Use dance to help learners conceptualize line segments, rays, lines, and planes. They choreograph dances that show dimensional space. Dancers start by pondering space, point, and lines as the teacher draws them in the air. Each...

Students create an abstract work of art that is made by repeating geometric shapes and lines, write concise instructions to reproduce the work of art and reproduce someone else's artwork via written instructions.

Here learners get to flex some serious algebraic muscles through an investigation of logistic growth. The properties of the constant terms in the logistic growth formula are unraveled in a short but content-dense...

I like algebra, but graphing is where I draw the line! Worksheet includes three multiple-part questions on interpreting and drawing line graphs. It focuses on the abstract where neither axis has numbers written in, though both are...

Students apply abstract concepts, such as stress, fulcrums, the law of gravity, and the strength of different geometric shapes. Groups of student contractors operate simulated architectural firms to create strong, economical bridges.

Acquaint mathematicians to the concept of probability with a discussion about the results of a game. Then have them play a dice, card, spinner, or coin game and recording the number of wins vs. the number of tries on an interactive web...

Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan.  Learners develop recursive and closed methods for representing real-life situations,...

Owl shares her worms with her best mates Fluffy and Bill. As worms are distributed to the two of them learners will see that when there is one left over the number is odd and when they have the same amount the number is even. This is a...

The object is to model fraction division by asking “How many are in one group?” It is a difficult concept to understand, but developing the model that shows one cup to a certain amount of container or one container to a certain amount of...

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...

Discover how algebra tiles help evaluate expressions. Scholars learn to use algebra tiles to substitute values in for variables and evaluate expressions. The included worksheet contains a set of evaluation problems to assess individuals'...

Use 2x2 matrices to move along a line. The second day of a two-day lesson plan is the 28th installment in a 32-part unit. Pupils work together to create and solve systems of equations that will map a transformation to a given...

These abstract shapes are pointing in different directions and young scholars determine which ones are oriented the same way. For each of five starting shapes they examine a set of four identical figures pointing in various directions,...

In order for students to acquire knowledge about math concepts, and in particular fractions, they need concrete ways to practice an abstract concept.¿¿¿ Using Hershey bars builds on prior knowledge as most students have probably...

The brother-sister pair Carlos and Clarita need your class's help in developing their new pet sitting business. Through a variety of scenarios and concerns presented to the siblings, the learners thoroughly explore systems of equations...

Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This...

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...

In this multi-faceted introduction to pi, participants perform a bevy of pi-related activities. Ranging from measuring household items to singing pi songs and reading pi stories, this fun and non-intimidating resource serves to bring up...

It all starts with arithmetic. An educational resource provides four items to use in summative assessments. The items reflect the basic skill level required by the standards in the domain and are designed to have...

Need a less abstract approach to introducing extraneous solutions? This is it! Young mathematicians explore properties used to solve equations and determine which operations maintain the same solutions. They...

The matrix — it's not just a movie. The lesson introduces the concept of 2 x 2 matrix multiplication as a way to represent linear transformations. Class members determine when a linear transformation represented as matrix...

Students reflect on the uses of mathematics in their daily lives and work in pairs to design brochures that make specific mathematical concepts clear and interesting to a popular audience.