Quadratic solutions come in all shapes and sizes, so help your classes find the right one! Learners use the quadratic formula to find solutions for quadratic equations. Solutions vary from one, two, and complex. 

Have learners graph complex numbers to gain a visual and mathematical understanding of the distance and the midpoint between two complex numbers. This lesson is short, but to the point, and addresses an important complex number...

Time for matrices and complex numbers to come together. Individuals use matrices to add and multiply complex numbers by a scalar. The instructional activity makes a strong connection between the operations and graphical transformations.

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...

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...

What makes number pairs perfect? The resource provides five problems regarding perfect pairs of numbers, the definition of which changes in complexity with each task. Solutions require pupils to apply number sense and operations, as well...

Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra. 

The greater the degree, the more solutions to find! Individuals find the real solutions from a graph and use the Fundamental Theorem of Algebra to find the remaining factors. 

Capitalism, socialism, communism ... these may seem like a whole bunch of isms to your scholars. High schoolers won't  confuse them after completing an informative resource. Your class masters how to use primary sources to...

Students describe a complex path by the use of adding vectors. They comprehend the difference betwee scalar and vector quanitities. Students disucss the naviagation lab. They are explained the procedures for the lab. Students are...

Students describe a complex path by the use of adding vectors. They are explained the procedures and rules of the balloon car race. Students are remined that the summary and answers to the questions are due Monday. They are given the...

The relationships within and between ecosystems can be explored. after examining an area for living and non-living things students complete the same examination in the forest ecosystem. Students identify abiotic and biotic elements in an...

Zero in on your pupils' understanding of solving quadratic equations. Spend time developing the purpose of the zero product property so that young mathematicians understand why the equations should be set equal to zero and how that...

The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...

I always knew there was a connection between art and math, and this lesson proves it. Fifth graders will use what they know about ratios and percents to design art inspired by Polynesian kapa cloth. A grid, specific guidelines, and the...

Students examine the different features of culture. They determine which features are visible and invisible. They describe how the two types affect each other.

Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and  plot width v. area on a...

Students discover the basics of the human heart and how it functions. They examine the whole circulatory system and how an electric heart would work inside the human body. They can choose to perform their own surgery by following...

Students are introduced to the concepts of latitude and longitude. In groups, they identify the Earth's magnetic field and the disadvantages of using compasses for navigation. They identify the major lines of latitude and longitude on a...

Students complete a pretest as practice for their review. In this precalculus lesson, students find the distance between points and the trigonometric identity of the sine, cosine and tangent. They solve problems using complex and...

Students conduct an experiment. In this forms of water lesson, students observe ice to see what changes take place and then write in their journal about what they observed.

Tenth graders investigate the three D world of building. In this geometry lesson, 10th graders investigate math as it relates to the real world, increasing their perspective on mathematical concepts. They realize there is more to math...

Students explore and examine scientific language and categorization as related to commonly known plants and animals. They hypothesize about a specific plant or animal, how it was scientifically named, what concepts and vocabulary is...

Students examine protein, what it is and how it functions in the body.  In this protein lesson students study the food pyramid, what a protein is and what it does.