Virginia Department of Education
Constructions
Pupils learn the steps for basic constructions using a straightedge, a compass, and a pencil. Pairs develop the skills to copy a segment and an angle, bisect a segment and an angle, and construct parallel and perpendicular lines.
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Tangent Lines and the Tangent Function
Construct tangent lines and make the connection to tangent functions. An informative lesson reviews the geometry origins of the tangent function. Pupils use that information to determine how to construct a tangent to a circle from a...
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Construct a Square and a Nine-Point Circle
Anyone can draw a square, but can you CONSTRUCT a square? Here is a resource that challenges math scholars to create steps to finish their own construction. They test their ability to read and follow directions to complete a construction...
Curated OER
8th Grade Math Parallel and Transversal Lines
Eighth graders label and define geometrical lines and angles. They identify angles on the board as acute, obtuse, straight, or right. In groups, 8th graders build with masking tape on the wall a pair of parallel lines, and a transverse...
Curated OER
Lines and Angles with K'NEX
Here is a geometry lessonwhich invites learners to create models using their knowledge of lines, segments, rays, and angles. This lesson reinforces geometric vocabulary and concepts through practical application, it also includes...
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Exploring Geometric Figures
Tenth graders explore mathematics by participating in hands-on daily activities. Learners identify a list of different shapes and classify them by shape, size, sides and vertices. They utilize tangrams and geometric pieces to gain...
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Construct a Perpendicular Bisector
How hard can it be to split something in half? Learners investigate how previously learned concepts from angle bisectors can be used to develop ways to construct perpendicular bisectors. The resource also covers constructing a...
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Looking More Carefully at Parallel Lines
Can you prove it? Making assumptions in geometry is commonplace. This resource requires mathematicians to prove the parallel line postulate through constructions. Learners construct parallel lines with a 180-degree rotation and then...
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Properties of Dilations
Investigate dilations to learn more about them. The second segment in a series of 16 provides a discussion of properties of dilations by going through examples. The problem set provides opportunities for scholars to construct dilations.
Mathematics Assessment Project
Classifying Equations of Parallel and Perpendicular Lines
Parallel parking might be difficult, but finding parallel lines is fairly simple. In this lesson, learners first complete an assessment task involving parallel and perpendicular lines in the coordinate plane. Individuals then take part...
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Ruler and Compass Constructions
Fourth and fifth graders examine how to construct perpendicular lines and to bisect angles using rulers and compasses in this unit of lessons. They design a number of polygons using these methods.
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Basic Geometric Constructions
Students observe and demonstrate a variety of basic geometric constructions using the Triman Safety Compass. Using the compass, they draw circles, bisect a line segment, construct an angle, bisect an angle, copy an angle, and create...
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City Streets: A Fold-up of a Street Lined with Buildings
After walking in a nearby neighborhood, have your class create this amazing city street pop-up. They study the facades of the buildings they see, focusing on geometric line, shape, and architecture. They then draw, cut, and create a city...
Curated OER
Interactivate - Lines, Rays, Line Segments, and Planes
Students explore lines, rays, line segments, and planes. In this math instructional activity, students discuss the math concepts and direct their instructor in graphing functions. Students collaborate in graphing additional functions.
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Radial Balance Geometric Shapes
Fifth graders create a radially balanced design using geometric shapes which exhibits their prior knowledge of symmetry. They use a kaleidoscope image to develop a design using markers or colored pencils.
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Geometric Figures and Applications
High schoolers study geometric figures. They use graph paper or Geometer's Sketchpad to construct and decorate geometric shapes, and also create a 3-D polygon using construction paper and a given template.
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Unknown Angle Proofs—Proofs with Constructions
Provide your emerging mathematicians with the tools to learn as they incorporate auxiliary lines to solve unknown angle proofs in this continuing segment. They decipher information from a diagram to uncover the missing pieces and...
Dick Blick Art Materials
Start with a Circle...
The Golden Ratio. The Divine Proportion. Yup. It's math and art blended into one colorful activity. Young artists combine colored tissue paper circles and parts of circles to create geometric patterns. As a bonus, kids get to figure out...
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Geometric Construction
Seventh graders investigate some concepts associated with geometric shapes. They study the bisector segment and the perpendicular line to a given line. Students conduct analysis with the goal of deepening observation and deduction...
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Dividing the King’s Foot into 12 Equal Pieces
Apply, apply, apply! A measurement lesson applies a number of concepts to help learn a new construction. Scholars learn to divide a segment into n equal parts using a method that uses the Side Splitter Theorem and a method that...
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Mirror Symmetry/Mirror Images
Students explore lines of symmetry in geometric shapes. In this geometry lesson plan, students construct angles using mirrors and rubberbands, then predict the number of images that will appear in the reflection. Students reproduce lines...
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Reflections
Facilitate creativity in your math class as individuals learn the definition of a geometric reflection and correctly construct a model, as well as its reflected image. They use a perpendicular bisector and circles to elaborate on...
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Angles
Fourth and fifth graders investigate angles and name them according to the criteria for obtuse, acute, and right angles. They examine a human-made yarn pattern on the floor of their classroom and identify angles, vertices, and types of...
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Geometric Shape Cakes
Students become problem solvers and communicate geometrical ideas. For this geometrical shapes lesson, students make a cake template from geometrical shapes.