Curated OER
Joseph Stella Art: Line Designs
Students discover the focal point in pictures and create their own images using lines and space. In this art analysis lesson, students create a black dot on a white paper which becomes a focal point for the lines the student will paint...
EngageNY
Characterize Points on a Perpendicular Bisector
Learn transformations through constructions! Pupils use perpendicular bisectors to understand the movement of a reflection and rotation. They discover that the perpendicular bisector(s) determine the line of reflection and the center of...
EngageNY
Lines That Pass Through Regions
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third activity in the series. Pupils explore linear equations and describe the points of intersection with a given polygon...
Curated OER
Shortest Distance Between Points and Lines
Learners use technology to determine the shortest between two points in a plane. They are required to support their analytic explanations with visual illustrations.
Curated OER
Line Construction
In this geometry worksheet, students construct perpendicular and parallel lines through a given points using a straightedge and a compass. There are 5 questions with an answer key.
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.
EngageNY
Properties of Tangents
You know about the tangent function, but what are tangent lines to a circle? Learners investigate properties of tangents through constructions. They determine that tangents are perpendicular to the radius at the point of tangency, and...
EngageNY
Criterion for Perpendicularity
The Pythagorean Theorem is a geometry pupil's best friend! Learners explain the equation a1b1 + a2b2 = 0 for perpendicular segments using the Pythagorean Theorem. They are able to identify perpendicular segments using their endpoints and...
EngageNY
Finding One Hundred Percent Given Another Percent
Class members solve problems to find the whole when given a percent. They use double line numbers and factors of hundred to help break the 100 percent into equal segments.
Curated OER
Intersecting Lines and Segments of Measures
Mathematicians measure intersecting lines-and circles, and create chords. In this geometry instructional activity, students explore interrior and exterior chords created by tangent and secant lines. These segments can be inside the...
Curated OER
Finding the Distance and Midpoint of a Line Segment
Students use the Pythagorean formula to find the length of a line. Afterward, they explore the midpoint formula to determine the midpoint of a line with a non-zero slope on a coordinate plane. Students complete assigned problems and...
Curated OER
Line, Ray, Segment
Young scholars 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.
Texas Instruments
Exploring Tangents
Explore the concept of tangent lines. In this tangent line lesson, learners graph a circle and two lines on their graphing calculator using Cabri Jr. Students construct the lines so that they both intersect at a given point and are both...
Curated OER
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
Basic Geometric Constructions
Pupils 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...
Curated OER
The Distance and Midpoint Formula
In this college level mathematics worksheet, students solve use the Pythagorean Theorem to find the missing side of a right triangle and explore the connection between the Pythagorean Theorem and the distance formula. Students also...
EngageNY
Distance and Complex Numbers 2
Classmates apply midpoint concepts by leapfrogging around the complex plane. The 12th instructional activity in a 32 segment unit, asks pupils to apply distances and midpoints in relationship to two complex numbers. The class develops a...
EngageNY
Unknown Angle Proofs—Proofs of Known Facts
Lead the class in a Greek history activity 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 practice...
Curated OER
Searching for Angles and Lines
Students work to find and reinforce concepts related to lines and angles. They identify the characteristics of shapes that have one, two, and three dimensions. The students also work on definitions related to the geometry of shapes.
English Enhanced Scope and Sequence
Blending and Segmenting Multisyllabic
Syl lab i ca tion. Kindergartners practice segmenting and blending multisyllabic words in an activity that asks them to repeat the process modeled by their teacher. The teacher slowly says the name of a classroom object, enunciating each...
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
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
Concurrent Lines in Triangles
Students explore the concept of concurrent lines in triangles. In this concurrent lines in triangles lesson, students work in groups to investigate properties of concurrent lines in acute, right, and obtuse triangles. Students use a...
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