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Pennsylvania Department of Education
Equally Likely and Unequally Likely Outcomes
Students explore probability. In this statistics/probability lesson, students compare experimental and theoretical probability and use experimental probability to make predictions and conjectures. Students explore the...
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Logarithmic Functions as Inverses
In this algebra worksheet, students solve logarithmic functions. They graph their solution using log properties. There are 6 questions.
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Volume & Candy Creations Model
Sixth graders investigate surface area. In this surface area lesson, 6th graders design a box of candy that has a volume of 30 cubic inches. Students are trying to minimize surface area while keeping volume constant. ...
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Exploration of Scale Models
Students consider the concept of scale models. In this scale lesson, students compare the sizes of various every day toys to the sizes of the larger objects they represent.
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Collecting the Rays
Young scholars investigate the affect shape has on the ability of a solar panel to collect sunlight. In this collecting sunlight using a solar panel lesson, students determine which solar panel shape collects the most...
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Identify Cones
Third graders evaluate the attributes of cones. In this space shapes lesson, 3rd graders analyze three-dimensional shapes. Students explore the faces and edges of a cone.
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Classify Prisms
Students classify prisms according to their attributes. In this classifying prisms lesson, students explore different prisms. Students generate observations of the attributes and classify the prism correctly.
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Ship Shape
Second graders explore shapes. After reading books about shapes, 2nd graders describe the properties of various shapes. They identify shapes if they have been rotated, flipped, or slid. Students create shapes using drawings and geoboards.
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Volume Of A Prism
Eighth graders investigate the concept of a prism and finding the volume. They begin the inquiry by attempting to find the surface area in order to begin the inquiry. Students are expected to apply memory for the mathematical formulas in...
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Geometry: Calculating Volumes
In this volume worksheet, students find the volume of 8 prisms. Students are given the length, width, and height of each prism.
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Look at Those Leaves!
Students research tree leaves. In this tree leaves lesson, students observe, measure, and sort tree leaves. Students examine leaves individually, in groups, and in relationship to the entire tree.
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3-D Figures Part 2
Students work with three dimensional objects. In this geometry activity, students examine models of spheres, cones, cubes, prisms, and pyramids, and identify them by their edges, vertices, and faces.
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The X-33 and the X-38
Students explore the relationships among the lengths, areas, and volumes of similar solids. They also discover what effect doubling the dimensions of a figure has on the resulting area.
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Sampling Rocks
Students will collect and analyze a sample of rocks from the schoolyard. They will array the collected rocks by characteristics such as size, weight, and color, to see if any generalizations can be made about the types of rocks that can...
Fuel the Brain
Brain Boosters - Telling Time
Using images of two clocks, youngsters determine what number is missing from the clock and estimate what time it is.
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Penny's Box
Students need to be able to calculate the volume and surface area of a cuboid as well as present a systematic list of results in order to justify the minimum case. The use of three factors of 100 is also important.
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Estimating the Live Mass of Dinosaurs
High schoolers calculate the volume of scale model dinosaurs using a water displacement method. They use formulas to calculate the live mass each of the species of dinosaur. Then they complete and discuss a series of questions.
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The Folding Problem
Ninth graders experiment with paper folding to create geometrical shapes. Students analyze the Copymaster of the problem. After the students have worked on their own for a while, stop them and discuss.
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Tiling the Plane
Young scholars use pattern blocks and triangular grid paper to review shape names, be introduced to the concept of a tiling of the plane, and determine which pattern blocks tile the plane. They are asked: "Have you ever seen a floor or...
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Analyzing 3-D Shapes and 2-D Representations
Students can analyze 3-D objects better with actual physical models and by also drawing 2-D representations of them.
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Creating 3-D Shapes in Art
By learning techniques for drawing 3-D shapes, students can create realistic drawings.
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Do Different Colors Absorb Heat Better?
Students work together to test how the color of a material affects how much heat it absorbs. They make predictions and take notes on their observations. They discover how engineers use this type of information.
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Ramps 2: Ramp Builder
Learners plan, build, and test a ramp that allows objects to roll far. After each group has tested out their ramps, allow them to test their design against the record previously established by the prototype ramp.