Students learn about material balances, a fundamental concept of chemical engineering. They use stoichiometry to predict the mass of carbon dioxide that escapes after reacting measured quantities of sodium bicarbonate with dilute acetic acid. Students then produce the reactions of the chemicals in a small reactor made from a plastic water bottle and balloon.

Students explore the basics of DC circuits, analyzing the light from light bulbs when connected in series and parallel circuits. Ohm's law and the equation for power dissipated by a circuit are the two primary equations used to explore circuits connected in series and parallel. Students measure and see the effect of power dissipation from the light bulbs. Kirchhoff's voltage law is used to show how two resistor elements add in series, while Kirchhoff's current law is used to explain how two resistor elements add when in parallel. Students also learn how electrical engineers apply this knowledge to solve problems. Power dissipation is particularly important with the introduction of LED bulbs and claims of energy efficiency, and understanding how power dissipation is calculated helps when evaluating these types of claims. This activity is designed to introduce students to the concepts needed to understand how circuits can be reduced algebraically.

Students are introduced to the correct technical vocabulary for lighting, which is different than layperson's terms. They learn about lamp (light bulb) technology and how to identify the various types of lighting in their spaces. They are also introduced to lighting controls as a means for saving energy- reducing costs, human energy consumption, and greenhouse gas emissions on the environment. Using an accompanying worksheet, students embark on a guided audit in which they survey the lighting in their classroom and identify the potential savings from using controls.

Modeling Our World with Mathematics Unit 1: Health & Fitness Topic 1 - A Healthier You!

Modeling Our World with Mathematics Unit 2: Environmental Science Topic 2 - Sustainable Forestry

Modeling Our World with Mathematics Unit 4: Finances for Life Topic 2 - Loans and Consumer Credit

This lesson begins with a demonstration of the deflection of an electron beam. Students then review their knowledge of the cross product and the right hand rule with sample problems. After which, students study the magnetic force on a charged particle as compared to the electric force. The following lecture material covers the motion of a charged particle in a magnetic field with respect to the direction of the field. Finally, students apply these concepts to understand the magnetic force on a current carrying wire. Its associated activity allows students to further explore the force on a current carrying wire.

Students observe capillary action in glass tubes of varying sizes. Then they use the capillary action to calculate the surface tension in each tube. They find the average surface tensions and calculate the statistical errors.

This lesson unit is intended to help teachers assess how well students are able to: interpret a situation and represent the constraints and variables mathematically; select appropriate mathematical methods to use; make sensible estimates and assumptions; investigate an exponentially increasing sequence; and communicate their reasoning clearly.

The purpose of this task is to provide a fun context to examine the pitfalls of disregarding units when reporting and manipulating quantities. Teachers might use this as a discussion-starter about appropriate and careful use of units. In this particular example, the units of the three quantities are so diverse that it is not surprising Lisa laughed when looking at the ''arithmetic'' on this sign.

Normally we find things using landmark navigation. When you move to a new place, it may take you awhile to explore the new streets and buildings, but eventually you recognize enough landmarks and remember where they are in relation to each other. However, another accurate method for locating places and things is using grids and coordinates. In this activity, students will come up with their own system of a grid and coordinates for their classroom and understand why it is important to have one common method of map-making.

The intent of clarifying statements is to provide additional guidance for educators to communicate the intent of the standard to support the future development of curricular resources and assessments aligned to the 2021 math standards.  Clarifying statements can be in the form of succinct sentences or paragraphs that attend to one of four types of clarifications: (1) Student Experiences; (2) Examples; (3) Boundaries; and (4) Connection to Math Practices.

Students are introduced to the physics concepts of air resistance and launch angle as they apply to catapults. This includes the basic concepts of position, velocity and acceleration and their relationships to one another. They use algebra to solve for one variable given two variables.

In this unit, students learn the very basics of navigation, including the different kinds of navigation and their purposes. The concepts of relative and absolute location, latitude, longitude and cardinal directions are explored, as well as the use and principles of maps and a compass. Students discover the history of navigation and learn the importance of math and how it ties into navigational techniques. Understanding how trilateration can determine one's location leads to a lesson on the global positioning system and how to use a GPS receiver. The unit concludes with an overview of orbits and spacecraft trajectories from Earth to other planets.

Waterwheels are devices that generate power and do work. Student teams construct waterwheels using two-liter plastic bottles, dowel rods and index cards, and calculate the power created and work done by them.

Students learn how engineers design devices that use water to generate electricity by building model water turbines and measuring the resulting current produced in a motor. Student teams work through the engineering design process to build the turbines, analyze the performance of their turbines and make calculations to determine the most suitable locations to build dams.

Students learn how engineers harness the energy of the wind to produce power by following the engineering design process as they prototype two types of wind turbines and test to see which works best. Students also learn how engineers decide where to place wind turbines, and the advantages and disadvantages to using wind power compared to other non-renewable energy sources.

In this video from Cyberchase, the CyberSquad helps Ms. Fileshare realize that Hacker has been deceiving her as they take a look at the scale of a bar graph.

Pumps are used to get drinking water to our houses every day! And in disaster situations, pumps are essential to keep flood water out. In this hands-on activity, student groups design, build, test and improve devices to pump water as if they were engineers helping a rural village meet their drinking water supply. Students keep track of their materials costs, and calculate power and cost efficiencies of the prototype pumps. They also learn about different types of pumps, how they work and useful applications.

Adult education classrooms are commonly comprised of learners who have widely disparate levels of mathematical problem-solving skills. This is true regardless of what level a student may be assessed at when entering an adult education program or what level class they are placed in. Providing students with differentiated instruction in the form of Push and Support cards is one way to level this imbalance, keeping all students engaged in one high-cognitive task that supports and encourages learners who are stuck, while at the same time, providing extensions for students who move through the initial phase of the task quickly. Thus, all
students are continually moving forward during the activity, and when the task ends, all students have made progress in their journey towards developing conceptual understanding of mathematical ideas along with a productive disposition, belief in one’s own ability to successfully engage with mathematics.