This task requires students to recognize both "number of groups unknown" and "group size unknown" division problems in the context of a whole number divided by a unit fraction.

The purpose of this task is to introduce the idea of exponential growth and then connect that growth to expressions involving exponents. It illustrates well how fast exponential expressions grow.

This problem allows the student to think geometrically about lines and then relate this geometry to linear functions. Or the student can work algebraically with equations in order to find the explicit equation of the line through two points (when that line is not vertical).

This task is designed as a follow-up to the task F-LE Do Two Points Always Determine a Linear Function? Linear equations and linear functions are closely related, and there advantages and disadvantages to viewing a given problem through each of these points of view. This task is intended to show the depth of the standard F-LE.2 and its relationship to other important concepts of the middle school and high school curriculum, including ratio, algebra, and geometry.

This problem complements the problem ``Do two points always determine a linear function?''

This task requires students to use the normal distribution as a model for a data distribution. Students must use given means and standard deviations to approximate population percentages. There are several ways (tables, graphing calculators, or statistical software) that students might calculate the required normal percentages. Depending on the method used, answers might vary somewhat from those shown in the solution.

The purpose of the task is to analyze a plausible real-life scenario using a geometric model. The task requires knowledge of volume formulas for cylinders and cones, some geometric reasoning involving similar triangles, and pays attention to reasonable approximations and maintaining reasonable levels of accuracy throughout.

The purpose of this task to help students think about an expression for a function as built up out of simple operations on the variable, and understand the domain in terms of values for which each operation is invalid (e.g., dividing by zero or taking the square root of a negative number).

Explore tunneling splitting in double well potentials. This classic problem describes many physical systems, including covalent bonds, Josephson junctions, and two-state systems such as spin 1/2 particles and ammonia molecules.

This task would be especially well-suited for instructional purposes. Students will benefit from a class discussion about the slope, y-intercept, x-intercept, and implications of the restricted domain for interpreting more precisely what the equation is modeling.

This Super Lesson utilizes Project Based Learning to assist learners with designing, building, and testing flying contraptions as an introduction to Engineering. The goal of this project is to engage students in collaborative team work and to introduce students to the Science and Engineering Practices: Asking Questions and Defining Problems, Planning and Carrying Out Investigations, and Constructing Explanations and Designing Solutions.

We have offered this Super Lesson as an 8-week elective course, developing and strengthening student interest in applied Math and Science topics. It could also be offered within upper elementary or middle school Science and Math courses. In addition, each week’s topic could be used as a stand alone mini-lesson if time is limited. We have worked to include multiple options within this unit to make it accessible to both general education and special education programs, including recommendations for modifications and extensions.

This problem involves fraction multiplication that can be solved with pictures or number lines.

This task builds on a fifth grade fraction multiplication task and uses the identical context, but asks the corresponding ŇNumber of Groups UnknownÓ division problem.

This task builds on a fifth grade fraction multiplication task and uses the identical context, but asks the corresponding ŇNumber of Groups UnknownÓ division problem.

An engineering and design lesson for middle school (our 7th grade standards).

In the aftermath of a natural disaster, can you engineer a device that will keep medicine within a 40-60°F range using natural resources from the biome you live in, and/or debris created by the disaster for three days, until the Red Cross can arrive?

You are a team of relief workers in __________________after a major earthquake/tsunami has occurred. Your team lead as just told you about a young women with diabetes has been injured and needs insulin to be delivered __________ miles away (no open roads). Your team will need to research, design, and build a portable device to keep the insulin between _____ and ______ °(F/C) for _____ days. Once you return you will present the effectiveness of your device to your lead and a team other relief workers showing your both your design/device and explaining the process.

How many calories are in your favorite foods? How much exercise would you have to do to burn off these calories? What is the relationship between calories and weight? Explore these issues by choosing diet and exercise and keeping an eye on your weight.

One goal of this task is to help students develop comfort and ease with adding fractions with unlike denominators. Another goal is to help them develop fraction number sense by having students decompose fractions. Because the Egyptians represented fractions differently than we do, it can also help students understand that there can be many ways of representing the same number.

The purpose of this task is to strengthen students' understanding of area. It could be assigned in class to individuals or small groups or given as a homework exercise to generate interesting discussions the following day. The relatively high levels of complexity and technical demand enhance its instructional value.