Find Pythagorean Triples like the ancient Babylonians. The resource presents the concept of Pythagorean Triples. It provides the system of equations the Babylonians used to calculate Pythagorean Triples more than 4,000 years ago. Pupils...

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...

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...

Here is a coin problem where the algebra learner determines the pair of linear equations needed to solve the system. Whether the equations are taken from a table, or your scholars recognize the format of a coin problem, it is an...

Eat up the task on systems of equations. Given information on the total number of sandwiches and the total income, learners write and solve a linear system of equations to find the number of each type of sandwich sold at a shop. They...

Wait, let's start over — teach your class how to return to the beginning. The first lesson looking at inverse matrices introduces the concept of being able to undo a matrix transformation. Learners work with matrices with a determinant...

Writing a general rule to model a specific pattern is a high-level skill. Your classes practice the important skill as they write rules describing the solutions to a system of equations with variable coefficients. As an added challenge,...

Viewers discover how to solve quadratic-linear systems with a video that first explains the substitution method for solving a system of equations involving a quadratic. Scholars then complete a worksheet of practice problems.

Good graphs make solving systems simpler. Pupils answer 18 questions shown in a PowerPoint presentation as part of the Claim 1 Item Slide Show series. By considering these questions, they review the concepts of graphing equations 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...

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...

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...

What do your young geniuses really know? Assess the procedural knowledge of your pupils at the same time as their higher-level thinking with an assessment that identifies their depth of knowledge. Topics include solving...

Drawing from a scenario of the history of the penny, learners write and solve a system of linear equations from a context.

Use several skills to solve word problems leading to systems of equations. Scholars define variables and write equations to model situations described within word problems. Pupils solve the resulting system of linear equations using...

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...

What an impressive task it is to make dental impressions! Pupils learn how dentists use proportional reasoning, unit conversions, and systems of equations to estimate the materials needed to make stone models of dental impressions....

Up the difficulty level by solving a system of equations with variable coefficients. Young scholars devise a plan to solve for x and y in terms of a and b. They represent their solutions as expressions and explain their...

Ever wonder how a butcher creates the different types of ground beef? Young mathematicians explore the methods butchers use to create their desired ground beef quality. Given a combination of two types of meat with varying...

The solution resides at the intersection. Pupils use a short instructional activity to review the process of solving a system of linear equations using graphing. The instructional activity provides completed graphs for most of the items,...

Everyone wants the best price when shopping — no matter what they are trying to buy. Given pricing information, pupils must solve a system of equations to determine the best option for printing tickets.

Round and round and round we go. Given a diagram of three circles, two of which share a point with the third circle, learners identify the radius of each circle. Doing so requires setting up and solving a system of equations based on the...

The process of elimination really works! Use elimination when substitution isn't doing the job. The 29th segment in a series of 33 introduces the elimination method to solving linear systems. Pupils work several exercises to grasp the...

As a middle school assessment task, learners first two write equations representing their purchase of chips and candy bars. They then solve the system of equations to find the price of each item.