As written, this problem gives students all of the information they need to estimate the thickness of a soda can.

his is a version of ''How thick is a soda can I'' which allows students to work independently and think about how they can determine how thick a soda can is. The teacher should explain clearly that the goal of this task is to come up with an ''indirect'' means of assessing how thick the can is, that is directly measuring its thickness is not allowed.

Throughout this problem-based learning module students will address real world skills. Students will be asked to brainstorm ideas and think innovatively both independently and collaboratively in addressing a real-world problem that is relevant to their daily lives and surroundings.  Students/teams will be encouraged to use the internet for research purposes in their design phase. What components should be included for a modern, updated classroom? Students will utilize various online platforms to design an ideal, modern, 21st century “dream classroom”.  Students will incorporate components that would meet the needs of all learners and a classroom that would be able to integrate technology. These classrooms can be shared with relevant individuals in the community and others in the school building.

In this problem-based learning module, students will be given the chance to plan their idea of the perfect party.  They are given a budget of $2,500, this is the maximum amount of money they can use.  The goal is for students to plan a party that they think people would want to attend and would enjoy being a part of.  The students will need to come up with categories of what their party will need (food/drink, decorations, entertainment, location, etc).  These will then be the stations students will move at their own pace through to complete the party planning.  At each station they will need to identify what they are doing to have/do for the party and how much it will cost.  They will then have to figure out the unit cost (cost per person) for that category. The final station should allow for students to find the total cost of their part and total unit cost per person for the party.  If the total cost exceeds $2,500 students should make adjustments as needed.Students will then create an advertisement (commercial, flyer, poster etc.) to promote their party as the “PARTY OF THE YEAR!”Students will then present these advertisements to school staff, parents, administrators etc. to vote on the party they would want to throw for their own child. They should take into consideration cost per person, entertainment, and enjoyment of the party.

The purpose of this task is to continue a crucial strand of algebraic reasoning begun at the middle school level (e.g, 6.EE.5). By asking students to reason about solutions without explicily solving them, we get at the heart of understanding what an equation is and what it means for a number to be a solution to an equation. The equations are intentionally very simple; the point of the task is not to test technique in solving equations, but to encourage students to reason about them.

This task can be used as a quick assessment to see if students can make sense of a graph in the context of a real world situation. Students also have to pay attention to the scale on the vertical axis to find the correct match.

These problems are meant to be a progression which require more sophisticated understandings of the meaning of fractions as students progress through them.

This task provides a context for performing division of a whole number by a unit fraction. This problem is a "How many groups?'' example of division.

An interactive applet and associated web page that provide step-by-step animated instructions on how to measure angles using a protractor. Specifically, it uses a protractor to measure two angles that form a vertical pair, verifying they have the same measure. The animation can be run either continuously like a video, or single stepped to allow classroom discussion and thought between steps. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

Students will use ratios to demonstrate the connections between proportional relationships, lines, and linear equations. Students will solve problems using a cooperative, kinesthetic activity in which they will create a ratio table, then graph proportional relationships with their bodies to demonstrate that the ratio (or rate) is the slope that will always pass through the origin.

Students do work by lifting a known mass over a period of time. The mass and measured distance and time is used to calculate force, work, energy and power in metric units. The students' power is then compared to horse power and the power required to light 60-watt light bulbs.

Students learn the patterns in the hundred board by assembling puzzles. Teachers are able to assess student use of patterns in rows and columns by observing the student at work. This task is easily differentiated to accommodate the varied levels in a first grade class by changing the number of pieces and the shape of the pieces. Puzzle bags should be sequentially lettered so that students progress through harder versions of the task. Finally, students are asked to create their own puzzles for classmates to solve.

Students play a game in pairs to read and recognize numbers using a 100 chart.

Through four lessons and four hands-on associated activities, this unit provides a way to teach the overarching concept of energy as it relates to both kinetic and potential energy. Within these topics, students are exposed to gravitational potential, spring potential, the Carnot engine, temperature scales and simple magnets. During the module, students apply these scientific concepts to solve the following engineering challenge: "The rising price of gasoline has many effects on the US economy and the environment. You have been contracted by an engineering firm to help design a physical energy storage system for a new hybrid vehicle for Nissan. How would you go about solving this problem? What information would you consider to be important to know? You will create a small prototype of your design idea and make a sales pitch to Nissan at the end of the unit." This module is built around the Legacy Cycle, a format that incorporates findings from educational research on how people best learn. This module is written for a first-year algebra-based physics class, though it could easily be modified for conceptual physics.

Students design and build a mechanical arm that lifts and moves an empty 12-ounce soda can using hydraulics for power. Small design teams (1-2 students each) design and build a single axis for use in the completed mechanical arm. One team designs and builds the grasping hand, another team the lifting arm, and a third team the rotation base. The three groups must work to communicate effectively through written and verbal communication and sketches.

This lab exercise exposes students to a potentially new alternative energy source hydrogen gas. Student teams are given a hydrogen generator and an oxygen generator. They balance the chemical equation for the combustion of hydrogen gas in the presence of oxygen. Then they analyze what the equation really means. Two hypotheses are given, based on what one might predict upon analyzing the chemical equation. Once students have thought about the process, they are walked through the experiment and shown how to collect the gas in different ratios. By trial and error, students determine the ideal combustion ratio. For both volume of explosion and kick generated by explosion, they qualitatively record results on a 0-4 scale. Then, students evaluate their collected results to see if the hypotheses were correct and how their results match the theoretical equation. Students learn that while hydrogen will most commonly be used for fuel cells (no combustion situation), it has been used in rocket engines (for which a tremendous combustion occurs).

Students capture and examine air particles to gain an appreciation of how much dust, pollen and other particulate matter is present in the air around them. Students place "pollution detectors" at various locations to determine which places have a lot of particles in the air and which places do not have as many. Quantifying and describing these particles is a first step towards engineering methods of removing contaminants from the air.

Students develop an understanding of air pressure by using candy or cookie wafers to model how it changes with altitude, by comparing its magnitude to gravitational force per unit area, and by observing its magnitude with an aluminum can crushing experiment.

Students develop their understanding of the effects of invisible air pollutants with a rubber band air test, a bean plant experiment and by exploring engineering roles related to air pollution. In an associated literacy activity, students develop visual literacy and write photograph captions. They learn how images are manipulated for a powerful effect and how a photograph can make the invisible (such as pollutants) visible. Note: You may want to set up the activities for Air Pollution unit, Lessons 2 and 3, simultaneously as they require extended data collection time and can share collection sites.