Inside Mathematics
Aaron's Designs
Working with transformations allows the class to take a turn for the better. The short assessment has class members perform transformations on the coordinate plane. The translations, reflections, and rotations create pattern designs on...
NY Learns
Investigation - Looking at Polygons
Middle schoolers construct polygons by plotting points on a coordinate plane. Pupils connect the points and identify which polygons they have drawn. They will need graph paper to carry out the assigned activities. A vocabulary list,...
Curated OER
Rotations and reflections
In this rotations worksheet, students complete problems having to do with shapes and their rotations, reflections, symmetry, translations, and more. Students complete 6 problems.
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Translations, Reflections, and Rotations
Tenth graders have been introduced to the concepts of translation, reflection, and rotation, and have practiced translating, reflecting, and rotating two-dimensional objects on the coordinate plane.
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Tessellations
Students identify shapes that will tessellate. They construct a tessellation using transformations. Students identify transformations in tessellations. They identify applications of transformations such as tiling and fabric design.
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Slope Right Up
Students use triangles to find the length and slope of each side. After connecting the vertices, they add points based on their specific instructions. They use the Pythagorean Theorem to complete a worksheet to end the lesson.
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Tetrominoes Cover-Up
Third graders compare and contrast the attributes of two-dimensional shapes. Using a tetrominoes game, they create two-dimensional shapes to cover up a game board. At the conclusion of the game, 3rd graders discuss the patterns they...
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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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Drawing Quadrilaterals
In this math worksheet, learners draw quadrilaterals and also find the sums of the inner angles for each. They practice drawing rhombuses as unique quadrilaterals.
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Transformations
In this transformations learning exercise, pupils draw the transformations of the triangles and parallelograms in graphs. They complete four drawings.
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Quadrilateral Clues
Fourth and fifth graders work in pairs explore quadrilaterals. In this problem-solving instructional activity, learners participate in hands-on activities that require them to identify, describe, compare, and classify...
Improving Measurement and Geometry in Elementary Schools
The Sum of the Interior Angles of a Polygon
Junior geometers discover that polygons can be decomposed into triangles and that the number of triangles can be determined by a rule. Note that the Geometer’s Sketchpad® software is required to carry out all components of this...
Curated OER
Volume and Surface Area
Students explore volume and surface area. In this math lesson, students fill boxes with cubes to identify the volume of the boxes. Students discuss area.
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Volume of a Cylinder
Middle and high schoolers calculate the volume of cylinders. They measure the height, radius and diameter of cylinders. Following given formulas, students calculate the area and volume of the cylinder. They compare cylinders and predict...
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Shapes Are Everywhere
Third graders use various shapes to identify polygons and understand symmetry. They explore pattern blocks noticing their similarities and differences, then share with other team members. They draw 3 polygons in their journals and...
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Teaching Polygons using Technology
Third graders utilize different types of computer programs, such as Microsoft paint and Microsoft Word to study and create different types of polygons. They use PowerPoint to create a story about a shape and others that it meets during a...
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Perfectly Puzzling Pentominoes
Second graders utilize manipulatives (pentominoes) to demonstrate knowledge of: lines of symmetry, slides, reflections (flips), rotations (turns), area, and perimeter. This lesson gives students a meaningful way to practice these...
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Using Optical Illusion Brain Teasers Add a Twist to Math and Science
Optical illusion activities can provide a motivating way for students to explore math and science concepts.
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Quandaries, Quagmires, and Quadrilaterals
Students classify, flip, slide, and turn a quantity of quadrilaterals.
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Volume and Surface Area of Polyhedrea
In this volume and surface area worksheet, students use given formulas to determine the volume and area of polyhedrea. This four-page worksheet contains examples, explanations and 32 problems. Answers are provided on the fourth page.
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Transformations, Tessellations, and Technology
Students complete a unit about transformations and tessellations. They explore various tessellation websites, determine which shapes tessellate, complete a log about which website activities they complete, and create a tessellation...
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Introduction to Fractals: Geometric Fractals
Students study and observe the patterns made by the areas of the Sierpinski Triangle. Students use the computer to draw two or three iterations to discover the number patterns. Students complete worksheets based on Geometric Fractals.
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Angles, Triangles, Quadrilaterals, Circles and Related
Students classify angles. In this angles lesson plan, students explore the characteristics of angles, triangles, quadrilaterals and circles. They identify polygons and sing a classifying angles song. Students participate in a...
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Angles Lesson Plan
Students stud angles, and then play the "What's Your Angle?" game. They complete at least 10 computer generated problems from the Angles Applet.