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.

Sixth grade math teacher Ana Posada shares a lesson on probability. Students do simulations of dependent and independent events using a goody bag of objects where they can document the differences between them.

In this real world word problem students must graph linear equations and figure a monthly and yearly wage.

This 13-minute video lesson looks at 2010 IIT JEE Paper 1 Problem 46 Circle Hyperbola Intersection.

This Remote Learning Plan was created by Deb Bulin in collaboration with Nick Ziegler as part of the 2019-20 ESU-NDE Digital Age Pedagogy Project. Educators worked with coaches to create Remote Learning Plans as a result of the COVID-19 pandemic.  The attached Remote Learning Plan is designed for a grade 6-9 math student studying algebra.  Students will: multiply polynomials using the box method or distributive property.

This OER course using a new textbook is based a section of MAT103 Pre-Calculus. It is a preparatory course for Calculus. It builds upon the intermediate level of Algebra and makes intensive use of technology to conceptualize functions and methods of function manipulation with emphasis on quantitative change. All course content written by Fahmil Shah. Added to OER Commons by Victoria Vidal.

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

The typical system of equations or inequalities problem gives the system and asks for the graph of the solution. This task turns the problem around. It gives a solution set and asks for the system that corresponds to it. The purpose of this task is to give students a chance to go beyond the typical problem and make the connections between points in the coordinate plane and solutions to inequalities and equations. Students have to focus on what the graph is showing.

This task has students approach a function via both a recursive and an algebraic definition, in the context of a famous game of antiquity that they may have encountered in a more modern form. The content underlying the algebra is the sum of the first n natural numbers (also known as the nth triangular number.

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.

This lesson focuses on students making decisions about what tools to apply to solve different problems related to quadratic expressions and equations. It is also intended to build awareness of the form an answer will take in order to help students make sense of the kind of problem they are solving. (9th/10th/11th Grade Math)

This word problem is based estimating the height of a person over time. Note that there is a significant amount of rounding in the final answer. This is because people almost never report their heights more precisely than the closest half-inch. If we assume that the heights reported in the task stem are rounded to the nearest half-inch, then we should report the heights given in the solution at the same level of precision.

This task asks students to perform computations involving complex numbers using the given information.

This lesson is about properties of quadrilaterals and learning to investigate, formulate, conjecture, justify, and ultimately prove mathematical theorems. Students will: Analyze characteristics and properties of two- and three-dimensional geometric shapes; develop mathematical arguments about geometric relationships; and apply appropriate techniques, tools, and formulas to determine measurements.Explore relationships among classes of two- and three-dimensional geometric objects, make and test conjectures about them, and solve problems involving them. Employ forms of mathematical reasoning and proof appropriate to the solution of the problem at hand, including deductive and inductive reasoning, making and testing conjectures, and using counter examples and indirect proof. Identify, formulate and confirm conjectures. Establish the validity of geometric conjectures using deduction, prove theorems, and critique arguments made by others. (9th/10th Grade Math)

In this task students are asked to write two expressions from verbal descriptions and determine if they are equivalent. The expressions involve both percent and fractions. This task is most appropriate for a classroom discussion since the statement of the problem has some ambiguity.

This 6-minute video lesson looks at 2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent.

This 12-minute video lesson concludes the look at 2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent.

This 11-minute video lesson continues to look at 2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent.