Create a linear equation for a problem when the intercept information is not given. The two-day lesson introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...

This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...

Learners analyze the difference between the slope intercept and standard forms of a line in this task. Given two general points using letters they explore linear functions and linear equations.

An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas...

What if a coordinate plane becomes a slope-intercept plane? What does the graph of a linear function look like? Learners explore these questions by graphing the y-intercept of a linear equation as a function of its slope. The result is a...

Young geometers develop one of the fundamental properties of quadrilaterals (connecting side midpoints gives a parallelogram) in this short but thought-provoking exercise. Using a combination of hands-on techniques and abstract algebraic...

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...

Prompt scholars to complete a magic square using only variables. Then they can attempt to solve a numerical magic square using algebra. 

Number towers use addition or multiplication to ensure each level is equal. While this is common in factoring, it is often not used with algebraic equations. Solving these six questions relies on problem solving skills and being able to...

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...

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...

Write equations in point-slope form given two pairs of values, and convert the equation into slope-intercept form. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Practice finding the equation of a line passing through two points. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

In this exercise, students practice determining the linear equation and slope from two points on a line graph. Students receive immediate feedback and have the opportunity to watch a video, get hints, or try questions repeatedly.

In this exercise, students practice constructing the linear equation given two points on a line graph. Students receive immediate feedback and have the opportunity to watch a video, get hints, or try questions repeatedly.