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Triangles in Architecture
Students find triangles in the real world. In this geometry lesson, students analyze and identify properties of two and three-dimensional objects. They differentiate between similarity and congruence.
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The Box Problem
Young scholars create graphic, algebraic and verbal ideas of functions. In this algebra lesson, students graph functions and identify the zeros of the functions. They find the domain and range and classify functions as relation or not.
Pennsylvania Department of Education
Fractions and Ribbons
Fifth graders solve division problems using partial quotients. For this long division lesson, 5th graders practice seeing division as a process of repeated subtraction and estimation. This lesson provides a script for the teacher.
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Geometry: Area Project
Sixth graders identify and use area formulas for finding the area of geometric shapes.
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Estimation
Students estimate quantity, length, and area. Students practice making comparison estimations of different items and estimate whether or not the amount is greater or less than a certain amount. Students practice making estimations.
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Surveying: 19 Chains and 50 Links
Through an interdisciplinary lesson, emerging engineers explore the history of surveying systems. After discussing various systems, they perform surveys on printable pages. Using their geometric skills, they physically stake out plots...
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Drawing Triangles
In this drawing triangles worksheet, 6th graders read the dimensions of four triangles, given the length or the angle, identify the type of triangle and draw it.
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Strength in Size? Madagascar Cockroach Pulls
Fourth graders conduct an experiment involving size and relative ability in smaller species using Madagascar cockroaches. They make predictions about how many pennies the roaches can pull, compare the results to human strength, and...
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Revolving Shapes Around an Axis
Students design a wheel that could be used on a CO2 car. In this engineering instructional activity, students investigate cylinders and volume as they perform rotation around an axis. They create patterns using circular turns about an axis.
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Where In the World Are We?
Fifth graders read postcards and find their locations on maps. They use the pictures and text on the postcards to write about imaginary vacations. They compute the mileage and compare it to TripMaker data.
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Cuisenaire Chefs
Students study the fractional values of Cuisenaire rods while working with favorite family recipes.
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The Proof
Students will construct simple curves on graph paper by connecting a series of points between the vertical and horizontal axes. They share their designs and explain the patterns.
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Area of Complex Figures
Fifth graders use formulas for calculating areas of squares and rectangles to find area of complex figure, compare their own ideas with their classmates' ideas, and recognize that there are multiple methods for finding area of complex...
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Investigating Nets and Polyhedra
Fifth graders create a net for a given polyhedron. They determine the corresponding polyhedron for a given net. Students investigate several polyhedra (cube, tetrahedron, and one of their choosing) and their corresponding nets. They...
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The BUDGET Truck Problem
In this secondary mathematics worksheet, students solve a problem which involves how far behind a rental truck must the driver of a car be so that he can see a stoplight from behind the truck. The problem can be solved with similar...
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The Baby Gate Problem
In this secondary mathematics worksheet, students expand a six-panel play yard by two-panels Students determine the width of each panel and the area of the expansion. The one page worksheet contains one problem with the solution.
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Differentials
Students investigate Differential equations using derivatives. In this calculus lesson, students solve problems of differential equations by taking the derivative and explaining the changes that occurred in the equation and circle. They...
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Scientific Notation
For this algebra worksheet, students identify the correct method to write positive and negative exponents. They solve word problems and write in scientific notation. There are 21 questions with an answer key.
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Friction This
Students investigate road surface and calculate speed. In this algebra lesson, students analyze the roughness of a road and calculate distance and speed based on friction. They relate friction and energy to speed.
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Hands On: Explore Perimeter
In this perimeter word problems worksheet, students enhance their understanding of perimeter by solve the six word problems.
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Estimating Area
Fifth graders, after being given a variety of word problems to solve, find patterns to solving 3 out of 4 times. They break it down into smaller parts 3 out of 4 times and tell the method of solving 3 out of 4 times. Students complete...
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Why Study Fractals?
Young scholars explore the concept of fractals. In this fractals lesson, students use the website to research where fractals occur in nature. Young scholars research what fractals are and how fractals are used to solve real world...
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Adding and Subtracting Fractions with Like Denominators
Students add or subtract fraction parts of mixed numbers before adding or subtracting the whole number parts. For this fractions lesson, students learn to use a ruler to help them add and subtract fractions with like denominators.
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Viewing Tubes
Students complete a lab in order to discover if the length of a viewing tube, its diameter, or the distance from an object affect the type of data collected and the resulting graph.