Given a certain amount of points, how many line segments can you connect between them? How many close geometric figures can you create? These are the types of questions learners are asked to solve in a assessment-based instructional...

Everyone's heard of Pythagoras, but who's Ptolemy? Learners test Ptolemy's Theorem using a specific cyclic quadrilateral and a ruler in the 22nd installment of a 23-part module. They then work through a proof of the theorem.

Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...

This unit on fractions allows for upper-aged elementary learners to explore ways to find the greatest common factor and least common multiple of two numbers. Ultimately, young mathematicians will be able to identify equivalent fractions,...

Two triangles are displayed on a coordinate plane. Youngsters apply a reflection and a translation to demonstrate their congruence. This exercise makes a terrific tool for teaching these concepts, or a way to assess learning.

Explore a geometric sequence model through a simulation. Learners change the starting drop height of a ball and watch how the heights of following bounces change. They consider the ratio of the consecutive bounces as they analyze...

Examine an exponential growth model. Using a fractal, learners calculate the perimeters of each stage. When comparing the consecutive perimeters, a pattern emerges. They use the pattern to build an equation and make conclusions.

How many bowling balls can a truck carry? A slider interactive changes the weight of boxes and the number of bowling balls per box. Investigating with this slider lets users find the maximum number of bowling balls.

Do your pupils truly understand inverse operations, or is their understanding a little backward? Scholars learn the meaning of an equation in the second instructional activity of a four-part Algebra series. A series of activities...

Ten questions make up an interactive all about integers. Scholars answer multiple choice, short answer, and discussion questions using a 4x4 chessboard and dominoes.

Mathematicians manipulate a mountain of money to solve six questions about simple interest. Question types include several multiple-choice and one discussion. 

MAD about statistics? In the seventh chapter of an eight-part seventh-grade workbook series, learners develop probability models and use statistics to draw inferences. In addition, learners play games and conduct experiments to determine...

Statistically, waste may become a problem in the future if people do not take action. Using their knowledge of statistics and data representation, pupils take a look at the idea of waste generation. The four-part unit has class members...

Challenge young mathematicians' understanding of squares with this geometry puzzle. The task is simple, identify as many squares as possible in a 3x3 array. Allow learners to work independently or in pairs as they search for squares,...

This can be used as a critical thinking exercise in congruence or as a teaching tool when first introducing the concept. Four octagons are arranged in such a way that a square is formed in the middle. With this information, geometry...

Pia is putting stickers into party bags. She starts by putting 10 stickers in each bag, and over the course of a week she adds several bundles of ten stickers to each bag, as well as making more bags. Second graders must find the number...

Students utilize a checklist in order to help them stay focused on long division problems.

Rose's commute to school is a fractional distance. After she runs part of the way, your class needs to determine what fractional distance she ran. This problem explores fraction operations through modeling and computation. The...

Young mathematicians look for patterns in inverse functions as they relate to the original functions. The comprehensive lesson emphasizes vocabulary throughout as well as algebraic and graphical characteristics of the inverse functions.

Package design is an economic necessity. Young scholars assume the role in an interesting inquiry-based lesson. Given 24 cubic shaped candies to package, they must determine the arrangement that uses the least amount of cardboard to...

Whether you live in the city, the suburbs, or out on the farm, shapes are everywhere in the world around us. Presented with an illustration of a farm, youngsters are tasked with coloring in all of the triangles,...

A real-world approach to common multiples asks learners to find different groups of flowers based on their multiples. Useable as a class activity or independent exercise, they will have to organize their thoughts to explain the totals of...

Place value is a concept that sets a foundation for mathematical understanding. Ordering these sets of three- and four-digit numbers will help to strengthen that foundation. A great independent practice worksheet or short assessment to...

Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...