A middle school test contains two 40-minute sections covering material through algebra. All questions involve applied problem solving or mathematical analysis.

Lift—it is about the wing's attack. Using a virtual wind tunnel, pupils investigate wing shape and angle of attack. Learners use worksheets to record their observations and to convert verbal relationships into mathematical equations in...

Spring into elastic potential energy with a lesson that provides background information on determining the elastic potential energy of springs and other elastic materials. General energy equations emphasize the conservation of...

Not all chemical reactions happen at the same rate because some, like explosions, occur quickly and some, like rusting, occur over time. Here, learners explore chemical reactions and their rates in the 16th lesson of 36. Through readings...

Let your class bounce to examine the concept elastic potential energy. Individuals bounce on a pogo stick in order to calculate its elastic potential energy. Groups then compare the elastic potential energy to the gravitational...

In this equations review worksheet, students solve algebraic equations with one variable.  They use inverse operations to solve for the unknown.  Students translate word sentences to number sentences and then solve.  This...

In this trigonometric ratios worksheet, students solve 20 short answer and multiple choice problems.  Students use trigonometric ratios, the angle of depression, and angle of elevation to find missing side lengths of angles of a...

Build a scale model of a home built out of shipping containers. A hands-on activity has scholars watch a video about a home built from shipping containers and then design their own home. They build scale models of their designed homes...

Pupils watch the teacher demonstrate on an overhead projector how to graph various equations before the students try them on their own. They start with pencil and paper; once they grasp the concept they move on to punching in the...

Pupils investigate the concepts relating to the solving of parametric equations. They take the derivatives of parametric equations during guided and independent practice using the problems provided in the lesson plan. Students also apply...

Aim high with a task on window washers. An assessment task challenges learners to determine the number of windows two people wash. They do this using a given number of window rows on each side of a building. In addition, they find the...

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...

Accelerate young physicists' learning with this collection of problem-solving worksheets. Starting off by teaching learners to identify the given information and variables in physics problems, this resource goes on to challenge them...

Does your bank pay you for allowing them to hold your money? Class members investigate three different ways money can make more money. Topics include certificates of deposit, statement savings accounts, and money market accounts....

Pupils determine the theoretical probability of winning a game of marbles. Individuals compare the theoretical probability to experimental probability for the same game. They continue on to compare two different probability games.

Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This...

What do animated videos have to do with mathematics? Using operations of complex numbers and their representations on the complex plane, high schoolers observe how mathematics could be used to move animations. The lesson...

Explore how real-world applications can be parabolic in nature and how to find quadratic functions that best fit data. A number of different examples of modeling parabolas are explored including a student scavenger hunt, the exploration...

Students analyze an engineering problem. They contrast paper and pencil mastery of concepts with hands-on mastery. They present their design and rationale behind it, whether it works or not.

Learners explore the volume and surface area of three dimensional figures. Through the use of video, students discover three dimensional shapes, their uses in real-life applications, and methods used to calculate their volume and surface...

In this math worksheet, young scholars solve the problems that use linear equations. They check to see if the solutions are true for each equation.

Young scholars demonstrate different algebraic equations using Borenson's Hands-On Equation materials. They work in a cooperative group to solve algebraic equations.

In this algebra worksheet, students evaluate 9 exponential terms. They use order of operations to solve 18 rational number problems. Students use substitution to evaluate 4 problems involving variables.

Challenge the class to utilize their knowledge of linear and quadratic functions to determine the intersection of the parent quadratic graph and linear proportional graphs. Using the pattern for the solutions, individuals develop a...