Pennsylvania Department of Education
Length and Perimeter
Third graders explore tessellations and the spatial concepts used in creating them. In this tessellations lesson plan, 3rd graders rotate, reflect and transform shapes to create tessellations. Students become familiar with...
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Quadratic Equations and Parabolas
Learners graph and solve quadratic equations. In this functions instructional activity, students analyze a quadratic equation using three points on a curve to define the graph of a quadratic function. They find the vertex and intercepts...
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Modeling Atoms
Students create an atomic model using a computer program. In this technology lesson, students identify the difference between radius and diameter. They create circular patterns and spheres based on certain specifications.
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King Henry Did What?
Students convert between the different metric units after reading the Fairy Tale of King Henry. They measure various candies in a baggy using the width of their index finger. They record results to the nearest index finger width on a...
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Naming Angles
In this naming angles learning exercise, 10th graders solve 12 different problems by responding to each statement defining the angles shown in each box. They name a linear pair in 3 of the problems and name a pair of supplementary angles...
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Constructing Perpendicular Bisectors
Tenth graders investigate parallel lines and the angles formed when cut by a transversal. For this geometry lesson, 10th graders construct perpendicular lines and discuss midpoint, segments and perpendicular bisectors. They relate...
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Approximation of Pi
Young scholars explore the concept of Pi. In this Pi lesson, students measure the circumference and diameter of a circle. Young scholars record the diameter and circumference measurements from their classmates. Students...
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The Surface Area of a Cylinder
Young scholars find the circumference and diameter of several circles and calculate the surface area of cylinders. In this surface area of a cylinder lesson plan, students use rectangles and lids to make several cylinders. They calculate...
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Mr. Lincoln's Hat
Bring out the inner artist with this Abraham Lincoln lesson. Elementary young scholars work on a home project creating a hat similar to Abraham Lincoln's hat. They will use geometry and measurement to create the scale of the hat, then...
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Special Angles on Parallel Lines
Tenth graders investigate parallel lines and their special angles cut by a transversal. In this geometry lesson plan, 10th graders identify and find corresponding, alternate interior, and alternate exterior angles formed when parallel...
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Tessellating Ceiling Tiles
Students transform polygons. In this tessellating lesson, students design a picture containing a translation and a rotation. They create a template of a translation or a rotation. Students tessellate and decorate a...
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Inequalities and Measures of Central Tendency
In this inequality and measures of central tendency worksheet, students solve and graph linear inequalities. They organize given data to identify the mean, mode and range. Students interpret box-and-whisker plots. This three-page...
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Exploring Characteristics Needed to Prove Two Trianlges Congruent
Tenth graders explore congruent triangles. In this geometry lesson, 10th graders investigate the conditions necessary to prove two triangles congruent. The lesson combines dry erase board activities and the use of technology.
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Precalculus Exam
In this precalc lesson, learners write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.
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The Tale of Scale
Eighth graders, using a range of data, produce three bar graphs for various scales along the y-axis.
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Tessellmaniacs
Seventh graders create 3 original tessellation using polygons. They slide, turn, rotate and glide their designs on the computer. They print their tessellation on a T-shirt and teach the 6th graders about tessellations.
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The Area of a Circle
Eighth graders find the circumference and diameter of several lids, show the relationship of the two measurements and derive the formula for finding the area of a circle. In this area of a circle lesson plan, 8th graders find...
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Oscillations
Students construct and compare the actions of various pendulums. In this pendulum motion lesson, students build and test different types of pendulums. They conduct experiments with the length of the swing arm and apply mathematical...
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Mathematics of Doodles
Young scholars use the slope and y-intercept to graph lines. In this algebra lesson plan, students graph linear equations and apply it to solving real life problems.
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Usage and Interpretation of Graphs
Students review graphing and use processing skills to solve problems.
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Charting Weight
Sixth graders record the weight of themselves and 3 family over a week, and then use that data to compile 2 bar graphs and 4 line graphs and answer a series of questions.
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Lagoon Lake
Students develop skill in using co-ordinates. Up to eight cardinal points of the compass are used making this a useful activity in simple map and grid work. They utilize educational software to gain practice.
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Hyperbolas
Students locate and identify the center, foci, vertices, and asymptotes fo hyperbolas. They graph equations involving asymptotes and hyperbolas. Finally, students determine the equation of a hyperbola with a horizontal transverse axis.
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Designing Detectives
Third graders explore the idea of formulating a hypothesis and designing an experiment to test the hypothesis.