Curated OER
Complex Analysis: Cauchy's Integral Formula
In this integral formula worksheet, students evaluate integrals. This worksheet contains examples and explanations of Cauchy's Integral Formula, as well as higher derivatives of analytical functions. There are nine problems on this...
Curated OER
The Glorious Whitewasher
Young readers can be exposed to the literary works of Mark Twain as they interact with challenging text and gain experience by reading the complex passages of chapter two "The Glorious Whitewasher" from his famous book, The Adventures of...
Curated OER
Persuasion as Text: Organizational, Grammatical, and Lexical Moves in Barbara Jordan’s "All Together Now"
A thorough lesson plan on persuasive writing takes middle schoolers through several activities, including group discussion, collaborative posters, and independent writing. They compare historical speeches and analyze the persuasive...
EngageNY
End-of-Module Assessment Task: Pre-Calculus Module 2
Assess pupil understanding of the relationship between matrices, vectors, linear transformations, and parametric equations. Questions range from recall to more complex levels of thinking. Problems represent topics learned throughout the...
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 1)
Not all linear functions are linear transformations — show your class the difference. The first instructional activity in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear...
Curated OER
Bloodstain Pattern Simulations: A Physical Analysis
Students receive bloodstain pattern evidence from a crime scene. They answer a series of questions through inquiry, observation, measurement, and analysis. Pupils complete this challenge, by reconstructing the evidence through four...
EngageNY
Adding and Subtracting Rational Expressions
There's a fine line between a numerator and a denominator! Learners find common denominators in order to add and subtract rational expressions. Examples include addition, subtraction, and complex fractions.
EngageNY
Solving Rational Equations
What do fractions and rational expressions have in common? Everything! Learners use common denominators to solve rational equations. Problems advance from simple to more complex, allowing pupils to fully understand the material before...
EngageNY
Modeling a Context from a Verbal Description (part 1)
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 expressions.
EngageNY
Why Were Logarithms Developed?
Show your class how people calculated complex math problems in the old days. Scholars take a trip back to the days without calculators in the 15th installment of a 35-part module. They use logarithms to determine products of numbers and...
EngageNY
Designing Your Own Game
Your classes become video game designers for a day! They utilize their matrices, vectors, and transformation skills to create and design their own game images. The complex task requires learners to apply multiple concepts to create their...
EngageNY
Applications of Systems of Equations and Inequalities
Is the application of systems of equations giving your class headaches? Use this resource to build on your pupils' logic to lead them to building equations and using algebraic methods. The lesson begins with an exploration of solving...
Curated OER
Chaucer's Wife of Bath
A thorough and well-designed resource for older students, this lesson focuses on Chaucer's character the Wife of Bath from his classic novel, The Canterbury Tales. As a way of understanding Chaucer's complex characterization and...
Curated OER
Inquiry Unit: Modeling Maximums and Minimums
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 scatter...
Curated OER
Ohm's Law: Getting There Hands On
Young scientists inductively derive Ohm's Law of voltage, resistance, and current by creating series and parallel circuits with 9-volt batteries and light bulbs. A week's worth of experiments, observation, and hands-on activities are...
Virginia Department of Education
States and Forms of Energy
Energy is just energy, right? Explain various forms of energy to your young scientists by using an interactive experiment that contains common objects to demonstrate complex concepts. Pupils conduct experiments for radiant, thermal,...
Curated OER
Area Under A Curve
Calculus young scholars use the derivative and integral to solve problems involving areas. They calculate the area under a curve as they follow a robot off road making different curves along the drive, using Riemann Sums and Trapezoidal...
Curated OER
Complex Analysis: Path Independence
In this path independence worksheet, students evaluate contour integrals using the Cauchy-Goursat Theorem. This two-page worksheet contains approximately 5 problems.
Curated OER
Complex Analysis: Analyticity and Harmonic Functions
In this harmonic function learning exercise, students summarize the theorems on analyticity, differentiability and the Cauch-Rieman equation. They identify the characteristics of a harmonic function. This three-page learning exercise...
Curated OER
Complex Analysis: Harmonic Functions
In this harmonic function worksheet, students explore harmonic functions and construct a harmonic conjugate. This three-page worksheet contains three problems, with explanations and examples.
Curated OER
Complex Analysis: Linear Fractional Transformations
In this transformation worksheet, students explore linear transformations and mappings. They map equations on a coordinate plane. This two-page worksheet contains approximately three problems.
Curated OER
Complex Analysis: Cauchy's Residue Theorem
For this residue theorem worksheet, students find the poles of a function classify all singularities of a function, and compute the residues of that function. This two-page worksheet contains explanations and examples, as well as five...
EngageNY
Obstacles Resolved—A Surprising Result
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.
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,...