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...

Your young learners will enjoy mathematics that is meaningful correspondence as they play their way to a deep mathematical foundation. Organized around the math standards, this appropriate sequence of conceptual, preschool...

Many phenomena in life are periodic in nature. A task-based lesson asks scholars to explore one of these phenomena. They collect data showing the sunrise time of a specific location over the period of a year. Using the data, they create...

Learners sometimes struggle to understand the concept of adding and subtracting integers. Help them see the why behind their answers using the interactive number line. The values change as individuals adjust the number line for each new...

Looking for a strategy to organize the information related to transformations? The materials ask pupils to identify a sequence of rigid transformations, identify corresponding angles and sides, and write a congruence statement. They...

Why are right triangles so special? Pupils begin their study of right triangles by examining similar right triangles. Verifying through proofs, scholars recognize the three similar right triangles formed by drawing the altitude. Once...

Learners explore linear functions concretely using tables of values in a cooperative task. The concept of the values of linear functions changing by equal differences over equal intervals of one is emphasized. Learners will discover...

Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...

Model geometric concepts through a hands-on approach. Learners apply similar triangle relationships to solve for an unknown side length. Before they find the solution, they describe the transformation to help identify corresponding sides.

Your learners will make good use of the Socratic method in a collaborative task that begins with an assumed solution and ends with deeper understanding of the idea of determining two triangles congruent.

How do you get a theorem named after you? Euler knows what it takes! The third lesson of five asks pupils to use an interactive activity to compare the faces, vertices, and edges of seven different three-dimensional solids. They use...

What financial situations and decisions await young learners after they graduate from high school? This project allows class members to glimpse into the types of responsibilities they will have as adults, from considering job...

Playing with mathematics can invoke curiosity and excitement. As pupils construct triangles with given criteria, they determine the necessary requirements to support similarity. After determining the criteria, they practice...

Explore angle relationships created by parallel lines and transversals. The 13th lesson of 18 prompts scholars use transparency paper to discover angle relationships related to transversals. Learners find out that these angles pairs are...

What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods. 

The form of a quadratic function paints a picture of its graph. Young mathematicians explore this connection by locating key features on a graph and then writing the corresponding equations. The interactive tutorial highlights key...

Linear, quadratic, and now cubic functions can model real-life patterns. High schoolers create cubic regression equations to model different scenarios. They then use the regression equations to make predictions.

Keep your pets slim, trim, and healthy using mathematics! Pupils use a linear programming model to optimize the amount and type of food to provide to a pet rabbit. They model constraints by graphing inequalities and use them to analyze a...

Build confidence in proofs by proving a known property. Pupils explore two approaches to proving base angles of isosceles triangles are congruent: transformations and SAS. They then apply their understanding of the proof to more complex...

Math is all about finding solutions and connections you didn't expect! Young mathematicians often first discover nonlinear patterns when graphing quadratic functions. The lesson begins with the vocabulary of a quadratic graph and uses...

Class members perform complex operations on a plane in the 17th segment in the 32-part series. Learners first verify that multiplication by the reciprocal does the same geometrically as it does algebraically. The class then circles back...

Discover the result of a sequence of rotations about different centers. Pupils perform rotations to examine the patterns. They also describe the sequence of rotations that performed to reach a desired result in the ninth installment in a...

Combine vectors and matrices to describe transformations in space. Class members create visual representations of the addition of ordered pairs to discover the resulting parallelogram. They also examine the graphical representation...

Show scholars the importance of recognizing a normal curve within a set of data. Learners analyze normal curves and calculate mean and standard deviation.