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Lesson Plan
EngageNY

Decimal Expansion of Pi

For Students 8th Standards
Develop a better understanding of the value of pi. Learners explore the area of a circle using estimation and graph paper. While continuing to estimate the area of the circle using smaller and smaller grids, the number pi emerges. 
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Activity
Didax

Pi Day #1a – Discovering Pi

For Students 6th - 10th Standards
Unravel the mystery behind the infamous number pi. Scholars complete a series of activities that explores where pi comes from, its digits and estimation strategies. Pupils should be ready to measure, calculate, and look for patterns to...
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Lesson Plan
Curated OER

Geometry, Pi, and Ancient Civilizations

For Teachers 8th - 9th
By working together, pairs of learners will complete a Pi webquest. Using the internet, they examine the ways people in the Ancient Civilizations of Egypt, Babylonia and Greece used Pi. To end the lesson, they review the concepts of...
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Activity
Curated OER

Pi Day: The Other Math Holiday!

For Teachers 9th - 12th Standards
Happy Pi Day! This collection of games, experiments, and activities leads participants through an exploration of the many aspects and attributes of that mysterious quantity, pi. Activities range from using statistical experimentation to...
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Lesson Plan
Curated OER

A Slice of Pi

For Teachers 7th - 9th
Math pupils, by viewing a video, discover the history of pi and some of the applications of its uses in the world today. They conduct an experiment by measuring the diameter and circumference of various circular objects to calculate...
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Lesson Plan
Curated OER

History and the Approximations of pi

For Teachers 7th - 8th
Middle schoolers investigate Pi. For this mathematics lesson, learners discuss the history of Pi and determine how the approximation of Pi was discovered.
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Lesson Plan
Curated OER

Approximation of Pi

For Teachers 9th - 12th
Young scholars explore the concept of Pi.  In this Pi lesson, students measure the circumference and diameter of a circle.  Young scholars record the diameter and circumference measurements from their classmates.  Students enter the data...
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Worksheet
Curated OER

Estimating Pi as a Length

For Students Higher Ed
In this pi learning exercise, students evaluate the curve of a quarter of a circle. They analyze the length of the curve, and explain that if the area under the curve is equal to pi, the length of the curve above is also equal to pi....
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Lesson Plan
Curated OER

Search for the Missing Pi

For Teachers 3rd
Third graders work in groups of two to three with measuring tapes, finding the circumference and diameter of teacher-selected circular items. They relate circumference and diameter measurements to find pi.
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Lesson Plan
Curated OER

Understanding Pi.

For Teachers 8th - 9th
Students study the relationship between circumference and diameter to come up with Pi. "In this pi lesson, students measure, record and find the ratio "circumference/diameter" and their average which is an approximation of pi.
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Lesson Plan
Curated OER

Approximating Pi

For Teachers 7th - 10th
Students approximate Pi using the lower and upper bound for the constant. In this algebra instructional activity, students work in groups of two to graph a circle and approximate Pi using the circumference. They repeat their estimation...
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Worksheet
Curated OER

Estimation Quiz: Use a Table

For Students 5th - 6th
In this estimation worksheet, students use information about planets, given in a table, to complete a 16 question quiz. Answers are included on page 2. A reference web site is given for additional activities.
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Interactive
Shodor Education Foundation

Buffon's Needle

For Students 7th - 12th Standards
Find the needle on a lined paper. Pupils run a simulation of dropping a needle on a lined paper. The probability of the needle crossing at least one line is pi/2. After each trial, the interactive displays the approximation of pi based...
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Handout
Charleston School District

Comparing and Ordering Irrational Numbers on a Number Line

For Students 8th - 9th Standards
Estimating the value of numbers is much harder than it sounds! Scholars compare and order the value of numbers presented in different forms including fractions, decimals, roots, integers, and pi. This builds on the previous lessons in...
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Instructional Video3:29
PBS

Scale City — Scaling up Recipes and Circles in the Real World

For Students 6th - 7th Standards
What a great big skillet you have. The resource introduces the class to the world's largest stainless steel skillet. The class creates a model of the skillet and a typical 12-inch skillet and compares the relative sizes of their areas....
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Lesson Plan
Curated OER

Estimation

For Teachers 3rd
Third graders gain an understanding of estimation as an educated guess. They explore measuring and how looking at various object size and shape can help form ones guess towards estimation. They use dinosaurs for an estimation activity.
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Lesson Plan
Curated OER

"Slice of Pi with Neo-Excel"

For Teachers 6th - 8th
Students explore diameter, radius, and circumference. They define radius, diameter, and circumference on an online dictionary, identify objects in the room with a radius and a diameter, and calculate the radius and diameter of various...
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Lesson Plan
Illustrative Mathematics

Irrational Numbers on the Number Line

For Teachers 7th - 9th Standards
There are four irrational numbers that participants need to graph. Pi(π), -(½ x π), and √17 are easy to approximate with common rational numbers. On the other hand, the commentary describing the irrational number 2√2 is not clear. It...
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Lesson Plan
Curated OER

Small Angle Calculations

For Teachers 4th - 7th
Young scholars work with circles, angles and estimating angles in the night sky. In this circles and angles lesson, students practice measuring a degree using the circumference of a circle and apply the degree to determine a way to use...
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Assessment
Inside Mathematics

Rugs

For Teachers 8th Standards
The class braids irrational numbers, Pythagoras, and perimeter together. The mini-assessment requires scholars to use irrational numbers and the Pythagorean Theorem to find perimeters of rugs. The rugs are rectangular, triangular,...
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Lesson Plan
Curated OER

Radius, Diameter and Area

For Teachers 8th - 9th
Students identify the radius and diameter of a circle. In this geometry lesson, students calculate the volume and area of a cylinder and circle. They relate the circumference of a circle to Pi.
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Worksheet
Curated OER

Irrational Numbers

For Students 9th
In this irrational numbers worksheet, 9th graders solve 10 different problems that include determining the approximations of various irrational numbers. First, they solve each irrational number in the first set to the nearest tenth....
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Worksheet
Curated OER

Twelve Facts About e

For Students 11th - Higher Ed
For this e worksheet, students are presented with several facts about e and Euler.  Students are also given a technique to help them remember the numerical approximation for e.
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Worksheet
Curated OER

Math 155 - Fall 2005 Differentiation

For Students Higher Ed
For this differentiation worksheet, students find an equation of a line tangent to a curve. They use linear approximation to estimate answers. This two-page worksheet contains approximately 12 multi-step problems.

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