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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Evaluating Transcripts
Ninth graders review their transcripts and calculate their individual grade point averages. They brainstorm on how they can keep track of their progress in school and what information will follow them throughout their lives. Each student...
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Introducing the Concept: Percents
Students explore the math concept of percents. In this percents lesson plan, students examine visual examples of the relationships among fractions, decimals, and percents. Students also practice solving problems that their instructors...
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Principles of Flight: Flying Paper Airplanes
Students investigate ways to enhance an object's flying ability. In this model construction lesson, students construct two paper airplanes, one of which is twice as big as the first. Students compare and contrast the two separate...
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Plugging Into The Best Price
Examine data and graph solutions on a coordinate plane with this algebra lesson. Young problem-solvers identify the effect of the slope on the steepness of the line. They use the TI to graph and analyze linear equations.
Illustrative Mathematics
Log Ride
The rides at a theme park always have limits on weight or number of riders. This makes a natural example of the use of inequalities to solve real-world problems. Learners explore intuitive solutions using substitution to solve the...
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Study Guide for the Advanced Placement Calculus AB Examination
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and integral calculus,...
College Board
Try This! Calculus Teaching Tips
It's important to spice up your lessons. An online article discusses teaching strategies for AP® Calculus. In-class activities include matching games, placemats, multiple choice questions, scripted discussion, involuntary discussion,...
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Area Unit
Students solve the area for parallelograms,squares, rectangles, trapezoids, and triangles. For this geometry lesson, students compare and contrast two dimensional shapes and apply their properties to solving real life scenarios. This is...
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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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Volume and Surface Area: Which Is More?
Students explore the volume and surface area of three dimensional figures. Through the use of video, students discover three dimensional shapes, their uses in real-life applications, and methods used to calculate their volume and surface...
Pennsylvania Department of Education
A Geometric Scavenger Hunt
Fifth graders connect their knowledge of polygons and polyhedrons. In this geometric shapes lesson, 5th graders identify and classify two- and three-dimensional objects. Students construct a polyhedron out of polygons and describe their...
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Geometry, Measurement & Reasoning
Young scholars measure prisms and determine their volume. In this measurement and reasoning lesson, students estimate the volume and area of prisms. They measure given boxes. Young scholars use paper to create prisms and cylinders. They...
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Which Quadrilateral Is It?
Students prove conjectures about geometric figures on the plane or in space using coordinate geometry. They develop fluency in operations with real numbers, vectors and matrices using mental computation or paper-and-pencil calculations...
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Surface Area of Prisms
Students compute surface area and volume of prisms. In this surface area lesson, students find the surface area and volume of rectangular and triangular prisms. Independently, students use their computers to determine the volume,...
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Living Room Redecoration
Fourth graders use math in a living room redecoration lesson. In this geometry lesson, 4th graders get the dimensions of a living room and need to find the amount and cost of paint and flooring. They read different scenarios and decide...
Helping with Math
Geometry: Areas of Triangles
For this areas of triangles instructional activity, students observe given polygons. They determine the area of triangles, rectangles and compound figures. This one-page instructional activity contains 5 multi-step problems. This...
Pennsylvania Department of Education
Volume of Regular and Irregular Objects
Fifth graders examine patterns and relate to equations to solve math problems. In this patterns lesson, 5th graders diagram, graph, use models and use tables to solve equations for real world problems.
NASA
Next Generation Spacecraft - Orion
Emergine space engineers discover the area of complex geometric shapes. They find that, just as a spacecraft is composed of many smaller parts, so can polygons be broken into smaller shapes.
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Algebra/Geometry Institute Summer 2009 - Triangles and the Pythagorean Theorem
Seventh graders find the perimeter and area of triangles. In this finding the perimeter and area of triangles instructional activity, 7th graders find the perimeter and area of triangles given two sides. Students find the missing side...
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Geometry in the Real World
Eighth graders complete a unit of lessons on basic geometry concepts. They participate in a variety of activities, culminating in a project that involves publishing a booklet or a poster that presents the major geometry concepts from the...
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Around The Stop Sign
Learners analyze a drawing of a regular octagon inscribed in a circle to determine angle measures, using knowledge of properties of regular polygons and the sums of angles in various polygons to help solve the problem. They use...
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Parachute Drop
Students explore the effects of gravity. They create a parachute and make predictions about the effect of adding weight to the bottom of the parachute. Students record and interpret results of parachute experiments.
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Who Let the Dogs Out?
Students examine the concepts of area and perimeter and how they relate to a rectangle. They find the largest possible area that can be enclosed by a fixed perimeter and complete a worksheet as well as create a table of all the possible...