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In the Path of the Ancients: Unearthing Formulas for Area
Students apply the formulas for the area of parallelograms and triangles. Through guided practice, students discover the correct way to apply the formulas. Working in pairs, they write their own problems featuring the formulas.
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Try An Angle
Fifth graders classify the different triangles by sides and angles. They discover how many different ways they can arrange 2, 3, 4 ...7 tangram pieces to create triangles. They classify and label the six triangles on their pattern sheet.
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Application of Delta-Epsilon Definition of the Limit
Students investigate the concept of a Limit and how it is used in a variety of problematic situations. They fold paper to help illustrate how to form equilateral triangles and explain how all the angles are the same. The lesson includes...
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Symmetry
Sixth graders explore symmetry and discuss the difference between a rotation and reflection. Using hands-on activities, such as folding paper shapes, they discover how to find the lines of symmetry and symmetrical characteristics. As a...
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Exploring Centers of a Triangle: Part 1
Students use problem solving skills, formal geometry, and The Geometer?s Sketchpad. They model and solve two real-world problems by constructing the in center and circumcenter of triangles.
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Using Polynomials To Find Perimeter
Fifth graders engage in the solving of a real life application problem using the concept of calculating perimeter. They apply the operations of calculating with the polynomials for finding the perimeter of triangles,quadrilaterals, and...
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Pythagorean Theorem Word Problems
Young scholars investigate the concept of the Pythagorean Theorem for geometry by using word problems. The challenge is for them to translate the words into the right measurements for a triangle looking for the longest side known as the...
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Placing Plates
Second graders investigate the task of making a large hexagonal plate by putting together smaller ones. The lesson has detailed example problems for the teacher to use during direct instruction. The manipulative activities strengthen the...
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Tiling the Plane
Students use pattern blocks and triangular grid paper to review shape names, be introduced to the concept of a tiling of the plane, and determine which pattern blocks tile the plane. They are asked: "Have you ever seen a floor or a wall...
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The Diagonal Of A Box
Learners solve problems using the pythagorean theorem. They use critical thinking skills in order to use a systematic process to solve the problem. Upon solving each problem the uniqueness of the lesson plan is asking students to give an...
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Exploring Centers of Triangles
Students explore properties of triangles using angle bisectors, incenters, circles, midpoints, and altitudes. They use Geometer's Sketchpad in order to create triangles and their properties.
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Dizzy Heights
Fifth graders explore ways to measure the height of an inaccessible object. They measure lengths using a tape measure or ruler. Students measure angles using a protractor and estimate heights.
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Investigating the Idea of Cos
Fifth graders use cos to solve problems involving right-angled triangles. They solve equations of the form cos(++) = a, for a between -180 and 360 degrees. They state the value of cos(++) in special cases and graph y = cos(++).
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Ship Shape
Second graders explore shapes and create a Silly Shape book. Students recognize that shapes have certain properties and be able to define them. Example, a triangle is any three-sided shape. Students' job is to make a picture on...
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Polygonal Strings
Sixth graders apply knowledge of how to calculate the area and perimeter of triangles. They determine why it is inappropriate to measure the area of land by its perimeter which is done in certain areas of New Guinea. They complete a...
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Origami Frogs
Ninth graders explore a variety of geometry and science concept while making an origami frog. The fold paper into the shape of a frog and conduct measurement activities including frog leaps.
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Seeing Shapes
Students study a variety of geometric shapes by taking pictures of items representing the shapes with a digital camera. They identify the shapes by using software to paint on the image.
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Pattern Puzzlers
Learners identify triangles, circles, and squares, then show their understanding of patterns by continuing a pattern that contains three different elements. They utilize worksheets imbedded in this plan to practice using these shapes.
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Trigonometry
Eighth graders practice calculating the unknown length of a right angle triangle. They also examine the pythogoram theory in groups. They help each other work through the problems.
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Tri this Angle!
First graders draw and describe various types of polygons. they investigate their own environments for examples of polygons. After reading the book, The Greedy Triangle, they discuss everyday objects that are polygons. They create shape...
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Area graphics for 7th graders
Students randomly select dimensions for three geometric shapes (square, right triangle and circle). From the graphs they compare and contrast the graphical results of each shape.
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Triangle Explorer
Students calculate the area of triangles using a variety of materials including computer applets.
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Calculating the shortest distance between two points
Eighth graders find the length of the third side of a right triangle.
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Mathematics: The Star of David
Sixth graders determine the number of triangles in the Star of David.