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Ara of Circles
Pupils identify the differentiate the different properties of circles and parallelograms. In this geometry lesson, students calculate the area of each solid and identify the formula. They relate Pi to the circumference of a circle.
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Pythagoras' Theorem
In this Pythagorean Theorem worksheet, students use the Pythagorean Theorem to determine the length of a missing side. They calculate surface area of a prism. This two-page worksheet contains 4 multi-step problems.
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Probability of an Event Occurring
In this probability instructional activity, students calculate the chance of an event occurring. They solve word problems using probability. There are 3 questions with an answer key.
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Play Dough Day
Twelfth graders build a model of the following figures with the base from column I and the cross-section from column II. Draw the base with labeled axes on the graph paper and construct the figure on top of the base with the play dough...
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Storefront Signs
Learners practice finding the areas and patterns within a square and explore the concept of quadratic functions. They observe and record the area values in a table, plot a graph of Area versus Distance and complete a variety of student...
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Lesson Exchange: Polygons (Middle, Mathematics)
Students discover the relationship between the sides of a polygon and the number of diagonals that can be drawn from one vertex, the number of triangles that those diagonals form, and the sum of the interior angles of that polygon.
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Pyramids- Slant Height and Altitude
Students calculate the height and altitude of a pyramid. In this geometry instructional activity, students define the parts that make up a pyramid. They use the Pythagorean Theorem to find the missing parts of a pyramid.
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This Building is Tall
Young scholars calculate the perimeter of shapes. In this geometry lesson, students relate properties of polygons to the real world. They find length, midpoint and slope.
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Measurement Investigations 1
Fifth graders find perimeters, areas, and volumes of everyday objects and state the precision. They work in small groups in order to take measurements, perform calculations, and write a group report about the investigation.
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Cut, Construct and Think - 6
Students identify polygons and calculate perimeter. In this geometric shapes lesson, students complete a worksheet identifying various polygons and calculating the perimeter of triangles and quadrilaterals.
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Cut It Out
Sixth graders derive an original formula for calculating the area of an irregular figure.
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Displacement Problem Set
Students calculate the length of a side of a triangle using a trigonometric function. They calculate the measure of an angle given two sides of a triangle with a trigonometric function.
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Measurement: Lesson 2
Eighth graders complete math problems given in this lesson, where they find the perimeter and area of specific figures. They estimate the perimeter and area of shapes and figures and then complete the mathematical formula to find the...
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The Trig to Soccer
Students analyze angles applied to a penalty kick in a soccer game. Based on dimensions of the goal, and the penalty area, students determine where the better chance of scoring lies.
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The Chicken Run
Fourth graders work in a group of 4 to make rectangle with a 12m length of string. They discuss its perimeter and how they would calculate its area. Then another group of 4 make another rectangle and estimate if the area would be greater...
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ndirect Measurement Technique: Using Trigonometric Ratios
Ninth graders find the height of an object that would be difficult or impossible to measure directly. They construct and use a Clinometer to measure the angle of elevation (or depression). Students create a sketch of the measurement...
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Plain Figures And Measuring Figures
Seventh graders investigate the mathematical concept of a sector. They apply the concept to an example problem and then move into a more complex application. They find the area of the side of a cone. This is done as students calculate...
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Pythagorean Theorem Investigation
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.
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Pythagorean Triples
Middle schoolers investigate the mathematical concepts related to the study of The Pythagorean Theorem. They graph and review how to use a line segment to construct a triangle. Then using the theorem students calculate the length of the...
Pennsylvania Department of Education
Seeing Doubles
Young scholars work with dominoes to recognize the number of spots on each side as they relate to addition facts. In this seeing doubles lesson, students make triangle shaped flash cards for the double facts. Young scholars represent the...
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Lab for Truss Design and Testing
Learners design and build their own truss. For this physics lesson, students calculate the forces and maximum load. They complete a full scale diagram of their design.
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Tangram Perimeters
Students work together to make figures out of tangram squares. In groups, they calculate the measurements they need and apply the Pythagorean Theorem. They complete a worksheet solving equations using the theorem and review their answers.
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What a Square
Students examine the painting "Old Man With A Gold Chain" by Rembrandt. They identify geometric shapes in the painting, measure these shapes and compare the relationships of these measurements.
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Pythagorean Theorem by Graphic Manipulation
There are many different ways to show a proof of the Pythagorean Theorem. Here is a nice hands-on paper cutting activity that shows a graphic representation. You can even challenge your young Pythagoreans to come up with their own...