Curated OER
Fair Shares and Geometric Spirals
Learners tackle the problem of how to divide a triangular piece of land fairly among four people. They decide whether their method of fair division always works or if it only works in special cases.
Curated OER
Spiral Vase
Young scholars identify spiral shapes found in nature and throughout history. They use this ancient pot-building technique to form a contemporary, unique coil pot. Students embellish their creation with decorative techniques and materials.
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
Patterns in Nature
In this patterns in nature worksheet, students read about the Fibonacci Spiral, then follow the directions to plot one on the graph paper and draw the spiral, with links to more information.
Curated OER
Spiral Symmetry
Taking the notion of symmetry to the next level, this looks at combining rotation and translation symmetry to build spiral symmetry in three dimensions. Using the Zome modeling system and an instructor’s guidance, geometers try to build...
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
The Shape of Things
Fourth graders develop their writing skills. For this paragraph structure lesson, 4th graders research natural disasters, compile their findings, create mobiles and write stories based on the mobiles.
Poetry4kids
How to Start a Poetry Journal
Practice makes proficient! Using a journal of their choice, authors organize pages, then begin their writing journey of on-going writing practice in which they compose all poetic forms including diamante, limerick, free verse, and more!
Curated OER
Discussing Poetry In Class
Learners investigate syllabic metre and rhyming techniques by analyzing poetry. In this language arts lesson, students read the poem Considering the Snail and discuss the nature and mood of the poem with their classmates....
Curated OER
Spiral Patterns in Art
In this art worksheet, students view a picture of Alexander Calder's sculpture "Black, White, and Ten Red." They analyze the sculpture by first finding the "rule" in the Fibonacci sequence. Students read a paragraph about where the...
Curated OER
Patterns Across Cultures: The Fibonacci Sequence in Visual Art
Learners study the origin of the Fibonacci Sequence. For this investigative lesson students identify works of art where Golden Spiral or Ratio appear.
Mathematics Vision Project
Module 6: Congruence, Construction, and Proof
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This...
Glynn County School System
Earth's Magnetic Field and the Moon
The surface of the moon has an amazing tale to tell. Learn about the moon's story with a PowerPoint presentation that describes the unique features of the moon's surface as well as explains its movement in relation to Earth.
Curated OER
Plants Spiral Puzzle
In this plants crossword, students solve clues for parts and definitions of plants to complete the crossword. Students complete 8 spaces in the crossword.
Curated OER
A Lesson on the Root Spiral
Learners create lines and shapes with a compass and a straight edge. In this geometry lesson, students investigate square roots, irrational numbers and spirals. They explore nature to see the shapes representing mathematics and geometric...
Curated OER
Math Vocabulary Spiral Puzzle
In this math vocabulary worksheet, students solve the clues for math vocabulary words to fill in the blanks in a crossword. Students complete 8 problems.
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...
Curated OER
CONCEPTS IN NUMBER THEORY.
Students study the Maya culture and their achievements in mathematics, how bacteria grow exponentially, use rational numbers to convert back and forth between Celsius and degrees Fahrenheit, how some architectural designs are examples of...
Curated OER
Identifying Lines of Symmetry and Creating Reflections over a Line
Fifth graders review the concept of a line of symmetry by using pieces of paper that have pictures such as, letters of the alphabet, polygons, and designs made from polygons in order to determine if they have symmetry. The fine,...
Curated OER
Design, Grow, and Ponder in a Garden
A garden can inspire students to make mathematical connections.
Curated OER
Are You a Golden Ratio?
Middle schoolers explore the concept of the golden ratio in nature and architectural design. They discuss examples such as petals on a sunflower and the Parthenon. In small groups they take turns measuring their body parts to find a...
Curated OER
Ocean Exploration: Shapes and Patterns Under the Sea
So many shapes in our vast oceans. Young explorers can discover new shapes in a variety of ways in this lesson. One way is having free exploration with a pattern shape kit handed out by the teacher. Another is by viewing a...
Curated OER
Comparing and Contrasting
Students practice compare and contrast skills. In this science and language development lesson, students complete a T chart generating traits of a snail and a clam. Students complete a related worksheet.
Curated OER
Unit 9 Trigonometry
In this trigonometry activity, learners find the lengths of triangles. They construct triangles and spirals. Students complete indirect measurement problems. They find the distance between objects and determine the volume of rectangular...