An intersection is more than just the point where lines intersect; explain this and the meaning of the intersection to your class. The 26th segment in a 33-part series uses graphing to solve systems of equations. Pupils graph linear...

You say that perpendicular bisectors intersect at a point? I concur! Learners investigate points of concurrencies, specifically, circumcenters and incenters, by constructing perpendicular and angle bisectors of various triangles.

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...

Middle and high schoolers explore the concept of linear modelling.  In this linear modelling lesson, pupils find the line of best fit for life expectancy data of Canadians. They compare life expectancies of men and women, and find...

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...

Students factor and solve systems of equation. In this algebra activity, students identify the point of intersection using substitution, elimination and graphing. They write an equation given a system and a graph.

Your geometry learners will discover and show the construction of the circumcenter of a triangle. Guided by the steps in the activity, they construct perpendicular bisectors of each side that have a point of concurrency called the...

Learners examine the properties of quadrilaterals from the point of view of rigid motion. Different types of quadrilaterals are characterized by their symmetries, so learners explore the symmetries of a described quadrilateral to...

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.

Learners graph systems of equation. In this calculus lesson, students graph their lines on a TI calculator. They identify the point of intersection and the type of solution.

Systems of parallel lines have no solution. Pupils work examples to discover that lines with the same slope and different y-intercepts are parallel. The 27th segment of 33 uses this discovery to develop a proof, and the class determines...

This lesson is all about systems of equations and their graphs. Algebra learners create and solve systems of equation using tables and graphing. They identify the point of intersection of a system of equation, and discover what the...

The class solves systems of linear inequalities. They graph lines and identify the point of intersection.They graph lines and identify the boundary that represent the solution and solution set.

Explore methods for solving linear systems with your classes and introduce learners to using matrices as a viable method. Scholars are able to recognize situations where matrices are the efficient method of solving. Application...

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...

Learners explore the concept of solving systems of equations. In this solving systems of equations lesson, students watch YouTube videos about how to solve systems by graphing and by elimination. Learners use an interactive website to...

Eleventh graders solve systems of equation. In this algebra instructional activity, 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...

Learners find the common point of a linear and quadratic system given a graph of the system. Then they find a specific point located only on the parabola.

Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...

What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods. 

High schoolers calculate the distance between two points. In this geometry lesson plan, students define the meaning of the distance between parallel lines. They find the point of intersection of other lines.

Students solve systems of equations.  In this solving systems of equations lesson, students look for the intersection of the two lines in the system.  Students solve systems that have one solution, no solution, and infinite...

Prove theorems through an analysis. Learners find the midpoint of each side of a triangle, draw the medians, and find the centroid. They then examine the location of the centroid on each median discovering there is a 1:2 relationship....

What type of quadrilateral is that? Discover the difference between the types of quadrilaterals. Small groups investigate types of quadrilaterals using geometry software to find their properties. To keep track of the different...