Pennsylvania Department of Education
Creating Polygons
Students describe, make and compare polygons. For this creating polygons lesson, students identify properties of quadrilaterals and describe common features of two dimensional shapes.
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What Shape Am I?
First graders analyze characteristics of geometric shapes. They identify, describe, and create simple geometric figures. They analyze characteristics of geometric shapes and determine the defining attributes of a circle,...
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Angles
In this math worksheet, students practice defining angles and work on some various problems that focus upon the fraction of a turn.
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Area
Third graders find areas of rectangles by using square units, apply knowledge to real-life situations, and simplify method of counting square units by multiplying the length times the width.
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Pythagorean Theorem
In this measurement lesson, learners examine the Pythagorean Theorem, perimeter, and areas of right triangles. They record their measurements and research their findings on a grid.
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Finding Perimeter and Area
Geometers find the perimeter and area of rectangles. They discuss the definitions and characteristics of rectangles and squares. In groups, they use yarn to discover the perimeter of squares and rectangles. They count cubes to explore...
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Fractions and Measurement
Using a Smart Board, or a plain ol' white board or chalkboard, the teacher pulls up a grid and demonstrates how squares and rectangles can be divided up into equal parts. The class will get their own graph paper to draw shapes and divide...
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Polygons and Sketching
For this geometry worksheet, learners define and draw quadrilaterals. They differentiate between the different shapes. There are 3 questions with an answer key.
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Figure It Out - Polygons
Sixth graders explore different polygons. In this polygon lesson, 6th graders examine a rhombus, quadrilateral, parallelogram, and rectangles. Students compare and contrast polygons and research shapes on the Internet.
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Square Graphs
Young scholars identify the different properties of quadrilaterals. In this geometry-activity, students define parallel sides and diagonals of polygons as they compare to a quadrilateral. They identify the methods to find the angles in a...
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Lines In Geometry
Students define important vocabulary words using a dictionary. In this geometry lesson, students identify and use properties of triangles to solve problems. They identify the median. altitude and angles as well as properties of...
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Geometry Flip Book
Young scholars investigate the concepts of geometry that can be grouped into a flip book that can be used for teaching and review purposes. They define the differences between two and three dimensional figures. Also polygons are reviewed...
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Identifying Triangles
Sixth graders identify and define a variety of triangles. For this identification of triangles lesson, 6th graders draw examples of each triangle on a whiteboard, then complete a worksheet.
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Problem Solving Using Power Polygons
Students investigate geometric shapes by creating figures on a plane. In this polygon lesson, students complete a worksheet based on the angles in a power polygon. Students identify the different types of polygons and define their...
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Properties of Special Parallelograms
Learners identify properties of parallelograms. In this geometry lesson, students label polygons as parallelogram or not. They define and label the properties of a kite.
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Easy Worksheet: Area and Perimeter of Rectangles and Squares
In this area and perimeter of rectangles and squares worksheet, students solve 6 graphing and short answer problems. Students plot four coordinates of a rectangle or square on the coordinate plane. Students find the area or perimeter of...
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Pythagoreum Theorem
Students practice assessing how to apply the formulas for the area of parallelograms and triangles. They recount the contributions of Pythagoras and apply the theories of the Pythagorean theorem in a group project to calculate the...
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Square Roots and Quadratics.
In this algebra worksheet, students solve for the square root and calculate and solve roots. There are 10 questions with an answer key.
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Finding Area and Perimeter of Rectangles and Squares Given Vertices
In this area and perimeter worksheet, students find area and perimeter of rectangle and squares given the coordinates of the vertices. Grids are provided for these six problems.
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Linear Inequalities - Parallelogram Problem
Young scholars use the Geometer's Sketchpad to illustrate possible answers to a parallelogram problem. As a class, they discuss the point-slope and linear equation forms. Individually, students solve their equations and check the...
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Marshmellow Geometry
Students explore a variety of geometric shapes, name them, and list their characteristics. The shapes are transposed into structures and checked for accuracy.
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Numerical Analysis: Discrete Least Squares
In this discrete least squares worksheet, students use a linear algebra approach to discrete last squares approximation. This two-page worksheet contains approximately 10 problems.
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Area and dimensions
Sixth graders study the concepts of area and dimensions. In this area and dimensions lesson, 6th graders work in pairs to complete the handout included that illustrates ways to represent various numbers. Students also determine what...
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Geometry /Tessellations
Middle schoolers investigate the concept of tessellations and how they are formed using angles. They categorize how different patterns do and not tessellate and separate them into two different places for assessment. The teacher draws...