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Can We Measure the Impossible?
In this measurement worksheet, learners explore methods to measure the thickness of foil. They write an essay on how they calculated the thickness of the foil, and the number of atoms thick it is. Students create labeled sketches to...
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Area of Parallelograms
Seventh graders review the process of finding the area of a rectangle and complete a couple of examples as a class. They discuss what a parallelogram is and what the formula would be for finding its area. They listen to an explanation...
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...
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Fractals Teachers' Notes
When you see a flower or a tree in nature do you see the math? This web resource contains many ideas for using fractals in a math class including Sierpinski’s triangle, Koch's Snowflake, and the Jurassic Park Fractal. Additionally, it...
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Integers and Measurement
In this integers and measurement worksheet, students solve 24 various types of problems as defined. They reduce all fractions to lowest terms. Then, students draw a diagram and show the measurements to the proper power and pi for the...
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Geometry
Students are introduced to the basics of Geometry. Using cutout shapes, they identify whether they are polygons by using the properties of polygons. They practice drawing shapes they are going to be using on an everyday basis and...
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Effects of Changing Dimensions Proportionally
In this geometry worksheet, 10th graders examine the effect of changing the dimensions of a figure proportionally on the perimeter, circumference, and area. The one page worksheet contains six problems. Answers are...
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Introduction to Fractals: Geometric Fractals
Learners 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. Learners complete worksheets based on Geometric Fractals.
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Word Problems: Geometry
Students solve word problems by using basic geometry. In this geometry lesson, students use geometric formulas to find the perimeter, area, and volume of objects. Students complete a worksheet.
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Ratios of Similar Figures
Students identify the ratios of different triangles. In this geometry lesson, students identify the similarity and differences of triangles. They use the navigator to move the sides of the triangle around.
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Let's Play Musical Shapes
Students practice recognizing shapes while using gross-motor skills. In this early childhood math movement lesson, students explore shapes as music plays and they walk the perimeter of large cut-out paper shapes by playing musical squares.
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Care Homework #7
In this care homework worksheet, young scholars add, subtract, multiply and divide integers. They multiply and divide fractions. Students complete percent problems and determine the area of polygons. This...
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Discovering Pi
Learners relate Pi to a circle. In this circles activity, students identify the different properties of two dimensional objects. They relate Pi to the circumference, diameter and area of a circle .
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Geometry and Spatial Sense
Students investigate geometric shapes in 2 and 3 dimensions. In this geometry lesson, students create a model chocolate factory working in groups and using an actual cake. Students take a quiz about measurement equations...
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Geometry Review
Seventh graders explore basic geometric definitions involving angles, area, and circumference. To reinforce basic geometric concepts, they play a "lightning Flash" card game. Students discuss chores or jobs that require the use of...
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Geometry w/o Figures - Week 7 (Basic Geometry Formulas)
In this basic geometry worksheet, students use basic formulas of geometry to find the area of a polygons, the number of sides of a polygon, and sum of the angles of various polygons. This three-page worksheet contains eight problems.
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Charting a New Course
Students calculate the distance they will travel. In this geometry lesson, students use the TI and CBL system to make calculation of a certain path. They explore geography by calculating distances between different areas as it relates to...
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Tangram Perimeters
Students work together to make figures out of tangram squares. In groups, they calculate the measurements they need and apply the Pythagorean Theorem. They complete a worksheet solving equations using the theorem and review their answers.
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Math/Quilt Connection
Students explore quilting. In this math patterns lesson, students define the perimeter of a quilt border, create tessellations using geometric shapes, and detemine the area of a quilt.
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Measurement Investigations 1
Fifth graders find perimeters, areas, and volumes of everyday objects and state the precision. They work in small groups in order to take measurements, perform calculations, and write a group report about the investigation.
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Introduction to Fractals: Geometric Fractals
Students explore the concept of fractals. In this fractals lesson, students discuss Sierpinski's Triangle using an applet. Students discuss the patterns involved with fractals. Students discuss the area of Sierpinski's triangle as the...
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Lesson Exchange: Polygons (Middle, Mathematics)
Pupils discover the relationship between the sides of a polygon and the number of diagonals that can be drawn from one vertex, the number of triangles that those diagonals form, and the sum of the interior angles of that polygon.
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Running Colors
Students play a game with mats of different shapes and colors spread out over a playing area. As a shape and color is called out students run the the corresponding mat and stand on it.
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The Geometry of Means
In this geometry worksheet, students are given a rectangle and a square. They verify ratios when given equal perimeters or areas. Students are given adjacent squares. They find the distance between the centers, and identify the means...
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