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Reflections over Two Lines & Dilations
Students create reflections over two lines. For this reflections worksheet, students compare and contrast reflections over parallel and intersecting lines. They dilate figures and investigate the effect of the dilation using measurement...
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Exploring the Slopes of Parallel and Perpendicular Lines
Pupils calculate the slope of parallel and perpendicular lines.In this algebra lesson, students differentiate between parallel and perpendicular lines. They graph their lines using the slope of the equation.
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Slope of a Function
Seventh graders explore the concept of the slope of a line. They see how to determine the direction of the line. Also students are introduced to the slope intercept algebraic expression in conjunction with the rise/run.
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The Pythagorean Theorem, the Distance Formula, and Slope
Students explore the concept of the Pythagorean Theorem. In this Pythagorean Theorem lesson, students derive the distance formula and slope of a line from the Pythagorean Theorem.
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Transformations: Reflections
Students perform transformations on their graphs. In this algebra lesson, students identify the pre-image and image. They find and identify congruent shapes and isometry.
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Exploring Transformations: Translations and Reflections
Learners perform translation and reflection. They identify the coordinate points of the new graph and create a formula for the movement. They identify the pre-image the and after image.
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Rotations in the Plane
Pupils investigate the properties of a rotation as they use technology (Cabri, Jr.) to observe the relationship between the pre-image and the image formed by the rotation. The lesson provides ample opportunity for learners to conjecture...
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Translations, Reflections and Rotations
Fifth graders use the Internet to learn about translations, reflections and rotations. Students access the Transmographer program on the Internet, where they practice what they have learned. Students also complete a worksheet.
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Distance Formula
Learners determine the distance between two points. In this distance formula lesson, groups of students determine the distance between points in real life situations. They calculate the distance from one point in the...
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Equations of Circles
Using Cabri Jr. young scholars construct a circle and determine the equation of the circle they drew by finding the center and the radius. Students use the distance formula to derive the equation of their circle.
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Picking Pythagoras
Students discover that side measurement is used in determining angle classification of a triangle. By squaring sides, they predict whether triangles be right, obtuse, or acute. They prove the Pythagorean Theorem and use it to solve...
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The Sum of Our Integer Intelligences
Students complete tasks. In this Seven Intelligences lesson, students complete a variety of activities that are all based on the seven different intelligences humans are supposed to possess based on Dr. Gardener's theory. They work in...
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Tessellations
Students learn and review basic geometric terms, definitions, and theory, including regular polygons, lines, angles, points, etc. They make a tessellating stamp and create a repeating work of art.
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Sizing Up the Supersize Croc
Students examine and compare traits of humans and crocodiles. In this crocodile lesson students use a ratio to estimate the height of a person and compare that to a crocodile.
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A World of Symmetry
Middle schoolers identify lines of symmetry. In this symmetry lesson, students create objects and identify their lines of symmetry. They answer questions about lines of symmetry. Middle schoolers cut shapes out of...
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Traveling aroud Our Town
Students are asked to describe to a partner how he or she walks to school or the bus stop. They are shown on the overhead an one-inch grid paper, and at the intersection of two lines on the grid paper, students are shown a house and...
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How many isosceles triangles can you find?
Seventh graders recognize the characteristics of isosceles triangles. In this isosceles triangle lesson, 7th graders use geoboards to create isosceles triangles. Students record results and explain why they have an isosceles triangle.
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Geometric Transformations
Learners examine images and preimages of a mapping and identify isometry. They view images by M.C. Escher, observe teacher demonstrations, and create a translation image, a rotation image, and a dilation.
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The Mandelbrot Set
Students are introduced to the notion of a complex number and function iteration in order to motivate the discussion of Julia sets and the Mandelbrot set.
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Don't Let Parabolas Throw You
Students identify relation, function, patterns and range. In this algebra lesson, students factor and graph quadratic equations. They use transformation to move the parabola around and make predictions.
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Pattern Matching
First graders examine how to determine the lines of symmetry in pictures, shapes, and patterns by completing the lessons in this unit. They make patterns that show a line of symmetry and describe it using their own language.
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Slope Right Up
Students 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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Navy Sail Design
High schoolers use the Pythagorean Theorem to explore sailboat design. In this Pythagorean Theorem lesson plan, two sides of a triangular sail are measured, and the theorem is used to calculate the third side. A worksheet, bulletin board...
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Graphing System of Equations
Students solve system of equation. In this algebra lesson, students graph, substitute and eliminate to solve system of equation. They identify the point of intersection and how many solution each system will have.