Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...

A geometry module connects algebraic reasoning to geometry. It challenges scholars to investigate the slope criteria for parallel and perpendicular lines, prove theorems involving coordinate geometry, and write equations for circles and...

Your algebra learners analyze the value of an algebraic expression to decide if it will increase, decrease, or stay the same when one variable is changed as the others stay constant. Their collaborative efforts culminate with a written...

Your river sportsmen will explore an example of paddling upstream as they build functions modeling speed and time in terms of the speed of the current. They then use their algebraic models to interpret features of the function related to...

Learners solve vacation equations using tape in a lesson plan that utilizes tape diagrams to aid in understanding the algebraic steps involved in solving two-step linear equations. Groups work together to solve seven scenarios involving...

Here is a great set of eight scenarios that require the writing of a one-variable inequality and then solving to find the solution. This inequality word problem activity is then followed by the solutions to each of the eight problems.

Connect algebra and geometry on the coordinate plane. The eighth unit in a nine-part integrated course has pupils develop the distance formula from the Pythagorean Theorem. Scholars prove geometric theorems using coordinates...

When complicated algebraic expressions are involved, it is sometimes easier to use a table or graph to model a context. The exercises in this lesson are designed for business applications and require complex algebraic...

Help young mathematicians crack the code of word problems with this three-lesson series on problem solving. Walking students step-by-step through the process of identifying key information, creating algebraic equations, and finally...

If you use a fabulous lesson plan, then your pupils can become fabulous at solving equations. The 24th installment of 25 incorporates the use of if-then statements to illustrate the properties of equality used in solving two-step linear...

Take steps into sequences. An 11-lesson unit builds upon pupils' previous understanding of writing expressions to develop the idea of sequences. The resource explores both arithmetic and geometric sequences using recursive and explicit...

After discussing the difference between rational and irrational numbers, the class pratices simplifying, adding, and subtracting radical expressions. They play a game which involves passing around cards until they have matching hands of...

If you think Dr. Seuss has no place in a math classroom, then take a look at this resource. Based on the classic children's book Green Eggs and Ham, this sequence of activities engages children learning to model real-world contexts...

What does it mean to solve an equation? The resource revisits the concept of making a linear equation true. Classmates use algebraic methods to transform sides of equations to expressions with fewer terms. They use substitution to...

Solving a murder is like isolating a variable. Using a video on a murder mystery, the narrator introduces the idea of solving a literal equation for one variable. After solving several equations, the class comes up with a set of...

Is there one, none, or more? Through discussion or activity, scholars find the properties of an equation that will determine the number of solutions. They then use the properties discovered to figure out the number of solutions...

Learning how a bank account works is a useful tool. The exercise in the resource is to deduct rent from a checking account and create an equation from a description. Participants then graph the balance of the bank account versus months...

The 14th lesson in the unit has the class prove the nine general cases of the geometric representation of complex number multiplication. Class members determine the modulus of the product and hypothesize the relationship for the...

Video game characters move straight with matrices. The first day of a two-day lesson introduces the class to linear transformations that produce straight line motion. The 23rd part in a 32-part series has pupils determine the...

Here is where algebra learners begin to understand that a function is a rule, and for each input there is exactly one output. The commentary gets bogged down with information about the predator-prey relationship between the fox and...

Conjugating in the math classroom — and we're not talking verbs! The seventh lesson in a series of 32 introduces the class to the building blocks of complex number division. During the instruction, the class learns to find the...

Your algebra learners interpret algebraic expressions, in order to compare their structures, using a geometric context. They also discern how the two expressions are equivalent and represent a pattern geometrically and algebraically.

Your learners will practice many ways of describing data using coordinate algebra in this unit written to address many Common Core State Standards. Simple examples of different ways to organize data are shared and then practice problems...

Geometry learners touch the surface of how a global positioning system works. The end goal is to find the intersections of three different spheres geometrically and algebraically given their algebraic representations.