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...

Discover the relationship between tangent lines and the tangent function. Class members develop the idea of the tangent function using the unit circle. They create tables of values and explore the domain, range, and end behavior of...

Scholars model the height of water in a container with an exponential function and apply average rates of change to this function. The main attraction of the lesson is the discovery of Euler's number. 

Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...

Use the graphs of the trigonometric functions to set the stage to inverse functions. The lesson reviews the graphs of the basic trigonometric functions and their transformations. Pupils use their knowledge of graphing functions to model...

Elementary graders discover the concept of fractional pieces of a whole. They investigate the meanings of fractions in everyday life and why they are used. Pupils divide brownies amongst each other to demonstrate the use of fractions...

Young scholars design their own playground equipment. In this design instructional activity, students take pictures of equipment they like and make a class pictograph of their favorite ones. They investigate the design, research...

Something for young mathematicians to remember: the sum of any two sides must be greater than the third. Class members investigates the Triangle Inequality Theorem to find the relationship between the sides of a triangle. At the...

Great real-world math application! Have the class compare and contrast their estimated home price and income data with actual data. In groups, they participate in simulations to discover how the housing market and mortgages operate....

Students explore mass and volume. In this mass and volume activity, students pretend to be on a hike and have lost their way. Students must cross a river get back on track. Students must use mass, volume, surface area, density, property...

What a great classroom resource! The intention of this lesson is to show that real-world math can and should be applied to the community in which your students reside. The class relates properties of equations to solving for species...

Approach the lesson from the right angle. A discussion-based lesson leads helps learners understand angles in terms of rotation. Individuals use manipulatives to explore the properties of angles and learn how to name them. The lesson is...

Build boxes using unit cubes to compare surface area and volume. The group performs multiple experiments to determine properties of volume, such as if it makes a difference which order the dimensions are multiplied in. Extensive...

The key to understanding is making connections. Scholars explore angle dilations using properties of parallel lines. At completion, pupils prove that angles of a dilation preserve their original measure. 

There's more than one way to solve an equation — three, actually. Scholars learn how to solve simple linear equations in one variable using three different methods, which include using balance scales, using decomposition (e.g., turning...

What middle schooler does not enjoy an occasional online game? In this lesson play, you will find embedded links to an online probability game, and informative pages about how division is used in probability, the concept of tree models,...

Youngsters sort M & M's by color. They graph the M&M's by color on a graph. This classic lesson is a wonderful way to introduce the concept and technique of graphing to young mathematicians. Pairs of kids can make up their own...

Review operations related to rational numbers and integers using the include PowerPoint presentation, "Interesting Integers." Young mathematicians classify rational numbers as being natural, whole, or integers and read an article about...

High schoolers explore displacement. In this displacement and density lesson plan, pupils find the volume of irregular shaped objects. Afterward, they determine the volume of containers. They compute the amount of water displacement.

Venn diagrams are helpful in understanding the idea of a set and using attributes to sort items. This basic plan is an introduction with an added bonus of an applet that can be used to demonstrate the activity. If a classroom of...

The djinni in this resource offers gold coins. Learners use the properties of exponents to make their decision as one offer increases exponentially. This makes a great group project. As the commentary suggests, start by having groups...

All shapes have certain defining attributes that set them apart from others. In order to understand this, young mathematicians look at examples and non-examples of triangles, rectangles, and squares, working as a whole class to create...

Your young physicists analyze the forms of four equivalent exponential expressions representing an amount of a radioactive material in a substance. They show how each expression is equivalent to the others and what aspects of the decay...

Learners examine the properties of quadrilaterals from the point of view of rigid motion. Different types of quadrilaterals are characterized by their symmetries, so learners explore the symmetries of a described quadrilateral to...