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Minimum and Maximum Perimeter
Pupils practice a variety of strategies with varying numbers of tiles to form shapes and then find the minimum and maximum perimeter for each one. Each group is assigned a different area to build either with square tiles or a geoboard....
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The Pythagorean Theorem
Students create both a visual and formal proof of the Pythagorean theorem, as well as view four additional geometric demonstrations of the theorem. They construct a square and conjecture the following theorem: The sum of the areas of...
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Volume
Students, after reviewing the measuring of the lengths of sides of different shapes along with the calculation of their perimeters and areas, encounter what it means by the 'perimeter' of a polygon. They practice measuring units of...
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Counting Galaxies with the Hubble Space Telescope
In this counting galaxies worksheet, students use a photograph taken by the Hubble Space Telescope and they divide the field into 16 square areas. They find the average number of galaxies in the cells, they find the area of one of the...
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Inequalities
In this inequalities learning exercise, 10th graders solve and complete 23 various types of problems. First, they find the area of an inscribed square in a circle shown. Then, students find the total area of the inscribed polygon and...
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Similarity
Students find the factor of proportionality in similar polygons. In this similarity of polygons lesson plan, students measure the sides and angles of polygons and derive a factor of proportionality between corresponding pairs of sides...
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Counting Craters on the Hubble Space Telescope!
In this Hubble Space Telescope worksheet, students are given a photograph of the radiator recovered after being in space on the Hubble Space Telescope since 1993. Students solve 6 problems about the impacts that left craters on the...
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Phenomenological Pizza
Young scholars explore measurement in terms of pizza toppings. For this math lesson plan, students draw a circle using string and a ruler, determine areas of different size circles, find how many two topping pizzas can be made using 14...
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The Determinant of a Matrix
Learners calculate the determinant. In this algebra lesson, students find the determinant and use to calculate the area of a triangle. They calculate the area of a quadrilateral in a plane.
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Geometric Figures
In this geometric figures worksheet, 10th graders solve and complete 18 different types of problems that include various figures. First, they find the area of the figures shown if consecutive sides are perpendicular. Then, students find...
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Factoring Trinomials
Students factor trinomials and other quadratic functions. In this algebra instructional activity, students solve trinomials containing negative and positive coefficients. They factor quadratics of difference squares as well as regular...
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Where Will The Couch Fit?
Young scholars name the area formula and describe how it works. They use area formula to calculate the surface area of various objects. They use the area formula to design a floor plan of an apartment.
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Geometric Word Problems
In this geometric figures learning exercise, 10th graders solve and complete 11 different word problems. First, they find the area of a regular octagon with a given side. Then, students find the area of each shaded region. They also find...
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Solve Word Problems with Geometry
In this geometry worksheet, students solve word problems having to do with lines, angles, shapes, area, perimeter, and more. Students complete 57 problems total.
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HD TV Problem
In this algebra worksheet, students calculate the viewing area of each TV. They calculate the horizontal and vertical lengths. There is an answer key with this word problem.
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Effects of Changing Dimensions Proportionally
In this geometry worksheet, 10th graders examine the effect of changing the dimensions of a figure proportionally on the perimeter, circumference, and area. The one page worksheet contains six problems. Answers are...
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Graphs of Formulas
In this worksheet students fill out a function table after reading a short word problem. This is a good way for students to practice the necessary skills for solving word problems or setting up algebra equations.
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Count and Trace the Shapes
In this counting and tracing shapes worksheet, students trace 13 shapes with specific colors. Students count how many ovals, rectangles, triangles, squares and circles there are and put their totals on the lines provided. A very good...
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Building Shapes From Numbers
Students experience how to illustrate some of the many connections between number and geometry. Through this 2-3 day focus on square numbers and triangular numbers, students make connections among mathematical topics.
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Grade 3: What Can I Make with 30 Centimeters?
Third graders create polygons with perimeters of 30 centimeters, use the centimeter grid paper to determine the area of each shape, and organize the shapes to make generalizations from the patterns they see.
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Kepler-The Hunt for Earth-like Planets
In this hunt for planets worksheet, students read about the Kepler satellite used to detect exoplanets. Students solve 6 problems including drawing a sun disk and determining the scale in kilometers/millimeter, finding the area of the...
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NASA Satellite 'Sees' Carbon Dioxide
In this atmospheric carbon dioxide worksheet, students observe a map showing the concentrations of atmospheric carbon dioxide taken by the Atmospheric Infrared Sounder instrument. Students solve 4 problems using the map. They determine...
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How Many Stars are in the Sky?
In this star count worksheet, students solve three problems using a given polynomial and its logarithm to determine the number of stars in a given area.
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Sum of Infinite Geometric Series
Your mathematicians solve problems using geometric series in this pre-calculus lesson. They divide a unit square into very small pieces and identify the reasoning behind the sum of a series being less than one.
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