Playing the role of engineers in collaborations with the marketing and production teams in a chocolate factory, students design a container for a jumbo chocolate bar. The projects constraints mean the container has to be a regular trapezoidal prism. The design has to optimize the material used to construct the container; that is, students have to find the dimensions of the container with the maximum volume possible. After students come up with their design, teams present a final version of the product that includes creative branding and presentation. The problem-solving portion of this project requires students to find a mathematical process to express the multiple variables in the prism’s volume formula as a single variable cubic polynomial function. Students then use technology to determine the value for which this function has a maximum and, with this value, find the prism’s optimal dimensions.

This task is not about computing the final price of the shirt but about using the structure in the computation to make a general argument.

This simple conceptual problem does not require algebraic manipulation, but requires students to articulate the reasoning behind each statement.

On this site from Aussie School House Teachers on the Web, an Australian K-6 teacher defines and illustrates more than 500 mathematical terms. It is a wonderful dictionary featuring clear and often interactive graphics, great colors, and lots of examples. It has been recently updated adding more terms, charts, and an app.

A solution to an inequality makes that inequality true. Learn how to test if a certain value of a variable makes an inequality true. [5:10]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

This 10-minute video lesson shows that three points uniquely define a circle and that the center of a circle is the circumcenter for any triangle that the circle is circumscribed about.

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

This task illustrates A-SSE.1a because it requires students to identify expressions as sums or products and interpret each summand or factor.

Although this task is quite straightforward, it has a couple of aspects designed to encourage students to attend to the structure of the equation and the meaning of the variables in it. It fosters flexibility in seeing the same equation in two different ways, and it requires students to attend to the meaning of the variables in the preamble and extract the values from the descriptions.

The purpose of this task is to emphasize the adjective "geometric" in the "geometric" series, namely, that the algebraic notion of a common ratio between terms corresponds to the geometric notion of a repeated similarity transformation.

In this task students must investigate this conjecture to discover that it does not work in all cases: Pick any two integers. Look at the sum of their squares, the difference of their squares, and twice the product of the two integers you chose. Those three numbers are the sides of a right triangle.

This classroom task is meant to elicit a variety of different methods of solving a quadratic equation (A-REI.4).

The resource investigates simplifying radical expressions. The notes consist of formulas and examples.

What are the probabilities of winning at tennis? This challenging activity is designed to be accessible to students of A-Level Maths (grades 10, 11, and 12).

Does weight give shot putters an advantage? This activity encourages students to engage in statistical analysis, and is aimed at GCSE and A-level students (Key Stages 4 and 5).

Using manipulatives, students figure out patterns in problems involving seating arrangements. They write algebraic equations to describe the relationships.

Students are introduced to algebraic expressions that use more than one variable and have multiple solutions. They figure out combinations of two items at different costs, with each combination adding up to 100.

In this activity, students interpret the motion of a car using its related velocity and acceleration vectors.

Find a quick, concise explanation of absolute value. Examples are included to help you understand this topic.

Find a quick, concise explanation of how to take the words from problems and substitute variables, operations and numbers to create an equivalent expression. Examples are given and clearly explained.