CK-12 Foundation
Distance Between Two Points: Segment Addition
Examine the segment addition postulate through an online simulation activity. An interactive lesson allows scholars to manipulate points and watch as the lengths of segments change. Through their study, they are able to apply the Segment...
CK-12 Foundation
Distance Between Two Points: Biking the Blocks
Distance estimates would be easy if the world were a grid. Scholars work to determine the distance between two structures using a coordinate plane. As an introduction, the lesson focuses on vertical and horizontal distances.
CK-12 Foundation
Distance Between Two Points: Taxicab Distance
Apply geometry to find the distance as the crow flies. An engaging lesson compares the distance a car must drive to the straight line distance between two locations. Scholars must manipulate a simulation, note the change in distances,...
EngageNY
Distance and Complex Numbers 2
Classmates apply midpoint concepts by leapfrogging around the complex plane. The 12th lesson in a 32 segment unit, asks pupils to apply distances and midpoints in relationship to two complex numbers. The class develops a formula to find...
EngageNY
The Distance from a Point to a Line
What is the fastest way to get from point A to line l? A straight perpendicular line! Learners use what they have learned in the previous lessons in this series and develop a formula for finding the shortest distance from...
Curated OER
Segment and Distance
Learners explore the definitions of segment and distance. They perform hands-on activities to form a segment and examine distance. Following teacher guidance, they construct congruent line segments. Independently, they find the...
CK-12 Foundation
Midpoint and Segment Bisectors: Midpoint Map
Discover how to find a midpoint with a conceptual exploration. Scholars manipulate a point to determine the location of a midpoint on a straight line distance between two locations. Later questions extend to determine the...
Curated OER
Distance Formula
Students calculate the distance between two points using the distance formula. In this geometry lesson, students derive the distance formula using the Pythagorean Theorem.
Curated OER
Complex Distance
Have learners graph complex numbers to gain a visual and mathematical understanding of the distance and the midpoint between two complex numbers. This lesson is short, but to the point, and addresses an important complex number...
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.
Concord Consortium
In Oz We Tryst
The shortest distance from point A to point B is a straight line, but measuring distance gets more complicated when there are three points! Given the location of three friends, individuals determine the best point for all three friends...
Curated OER
Line, Ray, Segment
Students define vocabulary words. In this geometry instructional activity, students identify the graph as a line, ray or segments. They understand the properties of each and calculate the distance on a number line.
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.
Concord Consortium
Detective Stories
The truth will always come out. A short performance task has learners considering a witness statement given to a detective. They apply special line segments in triangles and Ceva's Theorem to prove that the witness is actually lying.
Curated OER
Investigating Segments in a Right Triangle
High schoolers explore the concept of right triangles as they construct a right triangle using Cabri Jr. Learners find the midpoint of the hypotenuse and construct a line from the midpoint to the vertex of the right angle. They then...
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...
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
EngageNY
Searching a Region in the Plane
Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...
Curated OER
Distance and Functions
Students calculate the distance using the distance formula. In this geometry lesson, students identify the distance a taxi cab travels. They relate distance to functions and relate it to the real world.
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
Equations of Lines
Students classify lines, slopes and shapes. In this calculus lesson, students calculate the midpoint, segment and equation of a circle. They also review what a slope and angle of inclination is.
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
Lines That Pass Through Regions
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third lesson in the series. Pupils explore linear equations and describe the points of intersection with a given polygon as...
Curated OER
Distance in Coordinate Geometry
Young scholars analyze distance and graphing. In this geometry lesson, students work problems on a coordinate grid calculating the distance. They apply the Pythagorean Theorem to their data and answer.