Students who work on this task will benefit in seeing that given a quantity, there is often more than one way to represent it, which is a precursor to understanding the concept of equivalent expressions.

This task gives students another way to practice counting and gain fluency with connecting a written number with the act of counting. This task should be introduced by the teacher and would then be a good independent center.

The most engaging way to practice counting with students is to have them count meaningful things in their lives. Since five-year-olds are very focused on themselves this is easily done by allowing them to count themselves, their friends and objects within the classroom that relate to their daily lives.

This challenging problem and brainteaser gives first graders an opportunity to compose and decompose squares.

This is an instructional task related to deepening place-value concepts. The important piece of knowledge upon which students need to draw is that 10 tens is 1 hundred.

The objective of this lesson is to gain automaticity counting to 100 and to establish the importance of multiples of ten. The final goal of this lesson is for students to be able to count by tens and articulate the term for this.

This task involves solving equations with rational coefficients, and requires students to use the distributive law ("combine like terms"). The equation also provides opportunities for students to observe structure in the equation to find a quicker solution, as in the second solution presented.

This task presents a real world application of finite geometric series. The context can lead into several interesting follow-up questions and projects. Many drugs only become effective after the amount in the body builds up to a certain level. This can be modeled very well with geometric series.

In this activity, students construct their own pinhole camera to observe the behavior of light.

This course enhances cross-cultural understanding through the discussion of practical, ethical, and epistemological issues in conducting social science and applied research in foreign countries or unfamiliar communities. It includes a research practicum to help students develop interviewing, participant-observation, and other qualitative research skills, as well as critical discussion of case studies. The course is open to all interested students, but intended particularly for those planning to undertake exploratory research or applied work abroad. Students taking the graduate version complete additional assignments.

Students practice crossing from one family to the next in counting forward with this concentration game.

This word problem requires students to create expressions to calculate gas milage for a vehicle.

One common mistake students make when dividing fractions using visuals is the confusion between remainder and the fractional part of a mixed number answer.

Students gain experience with the software/system design process, closely related to the engineering design process, to solve a problem. First, they learn about the Mars Curiosity rover and its mission, including the difficulties that engineers must consider and overcome to operate a rover remotely. Students observe a simulation of a robot being controlled remotely. These experiences guide discussion on how the design process is applied in these scenarios. The lesson culminates in a hands-on experience with the design process as students simulate the remote control of a rover. In the associated activity, students gain further experience with the design process by creating an Android application using App Inventor to control one aspect of a remotely controlled vehicle. (Note: The lesson requires a LEGO® MINDSTORMS® Education NXT base set.)

The purpose of this task is to introduce or reinforce the concept of a function, especially in a context where the function is not given by an explicit algebraic representation. Further, the last part of the task emphasizes the significance of one variable being a function of another variable in an immediately relevant real-life context.

Students pretend they are agricultural engineers during the colonial period and design a miniature plow that cuts through a "field" of soil. They are introduced to the engineering design process and learn of several famous historical figures who contributed to plow design.