It is essential to lay a solid foundation in mathematics if a student is to be competitive in today's global market. The importance of algebra, in particular, cannot be overstated, as it is the basis of all mathematical modeling used in applications found in all disciplines. Traditionally, the study of algebra is separated into a two parts, elementary algebra and intermediate algebra. This textbook, Elementary Algebra, is the first part, written in a clear and concise manner, making no assumption of prior algebra experience. It carefully guides students from the basics to the more advanced techniques required to be successful in the next course.

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.

Students are introduced to the idea that energy use impacts the environment and our wallets. They discuss different types of renewable and nonrenewable energy sources, as well as the impacts of energy consumption. Through a series of activities, students understand how they use energy and how it is transformed from one type to another. They learn innovative ways engineers conserve energy and how energy can be conserved in their homes.

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.

We all know that it takes energy to provide us with the basics of shelter: heating, cooling, lighting, electricity, sanitation and cooking. To create energy-efficient housing that is practical for people to use every day requires combining many smaller systems that each perform a function well, and making smart decisions about the sources of power we use. Through five lessons on the topics of heat transfer, circuits, daylighting, electricity from renewable energy sources, and passive solar design, students learn about the science, math and engineering that go into designing energy-efficient components of smart housing that is environmentally friendly. Through numerous design/build/analyze activities, students create a solar water heater, swamp cooler, thermostat, model houses for testing, model greenhouse, and wind and water turbine prototypes. It is best if students are concurrently taking Algebra 1 in order to complete some of the worksheets.

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 utilize data tables culled from the US DOE Energy Information Agency to create graphs that illustrate what types of energy we use and how we use it. An MS Excel workbook with several spreadsheets of data is provided. Students pick (or the teacher assigns) one of the data tables from which students create plots and interpret the information provided. Student groups share with the class their interpretations and new perspectives on energy resources and use.

Several activities are included to teach and research the differences between renewable and non-renewable resources and various energy resources. The students work with a quantitative, but simple model of energy resources to show how rapidly a finite, non-renewable energy sources can be depleted, whereas renewable resources continue to be available. The students then complete a homework assignment or a longer, in-depth research project to learn about how various technologies that capture energy resources for human uses and their pros and cons. Fact sheets are included to help students get started on their investigation of their assigned energy source.

Learn about conservation of energy with a skater dude! Build tracks, ramps and jumps for the skater and view the kinetic energy, potential energy and friction as he moves. You can also take the skater to different planets or even space!

Students experiment with an online virtual laboratory set at a skate park. They make predictions of graphs before they use the simulation to create graphs of energy vs. time under different conditions. This simulation experimentation strengths their comprehension of conservation of energy solely between gravitational potential energy and kinetic energy

Students will be using real-life energy use data to learn how to use spreadsheets and create graphs to better organize and view data. Discussions can then follow to analyze the data and explain the usage. Real rates are then provided, and students can use the electricity consumed data to create a utility bill for the consumer and compare the standard Residential Service charges to if the member were instead billed by the “Time of Use” rate.

This activity utilizes hands on learning with the conservation of energy with the inclusion of elastic potential energy. Students use pogo sticks to experience the elastic potential energy and its conversion to gravitational potential energy.

This activity utilizes hands-on learning with the conservation of energy and the interaction of friction. Students use a roller coaster track and collect position data. The students then calculate velocity, and energy data. After the lab, students relate the conversion of potential and kinetic energy to the conversion of energy used in a hybrid car.

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.

Students use simple materials to design an open spectrograph so they can calculate the angle light is bent when it passes through a holographic diffraction grating. A holographic diffraction grating acts like a prism, showing the visual components of light. After finding the desired angles, students use what they have learned to design their own spectrograph enclosure.

The purpose of this activity is to demonstrate the importance of rocks, soils and minerals in engineering and how using the right material for the right job is important. The students build three different sand castles and test them for strength and resistance to weathering. Then, they discuss how the buildings are different and what engineers need to think about when using rocks, soils and minerals for construction.

Imagining themselves arriving at the Olympic gold medal soccer game in Beijing, students begin to think about how engineering is involved in sports. After a discussion of kinetic and potential energy, an associated hands-on activity gives students an opportunity to explore energy absorbing materials as they try to protect an egg from being crushed.

Students begin by reading Dr. Seuss' "The Lorax" as an example of how overdevelopment can cause long-lasting environmental destruction. Students discuss how to balance the needs of the environment with the needs of human industry. Student teams are asked to serve as natural resource engineers, city planning engineers and civil engineers with the task to replant the nearly destroyed forest and develop a sustainable community design that can co-exist with the re-established natural area.

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.