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Problem Solving in Mathematics

For Teachers 7th
Seventh graders discover that there are multiple strategies to be used in problem solving. They explain a problem solving situation in their own words and determine a possible strategy for solving the problem.
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How BIG is 400?

For Teachers 10th - 12th
Learners solve problems using dimensional analysis. For this chemistry lesson, students choose a problem and present it in class. The rest of the class will evaluate the solved problem on the board.
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Measuring the Diameter of Our Star

For Teachers 6th - 12th
Students conduct an experiment to measure the diameter of the sun. In this astronomy lesson,  students construct a simple equipment to collect scientific data. They calculate the sun's diameter using a given formula.
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3-D Beginning Graphs

For Teachers K - 1st
Students explore the concept of big and small. They collect objects from the classroom, sort them by size, and create a graph using Duplo stacking blocks.
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Basic Math - Plan a Cruise

For Teachers 6th - 10th
Students measure distances and report them in fractions. They convert fractions to decimals and multiply decimals.
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Arithmetic Series, Geometric Series, Partial Sums of Geometric Series

For Students 11th - 12th
In this Algebra II/Pre-calculus worksheet, students solve problems that involve arithmetic series and infinite geometric.  Students determine the partial sums of a geometric series. The three page worksheet contains forty-six...
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Spreadsheet Activity

For Teachers 7th - 8th
Students create a spreadsheet to match a given sample. This includes adjusting column width and row height, changing alignment, changing size and style of print, changing number format.
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Using Circumference

For Teachers 9th - 10th
Students participate in a lesson that covers the concept of finding the circumference of a circle. The teacher covers relevant vocabulary with the students. They work in groups to measure objects and calculate the formula to find the...
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Polygonal Strings

For Teachers 6th
Sixth graders apply knowledge of how to calculate the area and perimeter of triangles. They determine why it is inappropriate to measure the area of land by its perimeter which is done in certain areas of New Guinea. They complete a...
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Properties of Fractals

For Teachers All
Students build a working definition of regular fractal, look carefully at the concepts of dimension and scale, and are introduced to logarithms. They solve simple exponential equations for the exponent both by trial and error and using...
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Properties of Fractals

For Teachers 6th - 8th
Students build a working definition of a regular fractal, they measure the concepts of dimensions and scale, they explore the concept of a logarithm and they attempt to solve simple exponential equations for the exponent both by trial...
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Counting Pills

For Teachers 4th - 5th
Learners are introduced to the problem. They brainstorm ideas for approaching the problem and keeping track of what has been done. Students work on the problem in pairs to discover what strategies might help to find the answer.
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MT-141 Precalculus - Worksheet 6.4(b)

For Students 10th - 11th
In this precalculus worksheet, students complete horizontal shift identifies. They graph functions, solve trigonometric equations using algebra, estimation and with the use of a graphing calculator. Students find the cosine of curves. ...
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Linear Equations

For Teachers 9th
Ninth graders solve linear equations.  In this Algebra I lesson, 9th graders investigate the properties of equations (Reflexive, Symmetric, Transitive, Substitution, and Transformation Properties) and use these properties to solve...
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Forces in a Climb - Vectors

For Teachers 9th - 12th
High schoolers read Forces in a Climb from the Beginner's Guide to Propulsion, and explain each of the formulas using vectors.
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What Happens on Average

For Teachers 5th
Fifth graders are introduced to convergence of sequences based on averaging previous terms in the sequence. The power of the "fill-down" function in spreadsheets is exploited. By using various starting numbers, and inferring the limit,...
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From a Square to a Rectangle

For Teachers 8th
Eighth graders solve problems involving percentage increases and decreases. Using given percentages, 8th graders transform a square into a rectangle. They apply the area formulas for squares and rectangles.Students observe the percent...
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Exploring Geometric Constructions of Parabolas

For Teachers 6th - 8th
Students are introduced to the construction geometrically of parabolas. Using a software program, they identify lines, segments and midpoints. They label the parabolas properties and characteristics and use a formula to determine the...
Worksheet
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Speed Trails

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students conduct an experiment with toy cars in order to calculate and compare average, instantaneous, and constant speed.  The two page worksheet contains three questions.  Answers are...
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Quadratics Introduction

For Teachers 5th - 8th
Students investigate quadratic functions graphically and algebraically.
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Using Polynomials To Find Perimeter

For Teachers 5th
Fifth graders engage in the solving of a real life application problem using the concept of calculating perimeter. They apply the operations of calculating with the polynomials for finding the perimeter of triangles,quadrilaterals, and...
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Glow With the Flow

For Teachers 9th - 12th
High schoolers investigate the force of drag and how NASA engineers use models and glowing paints to examine how air flows over vehicles in a wind tunnel. They discover how the blended wing body will affect air travelers of the future.
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Commas

For Students 5th - 6th
In these comma usage worksheets, students read the sentences and add commas into the sentences. Students place the commas in the boxes within the sentence and an x if no comma is needed.
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Pythagorean Theorem Investigation

For Teachers 8th
Eighth graders investigate the Pythagorean Theorem and practice applying the theorem to various triangles. Finally, in the next lesson in the sequence, 8th graders create a song or a story to help them remember the Pythagorean Theorem.