This task requires graphing time and distance.
- Subject:
- Math
- Material Type:
- Activity/Lab
- Provider:
- Illustrative Mathematics
- Provider Set:
- Illustrative Mathematics
- Author:
- Illustrative Mathematics
- Date Added:
- 05/01/2012
This task requires graphing time and distance.
Students continue to build a rigorous background in human sensors and their engineering equivalents by learning about electronic touch, light, sound and ultrasonic sensors that measure physical quantities somewhat like eyes, ears and skin. Specifically, they learn about microphones as one example of sound sensors, how sounds differ (intensity, pitch) and the components of sound waves (wavelength, period, frequency, amplitude). Using microphones connected to computers running (free) Audacity® software, student teams experiment with machine-generated sounds and their own voices and observe the resulting sound waves on the screen, helping them to understand that sounds are waves. Students take pre/post quizzes, complete a worksheet and watch two short online videos about "seeing" sound.
Students groups act as NASA/GM engineers challenged to design, build and test robotic hands, which are tactile feedback systems made from cloth gloves and force sensor circuits. Student groups construct force sensor circuits using electric components and FlexiForce sensors to which resistance changes based on the applied force. They conduct experiments to find the mathematical relationship between the force applied to the sensor and the output voltages of the circuit. They take several measurements force vs. resistance, force vs. voltage and use the data to find the best fit curve models for the sensor. Different weights applied to the sensor are used as a scalable force. Students use traditional methods and current technology (calculators) to plot the collected data and define the curve equations. Students test their gloves and use a line of best fit to determine the minimum force required to crack an egg held between the index finger and thumb. A PowerPoint(TM) file and many student handouts are included.
Students see and learn how crystallization and inhibition occur by making sugar crystals with and without additives in a supersaturation solution, testing to see how the additives may alter crystallization, such as by improving crystal growth by more or larger crystals. After three days, students analyze the differences between the control crystals and those grown with additives, researching and attempting to deduce why certain additives blocked crystallization, showed no change or improved growth. Students relate what they learn from the rock candy experimentation to engineering drug researchers who design medicines for targeted purposes in the human body. Conduct the first half of this activity one day before presenting the associated lesson, Body Full of Crystals. Then conduct the second half of the activity.
Through five lessons, students are introduced to all facets of the rock cycle. Topics include rock and mineral types, material stresses and weathering, geologic time and fossil formation, the Earth's crust and tectonic plates, and soil formation and composition. Lessons are presented in the context of the related impact on humans in the form of roadway and tunnel design and construction, natural disasters, environmental site assessment for building structures, and measurement instrumentation and tools. Hands-on activities include experiencing tensional, compressional and shear material stress by using only hand force to break bars of soap; preparing Jeopardy-type trivia questions/answers for a class game that reinforces students' understanding of rocks and the rock cycle; creating "fossils" using melted chocolate; working within design constraints to design and build a model tunnel through a clay mountain; and soil sampling by creating tools, obtaining soil cores, documenting a soil profile log, and analyzing the findings to make engineering predictions.
Students reinforce their understanding of rocks, the rock cycle, and geotechnical engineering by playing a trivia game. They work in groups to prepare Jeopardy-type trivia questions (answers) and compete against each other to demonstrate their knowledge of rocks and engineering.
By making and testing simple balloon rockets, students acquire a basic understanding of Newton's third law of motion as it applies to rockets. Using balloons, string, straws and tape, they see how rockets are propelled by expelling gases, and test their rockets in horizontal and incline conditions. They also learn about the many types of engineers who design rockets and spacecraft.
Students are introduced to statics and dynamics, free-body diagrams, combustion and thermodynamics to gain an understanding of the forces needed to lift rockets off the ground. They learn that thrust force is needed to launch rockets into space and the energy for thrust is stored as chemical energy in the rocket's fuel. Then, using the law of conservation of energy, students learn that the chemical energy of the fuel is converted into work and heat energy during a rocket launch. A short PowerPoint® presentation is provided, including two example problems for stoichiometry review. An optional teacher demonstration is described as an extension activity.
Students learn how and why engineers design satellites to benefit life on Earth, as well as explore motion, rockets and rocket motion. Through six lessons and 10 associated hands-on activities, students discover that the motion of all objects everything from the flight of a rocket to the movement of a canoe is governed by Newton's three laws of motion. This unit introduces students to the challenges of getting into space for the purpose of exploration. The ideas of thrust, weight and control are explored, helping students to fully understand what goes into the design of rockets and the value of understanding these scientific concepts. After learning how and why the experts make specific engineering choices, students also learn about the iterative engineering design process as they design and construct their own model rockets. Then students explore triangulation, a concept that is fundamental to the navigation of satellites and global positioning systems designed by engineers; by investigating these technologies, they learn how people can determine their positions and the locations of others.
his task is intended as a classroom activity. Student pool the results of many repetitions of the random phenomenon (rolling dice) and compare their results to the theoretical expectation they develop by considering all possible outcomes of rolling two dice. This gives them a concrete example of what we mean by long term relative frequency.
Students explore orbit transfers and, specifically, Hohmann transfers. They investigate the orbits of Earth and Mars by using cardboard and string. Students learn about the planets' orbits around the sun, and about a transfer orbit from one planet to the other. After the activity, students will know exactly what is meant by a delta-v maneuver!
Students practice rounding whole numbers with this task.
This problem is an exponential function example.
This task provides students with an opportunity to engage in Standard for Mathematical Practice 6, attending to precision. It intentionally omits some relevant information -- namely, that a typical soda can holds 12 oz of fluid, that a pound is equivalent to 16 dry ounces, and that an ounce of water weighs approximately 1.04 dry ounces (at the temperature of the human body) -- in the interest of having students discover that these are relevant quantities. The incompleteness of the problem statement makes the task more amenable to having students do work in groups.
This task uses geometry to find the perimeter of the track. Students may be surprised when their calculation does not give 400 meters but rather a smaller number.
The goal of this task is to model a familiar object, an Olympic track, using geometric shapes. Calculations of perimeters of these shapes explain the staggered start of runners in a 400 meter race.
The purpose of this task is for students to compare two fractions that arise in a context. Because the fractions are equal, students need to be able to explain how they know that.
This word problem asks students to think about fractions.
In this task students use ratio and rate reasoning to solve the real-world problem of a runners rate and distance.
This task involves fraction multiplication and can be solved with pictures or number lines.