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...
Illustrative Mathematics
Two Lines
Here is a resource that helps your algebra learners understand the connection between the graph of two lines, the equations of lines, and the solutions and intersecting points of lines. It would make a great assessment question, but can...
PBS
Plotting Pairs of Coordinate Points in All Four Quadrants to Construct Lines
Your young graphers are motivated by watching three Cyberchase videos to plot points in all four quadrants, connect pairs of points to make a line segment, and find the point of intersection of two lines.
EngageNY
There is Only One Line Passing Through a Given Point with a Given Slope
Prove that an equation in slope-intercept form names only one line. At the beginning, the teacher leads the class through a proof that there is only one line passing through a given point with a given slope using contradiction. The 19th...
Illustrative Mathematics
Fixing the Furnace
This comprehensive resource applies simultaneous equations to a real-life problem. Though the commentary starts with a graph, some home consumers may choose to begin with a table. A graph does aid learners to visualize the shift of one...
Curated OER
Angles, Lines, and Transversals
Geometers identify and determine angle pair relationships when two parallel lines are intersected by a transversal. They review the concepts of angles by watching streaming video clips online, read definitions of lines and angles from...
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...
Illustrative Mathematics
Summer Swimming
Here is a real-world application for systems of equations. When is it better to pay an enrollment fee and lower daily rate, and when is it better to pay the regular price? The local swim center is having a special offer, reductions in...
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...
Curated OER
Identifying Linear Functions from Graphs
Keep your mathematicians engaged using this group linear functions activity. Each of ten groups receives two graphs with both an image and equation, as well as a "who has" phrase to call out the next graph. Scholars stay on their toes as...
Curated OER
Traveling aroud Our Town
Students are asked to describe to a partner how he or she walks to school or the bus stop. They are shown on the overhead an one-inch grid paper, and at the intersection of two lines on the grid paper, students are shown a house and...
Curated OER
Intersections, Unions, and Compound Inequalities
In this algebra worksheet, students graph inequalities on number lines. Two problems are written in interval notation. The other five problems require students to graph and then write in interval notation.
Curated OER
Call it "Macaroni"
Who knew there were so many fun educational opportunities featuring pasta? Scholars read a brief informational text about the history of pasta (note that "macaroni" is spelled two different ways, so address this if kids are reading...
Curated OER
Perpendicular Lines
In this perpendicular lines practice worksheet, young scholars find and list examples of perpendicular lines at home, at school, and outside.
Curated OER
2-D Geometry
Third graders describe and compare attributes of two-dimensional shapes. They explain geometric terms, angles and shapes. Students demonstrate each vocabulary word with their body and they mirror the body positions associated with each...
Curated OER
Angle Relationships
Tenth graders explore the angle relationships that exist when two lines intersect. In this geometry lesson, 10th graders estimate the measure of given angles and use their graphing calculator tools. Students use this knowledge to find...
EngageNY
Nature of Solutions of a System of Linear Equations
If at first you cannot graph, substitute. The lesson introduces the substitution method as a way to solve linear systems if the point of intersection is hard to determine from a graph. The 28th installment of a 33-part series finishes...
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
Parallel and Perpendicular Lines
Learners study parallel and perpendicular lines. In this parallel and perpendicular instructional activity, pupils explore 2-D shapes and determine if the sides are parallel or perpendicular.
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
Practice solving systems of equations
Eleventh graders solve systems of equation. In this algebra lesson, 11th graders find the point of intersection of two lines if there is any, using algebra and graphing. They use substitution and linear combination to find the solution...
Curated OER
Points of Intersection
Students solve systems of equations. In this solving systems of equations instructional activity, students look for the intersection of the two lines in the system. Students solve systems that have one solution, no solution, and...
Ohio Department of Education
I Can Name that Angle in One Measure! - Grade Eight
Collaborative groups work with geometry manipulatives to investigate conjectures about angles. They create a graphic organizer to use in summarizing relationships among angles in intersecting, perpendicular and parallel lines cut by a...
Curated OER
Conjectures For Intersecting Circles
Students identify properties of circles. In this geometry lesson, students identify the center of two intersecting circles.They use Cabri software to create circles and move it around to make observation.