Here's a resource teachers won't want to wash their hands of. Given a task where a full bar of soap is on one side of a balance and 3/4 of a bar of soup and a 3/4-ounce weight is on the other side, young mathematicians must determine the...

Assume all you know is that the variable Q represents a value that is bigger than the value represented by the variable P. Which is larger P + Q or 2P? The problems in this activity get more complex than...

Four polygons each have a fraction with unlike denominators printed on them. Creative math minds select several shapes to create a design with and then write and solve a math problem involving the addition of all of the fractions...

This activity gets at the heart of algebraic reasoning and setting up equations with one variable to solve real-world problems. The worksheet has only one problem, but it requires that learners first use their own reasoning...

Kids love to cook! What is a better place to learn mixed numbers than with a recipe? It is up to learners to decide how they want to divide this recipe in half. They may choose to model the mixed number and then divide the model by two....

Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...

Mystery is an exciting genre for young readers to investigate. The plots are so intriguing! Here is a series of lessons featuring Sherlock Holmes stories that invite learners to enter the world of the mystery genre.  Based on what...

Mixture problems are a classic in first-year algebra. Unfortunately, many learners approach them in a formulaic fashion and don't truly understand the meaning of the algebraic expressions they are using. Here, the questions are not the...

Public transportation is an important aspect of any growing city. Collaborative groups work to redesign a system for a city in need of restructuring. Young scholars design a route, create a timetable, and incorporate a quality control...

Students classify and compare plants using specific information, observations, and numbers. In this mathematical inquiry lesson, students use plant characteristics to describe, compare, and classify them. They attempt to develop a system...

Step up to learn about step functions. The lesson, designed for high schoolers, first covers piecewise functions and how to draw their graphs. It then introduces step functions, including the greatest integer (floor) and...

Here is a lesson plan that takes an interesting approach to analyzing data using box and whisker plots.  By using an applet that dynamically generates Venn diagrams, the class forms a strategy/algorithm for guessing the rule that...

Drive or take the school bus? Class members determine the amount each student would have to pay in a carpool situation. They then evaluate  the cost in a set of provided examples. I think I'd rather take the school...

Young geometers apply their deductive reasoning skills and knowledge of proving triangles congruent in a task that asks them to prove if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints...

Algebra and geometry are not interchangeable. Demonstrate why not with a series of problems that deal with the equations of circles and equations of lines that meet specific criteria. 

Functions as inputs for other functions? After reviewing function notation and how to input values to evaluate functions, class members input functions into functions, essentially determining the composition of functions.

Time for a shift in thinking! Learners examine translations of linear functions. They use function notation to describe the translation and make connections to the graph.

Students explore numbers, computation, ratios, proportions, probabilities, statistics, and money in this six lessons unit. Practical applications in the real world are emphasized through an interactive approach to math in these lessons.

The class braids irrational numbers, Pythagoras, and perimeter together. The mini-assessment requires scholars to use irrational numbers and the Pythagorean Theorem to find perimeters of rugs. The rugs are rectangular, triangular,...

It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...

Fourth graders explore geometric properties and relationships in a two-dimensional work of art. They first search for and identify polygons in a Cubist painting and then use polygons to create their own Cubist portrait of a classmate.

Help your class look for patterns as they create their own arithmetic and geometric sequences. Engage learners with an introductory discussion on sequences and use the applet to let them explore how sequences are formed. Teachers might...

Young scholars collect data from an experiment they perform. For this data lesson, students use multiple representations to solve practical problems; describe advantages and disadvantages of the use of each representation. Then, they...

Elementary math classes calculate the area of a shape and explain the correlation between the size of the perimeter and the areas that can be contained within that perimeter. They also explain the effect the shape of the perimeter has on...