Students learn about frequency and period, particularly natural frequency using springs. They learn that the natural frequency of a system depends on two things: the stiffness and mass of the system. Students see how the natural frequency of a structure plays a big role in the building surviving an earthquake or high winds.

In this lesson, students will identify the Earth's natural resources and classify them as renewable or non-renewable. They will simulate the distribution of resources and discuss the fairness and effectiveness of the distribution. Students will identify ways that they use and waste natural resources, and they will explore ways that engineers interact with natural resources.

In this activity, students explore the importance of charts to navigation on bodies of water. Using one worksheet, students learn to read the major map features found on a real nautical chart. Using another worksheet, students draw their own nautical chart using the symbols and identifying information learned.

For thousands of years, navigators have looked to the sky for direction. Today, celestial navigation has simply switched from using natural objects to human-created satellites. A constellation of satellites, called the Global Positioning System, and hand-held receivers allow for very accurate navigation. In this lesson, students investigate the fundamental concepts of GPS technology trilateration and using the speed of light to calculate distances.

This task applies geometric concepts, namely properties of tangents to circles and of right triangles, in a modeling situation. The key geometric point in this task is to recognize that the line of sight from the mountain top towards the horizon is tangent to the earth. We can then use a right triangle where one leg is tangent to a circle and the other leg is the radius of the circle to investigate this situation.

This activity illustrates the interrelationship between science and engineering in the context of extinction prevention. There are two parts to the activity. The first part challenges students to think like scientists as they generate reports on endangered species and give presentations worthy of a news channel or radio broadcast. The second part puts students in the shoes of engineers, designing ways to help the endangered species.

The purpose of this activity is to demonstrate Newton's third law of motion which states that every action has an equal and opposite reaction through a small wooden car. The Newton cars show how action/reaction works and how the mass of a moving object affects the acceleration and force of the system. Subsequently, the Newton cars provide students with an excellent analogy for how rockets actually work.

The coffee cooling experiment is a popular example of an exponential model with immediate appeal. The model is realistic and provides a good context for students to practice work with exponential equations.

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.

Celestial navigation is the art and science of finding one's geographic position by means of astronomical observations, particularly by measuring altitudes of celestial objects sun, moon, planets or stars. This activity starts with a basic, but very important and useful, celestial measurement: measuring the altitude of Polaris (the North Star) or measuring the latitude.

Students create and use their own simple compasses, which are each made from a bowl of water, strong magnet, stick pin and Styrofoam peanuts. They learn how compasses work and about cardinal directions. They come to understand that the Earth's magnetic field has both horizontal and vertical components.

This number after bingo activity increases student flexibility with the number sequence and their ability to start counting sequences at various points.

This number line up activitiy gets students out of their seats and helps reinforce the counting sequence.

This activity is played in pairs and gives students practice reading numbers out loud and tracing them.

Students learn the connection between the counting sequence and experience from their daily lives in this daily activity. It also helps give students a sense of how "many" each number is.

The primary purpose of this task is to illustrate that the domain of a function is a property of the function in a specific context and not a property of the formula that represents the function. Similarly, the range of a function arises from the domain by applying the function rule to the input values in the domain. A second purpose would be to illicit and clarify a common misconception, that the domain and range are properties of the formula that represent a function.

Science Background:
When substances are mixed they may change state or they may change into a new substance completely. Students will observe changes in colour, temperature, volume, and state in this activity.
Materials: 50mL graduated cylinder, bromothymol blue indicator, 3 resealable bags, 2 spoons or scoopulas, baking soda, calcium chloride powder

In this task, students are able to conjecture about the differences and similarities in the two groups from a strictly visual perspective and then support their comparisons with appropriate measures of center and variability. This will reinforce that much can be gleaned simply from visual comparison of appropriate graphs, particularly those of similar scale.

This hands-on experiment will provide students with an understanding of the issues that surround environmental cleanup. Students will create their own oil spill, try different methods for cleaning it up, and then discuss the merits of each method in terms of effectiveness (cleanliness) and cost. They will be asked to put themselves in the place of both an environmental engineer and an oil company owner who are responsible for the clean-up.