After completing an assessment task where they express numbers as the difference of squares (i.e., 9 = 5^2 – 4^2), class members note any patterns that they see in the problems.

The task at hand is to partition a hexagon into two, four, and eight congruent figures. Make sure to give your wizards a sheet of triangle grid paper on which to decompose the hexagons. Have them explain which rotations, reflections, or...

There are many ways to approach finding the rational approximation of an unknown square root. Here is a problem that will help math learners make a connection between square roots and their order on a number line. As usual, determine two...

Mathematically complete a set of blueprints. Using eight linear inequalities, pupils create a blueprint of Thomas Jefferson's home. Individuals graph the linear inequalities and position the solution of the inequalities before...

In this inequalities learning exercise, students use two steps to solve 16 inequality problems. A line graph is provided to graph the answers, and an answer key is provided.

Learners construct an exponential function from a graph, and two given points on the graph, as they analyze what makes up an exponential function.

Who's ready for the dance? When two middle schools combine for a dance, your learners' job is to calculate the ratio of girls attending. Provided with three different solutions, you can choose from setting up a ratio, linear equation, or...

Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.

Your learners can approach this task algebraically, geometrically, or both. They analyze the building of a linear function given two points and expand the concrete approach to the abstract when they are asked to find the general form of...

Your algebra learners will build an exponential equation given a graph with two specific points labeled. 

Algebra learners explore, analyze and build an exponential equation given its form and a specific point that exists on the function in this task. The last question asks learners to apply their ideas to an exponential equation given two...

Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...

Get straight answers on a curved grid. An interactive has learners apply the Law of Cosines to find the distance between two points on the polar coordinate plane. The pupils use the radii lengths and the angle between the two radii...

Simple tasks are presented for your seventh grade math masters. They are to determine whether two numbers on a number line are equidistant from zero and what the two added together would be.

Understanding when to divide by two or one-half can be confusing. Here is an activity that gives four different scenarios. It is up to your number crunchers to decide if they divide by two or one-half. The easiest way to approach the...

What was the most beneficial policy for nineteenth-century African Americans: to stay in the United States and work for freedom, or to immigrate to a new place and build a society elsewhere? Your young historians will construct an...

Help your learners understand how to divide fractions with this visual activity. They first answer a simple inequality before dividing the fractions. Two solution choices are given to help your mathematicians understand how to solve "how...

Is there one, none, or more? Through discussion or activity, scholars find the properties of an equation that will determine the number of solutions. They then use the properties discovered to figure out the number of solutions...

Explore language arts by reading two similar stories in order to compare and contrast them in class. Young readers read two Aunt Isabel books, by Kate Duke, and discuss the main characters, plot, and setting. They complete a graphic...

A single activity gets your math class to solve a word problem using two linear equations and two variables. They compare the summer earnings of Kimi and Jordan and then graph the solutions to determine who will save the most money in a...

Extend your class's ability to represent unit fractions on a number line with this challenging worksheet. Given two number lines, one labeled with zero and 1/4, the other with zero and 5/3, young scholars must accurately locate the...

After reviewing notes from the previous lessons, small groups obtain a scenario card that describes a situation in which bullying is happening. Peers discuss the event and brainstorm two solutions using the STAR method then present their...

Upcoming chemists use chemical reactions to determine relative pH in two different acids. This is a terrific lesson for middle schoolers that can stand alone as a practice in precision and lab skills, or as part of the unit on chemical...

Learners analyze the difference between the slope intercept and standard forms of a line in this task. Given two general points using letters they explore linear functions and linear equations.