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System of Two Quadratic Inequalities

For Teachers 10th - 12th
Students set up and solve a system of quadratic inequalities related to real-world situations.
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Physics: Eigenvalues

For Teachers 6th - 12th
Students solve problems by discovering the eigenvalues that satisfy design questions. They explain how relaxing a small angle approximation can change the solution. Students apply the numerical model of pendulumm motion to solve the...
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Lots of Squares

For Teachers 2nd - 4th
Students work in pairs, to make a square on the geoboards with a rubber band (or draw one on the dot paper). It can be any size and in any location and share their answers with the class.
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More No-Three-In-A-Line

For Teachers 4th
Fourth graders read Mary's problem and make sure that they examine it. After some discussion, let the class work on the problem in their groups. They then take turns in putting a picture of their arrangement on the board.
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Noughts

For Teachers 6th - 11th
Students try to figure out the strategies to the game Noughts. Students logic must play a part in the process of the game. Students apply the symmetries of regular polygons. Students devise ways to critically follow a chain of reasoning.
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The Tiled Courtyard

For Teachers 5th
Fifth graders use the guess and check technique to solve a problem involving transformations. They work with a grid and criteria provided by the teacher to solve a sequence with black and white rows.
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Modeling With Circular Functions

For Teachers 9th - 12th
Learners explore circular functions. They identify the amplitude, period, phase shift and vertical shift of circular functions. Students analyze phenomena described by sine waves and they find mathematical models for transforming images...
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Inventors Timelines

For Teachers 3rd - 5th
Students create a class timeline using the patent year for their selected inventor or invention. Using a piece of yarn, they physically create a timeline, and create and answer math word problems using the years from the timeline.
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Battery Depletion and Piecewise Linear Graphing

For Teachers 9th - 10th
Students examine a recent flight of Pathfinder. In groups, they use the information to create a table of values showing the battery charge of the space machine. They predict what the charge would be further on in the mission. They use...
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Systems of Linear Inequalities in Slope-Intercept Form -- Lecture

For Teachers 6th - 8th
Students are introduced to linear inequalities in slope-intercept form. As a class, they participate when needed in a demonstration given by their teacher and practice graphing inequalities and describing the solution. They set up and...
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Symmetry In Nature

For Teachers 6th - 12th
Students investigate the symmetry that is found in nature. They view shapes and patterns in nature while looking at images. Students look for tessellations while obtaining photographs with a digital camera. The information is used for...
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Lesson Plan On Fran Data

For Teachers 7th
Seventh graders investigate the concept of functions and how they are used in the context of the real world while identifying the dependent and independent variables. They graph relations and functions and find the zeros of functions....
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Introduction To Data Analysis

For Teachers 7th
Seventh graders investigate the concept of looking at the data put in a variety of ways that could include graphs or data sets. They analyze data critically in order to formulate some sound conclusions based on real data. Students graph...
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The Box Problem

For Teachers 9th - 12th
High schoolers investigate the concept of functions and how they are used with polynomials. They practice finding the zeros of functions and graph polynomial functions for the help of giving solutions. Students interpret the curve of a...
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"ty" number

For Teachers 2nd
Second graders encounter the need to assess the code in English for tens is that the word ends in "-ty." They explore the meaning of two or three digit whole numbers to realize that the meaning of words like sixty can be decoded by...
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Standard Conic Section

For Students Pre-K - Higher Ed
In this precalculus worksheet, students put the equations in standard form and solve the problems focusing upon finding the conic sections for the two questions.
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Venn Diagrams & Word Problems

For Teachers 7th - 8th
Students explore the concept of Venn Diagrams through word problems. In this Venn Diagram lesson, students solve word problems about groups of people using Venn Diagrams. Students use survey results about MySpace and Facebook in a Venn...
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The Reciprocal Function Family

For Students 11th
In this Algebra II instructional activity, 11th graders examine the reciprocal function family in the form y = a/(x – h) + k, identifying the vertical and horizontal asymptotes.  The two page instructional activity contains...
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Cracks on the Walls

For Teachers 9th - 12th
Students observe the cracks in school walls and pavements. In this geometry lesson, students explore the factors to be considered before building a structure. They complete a graphing and calculation worksheet after the lesson.
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Counting Polar Animals: 1-3

For Students Pre-K - K
In this counting worksheet, students count polar animals, writing their count on lines beside each. Page uses numbers 1-3 only; a reference website is included for additional resources.
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Looking into Eratosthenes' Radius of the Earth

For Teachers 9th - 12th
High schoolers, in small groups, research Eratosthenes and his calculations of the Earth's radius. They write a summary of the person, the experiments and his calculations to determine how accurate Eratosthenes was in his estimations of...
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Exploring Functions with Calculus and Dynamic Software

For Teachers 11th - Higher Ed
Calculus can be project-based and inquiry-centered by using dynamic software.
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Angling Your Way Through a Picture

For Teachers 5th - 7th
Students look at the geometry in an artwork. In this art history/geometry lesson, students research the artist Charles Sheeler and look at his painting Stacks in Celebration. They find the different types of lines, angles, and...
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Applying Trigonometric Functions To Real Life

For Teachers 9th - 11th
Students examine where trigonometry exists outside the classroom. In this trigonometry lesson, students create trigonometric functions to match the data provided and to solve word problems relating to the real world.

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