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Curated OER
Pop-it...Stop-it
Students observe how certain geometric shapes can be used to make some structures rigid and others flexible. The activity involves construction of a 30-60 right triangle, folding while following directions, and identifying polygons.
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The Laws of Sines and Cosines Made Simple!
Students study the law of sine and cosine. In this pre-calculus lesson, students create a triangle and identify the different ratios of a non-right triangle. They use the properties of sine and cosine to solve.
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The Trapping of Trapezoids
This is a nice hands-on activity where young geometers create trapezoids and calculate their area by looking at areas of quadrilaterals and triangles.
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Learning by Logic - Total Surface Area
Geometers calculate the area of plane surfaces using the formulas for the area of a square, rectangle, and triangle. They develop the formula for calculating the total surface area of two geometric solids: the cube and rectangular prism.
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The Right Stuff
Studentsare introduced to the Pythagorean Theorem by exploring right triangles and the squares built on each side. They apply the Pythagorean Theorem to real-world problems. Students u se informal and nonformal arguments of proof (i.e.,...
Illustrative Mathematics
Is This a Parallelogram?
If both pairs of opposite sides of a quadrilateral are congruent, is the quadrilateral a parallelogram? This task asks learners to determine the answer and to support their answer with a proof. The resource includes a commentary for...
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Fractions
Young mathematicians use fraction names and symbols to describe fractional parts of whole objects or sets of objects. They construct concrete models of fractions, and compare fractional parts of whole objects in a problem situation using...
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Learning Ratios and Proportions Through Scale Drawings
Middle and high schoolers explore the concept of scale drawings. They discuss what a scale is and that scales provide a ratio. Pupils construct a scale drawing of their classroom using graph paper.
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Tangrams
Learners construct tangram pieces. Then they make observations and explore patterns with the pieces.
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Worksheet 17 - Area
In this area worksheet students read story problems, determine the necessary information to solve the problem. They find the amount of material needed to construct three-dimensional figures. Students determine the greatest and least area...
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Shapes and Patterns in Art and Oceans
First graders draw, cut out, and design their own fish shapes by cutting out shapes and putting them together. In this shapes and patterns worksheet, 1st graders also construct a stamp and print patterns with stamps to repeat a...
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Area And Perimeter Using Pentominoes
Third graders engage in an enrichment lesson exploring the concepts of area and perimeter. They construct new pentominoes that are 3 times the size of normal ones and then identify the area and perimeter measurements. They then create a...
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Geography: Lengths, Perimeter, and Area of Similar Objects
Sixth graders explore characteristics of similar objects. Using attribute blocks, they explore the ratios of the perimeter, area and side length in similar shapes. They calculate and compare the area of shapes.
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Discovering Perimeter
Twelfth graders apply perimeter measurement to items found in newspapers and calculate the cost in terms of feet or yards. They share answers and explanations with classmates.
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Introduction to Trigonometry
Students identify the six trigonometric ratios and properties. In this trig lesson, students define basic trig functions as it relates to solving right triangles. They identify the equation for sine as o/h and cosine as a/h and tangent...
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Triangle Exterior Angles Theorem
Learners identify the measure of missing exterior angles. In this geometry lesson,students define and apply the exterior angle theorem to solve problems. They use Cabri software to create different angles and make investigations.
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Side Splitter Triangles
Students investigate the side splitter theorem. In this geometry lesson, students estimate and solve problems dealing with ratios and proportions. They identify angles created by lines that are parallel.
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Model Construction
In this instructional activity, students explore shapes and forms in architecture. Students understand that the function of architecture influences its form as well as construst a simple architectural model. As an assessment, have...
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Classifying and Constructing Corners
Fifth graders, after seeing Honeycomb examples, complete a Classifying Angles worksheet, Clock worksheet, and Defining Angles worksheet.
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Cut, Construct, and Think 5
In this shapes worksheet, students cut a square into different shapes, draw each shape, and then try to put it back together. Students complete this for 5 shapes.
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Cut, Construct and Think 6
In this geometry skills instructional activity, middle schoolers follow the provided instructions to cut out geometric shapes on the instructional activity and build 5 shapes out of the pieces. Students also complete a graphic organizer...
Mathematics Assessment Project
Optimizing Coverage: Security Cameras
Are you being watched? Class members determine where to place security cameras protecting a shop. They then evaluate their own and several provided solutions.
101 Questions
Snail's Pace
Time doesn't fly when you're watching a snail cross a sidewalk. Combining the concepts of the Pythagorean Theorem and the distance, rate, and time formula, learners determine how long it takes a snail to go from one corner of a sidewalk...
Mathematics Assessment Project
Applying Angle Theorems
Polygon ... an empty bird cage? After finding the angles of a polygon, young mathematicians use the provided methods to solve the problem in multiple ways.