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Introduction to Mathematical Modeling

For Students Higher Ed
In this mathematical modeling worksheet, students answer two essay questions. They describe Newton's Law of Cooling by describing and constructing a model and answering seven essay questions about the process.
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Order of Operations

For Teachers 9th
Ninth graders investigate the order of operations.  In this Algebra I lesson plan, 9th graders explore the rules of arithmetic and algebra as they review and practice simplifying increasingly complex numeric expressions using the...
Lesson Plan
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Mine Shaft Grade 8 Slope

For Teachers 8th
Eighth graders investigate slopes using real life scenario. In this algebra lesson, 8th graders model and interpret real life data. They plot their data in a coordinate plane and discuss the results with the class.
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Sizing Up the Supersize Croc

For Teachers 6th - 8th
Students examine and compare traits of humans and crocodiles.  In this crocodile lesson plan students use a ratio to estimate the height of a person and compare that to a crocodile. 
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How Fast Is Your Car?

For Teachers 8th
Eighth graders discover the relationship between speed, distance, and time. They calculate speed and represent their data graphically. They, in groups, design a ramp for their matchbox car. The goal is to see who's ramp produces the...
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Is Over Of

For Teachers 6th - 8th
Students solve problems dealing with percents using "is over of" algorithm.
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Angles and Similarity

For Teachers 9th - 12th Standards
Students identify triangles as similar or congruent. In this geometry lesson, students drag triangles around on the navigator to see the effect of different angles on the shape of the triangle. They discuss angle similarity and angle...
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Conversions: Metrics Made Easy

For Teachers 7th - 8th
Students, in groups, measure and record each other's height. They identify measurement conversion methods and use online resources to convert measured heights to multiple systems.
Lesson Plan
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The Spread of Disease with Differential Equations

For Teachers 12th
Twelfth graders solve problems using differential equations.  In this Calculus lesson, 12th graders analyze data regarding the spread of a flu virus.  Students use the symbolic capacity of the TI-89 to develop a model and...
Lesson Plan
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Expressive Papier-Mache Masks

For Teachers 6th - 8th
Middle schoolers create papier-mache masks showing different human emotions. In this mask lesson plan, students choose what facial expression they want and sketch out their mask and background. They form the "face" in clay and then...
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It's Rainin', It's Pouring

For Teachers 2nd - 4th
Learners take a quick examine part of the water cycle, and the combined gas laws. The lesson plan lead them through the conditions necessary for cloud formation and allow them to create clouds in three different hands-on activities.
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Clipbirds

For Teachers 6th - 12th
Students attempt to pick up various objects with a wide variety of beaks, including scissors, spoons, etc.
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The Energy Debate - Stoichiometry

For Teachers 9th - 12th
Learners determine crude oil can be separated into useful fractions by a process of fractional distillation. They write a balanced equation for the reaction between a hydrocarbon and oxygen.
Lesson Plan
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Using Cabri Geometry to Create Fractals

For Teachers 9th - 12th Standards
Learners construct the Sierpinski Triangle using Cabri Jr. They use a step-by-step guide to construct the Sierpinski Triangle on their graphing calculator and then discuss the formula for constructing a nth stage Sierpinski Triangle.
Lesson Plan
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Conics in Geometry

For Teachers 9th - 12th Standards
High schoolers analyze characteristics and properties of two and three-dimensional shapes in this geometry lesson. They follow detailed directions to use the Cabri Geometry II Application on their TI-89 calculator to construct a...
Worksheet
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Boyle's Law and Charles's Law

For Students 10th - 12th
In this gas laws worksheet, students complete 11 fill in the blanks and problem solving questions on Boyle's and Charles's laws.
Lesson Plan
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Nested Similar Triangles

For Teachers 9th - 12th Standards
Nested triangles have been created so that they share a common vertex and vertex angle. Learners drag the endpoints of the side that is opposite the common angle to discover the conditions that make the nested triangles similar. When...
Lesson Plan
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Triangle Midsegment

For Teachers 9th - 12th Standards
Learn how to calculate the length and midsegments of triangles. High schoolers differentiate between similar and congruent triangles. They create a spreadsheet with their findings.
Lesson Plan
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Ratios of Similar Figures

For Teachers 9th - 12th Standards
High schoolers identify the ratios of different triangles. In this geometry activity, students identify the similarity and differences of triangles. They use the navigator to move the sides of the triangle around.
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Not Everything is More Expensive

For Teachers 4th - 5th
Students compare prices and determine percent increases and decreases of items in order to make wise purchases. In this percent increases and decreases lesson plan, students calculate the amounts based on grocery store ads.
Lesson Plan
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Leaf Chromatography

For Teachers 8th - 10th
In this leaf chromatography worksheet, learners separate the pigments of a leaf using paper chromatography. They answer 4 questions about their results and draw the colors they observe on their chromatogram from the leaf.
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Four-Channel Audio Mixer

For Students 12th - Higher Ed
In this electronics worksheet, students design and build a four-channel audio mixer. They complete 2 short answer questions about it.
Lesson Plan
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Our community-in sculpture form

For Teachers 7th - 8th
Students design tiles that represent their community. They discuss ideas with another class through email. They then create the tiles, fire them, and attach them to a masonite board to create a community mural.
Lesson Plan
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Similarity and Congruence

For Teachers 9th - 12th
Students determine that two figures are similar or congruent by investigating figures that are similar and figures that are congruent. They prove that two figures are similar or congruent by using definitions, postulates, and theorems.

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