EngageNY
Points of Concurrencies
You say that perpendicular bisectors intersect at a point? I concur! Learners investigate points of concurrencies, specifically, circumcenters and incenters, by constructing perpendicular and angle bisectors of various triangles.
Virginia Department of Education
Congruent Triangles
Is this enough to show the two triangles are congruent? Small groups work through different combinations of constructing triangles from congruent parts to determine which combinations create only congruent triangles. Participants use the...
Mathed Up!
Pie Charts
Representing data is as easy as pie. Class members construct pie charts given a frequency table. Individuals then determine the size of the angles needed for each sector and interpret the size of sectors within the context of frequency....
Virginia Department of Education
Special Right Triangles and Right Triangle Trigonometry
Right triangles are so special! Use special right triangles to discover the trigonometric ratios. Pairs construct special right triangles and find the values of the ratios of the sides. In the process, they discover the ratios stay the...
Curated OER
Duplicating Segments and Angles
Tenth graders investigate geometric construction. In this geometry lesson, 10th graders explore the procedure for copying an angle and a segment. The lesson emphasizes the difference between a sketch, a drawing, and a construction and...
Curated OER
Inscribing a Square in a Circle
Inscribing a square in a circle brings up a number of interesting geometry topics including triangle congruence and how to prove a quadrilateral is a square. This activity is followed up by finding the area of the square and determining...
Curated OER
Compass Designs
Young scholars investigate the properties of two and three dimensional objects. In this geometry lesson plan, students differentiate polygons based on similarity and congruence. They make observation and interpret the data.
Virginia Department of Education
Similar Triangles
Pupils work in pairs to investigate what it takes to prove that two triangles are similar. They work through various shortcuts to find which are enough to show a similarity relationship between the triangles. Small groups work with the...
Curated OER
Congruent Triangles
Students explore the concept of congruent triangles. In this congruent triangles lesson, students use Cabri Jr. to construct two congruent triangles using circles. Students determine if the two triangles are congruent by using the SSS,...
Curated OER
Fly Me to the Moon!
In this Moon travel worksheet, students construct a simple rocket trajectory called the Hohmann Transfer orbit using a compass, string, paper and a pencil. Students solve 2 problems which include finding the number of hours it takes to...
Curated OER
Let the Sun Shine In: Energy Conservation
Students create a project applying their math skills as they discuss energy conservation. In this geometry lesson, students define vocabulary relating to the environment and energy conservation. They construct a building that allow lots...
Mathed Up!
Two Way Tables
When presented with categorical data, a two-way frequency table is a great way to summarize the information. Pupils organize categorical data using a two-way table, then use the tables to determine missing data and to calculate simple...
Curated OER
Euclidean Geometry
In this Euclidean geometry worksheet, high schoolers use a straight edge and a compass to create constructions that are possible with Euclid's Postulates. This one-page worksheet contains two construction problems.
Curated OER
Concurrent Lines, Medians and Altitudes
In this geometry instructional activity, students construct angles and identify medians and altitudes. They use a compass and protractor to perform heir construction. There are 28 questions.
Curated OER
The Centroid : Balancing the History
Students discover the centroid of a triangle based on Euclid's constructions. They explore locus of points of a median. They understand properties of the segments that form the median and areas of the smaller sections formed by the median.
Curated OER
A Lesson on the Root Spiral
Students create lines and shapes with a compass and a straight edge. In this geometry lesson, students investigate square roots, irrational numbers and spirals. They explore nature to see the shapes representing mathematics and geometric...
Curated OER
Triangles with Collinear Circumcenters
Students identify the circumcenter of a triangle. In this geometry lesson, students construct a perpendicular bisector using a straight edge and a compass. They differentiate between triangles and collinear points.
Curated OER
Pedal Triangles
Students identify the properties and theorems of triangles. In this geometry lesson plan, students construct angle bisectors using a compass and straight edge. They identify triangular similarity and congruency.
Mathematics Assessment Project
Circles and Squares
Squares, and circles ... and squares, and more circles. In this high school assessment task, pupils investigate the ratio of areas of two squares that are circumscribed and inscribed in a circle. They then determine the ratio of the area...
Curated OER
Scale factors: Ratios and Proportions
Learners create building and models using scale factors. In this geometry lesson, students apply the properties of ratio and proportion to solve problems. They identify the means and extremes property of cross multiplication.
Curated OER
Exploring Arrangements of 2, 3, 4, and 5 Cubes
Learners construct models of various tricubes, tetracubes, and pentacubes that are possible, classify n-cubes into different groupings, and draw these figures on isometric dot paper giving true perspective to what they visualize.
Curated OER
Build and Test
Students display what they have learned about bridges as they construct their bridge. They present their projects to the rest of the class. They compare and contrast the construction of the bridges.
Curated OER
Angles in Art Lesson
Students examine the correlation between art and math. Using their computers, students construct and measure angles. Students identify the properties of angles and polygons. They engage in the Angles program on their Palm and use the...
EngageNY
Geometry Module 5: Mid-Module Assessment
How can you formally assess understanding of circle concepts? Pupils take a mid-module assessment containing five questions, each with multiple parts.