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 lesson.
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Geometry: Lesson 1: Points, Lines, Segments, Angles
Fourth graders examine the concepts of, draw, and label points, lines, segments, and angles, They draw, label, and identify horizontal, vertical, intersecting, parallel, and perpendicular lines. They complete an associated worksheet that...
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Plain Figures And Measuring Figures
Seventh graders investigate the mathematical concept of a sector. They apply the concept to an example problem and then move into a more complex application. They find the area of the side of a cone. This is done as students calculate...
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Algebra/Geometry Institute: Area of Polygons
Students find the area of polygons. In this area of polygons lesson, students find the area of parallelograms, rectangles, squares, and other polygons. They identify each given figure and determine the appropriate formula needed to...
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How Far Am I Traveling
Pupils solve for missing sides using the Pythagorean theorem. In this algebra instructional activity, students derive the six trigonometric values using the right triangle. They relate the Pythagorean theorem to the distance formula.
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Pyramids
In this Geometry worksheet, 10th graders solve problems involving the properties of a regular pyramid. The two page worksheet contains a combination of seven multiple choice and free response questions. Answers are included.
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Quilt Squared
Students study West Virginia quilts. For this mathematics lesson, students use symmetry, geometric shapes, and patterns to create their own quilt square.
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Quadrilateral Explorations
Ninth graders identify quadrilaterals and label the vertices of quadrilaterals. they justify their identification of the quadrilaterals. Students work in groups to identify and create quadrilaterals
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Quadrilateral Explorations-Grade Nine
Ninth graders investigate quadrilaterals. In this geometry lesson, 9th graders examine and classify quadrilaterals using the slope, midpoint and distance formulas. Additionally, students create various quadrilaterals given three point...
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Applications of Properties of Quadrilaterals in the Coordinate Plane
Young scholars explore the concept of quadrilaterals. In this quadrilaterals lesson, students use the slope formula, midpoint formula, and distance formula to justify that a given quadrilateral is a parallelogram.
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Slope Right Up
Middle schoolers 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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Finding the Measure of Segments
Students observe and solve examples of betweenness, ruler postulate, and segment addition postulate. They complete the Finding the Measure of Segments worksheet using the distance formula.
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Exploring Volume of Cylinders
Tenth graders investigate the volume of a cylinder. In this geometry lesson, 10th graders create three-dimensional cylinders and use a ruler to determine the dimensions. The lesson progresses to the use of the formula to find the...
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Incredible Edible Bridges
Students create a bridge using engineering and geometric concepts. In this geometry lesson, students identify the missing measures of polygons sides and angles. They work together to solve real life situation using problem solving skills.
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Polygons and Plane Figures
Students choose a polygon to define and describe, and use Power Point and the Internet to present their polygon.
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Race The Rapper: Slopes
Students calculate the slope of the equation For this algebra lesson, students graph coordinate pairs of linear equations and identify the relationship between x and y values and slope. They differentiate between functions and...
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How Tall Is That Flag Pole?
Students examine various triangles and discuss how similar triangles have sides that are proportional. They utilize an ancient Egyptian method to determine the height of a flagpole.
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Choosing a Summer Job
What did you do over your summer vacation. Young wage earners must compare summer job options, and determine when each job earn the same amount and what that amount be. This be done by creating, graphing, and solving systems of...
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Reflections
Fifth graders create a reflection of a poygon using a Mira. They discover that a line connecting a vertiex of a polygon and the corresponding vertex of its reflection is perpendicular to the line of reflection. Students create a glide...
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Introduction to Locus
Students define the five rules of loci. For this geometry lesson, students identify the locus of points that creates a circle. They calculate the distance from a fixed line and point.
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Strongest Polygon
Learners define and identify shapes by name. In this geometry lesson plan, students construct, identify and compare polygons based on the number of sides. They classify each shape based on their angle sum theorem.
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Calculus at the Battle of Trafalgar
Students read an article on how calculus is used in the real world. In this calculus lesson, students draw a correlation between the Battle of Trafalgar and calculus. The purpose of this article is the show everyday uses for calculus in...
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Magnificent Mandalas
Students examine the principle of radial symmetry and apply it to an original mandala design. They draw a design using organic and geometric shapes, repeating the design symmetrically around the paper.
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Geometric Glossary
Fourth graders use drawing and paint tools to identify, draw and state several geometric terms.