Illustrative Mathematics
Dilating a Line
High School geometers verify through experimentation certain properties about dilations. This multi-step problem challenges them to construct examples of dilations to verify specific facts, the final step provides an opportunity to more...
EngageNY
Unknown Angle Proofs—Proofs of Known Facts
Lead the class in a Greek history lesson with a geometric twist. Pupils relate a short video about geometric properties to modern-day methods of solving for unknown angles. They discuss parallel line theorems and complete...
Mathematics Vision Project
Module 5: Modeling with Geometry
Solids come in many shapes and sizes. Using geometry, scholars create two-dimensional cross-sections of various three-dimensional objects. They develop the lesson further by finding the volume of solids. The module then shifts...
Curated OER
Geometry
In this geometry review game worksheet, students use the provided game cards and calling cards to play a Bingo-like game. Students learn geometric terms while playing a group game.
Curated OER
Geometry Standardized Test Practice
In this figures and graphs review learning exercise, 10th graders solve and complete 23 various types of problems that include identifying various figures and graphs. First, they name the transformation that maps the unshaded figure or...
Curated OER
Geometry: Basic Constructions
For this geometry worksheet, 10th graders use a straightedge and a compass to construct congruent segments and angles, bisect a segment and an angle, construct perpendicular and parallel lines, construct tangents, circumscribe a circle...
Curated OER
Angles in Circles
For this angles in circles worksheet, 10th graders solve 10 different problems that include tangents and chords and intersecting chords. First, they find x when given 2 intersecting chords. Then, students determine x given the diameter...
Curated OER
Concurrent Lines, Medians and Altitudes
In this geometry worksheet, learners construct angles and identify medians and altitudes. They use a compass and protractor to perform heir construction. There are 28 questions.
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Tangent
In this tangent worksheet, 10th graders solve 10 different problems that include various tangent lines. They find the value of x using the tangent of each given angle of various triangles illustrated. Then, students identify and define...
Curated OER
Sine
In this sine worksheet, 10th graders solve 10 different problems that include finding the sine in each figure shown. They determine the value of x in each situation. Then, students use the tangent line of the given angle to solve the...
Curated OER
Circumference of a Circle
In this circumference of a circle learning exercise, 10th graders solve 10 different problems that include various illustrations of circles. First, they multiply pi by the given diameter of the circle. Then, students determine the radius...
Curated OER
Geometric Proofs
In this geometric proof worksheet, students use geometric theorems and rules to prove given statements. They prove that given lines and angles are similar. This five-page worksheet contains ten problems.
Curated OER
Points, Lines, and Distance
Students calculate the distance between two points. In this geometry lesson, students define the meaning of the distance between parallel lines. They find the point of intersection of other lines.
Curated OER
Introduction to Fractals: Infinity, Self-Similarity and Recursion.
This instructional activity introduces young scholars to the ideas involved in understanding fractals. They develop a sense of infinity, self-similarity and recursion and
Curated OER
Standardized Geometry Test Practice
In this angles, lines and figures review instructional activity, 10th graders solve and complete 33 standardized multiple choice problems. First, they use the Segment Addition Postulate to solve for a variable given an equation for each...
Curated OER
Lines and Angles
Sixth graders explore lines and angles. They create visual representations of lines, rays and angles by drawing them on paper and using a geoboard. On paper, 6th graders write a summary of the characteristics of their representations.
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Archimedes
In this Archimedes worksheet, students complete and respond to 4 different problems related to different triangles. First, they find the midpoint of each side of a given triangle. Then, students connect the midpoints with the opposite...
EngageNY
How Do Dilations Map Lines, Rays, and Circles?
Applying a learned technique to a new type of problem is an important skill in mathematics. The lesson asks scholars to apply their understanding to analyze dilations of different figures. They make conjectures and conclusions to...
EngageNY
Special Lines in Triangles (part 2)
Medians, midsegments, altitudes, oh my! Pupils study the properties of the median of a triangle, initially examining a proof utilizing midsegments to determine the length ratio of a median. They then use the information to find missing...
Curated OER
Intersecting Lines and Segments of Measures
Mathematicians measure intersecting lines-and circles, and create chords. In this geometry lesson, young scholars explore interrior and exterior chords created by tangent and secant lines. These segments can be inside the circleor...
Curated OER
Line, Ray, Segment
Students define vocabulary words. In this geometry lesson, students identify the graph as a line, ray or segments. They understand the properties of each and calculate the distance on a number line.
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Perpendicular Bisector Theorem
High schoolers construct perpendicular bisectors using Cabri Jr. on their graphing calculator. They then construct conditional statements about perpendicular bisectors along with their converse, inverse, and contrapositive.
Curated OER
Exploring Harmonic Conjugates
High schoolers investigate harmonic conjugates using Cabri Software or the Ti Calculator to analyze harmonics. They explore different angles measurements as they move their circles around and solve problems.
Curated OER
Cosine
In this cosine worksheet, 10th graders solve 10 different problems that include various triangles. They determine the cosine of one point in each triangle illustrated. Then, they apply the line segments given to each and solve for the...