It is possible to say a lot about the solution to an equation without actually solving it, just by looking at the structure and operations that make up the equation. This exercise turns the focus away from the familiar Ňfinding the solutionÓ problem to thinking about what it really means for a number to be a solution of an equation.

In this activity, students play the game Simon Says to make the amplitudes and wavelengths defined by the teacher. First they play alone, and then they play with a partner using a piece of rope.

Students work with partners to create four different instruments to investigate the frequency of the sounds they make. Teams may choose to make a shoebox guitar, water-glass xylophone, straw panpipe or a soda bottle organ (or all four!). Conduct this activity in conjunction with Lesson 3 of the Sound and Light unit.

Through a five-lesson series with five activities, students are introduced to six simple machines inclined plane, wedge, screw, lever, pulley, wheel-and-axle as well as compound machines, which are combinations of two or more simple machines. Once students understand about work (work = force x distance), they become familiar with the machines' mechanical advantages, and see how they make work easier. Through an introduction to compound machines, students begin to think critically about machine inventions and their pervasive roles in our lives. After learning about Rube Goldberg contraptions absurd inventions that complete simple tasks in complicated ways they evaluate the importance and usefulness of the many machines around them. Through the hands-on activities, students draw designs for contraptions that could move a circus elephant into a rail car, create a construction site ramp design by measuring different inclined planes and calculating the ideal vs. actual mechanical advantage of each, compare the theoretical and actual mechanical advantages of different pulley systems conceived to save a whale, build and test grape catapults made with popsicle sticks and rubber bands, and follow the steps of the engineering design process to design and build Rube Goldberg machines.

In this activity, students are challenged to design a contraption using simple machines to move a circus elephant into a rail car. After students consider their audience and constraints, they work in groups to brainstorm ideas and select one concept to communicate to the class.

In this activity students become familiar with the words, Ňtaller/shorterÓ as they refer to height.

Students examine collisions between two skateboards with different masses to learn about conservation of momentum in collisions.

This problem is a quadratic function example. The other tasks in this set illustrate F.BF.1a in the context of linear (Kimi and Jordan), exponential (Rumors), and rational (Summer Intern) functions.

Towards finding a solution to the unit's Grand Challenge Question about using nanoparticles to detect, treat and protect against skin cancer, students continue the research phase in order to answer the next research questions: What is the structure and function of skin? How does UV radiation affect the chemical reactions that go on within the skin? After seeing an ultraviolet-sensitive bead change color and learning how they work, students learn about skin anatomy and the effects of ultraviolet radiation on human skin, pollution's damaging effect on the ozone layer that can lead to increases in skin cancer, the UV index, types of skin cancer, ABCDEs of mole and lesion evaluation, and the sun protection factor (SPF) rating system for sunscreens. This prepares students to conduct the associated activity, in which they design quality-control experiments to test SPF substances.

Students learn about two types of friction static and kinetic and the equation that governs them. They also measure the coefficient of static friction experimentally.

In this hands-on activity, students learn about two types of friction static and kinetic and the equation that governs them. They also measure the coefficient of static friction and the coefficient of kinetic friction experimentally.

Students use a spring scale to drag an object such as a ceramic coffee cup along a table top or the floor. The spring scale allows them to measure the frictional force that exists between the moving cup and the surface it slides on. By modifying the bottom surface of the cup, students find out what kinds of surfaces generate more or less friction.

Students are introduced to the engineering challenges involved with interplanetary space travel. In particular, they learn about the gravity assist or "slingshot" maneuver often used by engineers to send spacecraft to the outer planets. Using magnets and ball bearings to simulate a planetary flyby, students investigate what factors influence the deflection angle of a gravity assist maneuver.

In this activity, students use an old fashion children's toy, a metal slinky, to mimic and understand the magnetic field generated in an MRI machine. The metal slinky mimics the magnetic field of a solenoid, which forms the basis for the magnet of the MRI machine. Students run current through the slinky and use computer and calculator software to explore the magnetic field created by the slinky.

The purpose of this task is to lead students through an algebraic approach to a well-known result from classical geometry, namely, that a point X is on the circle of diameter AB whenever _AXB is a right angle.

Students develop a persuasive peer-to-peer case against smoking, with the goal to understand how language usage can influence perception, attitudes and behavior.

This classwide program can help to reduce noise levels and head off disruptive behaviors before they occur.

The purpose of this task is to give students experience modeling a real-world example of exponential growth, in a context that provides a vivid illustration of the power of exponential growth, for example the cost of inaction for a year.

Students explore why different types of sneakers are used in a variety of common sports, and how engineers analyze design needs in sneakers and many other everyday items. The goal is for students to understand the basics of engineering associated with the design of athletic shoes. The design of footware based on how it will be used involves bioengineering. Students analyze the foot movements in a variety of sports, develop design criteria for a specific sport, and make recommendations for requirements for the sneakers used in that sport.

Engineers work in many fields associated with precipitation. Engineers study glaciers to better understand their dates of formation and current demise. They deal with issues of pollution transport and water yield, and they monitor reservoirs and dams to prevent flooding.