Math wizards rewrite pairs of linear equations in the y-intercept form and graph them on a coordinate plane. They identify where the lines cross, i.e. the point of intersection. There are four questions with coordinate planes for drawing...

Middle and high schoolers graph two lines and identify the point of intersection of each set of line. They use the TI calculator to help them graph and solve. There are six questions with detailed instruction on how to graph correctly.

Eighth and ninth graders solve five different problems that include solving two equations. They determine the point of intersection in each of the five pairs of equations given. Pupils define point of intersection as the point where two...

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...

With 30 problems, each accompanied by a blank graph, pupils get thorough practice solving systems of equations by graphing and finding the point of intersection. Answers are provided in coordinate form.

In this graphs and equations worksheet, students solve and complete 5 various types of problems. First, they complete a table of values for a given quadratic function. Then, students use the graph to find an estimate for the solutions of...

If at first you cannot graph, substitute. The lesson plan 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...

Two example problems are solved on the first page using the elimination method with a pair of linear equations. Detailed explanations accompany the math. The second page provides 20 practice problems and their answers. This would be a...

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...

There are parent functions, and then there are parent functions with a really interesting way to explore them. High schoolers are asked to graph different combinations of parent functions together and determine the point of...

A short video shows how to find the shortest distance between a line and a point on the coordinate plane. Using the fact the shortest distance is the perpendicular, the presenter shows the class how to find the intersection of the two...

More than just a worksheet, the resource provides a thorough guide to navigate through the land of parallelograms. Filled with definitions and theorems, the resource supports learners through problems such as proofs and finding missing...

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...

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...

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...

This worksheet and tutorial explores solving more complex polynomials by graphing each side separately and finding the point of intersection, identifying the sum and differences of cubes, and solving higher degree polynomials by using...

The slope makes a difference. Given an equation of a circle and point, scholars determine the relationship of the slope of a line through the point and the number of intersections with the circle. After graphing the relationship, pupils...

Investigate linear quadratic systems and pose this question: Do all linear quadratic systems have two solutions? Do they all have a solution? Learners solve systems of equations through graphing. They indicate the points of intersection...

This activity consists of three exercises in which learners sketch the graphs of various power functions on the same axes. They use their sketches to make comparisons and observations which lead to generalizations about the graphs...

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...

Keep young mathematicians on point with this coordinate plane worksheet. From plotting ordered pairs to identifying the quadrant and coordinates of specific points, this resource covers all the basic skills students need to have...

It's time to show off what they learned! The final lesson in the series is a review worksheet on the topics learned throughout the unit. Scholars solve systems of equations using graphic and algebraic methods, solve system-based word...

What? The calculation of area is a linear distance? A short video shows how to use the areas of simple polygons to estimate the area under a graph. Pupils divide the area under a curve into figures to easier calculate the area. Given...

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....