Programs Geometry Research Resources
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Pi Day Geometry Activity | Archimedes, Polygons & Trigonometry I Grades 8–10
Stop Teaching 3.14. Start Proving Where It Comes From.This advanced Pi investigation goes beyond measuring. Students calculate. Justify. Prove. Designed for Grades 8–10, this activity transforms Archimedes’ method into a rigorous geometry lab. • Students approximate π using inscribed and circumscribed polygons. • They apply the Pythagorean Theorem and the Law of Cosines. • They compare measured and calculated values. • They explain why accuracy improves with more sides. This is not a craft.
8th - 10th
Geometry, Measurement, PreCalculus
CCSS
8.G.B.6
, 8.G.B.7
, HSF-TF.A.3
+1
Pi Day Discovery Activity | Hands-On Math Exploration (Grades 5-7)
Stop asking students to just memorize 3.14 and start letting them discover it! Transform your classroom into an ancient Greek laboratory or a bustling bakery with this Archimedes-inspired investigation that uses "Sandwich Logic" to reveal the secrets of a circle. What is Included?This comprehensive 11-page PDF resource is ready to print and go: The Story of Pi: An engaging history of Archimedes and his famous "Do not disturb my circles!" legend. Jenny’s Sweets Bakery Adventure: A narrative-dr
5th - 7th
Algebra, Geometry, Measurement
CCSS
7.G.B.4
, 7.G.B.6
, 7.NS.A.2d
+3
Elliptical Orbits Project (PBL) - Precalculus Conic Sections & Eccentricity
This engaging Project-Based Learning (PBL) activity brings conic sections to life by having students explore how ellipses model real-world orbits. Students select a planet, moon, comet, or satellite and use research to gather key data such as eccentricity and orbital measurements, then create a mathematical model using the equation of an ellipse. They will construct and label a diagram, analyze how eccentricity affects the shape of the orbit, and present their findings through a visual project.
7th - 12th
Algebra, Geometry, PreCalculus
CCSS
HSF-IF.B.4
, HSF-BF.A.1
, HSG-GPE.A.3
+1
Pi Day Math Activities & Worksheets | Circumference, Area, Logic Puzzles No Prep
✨ What’s Included in This Packet:📖 A Brief History of Pi⭕ Anatomy of a Circle📊 Pi Frequency Analysis🧠 Pi Day Potluck Logic Puzzle🎂 Einstein's Birthday Decoder🥢 Buffon's Needle 🍕 Price of a Pizza🧀 The Crust Conundrum📏 The Great Circle Hunt🌌 Pi in Space!✅ Complete Answer Key🛠️ Perfect For:Pi Day Celebrations (March 14th): A full day of math-themed fun! 🗓️Math Centers & Stations: Perfect for group work and hands-on experiments. 🏫Real-World Application: Shows students exactly
1st - 12th
Applied Math, Decimals, Geometry
Quadrilateral Logo Project — Classify and Prove Using Coordinates
Engage your geometry students with a creative, standards-aligned project that blends art, algebra, and reasoning! In this Quadrilateral Logo Project, students design a logo for a fictional robot company called Quadro using geometric properties. They must create and classify quadrilaterals (parallelogram, trapezoid, rectangle, rhombus, and square), include vertex coordinates, and provide mathematical justification using slope and distance formulas. This real-world, discovery-style project reinfo
8th - 12th
Geometry
Build the USA 50 States Stone Puzzle Template Montessori USA Amerika
Create a hands-on USA map puzzle using real stones! This unique resource allows children to build all 50 states while exploring geography in a creative, Montessori-inspired way. Instead of perfectly shaped pieces, children work with natural materials—making learning more meaningful, tactile, and fun. What’s Included:🪨 All 50 states as circular templates 🖥️ Editable PowerPoint file to resize each state ✂️ Easy to print, cut, and useHow to Use: Print and resize templates to fit your stones
Not Specific
Geometry, Numbers, Vocabulary
CHEMISTRY READINESS: CRYSTALS/GEOLOGY/ART/GEOMETRY: GRS.5-8 & MG
Have you ever wondered what holds atoms together? Also, just what are these fascinating and beautiful formations called crystals? Are they even in metals? Students explore the world of crystals. This can be used in lieu of an assessment. Sometimes students will absorb more on research assignment, than an exam? There are 2 answer keys included. There is a quiz, word search, word deciphering activity, and more.... For students who love art, there are many opportunities for drawing/ coloring
5th - 9th, Adult Education
Chemistry, Earth Sciences, Geometry
A new formula in 3-D geometry
Breakthrough in 3D Geometry: A Novel Formula for Spatial Point Positioning This work unveils a pioneering formula in 3D geometry capable of determining the exact position of a point in space using only the vertices of a defining plane. Going beyond conventional methods that stop at the plane’s equation, this approach directly quantifies a point’s spatial relationship—whether it lies on, above, or below the plane—with unprecedented simplicity and precision. The formula holds transformative potent
Higher Education
Applied Math, Calculus, Geometry
Geometry
Geometry: Geometry - Angles
Have you ever thought about why a “3” stands for three or
why a “4” stands for four? This activity provides an element of novelty where students gain an appreciation for research by discovering the origin of our number system.
