Curated OER

#### Number Theory: Modulus Math

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.

EngageNY

#### Complex Number Division 2

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...

Curated OER

#### Glass Transition in a Rubber Ball

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...

EngageNY

#### Justifying the Geometric Effect of Complex Multiplication

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...

Texas Instruments

#### Complex Numbers: Plotting and Polar Form

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.

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...

Curated OER

#### Black Death Biology

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...

Curated OER

#### NUMB3RS Activity: Fresh Air and Parabolas

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.

Curated OER

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

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...

Curated OER

#### Engineering in a Calculus Classroom

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.

Curated OER

#### Algebra Cheat Sheet

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...

EngageNY

#### Complex Numbers and Transformations

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...

Curated OER

#### Complex Distance

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....

Teach Engineering

#### Mechanics of Elastic Solids

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...

EngageNY

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

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...

Cornell University

#### The Physics of Bridges

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.

EngageNY

#### Distance and Complex Numbers 1

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...

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...

Curated OER

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

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. ...

Curated OER

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

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.

Curated OER

#### The Statistical Nature of Test Data

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.