Concord Consortium
Short Pappus
It's all Greek to me. Scholars work a task that Greeks first formulated for an ancient math challenge. Provided with an angle and a point inside the angle, scholars develop conjectures about what is true about the shortest line segment...
Illustrative Mathematics
Equations of Lines
The intent of this resource is to show algebra learners that there is a proportional relationship between two lines that have an intersecting point. As the coordinate x increases by a constant, the y coordinate also increases. It will...
EngageNY
Secant Angle Theorem, Exterior Case
It doesn't matter whether secant lines intersect inside or outside the circle, right? Scholars extend concepts from the previous instructional activity to investigate angles created by secant lines that intersect at a point exterior to...
Illustrative Mathematics
The Intersection of Two Lines
Here is an introduction to solving simultaneous linear equations. Start by drawing a line through two points. Create a second line which goes through the intersecting point. Background knowledge of how to find the equation of a line and...
Mt. San Antonio Collage
Isosceles Triangles and Special Line Segments
Under which conditions can a triangle be classified as isosceles? High schoolers practice identifying isosceles triangles and special line segments, including angle bisectors, medians of triangles, and perpendicular bisectors of sides of...
Illustrative Mathematics
Cell Phone Plans
Turn your classroom into a local cell phone store. Then, have your cell phone agents use linear equations to visually display three cell plans and their advantages. It makes for a great group project. Discuss how to decide which plan is...
EngageNY
Equations for Lines Using Normal Segments
Describing a line using an algebraic equation is an essential skill in mathematics. The previous lesson in the series challenged learners to determine if segments are perpendicular with a formula. Now they use the formula to determine...
Flipped Math
Secants and Tangents
Put the vertex in, put the vertex out. Pupils explore theorems about the relationships of lengths of segments and angles of line segments that intersect inside or outside the circle. Learners use the theorems to solve problems involving...
Curated OER
Segment Exercises
In this segments activity, learners draw a figure for each problem where line segments intersect at a certain point and label each line and intersection. Students complete 3 problems total.
Curated OER
Parallel and Perpendicular Lines
Fourth graders create a dance with a partner that shows parallel and perpendicular lines. In this lines lesson plan, 4th graders create symmetrical designs and line pairs with their partner.
Curated OER
Parallelism in Our Everyday World: Parallel Lines and Beyond
Students broaden their outlook on geometry in their everyday environment. They explore the properties of parallel lines and parallelograms and discover ways to prove the existence of parallel lines and discuss the concept of parallel lines.
Illustrative Mathematics
The Circle and The Line
Here is a resource where algebra learners show their understanding of a system of equations involving a circle and a line. Once graphed, learners see two points of intersection, one where the ordered pair is read, and a second where...
Illustrative Mathematics
Proportional Relationships, Lines, and Linear Equations
The resource is a good introduction to what makes a proportional relationship between two lines. Discuss the similarities of both lines and the possibility of intersection. Use this opportunity to list other acceptable forms of each...
Curated OER
Worksheet 3.5 Simultaneous Equations
In this simultaneous equations worksheet, students solve and complete 7 various types of problems. First, they solve graphically the system of equations shown. Then, students find the number of solutions that each pairs of equations...
Curated OER
Lines and Line Segments
In this lines and line segments learning exercise, students solve 6 word problems where they identify lines and line segments, draw rectangles made of line segments, and define perpendicular and intersecting lines. The problems require...
Curated OER
Parallel and Perpendicular Lines
For this Algebra I/Algebra II/Geometry worksheet, students examine the slopes of parallel and perpendicular lines and the relationship to the equation of the line. The four page worksheet contains explanation of topic, worked examples,...
Curated OER
Points, Lines and Planes
In this points, lines, and planes worksheet, 10th graders solve and complete 18 different problems. First, they classify each of the statements listed as true or false. Then, students name the intersection of planes illustrated. They...
Curated OER
Parallel and Perpendicular Lines
Learners study parallel and perpendicular lines. For this parallel and perpendicular lesson, pupils explore 2-D shapes and determine if the sides are parallel or perpendicular.
Curated OER
Domain and Range
Relations, and functions, and line tests, oh my! An instructional slideshow demonstrates the definitions of a relation, a function, and the domain and range of a relation. Viewers then learn how to use mappings and vertical line tests to...
Curated OER
Introduction to Parallel Lines in Euclidean Space and in Spherical Space
Eighth graders are introduced to the basic concepts of Geometry and their definitions in Euclidean space. They draw and define the following terms: point, line, and line segment. Students also define the terms colliner and...
Curated OER
Hands On: Construct Parallel and Perpendicular Lines
For this parallel and perpendicular lines worksheet, students solve 6 word problems where they must construct parallel and perpendicular lines, or identify parallel and perpendicular lines in figures. Students must explain the steps used...
Curated OER
Lesson Plan One: Points, Lines, Rays
Fifth graders explore basic geometric terms. Pupils draw a physical picture of a scene that illustrates at least five geometric terms. Partners exchange drawings and locate the illustration of geometric terms in the drawing.
Curated OER
Math A Regents Questions: Points on a Line
In this linear equations worksheet, young scholars solve 3 multiple choice problems. Students determine if a given point lies on a line given an equation of that line.
Curated OER
Geometry Lesson 7: Line Segments And Angles
Fourth graders examine and identify line segments and angles using dot paper to draw them. They look at vertical, horizontal, intersecting, parallel and perpendicular lines, draw right angles and angles that are greater than and less...