The student will have an opportunity to:
• collect information from multiple sources
• generate research topics from personal interests
• ask open-ended research questions
clarify, evaluate, and synthesize collected information
Pl
3rd - 8th
Geometry, Math, Numbers
7.2 Economic Sectors & FRQ Case Studies: Primary, Secondary, and Quaternary Sect
Engage your AP Human Geography students with this complete case study pack designed for Topic 7.2 on Economic Sectors. This resource brings economic geography to life through three regionally diverse case studies—each paired with stimulus-based Free-Response Questions (FRQs). Students will examine how the primary, secondary, and quaternary sectors impact development, population patterns, and urban change in places like the U.S. Rust Belt, India’s tech-driven Bangalore, and the Sahel region of Af
9th - 12th
Economics , Geometry
Angles and Parallel Lines: Angle Pairs Project-Based Learning Activity
Bring geometry to life with this project-based learning activity! Students explore angle pairs formed by parallel lines using GeoGebra and create a blog-style article to showcase their learning. They’ll research real-world examples of parallel lines in architecture and design, connecting math to the world around them. Perfect for: High school geometry Hands-on, technology-integrated learning Differentiated and project-based classrooms Includes: Step-by-step instructions for students GeoGe
6th - 12th
Geometry
CCSS
HSG-CO.A.1
, HSG-GPE.B.7
Complex Commodity Chains & Intermodal Shipping – Geography & Global Trade
Unpack the intricate systems that drive global trade with this student-centered assignment exploring complex commodity chains, intermodal transportation, and containerization. This engaging and scaffolded research project challenges students to trace the journey of a real-world product from Shenzhen, China, to their hometown—connecting abstract geographic concepts to tangible everyday goods. What’s Included: 1-page informational reading on complex commodity chains 1-page explanation of inte
9th - 12th
Economics , Geometry
THE PI PROJECT: THINK OUTSIDE THE CIRCLE! Application,research & history of Pi
This activity is a 9 page project, which involves application, practice questions, research and the history of Pi. It is always interesting to teach the history of math, along with the formulas!. The ancients have contributed so much to our modern world. Use this for an assessment grade, or a unit grade, or for a project. Math is truly amazing! Who invented the integers? Who initiated pi? It is classical to teach the math in context with its history. Students appreciate math more, when t
4th - 10th
Geometry, Measurement
ASTRONOMY: UNDERSTANDING AXIALTILTS, SEASONS & TIDALLY-LOCKED GRS.5-9, & MG
This is a stem activity about the Earth's axial tilt and knowledge of the rest of the solar system. It includes tidbits about the moon, and other moons insofar as being tidally locked is concerned. It contains an intro to students, on how the axial tilt of the Earth is calculated, and a wee bit about the classical astronomer, Eratosthenes, the ancient world philosopher. Thanks ever so much for visiting and supporting our humble shop! Use this for grades 5-9, and for the gifted and talent. I
5th - 9th, Adult Education
Astronomy, Earth Sciences, Geometry
Read, Speak, Research: The Rise and Impact of Container Shipping
This literacy-integrated geography and economics activity engages students in understanding how container shipping revolutionized global trade. Students will explore the origins of standardized container shipping, trace its impact on international trade and supply chains, and then investigate a real-world product’s shipping journey from China to their hometown. The activity incorporates close reading, discussion, mapping, and research-based writing. What’s Included: Reading Passage (1-page): A d
9th - 12th
Economics , Geometry
HISTORY OF MATH PROJECT: EUCLID- Grades 4-7, MG
This project can serve as introduction to plane geometry, as well as learning a wee bit about the history of a past mathematical genius of the ancient world. Use it for a grade in mathematics. Use it in a math center. Use it for a research assignment during a computer lab period. Use it for a homework project. An answer key is provided for certain pages. Thanks ever so much for visiting.
