What if I can no longer justify area by counting squares? Lead a class discussion to find the area of a rectangular region with irrational side lengths. The class continues on with the idea of lower approximations and...

Develop a definition of irrational numbers through an exploration of square roots. The 11th lesson in this series of 25 asks scholars to estimate the value of a square root. Learners observe as the estimation extends further and further...

Middle and high schoolers investigate all the different places in math that square root is present. In this geometry lesson, pupils discuss square roots as it relates to a right triangle and construction. They go over altitude, rise,...

An 80-page resource provides four lessons and all associated worksheets to teach middle schoolers about expressions and equations. The lessons are hands-on, using games, "integer chips," a balance and cubes, and cut and paste activities....

If Microsoft wanted to take over Apple, how many shares would they need to break even? This is an ideal task for seventh graders who are studying proportional relationships and applying them to real-world scenarios. Use it as an...

Pupils design a fence for a backyard pool. Scholars develop a fence design based on given constraints, determine the amount of material they need, and calculate the cost of the project. 

Scaling needs to be picture perfect. Pupils use proportional reasoning to find the missing dimension of a photo. Class members determine the sizes of paper needed for two configurations of pictures in the short assessment task.

Using the concept of a candy vending machine, young mathematicians explore the sugar ratios found in different types of candy. Using the provided information, class members calculate and compare different ratios in...

Use tree diagrams with multiple branches to calculate the probabilities of compound events. Pupils use tree diagrams to find the sample space for probability problems and use them to determine the probability of compound events in the...

Solving these percent problems is a matter of counting. Pupils find percents by counting the number of events that meet the criteria and the total number of possibilities. Participants create the ratio and convert it to a percent to...

This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...

Provide a real world context in which exponential functions are used to determine a eal world phenomena such as compound interest and exponential growth. This lesson should be taught after students have mastered the laws of exponents and...

In order to create some tasty fudge, learners must adapt a recipe. Using a recipe for fudge, ingredients must be correctly converted using fractions. If one fraction is incorrect, the fudge will reveal it! Although you will only make one...

Scholars view the video, "Donald Duck in Mathmagic Land," and discuss examples in nature which have proportions of the golden ratio. They measure and record different body lengths from a worksheet and convert the ratios to equivalent...

Use this lesson plan to discuss inventions that have changed your class's world and have impacted society. Middle schoolers investigate important inventions of their time and design an invention in a simulated business atmosphere. Modify...

Your statisticians examine the characteristics of conditional probability and the probability of simultaneous independent events. They perform computer activities to find probabilities for simple compound events. They examine the...

There is more than one way to measure an amount, as learners discover by applying multiple measurement tools in these activities. Centimeter cubes, cylinders, beakers, and measuring cups are used to find the volume of regular and...

Students use optimization concepts to design their own container. In this optimization lesson plan, students understand how the optimization concept is critical in calculus and why products are packaged the way they are.

Looking for an estimation activity a bit more involved than the typical "guess the number of jellybeans in the jar" game? Here, learners use a picture to estimate the number of people at a large event, look for potential problems with...

Multiplying fractions by whole numbers is the focus of the math instructional activity presented here. There are three activities outlined in the instructional activity along with a nifty game learners play on the computer that...

Looking for a real-world situation to practice converting units? In this problem, learners must change miles per gallon to liters per km (or vice versa) to determine which car gets better gas miileage. It is a relatively short problem,...

What is the probability that two randomly seated people will be across from each other at a square table? Check learners' understanding of theoretical probability and compound events with this short assessment. A great opportunity to...

Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...

Your learners will enjoy playing a game as a motivator to learning and remembering the adding and subtracting of fractions.