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Lesson Plan
University of Nottingham

Modeling Conditional Probabilities: 2

For Teachers 10th - 12th Standards
Bring the concept of conditional probability alive by allowing your classes to explore different probability scenarios. Many tasks have multiple solutions that encourage students to continue exploring their problems even after a solution...
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Worksheet
College of Marin

General Addition and Multiplication Rules of Conditional Probabilities

For Students 10th - Higher Ed Standards
Making connections between multiple methods of solving problems is an important part of understanding conditional probability. The lesson shows solutions to problems using Venn diagrams, tree diagrams, formulas, and two-way tables....
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Lesson Plan
Math12

Conditional Probability

For Students 10th - 12th Standards
Conditional probability can be a confusing concept. A straightforward lesson provides reasonable examples of conditional probability, and models the most effective ways to reinforce the more complex parts of the lesson.
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Assessment
Georgia Department of Education

Analytic Geometry Study Guide

For Students 9th - 12th Standards
Are you looking for a comprehensive review that addresses the Common Core standards for geometry? This is it! Instruction and practice problems built specifically for standards are included. The material includes geometry topics from...
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Printables
Curated OER

Anticipation Guide: Similar and Congruent

For Students 6th - 8th Standards
Find out what your mathematicians know about similar and congruent figures with this anticipatory guide that includes five agree or disagree with statements.    
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Lesson Plan
EduGAINs

Discovery of Pi

For Teachers 8th Standards
Serve up a slice of math for Pi Day! A combination of fun, hands-on lessons and helpful worksheets encourage learners to practice finding the radius, diameter, and circumference of different circles.
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Workbook
Curated OER

Word Problem Practice Workbook

For Students 6th - 8th Standards
Need worksheets that challenge your middle schoolers to apply their understanding of math? Problem solved! From integers, fractions, and percents, to algebra, geometry, and probability, over 100 pages of word problem worksheets are...
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Lesson Plan
Illustrative Mathematics

Running Around a Track II

For Teachers 9th - 11th Standards
On your mark, get set, GO! The class sprints toward the conclusions in a race analysis activity. The staggered start of the 400-m foot race is taken apart in detail, and then learners step back and develop some overall race strategy and...
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Lesson Plan
Illustrative Mathematics

The Lighthouse Problem

For Teachers 9th - 11th Standards
Long considered the symbol of safe harbor and steadfast waiting, the lighthouse gets a mathematical treatment. The straightforward question of distance to the horizon is carefully presented, followed by a look into the different...
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Lesson Plan
1
1
Illustrative Mathematics

Running Around a Track I

For Teachers 7th - 11th Standards
The accuracy required by the design and measurement of an Olympic running track will surprise track stars and couch potatoes alike. Given a short introduction, the class then scaffolds into a detailed analysis of the exact nature of the...
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Lesson Plan
Illustrative Mathematics

How Thick Is a Soda Can I?

For Teachers 9th - 11th Standards
The humble soda can gets the geometric treatment in an activity that links math and science calculations. After a few basic assumptions are made and discussed, surface area calculations combine with density information to develop an...
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Lesson Plan
1
1
Illustrative Mathematics

Bank Shot

For Teachers 9th - 11th Standards
Young geometers become pool sharks in this analysis of the angles and lengths of a trick shot. By using angles of incidence and reflection to develop similar triangles, learners plan the exact placement of balls to make the shot....
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Lesson Plan
2
2
Illustrative Mathematics

Are They Similar?

For Teachers 9th - 11th Standards
Learners separate things that just appear similar from those that are actually similar. A diagram of triangles is given, and then a variety of geometric characteristics changed and the similarity of the triangles analyzed. Because the...
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Lesson Plan
1
1
Illustrative Mathematics

Toilet Roll

For Teachers 9th - 11th Standards
Potty humor is always a big hit with the school-age crowd, and potty algebra takes this topic to a whole new level. Here the class develops a model that connects the dimensions (radii, paper thickness, and length of paper) of a common...
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Lesson Plan
Illustrative Mathematics

How Many Cells Are in the Human Body?

For Teachers 9th - 11th Standards
Investigating the large numbers of science is the task in a simple but deep activity. Given a one-sentence problem set-up and some basic assumptions, the class sets off on an open-ended investigation that really gives some context to all...
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Lesson Plan
Illustrative Mathematics

Seven Circles III

For Teachers 9th - 11th Standards
A basic set-up leads to a surprisingly complex analysis in this variation on the question of surrounding a central circle with a ring of touching circles. Useful for putting trigonometric functions in a physical context, as well as...
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Lesson Plan
Illustrative Mathematics

Joining Two Midpoints of Sides of a Triangle

For Teachers 9th - 11th Standards
Without ever using the actual term, this exercise has the learner develop the key properties of the midsegment of a triangle. This task leads the class to discover a proof of similar triangles using the properties of parallel lines cut...
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Lesson Plan
1
1
Illustrative Mathematics

Similar Triangles

For Teachers 9th - 11th Standards
Proving triangles are similar is often an exercise in applying one of the many theorems young geometers memorize, like the AA similarity criteria. But proving that the criteria themselves are valid from basic principles is a great...
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Lesson Plan
2
2
Illustrative Mathematics

Shortest Line Segment from a Point P to a Line L

For Teachers 9th - 11th Standards
One of the hardest skills for many young geometers to grasp is to move beyond just declaring obvious things true, and really returning to fundamental principles for proof. This brief exercise stretches those proving muscles as the class...
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Activity
Illustrative Mathematics

Coins in a Circular Pattern

For Teachers 9th - 11th Standards
What starts as a basic question of division and remainders quickly turns abstract in this question of related ratios and radii. The class works to surround a central coin with coins of the same and different values, then develops a...
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Lesson Plan
Illustrative Mathematics

How Thick Is a Soda Can II?

For Teachers 9th - 12th Standards
Science, technology, and math come together in this one combination exercise. Analyzing the common soda can from both a purely mathematical perspective and a scientific angle allows for a surprisingly sophisticated comparison of...
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Lesson Plan
Illustrative Mathematics

Extensions, Bisections and Dissections in a Rectangle

For Teachers 9th - 11th Standards
Gaining practice in translating a verbal description into a diagram and then an equation is the real point of this similar triangles exercise. Once the diagram is drawn, multiple methods are provided to reach the conclusion. An effective...
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Lesson Plan
1
1
Illustrative Mathematics

Eratosthenes and the Circumference of the Earth

For Teachers 9th - 12th Standards
The class gets to practice being a mathematician in ancient Greece, performing geometric application problems in the way of Eratosthenes. After following the steps of the great mathematicians, they then compare the (surprisingly...
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Lesson Plan
2
2
Illustrative Mathematics

Tilt of Earth's Axis and the Four Seasons

For Teachers 9th - 11th Standards
Geometry meets earth science as high schoolers investigate the cause and features of the four seasons. The effects of Earth's axis tilt features prominently, along with both the rotation of the earth about the axis and its orbit about...