4th - 7th
Geometry, Math
CCSS
5.G.B.3
, 5.G.B.4
Right Angle Safari: Triangle Animals Art Project
Animals are a guaranteed way to spark student engagement—yes, even with middle schoolers.In my STEAM classroom, I use this integrated art and research project to connect the Pythagorean Theorem, visual arts, scientific writing, and the rich study of natural patterns found in the NGSS standards. It offers students both voice and choice, encouraging deeper exploration and ownership of their STEAM learning journey. Have fun!
6th - 9th
Geometry, Visual Arts, Writing-Expository
CCSS, NGSS
8.G.B.6
, 8.G.B.7
, 8.G.B.8
+1
Green Revolution “REALS” Video Project
Bring the Green Revolution to life in your classroom with this dynamic and engaging short-form video project. Students will explore the historical significance of the Green Revolution through creative storytelling and role-based learning. In this “REALS” (Research, Empathy, Argument, Literacy, Synthesis) assignment, students create TikTok or Instagram-style videos from the perspective of people living through the Green Revolution. Whether portraying Norman Borlaug, a struggling farmer, or an env
9th - 12th
Geometry, World History
Geometric Solid Study
A set of 8 Geometric Solid Studies with an Answer Key After examining the model Geometric Solids, students can complete the fact sheets as a record of their investigations. Geometric Solids included: -square pyramid -square prism -cube -triangular pyramid -triangular prism -cone -sphere -cylinder I have deliberately chosen to avoid the use of watermarks, headers, footers and other intellectual property markings so as not to interfere with the visual aspect of these resources. Please do not assum
Not Specific
Geometry, Informational Text, Math
How Erastosthenes Measured the Earth: A Story
A story of geometry and geography for the elementary Montessori classroom. A great one to tell to upper elementary children when you teach the Sun & Earth chapter.
3rd - 7th
Ancient History, Geography, Geometry
ASTRONOMY & GEOMETRY: CAN YOU PICTURE THE SIZE OF THE PLANETS?
This activity asks students to research the diameter of some of the heavenly bodies in our solar system. Then, it makes comparisons. The intent of the comparisons is to help students form a picture in their mind's eye just as how large or small some of these planets are! There is a famous quote by Isaac Newton at the top of the assignment. Perhaps, some scholars will consider a career in the field of astronomy? Astronomy is truly astounding. An answer key is provided. Thanks ever so much fo
4th - 12th, Adult Education
Astronomy, Geometry
ASTRONOMY RESEARCH PROMPT: SOLID GEOMETRY OF MILKY WAY SPHERES! MG, GRS.4-8
Students explore the fact that all the planets appear to be spherical in shape. Also, the reason for the bulge at the earth's equator. Science is amazing! Thanks so much for visiting our shop.
4th - 8th
Astronomy, Geometry
Geometry in Bridges
Students will independently research both ancient and modern bridges and will analyze the bridges for different elements of geometry. Students will analyze for shapes, repetition, rotation, and translation. This activity combines history, engineering, and math!
Globs of Gifted Goodies
This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.
6th
Ancient History, Geometry
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