What's so special about slope? Pupils first match cards with slope and y-intercept to graphs of linear equations. They continue the lesson by matching equations in slope-intercept form to the same graphs.

Learners first determine the slope-intercept and standard forms of inequalities given graphs, and then determine key features of the graphs.

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,...

The last segment of the nine-part unit makes a connection between springs and linear equations. Groups hang weights from the spring and measure its length. Then, using the data collected, they calculate the slope to find the k-value...

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...

Who knew quilting would be so mathematical? Introduce linear equations and graphing while working with the lines of pre-designed quilts. Use the parts of the design to calculate the slope of the linear segments. The project...

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...

Here's a resource that models rising water levels with a linear function. The task contains three parts about the level of water in a cylinder in relationship to the number of golf balls placed in it. Class members analyze the data and...

Tell the story of the math. Given a graph of a linear system, learners write a story that models the graph before crafting the corresponding functions. Graphs intersect at an estimated point, allowing for different variations in the...

Geometric volume calculations are brought into the real world in a quick set of application problems. Learners are asked to help a patient figure out how to drink a prescribed amount of water both at work and at home. This activity...

For this secondary mathematics learning exercise, high schoolers collect data based on a person’s motion. From this data, high schoolers create graphs comparing displacement, velocity, and acceleration to time. The five-page learning...

Students will connect the centers of snowflakes with a line preferably by applying the point-slope formula.

In this activity, students investigate slope and how it can be explained as a ratio of change between the vertical and horizontal coordinates.

Students learn to develop the equation of a line from its graph. They also learn to write the equation of a line from the slope and the y-intercept, a point and the slope, and two points. They also investigate slopes of lines that are...

Students learn to associate the slope of a straight line with a constant rate of change. They also learn to calculate the rate of change from data points on a line, using the correct units. Students also learn to read from a linear...

In this activity, students create a slope triangle and understand the concepts of slope and the equation of lines. They realize that slope is constant at all points along a fixed line. They also explore the slopes of parallel and...

This site contains a short tutorial on point-slope, slope-intercept, and general form of linear equations. The site has an interactive graph of lines showing how the graph of a line changes when values of the linear equation change.

Based off of the hit television show NUMB3RS, this lesson deals with lattice points, and the visibility of lattice points from other lattice points. The lesson is framed in the context of a leader and his audience, in which every member...

A two-part activity that uses a CBR to develop the notion of slope and y-intercept through various walking activities. Part A develops a general notion of how changes in walking are reflected in various graphical representations. Part B...

Students will identify x- and y-intercepts graphically. Students will calculate the slope between 2 points. Students will write the equation of a line in slope-intercept form when given the graph of the line.

Students will generate data on the CBL 2 to represent a linear function. They will investigate the slope of a direct variation. Then they will use different starting points to represent y intercept.

In this activity, students explore the equations of lines written in the form: y = mx + b. They move points defining the lines, and view the related changes in the parameters of the equations.

Using the LEGO MINDSTORMS NXT kit, students construct experiments to measure the time it takes a free falling body to travel a specified distance. Students use the touch sensor, rotational sensor, and the NXT brick to measure the time of...

This lab demonstrates Hooke's Law with the use of springs and masses. Students attempt to determine the proportionality constant, or k-value, for a spring. They do this by calculating the change in length of the spring as different...