Linear equations are all about form. The fifth part in a unit of nine works with the different equivalent forms of linear equations. Class members become familiar with each form by identifying key aspects, graphing, and converting...

Students explore how to graph a linear inequality. They determine if a point is in the solution set. Students solve linear inquality application problems. They graph linear equations, and solve linear equations for a given variable.

Students explore parabolas.  In this algebra and technology lesson, students construct the equation of a specific parabola, then take digital photos of real-life representations of these parabolas.  Students create a podcast...

Slopes are not just for skiing. Instructors introduce class members to the concept of slope and teach them how to calculate the slope from a graph or from points. The lesson also includes the discussion of slopes of parallel and...

It's not so straightforward — lines can model a variety of applications. Pupils experience linear relationships within the context of science, including Hooke's and Ohm's Laws. Class members got a taste of motion and speed from the...

Scientists need to have mastered algebraic slope-intercept concepts in order for this lesson to be effective. They will measure and graph solar panel output as a function of the amount of radiation striking it, discovering that there is...

Objects may be more linear than they appear. Scholars investigate the relationship between the number of bone mineral density scanners in the US and time. Once they take the natural logarithm of the number of scanners, a linear...

It is not always easy to walk the straight and narrow. In the sixth portion of a nine-part unit, groups actively recreate a graph depicting motion. Individuals walk toward or away from a motion detector while trying to match a given...

Middle and high schoolers use a spreadsheet to graph data. In this graphing lesson, learners determine how two parameters are correlated. They create a scatter plot graph using a computer spreadsheet.

Class members connect engineering with an understanding of linear programming using a technical resource. Scholars learn about linear programming (linear optimization) and how it applies to engineering design in the first of two modules....

Students imagine that they own a sneaker company. They are asked how they would know if their company made a profit. Students determine the number of sneakers of each type they need to sell in order to "break even." They are asked how...

Some things are hard to resist. Small collaborative groups build circuits and calculate the voltage using Ohm's Law. Budding engineers explore the connection between the voltage across different resistors and linear...

Students graph a linear inequality and describe its solution set. They solve a system of linear equalities graphically and symbolically. Students set up and solve a system of linear inequalities using linear programming techniques. ...

Design and build a rover ... then eat it? This activity has groups of two design and build Mars rovers. The teams determine what instruments they want to include with their rover and plan a budget. They calculate the cost of the body of...

A research position becomes a modeling job. The introductory lesson in a series of nine presents the challenge of analyzing a set of bivariate data. The class brainstorms what the data may represent. Pupils must decide what is needed to...

Young scholars analyze graphs to determine relationships between variables and rates of change. They determine the basic concepts about static reaction forces. They determine the slope and equation of a line.

Ideal for your electricity unit, especially with middle schoolers, this lesson plan gets engineers using multimeters in electrical circuits to explore the relationships among voltage, current, and resistance. Older learners may even plot...

Provide a Hooke for a lesson on elasticity with an activity that has groups investigate a set of springs. They use a set procedure to collect data to calculate the spring constant for each spring using Hooke's Law. The groups...

The plot thickens to get a functional understanding. After a short review of plotting points on the coordinate plane, class members learn the difference between functions and relations in the second instructional activity in a...

Physics stars design mobiles that demonstrate rotational equilibrium. They take measurements and solve related equations for force by graphing, substitution, or determinants. This is a well-developed lesson plan, complete with student...

Young scholars graph and analyze data using a spreadsheet.

Students practice graphing quadratic equations to find the vertex of quadratic functions. They determine if the graph opens upward or downward as well as convert quadratic equations to vertex form from polynomial form. A lab version is...

Pupils program a TI-Basic calculator. In this calculator programming lesson, students explore how to create and graph a linear equation. Pupils study how to input variables into the function and read the graph output.

Small groups use rubber bands to accelerate an Android device along a track of books. They collect the acceleration data and analyze it in order to determine the device's velocity.