Show your classes the importance of mathematics in something as simple as bicycle design. The final lesson in the six-part STEM series has each group research a different aspect of the bicycle. Learners use mathematical formulas, linear...

Not only is pattern recognition an essential skill for young children to develop, it's also a lot of fun to teach! Over the course of this instructional activity, class members participate in shared readings, perform small...

How do you build a polygon from an inequality? An engaging lesson challenges pupils to do just that. Building from the previous lesson in this series, learners write systems of inequalities to model rectangles, triangles, and even...

Review the multiple methods of solving quadratic equations through an analysis of the discriminant. Scholars use the discriminant to determine the best solution method and then solve various equations. As a challenge, learners build...

You can't go wrong with a lesson that involves candy! Learners solve and graph one-variable inequalities and use candy to graph the solution. Individuals associate open circle graphs with life savers and closed circle graphs with round...

Introduce pupils to the two types of reasoning, inductive and deductive. Classmates work in pairs or small groups to learn the difference between the two and apply these reasonings to develop valid conclusions. 

Learn how to represent functions in multiple ways. Learners analyze functions as equations, graphs, and verbal descriptions. The analysis includes intercepts, behavior, domain, and range. The module of seven lessons makes up the third...

Help remove some of the confusion surrounding the addition and subtraction of radical numbers with this set skills practice problems. Taken straight from the pages of a math text book, this resource provides learners with...

Learners explore, discover, compare, and contrast arithmetic and geometric sequences in this collaborative, hands-on activity. They build and analyze growing patterns to distinguish which kind of sequence is represented by a set of data...

Proofs are usually an intimidating assignment. An engaging lesson focused on geometric proofs may reduce the anxiety! Pupils choose between several triangle proofs to complete and work on completing them. The...

You can't see patterns in a jumble of numbers ... so organize them! Learners take a set of data and use a line plot to organize the numbers. From the line plot, they find minimum, maximum, mean, and make other conclusions about the...

Should matrices be allowed to commute when they are being multiplied? Learners analyze this question to determine if the commutative property applies to matrices. They connect their exploration to transformations, vectors, and complex...

Explore properties of addition as they relate to matrices. Using graphical representations of vector matrices, scholars test the commutative and associative properties of addition. They determine if the properties are consistent for...

Explore how to compare and analyze different strategies. In the 20th installment of a 21-part module, scholars continue their analysis of decisions and strategies from the previous lesson. They then extend this concept to hypothesis...

How can you compare linear functions? The seventh installment of a 12-part module teaches learners how to compare linear functions whose representations are given in different ways. They use real-world functions and interpret features in...

The density of the huge planet of Saturn is 0.7 g/cm3, which means it could float in water! In the second part of 22, science pupils explore the size and order of the planets. They then calculate weight and/or gravity and density of...

What makes a good best-fit line? In the 10th part of a 16-part module, scholars learn how to analyze trend lines to choose the best fit, and to write equations for best-fit lines to make predictions.

Show learners how to develop a procedure for solving equations using radicals with the fifth lesson of the 25-part module that challenges learners to use properties to solve multi-step quadratic and cubic equations. Individuals round out...

Examine key features of various functions through exploration. A comprehensive lesson has learners describe the domain, range, end behavior and increasing/decreasing intervals of various functions. Function types include linear,...

Analyze functions by decomposing complex functions and composing simple functions. Through a detailed lesson plan, pupils learn the vocabulary and notation related to the composition of functions. Practice includes both evaluating and...

Build on your class' understanding of real numbers as they begin working with complex numbers. Pupils begin with an exploration of i and the patterns in the powers of i. After developing a definition for i, they...

Explore angle relationships associated with transversals. Pupils construct parallel lines with a transversal and find the measures of the angles formed. They figure out how the different angles are related before constructing...

Predict the year that college costs will double in your state using linear modeling. The first part of this two-part project based learning activity asks young mathematicians to use data from the College Board. They graph the data,...

What happens to the momentum of an object when it strikes another object? Scholars roll a marble down a ramp so it collides with another marble. By measuring the speed of each marble before and after the collision, pupils answer this...