explain why a shape tessellates.
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Estimation and Pattern Discovery
Students collect sunflower heads from their community garden. They estimate its seed count using different strategies. They graph their estimations on a graph and use calculators to find the actual total.
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