Here's a great lesson that looks at slope as an instantaneous change. Using an estimated tangent line, the presenter shows the class how to find an approximation for the instantaneous rate of change. Scholars determine the slope of the...

Develop the basics of turns. A helpful video discusses the information required to perform a rotation. Afterward, the narrator shows pupils how to perform a rotation by using a piece of tracing paper to determine where the image will be...

It all adds up to one. Pupils solve several items that involve finding sums of fractions in relationship to a whole. The assessment task uses fractions with unlike denominators to determine the amount of a tank of gas and the amount of...

Use rectangles to find distances. Given a rectangle and three associated triangles, pupils determine the area of the triangles. Scholars know the three triangles have equal areas along with the perimeter of the rectangle and two other...

Watch the money grow daily. Scholars tackle a problem to determine how much money they will have if a dollar grows at 10 percent compounded daily after a month. Using that knowledge, learners notice the difference between varying savings...

It's time to get moving! The 13th lesson in a 14-part unit on electricity and magnetism explores the relationship between electricity and mechanical energy. Budding scientists build motors and experiment with different components to...

Pupils create budgets based upon family expenditures. They determine what the monthly payments will be for buying a car and a house based on compound interest for the total amount. 

Using technology, pupils find an exponential function to model the population growth of the US. With more information, learners derive the population growth formula for the world. Ultimately, they determine the amount of protein needed...

Pupils calculate the area of two rooms to re-floor. They research Lowe's and Home Depot to find the cost for different floor coverings. Given different promotions for the stores, individuals determine where to purchase the flooring based...

Fair use, intellectual property, public domain ... what does it all mean? Scholars act as judges to determine if different scenarios constitute fair use. They also advance their research skills by practicing paraphrasing and citing...

Swimming pools are no fun without water. For a pool in the shape of a trapezoidal prism, scholars first calculate the amount of water needed to fill the pool. They use experimental data on water flow to determine whether to haul water...

Finalize the plans before playing in the sand. Learners design sandcastles using geometric and composite figures. They create blueprints, including the scale, and three-dimensional models of their castles. Finally, scholars calculate the...

Scholars decide which job to take based on the pay. They then research cars to potentially purchase and determine the total cost of the car. Finally, they calculate how long they would have to work to purchase the car along with how much...

Middle schoolers look closely at Martin Luther King Jr's "I Have a Dream" speech and use a language analysis sheet to determine if King's sentences use active or passive voice. They then move their attention back to A Mighty Long Way to...

Slopes are everywhere—even in houses! Given a picture of a house, learners find lines with positive, negative, zero, and no slopes. Scholars determine the equation of the lines by calculating the slopes and y-intercepts. Class members...

How fast does it grow? Scholars work on two tasks dealing with exponential growth, one on population growth and the second on investments. Learners research a country's population over the past century and make predictions of the current...

Fine the normality of fall measurements. Pairs collect measurements of fall leaves and one other fall object. Using the measurements, the groups determine the descriptive statistics for the object and using the Empirical Rule, figure out...

Let the class color. The video shows two different types of fraction of shapes problems. Pupils learn to shade a given fraction of a shape along with determining the fraction of a shape that is shaded. Learners practice the skill with...

Stay composed while solving problems. Learners put their knowledge of compositions to solve problems. To connect with the concept, scholars compose equations to answer questions from real-world situations. Finally, pupils practice using...

There are specific constitutional requirements that candidates must meet to become president of the United States. In addition, there are societal opinions that affect a candidate's electability. Class members examine historical...

Build a place for the plants. Using information learned from the previous lesson in the unit, learners design a lunar plant growth chamber and build a paper model of it. Given strips of paper that represent different sizes of planting...

Let the energy blow. Using mostly easily found material such as PVC pipe and fans, pupils build wind turbines. Scholars connect a multimeter to an electric motor to determine the amount of energy generated by their designs. Learners then...

All you need is light. Groups use a reflectometer to find the reflectivity of specific chemical compounds. Learners compare the graphs of the reflectivity of the known compounds to Martian soil. Using the graph comparisons, scholars...

Correct a misleading conclusion. Individuals review a set of data and a conclusion to determine what is wrong with the conclusion. Pupils then represent the data with an appropriate display. Finally, learners develop a correct conclusion...