Curated OER
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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Translations
Learn through constructions! Learners examine a translation using constructions and define the translation using a vector. Pupils then construct parallel lines to determine the location of a translated image and use the vector as a guide.
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Arcs and Chords
You've investigated relationships between chords, radii, and diameters—now it's time for arcs. Learners investigate relationships between arcs and chords. Learners then prove that congruent chords have congruent arcs, congruent arcs have...
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Cyclic Quadrilaterals
What does it mean for a quadrilateral to be cyclic? Mathematicians first learn what it means for a quadrilateral to be cyclic. They then investigate angle measures and area in such a quadrilateral.
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Copy and Bisect an Angle
More constructions! In this third installment of a 36-part series, learners watch a YouTube video on creating door trim to see how to bisect an angle. They then investigate how to copy an angle by ordering a given list of steps.
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How Do 3D Printers Work?
If we stack up all the cross sections of a figure, does it create the figure? Pupils make the connection between the complete set of cross sections and the solid. They then view videos in order to see how 3D printers use Cavalerie's...
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Similarity
Learn similarity through a transformations lens! Individuals examine the effects of transformations and analyze the properties of similarity, and conclude that any image that can be created through transformations is similar. The...
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Properties of Area
What properties does area possess? Solidify the area properties that pupils learned in previous years. Groups investigate the five properties using four problems, which then provide the basis for a class discussion.
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General Pyramids and Cones and Their Cross-Sections
Are pyramids and cones similar in definition to prisms and cylinders? By examining the definitions, pupils determine that pyramids and cones are subsets of general cones. Working in groups, they continue to investigate the relationships...
Curated OER
"Sir Cumference and the First Round Table" by Cindy Neuschwander
Students experiment with rearranging shapes to better visualize the Congruence and relationship of geometric shapes.
Curated OER
January Worksheets: Number Book
In this lower elementary geometry worksheet, students make a shape book. They receive a book with the outline of a circle, triangle, square, and rectangle with the word that names the shape. They cut out images of the four shapes and...
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Angles and Arcs formed by Intersecting Chords
In this angles and arcs instructional activity, students complete a warm-up, state the formula formed by intersecting chords, and answer eight problems. The instructional activity includes a closing think pair share problem.
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Cross Sections
Young visual learners explore different cross sections of 3-dimensional objects. First, cross sections of cubes are explored by using an interactive flash activity. This is then extended by looking at cross sections of spheres,...
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Independent Practice 2: Recognizing Similar and Congruent
Learners examine given figures and determine if they are similar and congruent or similar and not congruent. Afterward, they match congruent figures drawn in a table. This one-page worksheet contains 12 problems.
Curated OER
Parallel Lines
Based on two sets of parallel lines intersected by a transversal, your young geometers determine the measures of 10 angles by applying the definitions of vertical, corresponding, alternate interior, and alternate exterior angles. When...
Curated OER
Find the Area
In this find the area worksheet, 10th graders solve and complete 18 different types of problems. First, they find the area of a figure with consecutive sides. Then, students find the area and perimeter of a square shown. They also find...
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Conic Sections and Locii
Students differentiate between ellipse and hyperbola. In this algebra lesson, students graph and solve elliptical equations. They use the cabri program to create the different conics and move them around.
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Classifying Polygons
Students study polygons. In this math lesson, students play a game in which they learn the classification system for polygons. Students identify the properties of quadrilaterals.
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Fifteen Regents Exam Midpoint Problems
In this midpoint instructional activity, students answer ten multiple choice and five free-response problems using the midpoint formula. The solutions are provided.
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Complement of an Event
In this probability worksheet, 9th graders solve 10 different problems that complement a particular event. First, they determine the probability of landing on a sector that is not black after spinning the spinner. Then, students...
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Similar Triangles
In this similar triangles worksheet, 10th graders solve and complete 10 different problems related to determining the sides of similar triangles. First, they write three equal ratios to show the corresponding sides that are proportional....
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Quiz: Lines and Planes
For this lines and planes worksheet, students answer eight true and false questions telling if two line segments are parallel or in the same plane. Students tell the line on the intersection of two lines and name the plane the lines are on.
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Parabola
For this parabola worksheet, students write the equation for a parabola using a specified focus, directrix or vertex. This one-page worksheet contains ten problems.
Curated OER
Intersecting Lines
In this intersecting lines worksheet, 10th graders identify and complete 10 different problems that include equidistant intersecting lines. First, they write the equation of the locus of points equidistant from the x-axis and the y-axis...
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