This unit focuses on the Number Systems domain and provides an opportunity to apply number systems content within the context of geometry.  Learning in this unit will enable students to: Apply and extend previous understandings of multiplication and division to divide fractions by fractions.Compute fluently with multi-digit numbers and find common factors and multiples Solve real-world and mathematical problems involving area, surface area, and volume.  

In this activity, students examine how to grow plants the most efficiently. They imagine that they are designing a biofuels production facility and need to know how to efficiently grow plants to use in this facility. As a means of solving this design problem, they plan a scientific experiment in which they investigate how a given variable (of their choice) affects plant growth. They then make predictions about the outcomes and record their observations after two weeks regarding the condition of the plants' stem, leaves and roots. They use these observations to guide their solution to the engineering design problem. The biological processes of photosynthesis and transpiration are briefly explained to help students make informed decisions about planning and interpreting their investigation and its results.

Students learn about the many types of expenses associated with building a bridge. Working like engineers, they estimate the cost for materials for a bridge member of varying sizes. After making calculations, they graph their results to compare how costs change depending on the use of different materials (steel vs. concrete). They conclude by creating a proposal for a city bridge design based on their findings.

Students learn about the physical force of linear momentum movement in a straight line by investigating collisions. They learn an equation that engineers use to describe momentum. Students also investigate the psychological phenomenon of momentum; they see how the "big mo" of the bandwagon effect contributes to the development of fads and manias, and how modern technology and mass media accelerate and intensify the effect.

Engineering analysis distinguishes true engineering design from "tinkering." In this activity, students are guided through an example engineering analysis scenario for a scooter. Then they perform a similar analysis on the design solutions they brainstormed in the previous activity in this unit. At activity conclusion, students should be able to defend one most-promising possible solution to their design challenge. (Note: Conduct this activity in the context of a design project that students are working on; this activity is Step 4 in a series of six that guide students through the engineering design loop.)

In this two-part activity, students design and build Rube Goldberg machines. This open-ended challenge employs the engineering design process and may have a pre-determined purpose, such as rolling a marble into a cup from a distance, or let students decide the purposes.

Students learn about the types of possible loads, how to calculate ultimate load combinations, and investigate the different sizes for the beams (girders) and columns (piers) of simple bridge design. Students learn the steps that engineers use to design bridges: understanding the problem, determining the potential bridge loads, calculating the highest possible load, and calculating the amount of material needed to resist the loads.

Students learn the engineering design process by following the steps, from problem identification to designing a device and evaluating its efficacy and areas for improvement. A quick story at the beginning of the activity sets up the challenge: A small child put a pebble in his ear and we don't know how to get it out! Acting as biomedical engineers, students are asked to design a device to remove it. Each student pair is provided with a model ear canal and a variety of classroom materials. A worksheet guides the design process as students create devices and attempt to extract pebbles from the ear canal.

Students quantify the percent of light reflected from solutions containing varying concentrations of red dye using LEGO© MINDSTORMS© NXT bricks and light sensors. They begin by analyzing a set of standard solutions with known concentrations of food coloring, and plot data to graphically determine the relationship between percent reflected light and dye concentration. Then they identify dye concentrations for two unknown solution samples based on how much light they reflect. Students gain an understanding of light scattering applications and how to determine properties of unknown samples based on a set of standard samples.

Using the same method for measuring friction that was used in the previous lesson (Discovering Friction), students design and conduct experiments to determine if the amount of area over which an object contacts a surface it is moving across affects the amount of friction encountered.

This activity poses the question: What would happen if a meteor or comet impacted Earth? Students simulate an impact in a container of sand using various-sized rocks, all while measuring, recording and graphing results and conclusions. Then students brainstorm ways to prevent an object from hitting the Earth.

Students act as Mars exploratory rover engineers. They evaluate rover equipment options and determine what parts fit in a provided NASA budget. With a given parts list, teams use these constraints to design for their rover. The students build and display their edible rover at a concluding design review.

Students construct model landfill liners using tape and strips of plastic, within resource constraints. The challenge is to construct a bag that is able to hold a cup of water without leaking. This represents similar challenges that environmental engineers face when piecing together liners for real landfills that are acres and acres in size.

Students use LEGO® motors and generators to raise washers a measured height. They compare the work done by the motor-generator systems with the energy inputs to calculate efficiency.

Demos and activities in this lesson are intended to illustrate the basic concepts of energy science -- work, force, energy, power etc. and the relationships among them. The "lecture" portion of the lesson includes many demonstrations to keep students engaged, yet has high expectations for the students to perform energy related calculations and convert units as required. A homework assignment and quiz are used to reinforce and assess these basic engineering science concepts.

This Lesson provides two different activities that require students to measure energy outputs and inputs to determine the efficiency of conversions and simple systems. One of the activities includes Lego motors and accomplishing work. The other investigates energy for heating water. They learn about by products of energy conversions and how to improve upon efficiency. The teacher can choose to use either of these or both of these. The calculations in the water heating experiment are more complicated than in the Lego motor activity. Thus, the heating activity is suitable for older students, only the Lego motor activity suitable for younger students.

Demonstrations explain the concepts of energy forms (sound, chemical, radiant [light], electrical, atomic [nuclear], mechanical, thermal [heat]) and states (potential, kinetic).

In an active way, students discover a few critical facts about how we use energy and how much energy we use. Each student has a "clue," some of which are pertinent energy facts and others are silly statements that are clearly unrelated to the topic. Students mingle and ask each other for clues until they have collected all the facts they need. This provides a more interactive way to communicate energy statistics, compared to a lecture and introduction with board work. The goal is to introduce students to some key terms and issues associated with energy as a necessary prerequisite for the remainder of the unit.

Students learn about the engineering design process and how it is used to engineer products for everyday use. Students individually brainstorm solutions for sorting coins and draw at least two design ideas. They work in small groups to combine ideas and build a coin sorter using common construction materials such as cardboard, tape, straws and fabric. Students test their coin sorters, make revisions and suggest ways to improve their designs. By designing, building, testing and improving coin sorters, students come to understand how the engineering design process is used to engineer products that benefit society.

In this unit, students explore the various roles of environmental engineers, including: environmental cleanup, water quality, groundwater resources, surface water and groundwater flow, water contamination, waste disposal and air pollution. Specifically, students learn about the factors that affect water quality and the conditions that enable different animals and plants to survive in their environments. Next, students learn about groundwater and how environmental engineers study groundwater to predict the distribution of surface pollution. Students also learn how water flows through the ground, what an aquifer is and what soil properties are used to predict groundwater flow. Additionally, students discover that the water they drink everyday comes from many different sources, including surface water and groundwater. They investigate possible scenarios of drinking water contamination and how contaminants can negatively affect the organisms that come in contact with them. Students learn about the three most common methods of waste disposal and how environmental engineers continue to develop technologies to dispose of trash. Lastly, students learn what causes air pollution and how to investigate the different pollutants that exist, such as toxic gases and particulate matter. Also, they investigate the technologies developed by engineers to reduce air pollution.