EngageNY
Exploiting the Connection to Trigonometry 1
Class members use the powers of multiplication in the 19th installment of the 32-part unit has individuals to utilize what they know about the multiplication of complex numbers to calculate the integral powers of a complex number. Groups...
EngageNY
Representing Reflections with Transformations
In the 16th lesson in the series of 32 the class uses the concept of complex multiplication to build a transformation in order to reflect across a given line in the complex plane. The lesson breaks the process of reflecting across a line...
EngageNY
Discovering the Geometric Effect of Complex Multiplication
Does complex number multiplication have the class spinning? Here's a resource that helps pupils explore and discover the geometric effect of multiplying complex numbers. In the 14th installment in the 32-part unit groups look at the unit...
EngageNY
Trigonometry and Complex Numbers
Complex numbers were first represented on the complex plane, now they are being represented using sine and cosine. Introduce the class to the polar form of a complex number with the 13th part of a 32-part series that defines the argument...
EngageNY
Distance and Complex Numbers 2
Classmates apply midpoint concepts by leapfrogging around the complex plane. The 12th instructional activity in a 32 segment unit, asks pupils to apply distances and midpoints in relationship to two complex numbers. The class develops a...
EngageNY
The Geometric Effect of Some Complex Arithmetic 2
The 10th lesson in a series of 32, continues with the geometry of arithmetic of complex numbers focusing on multiplication. Class members find the effects of multiplying a complex number by a real number, an imaginary number, and another...
EngageNY
The Geometric Effect of Some Complex Arithmetic 1
Translating complex numbers is as simple as adding 1, 2, 3. In the ninth instructional activity in a 32-part series, the class takes a deeper look at the geometric effect of adding and subtracting complex numbers. The resource leads...
EngageNY
An Appearance of Complex Numbers 1
Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 1)
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...
Teach Engineering
Microfluidic Devices and Flow Rate
When you have to flow, you have to flow. The lesson introduces class members to microfluidic devices and their uses in medicine. They watch a short video on how the diameter affects the rate of flow. The worksheet has individuals...
Teach Engineering
Skeletal System Overview
It is best to know all about the skeletons in the closet. The third segment in a five-part series focuses on bone structure, development and growth, and functions. Class members connect what they learn to their study of osteoporosis.
Teach Engineering
Electromagnetic Radiation
How can nanoparticles be used in the battle against skin cancer. Class members take on the question as they gather information about electromagnetic radiation, specifically ultraviolet radiation. Pupils learn about the mathematical...
Teach Engineering
Forms of Linear Equations
Linear equations are all about form. The fifth part in a unit of nine works with the different equivalent forms of linear equations. Class members become familiar with each form by identifying key aspects, graphing, and converting from...
Kuta Software
Identifying Solid Figures
Reinforce basic geometry skills in an elementary math lesson. A simple worksheet prompts learners to identify and label 3-D shapes.
ESL Holiday Lessons
Kwanzaa
Teach English language learners about the week-long holiday of Kwanzaa that is celebrated around the world during December. It includes holiday-themed reading comprehension passages, phrase matching, fill-in-the-blanks, and journaling...
EngageNY
When Can We Reverse a Transformation? 2
The second lesson plan on finding inverse matrices asks class members to look for a pattern in the inverse matrix and test it to see if it works for all matrices. The teacher leads a discussion to refine the process in finding inverses,...
Teach Engineering
Graphing Equations on the Cartesian Plane: Slope
Slopes are not just for skiing. Instructors introduce class members to the concept of slope and teach them how to calculate the slope from a graph or from points. The lesson also includes the discussion of slopes of parallel and...
Yummy Math
2015 Macy's Thanksgiving Parade
Take a seat on the parade route with a holiday-themed set of word problems. Young mathematicians answer questions based on the annual Macy's Thanksgiving Parade in New York City, including finding the average number of members in a...
K12 Reader
The Mayflower
The journey aboard the Mayflower in 1620 was long and arduous for the Pilgrims set for the New World. Learn about the difficulties of the expedition, including the extended timeframe and cramped quarters, with an informative reading...
Yummy Math
Really Big Pumpkins
You may think your holiday pumpkins weigh a ton, but in a giant pumpkin contest, they actually do! Middle schoolers read about the winners of the 2014 giant pumpkin contests before solving three word problems involving multiplication and...
EngageNY
Matrix Multiplication and Addition
To commute or not to commute, that is the question. The 26th segment in a 32-segment lesson focuses on the effect of performing one transformation after another one. The pupils develop the procedure in order to multiply two 2 X 2...
EngageNY
Modeling Video Game Motion with Matrices 1
Video game characters move straight with matrices. The first day of a two-day instructional activity introduces the class to linear transformations that produce straight line motion. The 23rd part in a 32-part series has pupils determine...
EngageNY
Exploiting the Connection to Trigonometry 2
The class checks to see if the formula for finding powers of a complex number works to find the roots too. Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about how to reverse...
EngageNY
The Geometric Effect of Multiplying by a Reciprocal
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...