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...
EngageNY
Another Computational Model of Solving a Linear System
The process of elimination really works! Use elimination when substitution isn't doing the job. The 29th segment in a series of 33 introduces the elimination method to solving linear systems. Pupils work several exercises to grasp the...
West Contra Costa Unified School District
Conics Introduction and Parabolas
Where did conic sections get their name? The equation and graph of a parabola are developed from the definition of the conic section. Teacher examples on graphing the equation and writing an equation from the graph round out the plan.
West Contra Costa Unified School District
Talking About Distance, Rate and Time
Connect the tortoise and the hare fable to mathematics. Learners first identify key terms related to distance, rate, and time. They then solve distance/rate/time problems using different representations.
West Contra Costa Unified School District
Solving Systems of Inequalities
Don't throw away those transparency sheets just yet! Young scholars first review inequalities on a number line, then learn about graphing inequalities in the coordinate plane. Finally, they use overhead transparencies to create systems...
EngageNY
An Area Formula for Triangles
Use a triangle area formula that works when the height is unknown. The eighth installment in a 16-part series on trigonometry revisits the trigonometric triangle area formula that previously was shown to work with the acute triangles....
EngageNY
Searching a Region in the Plane
Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...
EngageNY
Comparing Linear Functions and Graphs
How can you compare linear functions? The seventh installment of a 12-part module teaches learners how to compare linear functions whose representations are given in different ways. They use real-world functions and interpret features in...
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...
University of Colorado
Distance = Rate x Time
Every year, the moon moves 3.8 cm farther from Earth. In the 11th part of 22, classes use the distance formula. They determine the distance to the moon based upon given data and then graph Galileo spacecraft data to determine its movement.
NASA
Supernova Chemistry
By measuring the wavelength, frequency, and intensity of electromagnetic radiation, scientists determine the temperature, density, and composition of far away items. Scholars rotate through ten lab stations using a spectroscope at each...
University of Colorado
Happy Landings: A Splash or a Splat?
Huygens spacecraft landed on Saturn's moon Titan in 2005, making it the farthest landing from Earth ever made by a spacecraft. In this hands-on activity, the 12th installment of 22, groups explore how density affects speed. To do this,...
EngageNY
Proof of the Pythagorean Theorem
What does similarity have to do with the Pythagorean Theorem? The activity steps through the proof of the Pythagorean Theorem by using similar triangles. Next, the teacher leads a discussion of the proof and follows it by an animated...
Federal Reserve Bank
Important Financial Documents
Emergencies usually come by surprise — preparation is key. Help to reduce anxiety of the unknown by having a financial plan in place for when they arise. Important documents are gathered and action plans are documented.
Federal Reserve Bank
Creating a Budget
Learning to create and maintain a budget is an important life skill. Guide individuals in the discovery of their spending habits and how to track them. They then use what they learned to create a budget and make decisions on where they...
NASA
What's the Frequency, Roy G. Biv?
While all light travels at the same speed, each color in the visible light spectrum contains a different wavelength and frequency. Scholars determine the relationship between frequency and wavelength as they complete the activity. They...
Federal Reserve Bank
Purchasing a Vehicle
Start your engines! Prevent negative car buying experiences by arming pupils with information. Prepare your young drivers to make informed decisions when they are ready to purchase a car. All aspects are considered from the type of car...
Federal Reserve Bank
Expense Tracking
Where does all your money go? Individuals keep a record of the money they spend over the course of 30 days. They then categorize where they are spending their money and write an essay detailing their findings.
Federal Reserve Bank
Cash Flow and Balance Sheets
What is your car worth? How much do you owe? Individuals create their personal cash flow and balance sheets. They learn the difference between an asset and liability using their personal information to complete the activity.
Federal Reserve Bank
Income Taxes
Most adults dread April 15 — tax day! Tax preparation can be intimidating even for adults. Build confidence by leading individuals through the process and then give them a scenario to practice. The exercise uses tax vocabulary to give...
Federal Reserve Bank
Your Credit Report
What is your credit score? How do you find it? Help your pupils answer these questions and more. They will access their free credit report and then analyze its meaning.
Federal Reserve Bank
Saving and Investing for the Long Term
Create savvy investors with an activity that uses an online resource to allow individuals to invest in the stock market. The teacher is able to track activity and progress. Stock tips and strategies are shared.
EngageNY
Multi-Step Ratio Problems
Use ratios to solve problems that are not proportions. The instructional activity has pupils solve multi-step ratio problems that involve fractional increases and decreases. The problems involve mark-ups, discounts, commissions, and...
EngageNY
Equations of Graphs of Proportional Relationships Involving Fractions
The 15th segment in a series of 22 uses examples that present proportional relationships with fractions. Pupils work through the problems and discover that the process is the same as it is with whole number values. Graphing the...