EngageNY
Interpreting the Standard Deviation
Does standard deviation work for non-symmetrical distributions, and what does it mean? Through the use of examples, high schoolers determine the standard deviation of a variety of distributions and interpret its...
EngageNY
Analyzing Residuals (Part 1)
Just how far off is the least squares line? Using a graphing calculator, individuals or pairs create residual plots in order to determine how well a best fit line models data. Three examples walk through the calculator procedure of...
EngageNY
More on Modeling Relationships with a Line
How do you create a residual plot? Work as a class and in small groups through the activity in order to learn how to build a residual plot. The activity builds upon previous learning on calculating residuals and serves as a...
Federal Reserve Bank
Financial Fables: Shopping Wisely with Olivia Owl
Cover two subjects with one lesson! First, dive into English language arts; read an eBook, answer comprehension questions, and complete a cause and effect chart about the financial fable, Shopping Wisely with Olivia Owl. Then, take...
Maryland Department of Education
The Concept of Diversity in World Literature Lesson 9: Debating Imperialism
To gain an understanding of Imperialism, class members read Rudyard Kipling's poem, "The White Man's Burden" and Mark Twain's essay, "To the Person Sitting in Darkness." Groups compare these perceptions of non-white cultures with the...
Delegation of the European Union to the United States
The Geography of Europe
What is the European Union? Where is it? Why is it? To begin a study of the EU, class members examine the physical geography of Europe and the size and population density of 28-member countries in comparison to non-member countries...
School Improvement in Maryland
Executive Order
After reading information about Executive Order #9066, class members assume the voice of an 18 year-old Japanese-American born in California and placed in an internment camp. Individuals then craft a letter to President Roosevelt...
School Improvement in Maryland
Political Systems: Advantages and Disadvantages
Every political system has advantages and disadvantages. To gain an understanding of these differences, groups investigate the political system of another country—oligarchy, monarchy, dictatorship, parliamentary—and prepare a...
Consumers Energy
The Cost of Electricity
How much is your toaster costing you every day? Young environmentalists calculate the monetary costs of household appliances based on their average consumption of wattage.
Caucus 101
Linkage Institutions: Interest Groups: Option A
How are elections really run and won? Learn about special interest groups, super PACs, and lobbyists with an engaging lesson about the caucus process. Young voters research specific interest groups and analyze their part in previous and...
EngageNY
Cyclic Quadrilaterals
What does it mean for a quadrilateral to be cyclic? Mathematicians first learn what it means for a quadrilateral to be cyclic. They then investigate angle measures and area in such a quadrilateral.
Massachusetts Department of Education
Similarity through Transformations
Create the ultimate miniature golf course. The 93-page model curriculum unit from the Massachusetts Department of Elementary and Secondary Education contains nine lessons on understanding similarity in terms of both Euclidean geometry...
EngageNY
Calculating Conditional Probabilities and Evaluating Independence Using Two-Way Tables (part 1)
Being a statistician means never having to say you're certain! Learners develop two-way frequency tables and calculate conditional and independent probabilities. They understand probability as a method of making a prediction.
EngageNY
Solve for Unknown Angles—Angles and Lines at a Point
How do you solve for an unknown angle? In this sixth installment of a 36-part series, young mathematicians use concepts learned in middle school geometry to set up and solve linear equations to find angle measures.
EngageNY
Modeling an Invasive Species Population
Context makes everything better! Groups use real data to create models and make predictions. Classmates compare an exponential model to a linear model, then consider the real-life implications.
EngageNY
Solution Sets to Inequalities with Two Variables
What better way to learn graphing inequalities than through discovering your own method! Class members use a discovery approach to finding solutions to inequalities by following steps that lead them through the process and...
EngageNY
Transformations of the Graphs of Logarithmic and Exponential Functions
Transform your lesson on transformations. Scholars investigate transformations, with particular emphasis on translations and dilations of the graphs of logarithmic and exponential functions. As part of this investigation, they examine...
EngageNY
Choosing a Model
There's a function for that! Scholars examine real-world situations to determine which type of function would best model the data in the 23rd installment of a 35-part module. It involves considering the nature of the data in addition to...
EngageNY
An Appearance of Complex Numbers 1
Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....
EngageNY
The Geometric Effect of Multiplying by a Reciprocal
Class members perform complex operations on a plane in the 17th segment in the 32-part series. Learners first verify that multiplication by the reciprocal does the same geometrically as it does algebraically. The class then circles back...
EngageNY
Newton’s Law of Cooling
As part of an investigation of transformations of exponential functions, class members use Newton's Law of Cooling as an exponential model to determine temperature based on varying aspects. The resource makes comparisons between...
EngageNY
Properties of Parallelograms
Everyone knows that opposite sides of a parallelogram are congruent, but can you prove it? Challenge pupils to use triangle congruence to prove properties of quadrilaterals. Learners complete formal two-column proofs before moving on to...
EngageNY
Correspondence and Transformations
Looking for a strategy to organize the information related to transformations? The materials ask pupils to identify a sequence of rigid transformations, identify corresponding angles and sides, and write a congruence statement. They...
University of Colorado
Looking Inside Planets
Researchers use scientific data to understand what is inside each of the planets. The first in a series of six, this lesson builds off of that concept by having pupils use a data table to create their own scale models of the interiors of...
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