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...

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...

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...

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...

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...

Do pilots create appropriate spacing between aircraft by traveling a longer or shorter path? An interactive presents two airplanes that violate safety protocols. Pupils must determine how to change the path of one plane to create...

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...

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...

Introduce drawing learners to perspective with a series of lesson that detail how to draft images in one-, two-, and three-point perspective. Each exercise includes step-by-step, illustrated directions and examples.

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...

Combine algebraic and geometric strategies to find solutions. The task asks learners to find the coordinates of a third vertex of a triangle to create a triangle with a specific area. The project is a set of seven problems that...

Predict the year that college costs will double in your state using linear modeling. The first part of this two-part project based learning activity asks young mathematicians to use data from the College Board. They graph the data,...

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.

What do you do to change arrival times of airplanes when a different route is not available? The fifth interactive in a series of six presents problems where pupils must find solutions to conflicts of safety rules. They must decide how...

Keep the planes from crashing. Pupils work with three airplanes and change their flight paths to keep them at a safe distance from each other. Individuals work through three problems in the third interactive in a set of six with...

Learners separate things that just appear similar from those that are actually similar. A diagram of triangles is given, and then a variety of geometric characteristics changed and the similarity of the triangles analyzed. Because the...

Triangle centers and the segments that create them easily become an exercise in memorization, without the help of engaging applications like this lesson. Here the class investigates the measure of center that is equidistant to the three...

This is an interesting geometry problem. Given the figure, find the area of a triangle that is created by the intersecting lines. The solution requires one to use what he/she knows about coordinate geometry, as well as triangle...

A instructional activity involving mapping, the use of a compass, writing and following directions, and exploring the first two themes of geography is here for you. Learners create original maps that show the routes they take through...

Use the handout as guided or independent practice in drawing a reflection of a rectangle over a line. Three rectangles are provided for practice in addition to a critical thinking question.

Learners see application of construction techniques in a short but sophisticated problem. Combining the properties of inscribed triangles with tangent lines and radii makes a nice bridge between units, a way of using...

Your learners find and construct the line of reflection between a triangle's pre-image and its reflection image in this short activity.

Determining the number of solutions is an important stepping stone to higher math. In this case, the resource asks algebra pupils to find a second linear equation for a certain solution of a system. When one is asked for a linear...

Get three planes to line up safely. Individuals work through a set of problems to eliminate spacing conflicts between three airplanes in flight. The pupils use their knowledge to change the airplanes' speed or route to meet a...