Lesson Plan
EngageNY

Parallel and Perpendicular Lines

For Students 9th - 12th Standards
Use what you know about parallel and perpendicular lines to write equations! Learners take an equation of a line and write an equation of a line that is parallel or perpendicular using slope criteria. They then solve problems to...
Lesson Plan
Curated OER

Parallel and Perpendicular Lines

For Teachers 10th
Tenth graders explore parallel and perpendicular lines.  In this geometry lesson, 10th graders investigate the relationships associated with parallel lines and transversals, perpendicular lines, and the angles formed by these...
Lesson Plan
Curated OER

Investigating the Slopes of Parallel and Perpendicular Lines

For Teachers 9th - 12th Standards
High schoolers investigate parallel and perpendicular lines. They use Cabri Jr. to construct and explore the relationships between the slopes of parallel and perpendicular lines. The drawing and measurement tools available with Cabri Jr....
Lesson Plan
EngageNY

Criterion for Perpendicularity

For Students 9th - 12th Standards
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...
Lesson Plan
EngageNY

Motion Along a Line – Search Robots Again

For Students 9th - 12th Standards
We can mathematically model the path of a robot. Learners use parametric equations to find the location of a robot at a given time. They compare the paths of multiple robots looking for parallel and perpendicular relationships and...
Lesson Plan
Curated OER

Perpendicular Lines

For Teachers 9th - 10th
Learners differentiate between parallel and perpendicular lines. For this geometry lesson, students identify the different angles created by perpendicular lines and parallel lines. They name the angles that are form when parallel lines...
Lesson Plan
EngageNY

The Distance from a Point to a Line

For Students 9th - 12th Standards
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...
Lesson Plan
EngageNY

Equations for Tangent Lines to Circles

For Teachers 9th - 12th Standards
Don't go off on a tangent while writing equations of tangent lines! Scholars determine the equations for tangent lines to circles. They attempt both concrete and abstract examples, such as a tangent line to the unit circle through...
Lesson Plan
EngageNY

Designing a Search Robot to Find a Beacon

For Students 9th - 12th Standards
Build right angles using coordinate geometry! Pupils explore the concept of slope related to perpendicular lines by examining 90-degree rotations of right triangles. Learners determine the slope of the hypotenuse becomes the opposite...
Lesson Plan
Curated OER

Making Parallel Lines

For Teachers 8th - 10th
Students differentiate between parallel and perpendicular lines. In this geometry lesson, students make conjectures and apply it to solve real life situations. They collect data and make predictions based on the data.
Lesson Plan
Curated OER

Pyramid Activity

For Teachers 8th - 12th Standards
Pupils explore the concept of pyramids. They determine if two sides of a pyramid are perpendicular using a graphing calculator, then discuss parallel and perpendicular lines and how to determine if two lines are parallel or...
Lesson Plan
Texas Instruments

Drawing a Line Tangent to a Circle

For Teachers 9th - 12th Standards
Explore lines tangent to a circle. In this math instructional activity, students manipulate circles and lines on a TI calculator. They draw a circle  and analyze perpendicular lines intersecting the circle in only one place. This...
Lesson Plan
EngageNY

Characterize Points on a Perpendicular Bisector

For Students 9th - 10th Standards
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...
Lesson Plan
Curated OER

Sample Lesson Plan on Lines and Angles

For Teachers 3rd - 5th
Student complete worksheet using the definitions of lines and angle vocabulary. They define the word and follow a direction given on the worksheet such "construct a line." They complete an online tutorial on how to measure angles using a...
Lesson Plan
Curated OER

Exploring the Slopes of Parallel and Perpendicular Lines

For Teachers 8th - 10th
Students calculate the slope of parallel and perpendicular lines.In this algebra lesson, students differentiate between parallel and perpendicular lines. They graph their lines using the slope of the equation.
Lesson Plan
Curated OER

Perpendicular Lines in the Coordinate Plane

For Teachers 10th - 11th
Students investigate the relationship between perpendicular and parallel lines on a coordinate plane. In this geometry activity, students differentiate lines based on their slopes.
Lesson Plan
Curated OER

Perpendicular Bisector of a Line Segment

For Teachers 9th - 12th Standards
High Schoolers investigate the perpendicular bisector of a line segment. They use Cabri Jr. to construct the perpendicular bisector of a segment. The dynamics capabilities of Cabri Jr. allow your learners to observe the lengths of the...
Lesson Plan
Curated OER

Perpendicular Bisector Theorem

For Teachers 9th - 12th Standards
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.
Lesson Plan
Texas Instruments

Points, Lines, and Planes

For Teachers 9th - 12th Standards
Students solve problems dealing with points, lines and planes. In this geometry lesson, students differentiate between parallel lines and planes. They find the intersection of lines and planes.
Lesson Plan
Curated OER

Exploring the Slopes of Parallel and Perpendicular Lines.

For Teachers 8th - 10th
Students find the slopes for perpendicular and parallel lines. In this geometry lesson, students differentiate between parallel and perpendicular lines. They use Cabri software to create lines to compare.
Lesson Plan
EngageNY

Segments That Meet at Right Angles

For Teachers 9th - 12th Standards
Can segments be considered perpendicular if they don't intersect? Learners look at nonintersecting segments on the coordinate plane and make conclusions about the lines that contain those segments. They determine if they are...
Activity
Illustrative Mathematics

Find the Missing Angle

For Teachers 7th - 9th Standards
This one activity requires young geometers to pull together information they are currently learning with things they have learned previously. Here they rely on understanding something about parallel lines, alternative interior angles,...
Lesson Plan
Curated OER

Constructing Perpendiculars

For Teachers 9th - 10th
Students construct perpendicular lines. In this geometry lesson, students use a compass and straight edge to do construction. They start from a point to a line.
Lesson Plan
Curated OER

Perpendicular Segments in a Circle

For Teachers 9th - 12th Standards
High schoolers explore the concept of circles as they construct a circle using a program such as Cabri Jr. Learners construct a chord and a diameter that are perpendicular, then measure the bisected chord and notice that both sides of...