Curated OER
Complexity Madness
Discuss different techniques for finding the area of a geometric shape, with a great visual guide. Using a real life example, learners calculate the area of a rectangle and a square.
Mathematics Vision Project
Quadratic Equations
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
Curated OER
Quaternions
In this quaternions worksheet, students solve and complete 7 different problems. First, they read and identify quaternions as expressions in a given form of ordinary real numbers. Then, students add and subtract a few problems by doing...
Curated OER
Complex Analysis: Complex Functions
In this complex function worksheet, students examine the properties of integrals of complex functions of a real variable, smooth arcs, and the Jordan Curve Theorem. This two-page worksheet contains approximately seven equations.
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
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...
Illustrative Mathematics
Chocolate Bar Sales
In this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...
Colorado Unit Writing Project
Simple Machines
Planning an elementary science unit has never been simpler! These twelve lessons guide young scientists through an exploration of simple machines and their many uses in the real world before asking them to apply their learning in the...
Cornell University
Fibers, Dyes, and the Environment
Nanofibers can be made through electrospinning or force spinning in order to reduce the negative impact on the environment. Pupils study the role of fibers and dye on the environment through a series of five hands-on activities. Then,...
Curated OER
Complex Analysis: Complex Function
In this complex function worksheet students identify the derivative of given functions and explore the rules of differentiation. This two-page worksheet contains explanations and examples, followed by ten problems.
Curated OER
Complex Analysis: The Complex Derivative
In this complex derivative worksheet, students determine the circle of a radius under the mapping principle. They identify analytic functions, and explore the relationship between real and imaginary parts of complex functions. This...
Curated OER
Complex Analysis: Complex Exponential
In this complex exponential instructional activity, students identify an entire function and explore how to show a function is analytic. This two-page instructional activity contains four problems, as well as explanations and examples.
Curated OER
Cutting Corners - Parts 1 and 2
Students use optimization concepts to design their own container. In this optimization lesson plan, students understand how the optimization concept is critical in calculus and why products are packaged the way they are.
Inside Mathematics
Patterns in Prague
Designers in Prague are not diagonally challenged. The mini-assessment provides a complex pattern made from blocks. Individuals use the pattern to find the area and perimeter of the design. To find the perimeter, they use the Pythagorean...
Fluence Learning
Writing About Informational Text: Everybody Can Bike
A three-part assessment challenges scholars to read informational texts in order to complete three tasks. Following a brief reading, class members take part in grand conversations, complete charts, and work in small groups to research...
Rainer Goebel
Brain Tutor 3D
The human brain is staggeringly complex, and its structure can seem impossible to grasp. This user-friendly app allows for exploration of the brain's anatomy, providing nomenclature, 3-D mapping, and functions.
Equality and Human Rights Commission
Balancing Human Rights
Everyone appreciates human rights, but what happens if the rights of an individual conflict with the rights of the larger group? Scholars explore real-life scenarios and debate when to limit rights and when to strictly enforce them. The...
Illustrative Mathematics
Fishing Adventures 2
This resource is part of a series which expects participants to be familiar with graphing inequalities on a number line. It is a word problem that asks your class to graph a discrete solution set and interpret it in the context of an...
EngageNY
Geometric Sequences and Exponential Growth and Decay
Connect geometric sequences to exponential functions. The 26th installment of a 35-part module has scholars model situations using geometric sequences. Writing recursive and explicit formulas allow scholars to solve problems in context.
Illustrative Mathematics
Computing Volume Progression 2
Once your geometers know how to apply the formula V = l w h, they will be ready to take on the fractional volume of a fish tank. Have your number crunchers swap heights so they can see that the fractional volume will not change.
Curated OER
Combining and Rewriting Sentences
Learners practice combining sentences using the conjunction handout provided. They search magazines and newspapers to identify combined sentences that use conjunctions. Finally, these are rewritten again as two separate sentences.
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 2)
Trying to find a linear transformation is like finding a needle in a haystack. The second lesson in the series of 32 continues to explore the concept of linearity started in the first lesson. The class explores trigonometric, rational,...
NASA
Rendezvous For Two
Imagine the challenge of getting the space shuttle to rendezvous with the International Space Station. Groups must determine the elliptical transfer orbit needed to get the space shuttle from its orbit to the orbit of the International...
Curated OER
Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.