Worksheet
Curated OER

#### Number Theory: Modulus Math

For Students 8th - 11th
Practice the techniques associated with number theory. This 5-page worksheet has many different types of problems for the students to solve and is a great component for any number theory unit8.
Lesson Plan
EngageNY

#### Complex Number Division 2

For Teachers 11th - 12th Standards
Individuals learn to divide and conquer complex numbers with a little help from moduli and conjugates. In the second instructional activity on complex number division, the class takes a closer look at the numerator and denominator of the...
Lesson Plan
Curated OER

#### Glass Transition in a Rubber Ball

For Teachers 11th - Higher Ed
Young scholars illustrate the changes in the properties of a material at its glass transition point. They gather data which they use to construct graphs regarding elastic modules versus absorption modulus, tangent delta, and the effect...
Lesson Plan
EngageNY

#### Justifying the Geometric Effect of Complex Multiplication

For Teachers 11th - 12th Standards
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...
Lesson Plan
Texas Instruments

#### Complex Numbers: Plotting and Polar Form

For Teachers 9th - 12th Standards
Explore the concept of, and use the Ti-Nspire to, convert complex numbers into polar form. Then practice graphing complex numbers in the polar coordinate plane.
Lesson Plan
EngageNY

#### Discovering the Geometric Effect of Complex Multiplication

For Teachers 11th - 12th Standards
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...
Lesson Plan
Curated OER

#### Black Death Biology

For Teachers 11th - 12th
Learners in pairs explore the transmission of the Plague, through experimentation. Cooperative groups use the scientific method to solve the fictional problem of a bacteria spreading in the Amazon. Groups also create a vector to visually...
Lesson Plan
Curated OER

#### NUMB3RS Activity: Fresh Air and Parabolas

For Teachers 9th - 12th Standards
Explore parabolas and investigate linear and quadratic functions to solve problems symbolically and graphically. Also use parametric functions to display trajectories on a graphing calculator.
Lesson Plan
1
1
Curated OER

#### NUMB3RS Activity: Where’s the Source? Episode: “Undercurrents”

For Teachers 9th - 12th Standards
Several real-world problems are posed as a way to learn about vector fields in order to make some predictions after analyzing the data. The main problem comes from the tv show NUMB3RS and is based on solving a crime where a body has...
Lesson Plan
Curated OER

#### Engineering in a Calculus Classroom

For Teachers 11th - 12th
Learners solve several differential equations. In this calculus lesson, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.
Handout
2
2
Curated OER

#### Algebra Cheat Sheet

For Teachers 7th - 11th Standards
Full of info, this handout provides the rules, properties, and common mistakes found in an algebra course. This cheat sheet is a great resource for those hard-to-remember exponent rules and hyperbola equations, along with everything else...
Unit Plan
EngageNY

#### Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Activity
1
1
Curated OER

#### Complex Distance

For Teachers 10th - 12th Standards
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 concept....
Lesson Plan
2
2
Teach Engineering

#### Mechanics of Elastic Solids

For Teachers 10th - 12th Standards
Make the connection between Hooke's law and elasticity with an activity that introduces the class to the behavior of elastic materials. The resource defines stress and strain to calculate the modules of elasticity of materials and also...
Assessment
EngageNY

#### Mid-Module Assessment Task - Precalculus (module 1)

For Teachers 11th - 12th Standards
Individuals show what they know about the geometric representations of complex numbers and linearity. Seventeen questions challenge them to demonstrate their knowledge of moduli and operations with complex numbers. The assessment is the...
Lesson Plan
Cornell University

#### The Physics of Bridges

For Students 9th - 12th Standards
Stability is key when building a bridge. Scholars explore the forces acting upon bridges through an analysis of Newton's Laws and Hooke's Law. The activity asks individuals to apply their learning by building a bridge of their own.
Lesson Plan
EngageNY

#### Distance and Complex Numbers 1

For Teachers 11th - 12th Standards
To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...
Lesson Plan
EngageNY

#### Trigonometry and Complex Numbers

For Teachers 11th - 12th Standards
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...
Worksheet
Curated OER

#### Complex Analysis: Theorems Following Cauchy's Integral Formulas

For Students Higher Ed
In this integral formula, students explore how theorems are derived. They write proofs supporting Cauchy's Inequality, Liouville's Theorem, the Fundamental Theorem of Algebra, Gauss' Mean Value Theorem and Cauchy's Residue Theorem. ...
Lesson Plan
Curated OER

#### Determination of Tensile Stress-Strain Common Properties in Materials

For Teachers 11th - 12th
Learners demonstrate the relationship between stress and strain, then graph stress-strain curves for various common materials. Students interpret graphed results and discuss differences in mechanical properties of materials.
Lesson Plan
Curated OER

#### The Statistical Nature of Test Data

For Teachers 9th - 12th
Learners investigate the properties of various metals. They conduct an experiment and gather the data by putting into the proper statistical graphs. The data is analyzed and conclusions are formed according to the properties of the metals.