EngageNY
Vectors and Translation Maps
Discover the connection between vectors and translations. Through the lesson, learners see the strong relationship between vectors, matrices, and translations. Their inquiries begin in the two-dimensional plane and then progress to the...
EngageNY
Linear and Nonlinear Expressions in x
Linear or not linear — that is the question. The lesson plan has class members translate descriptions into algebraic expressions. They take the written expressions and determine whether they are linear or nonlinear based upon the...
EngageNY
Addition and Subtraction Formulas 1
Show budding mathematicans how to find the sine of pi over 12. The third lesson in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using the distance...
EngageNY
Similarity
Use the coordinate plane to show two figures are similar. The lesson incorporates congruence transformations and dilations to move a figure on to another figure. Pupils determine that if a similarity transformation exists...
EngageNY
A Critical Look at Proportional Relationships
Use proportions to determine the travel distance in a given amount of time. The 10th installment in a series of 33 uses tables and descriptions to determine a person's constant speed. Using the constant speed, pupils write a linear...
EngageNY
Definition of Congruence and Some Basic Properties
Build a definition of congruence from an understanding of rigid transformations. The lesson asks pupils to explain congruence through a series of transformations. Properties of congruence emerge as they make comparisons to these...
EngageNY
Some Facts About Graphs of Linear Equations in Two Variables
Develop another way to find the equation of a line. The lesson introduces the procedure to find the equation of a line given two points on the line. Pupils determine the two points from the graph of the line.
EngageNY
Angle Sum of a Triangle
Prove the Angle Sum Theorem of a triangle using parallel line and transversal angle relationships. Pupils create a triangle from parallel lines and transversals. They find angle measures to show that the angles of a triangle must total...
Advocates for Human Rights
Migrants in the Media
Class members examine two documents—The Universal Declaration of Human Rights and The Rights of Migrants in the United States—and then use reports in the media to assess how well the US is doing in ensuring these rights.
EngageNY
Representing Proportional Relationships with Equations 2
Scholars determine how long it takes to build a birdhouse with the second activity on using equations with proportional relationships. The resource uses examples such as birdhouse building and produce prices to encourage pupils to write...
EngageNY
An Exercise in Changing Scales
Classmates create a scale drawing from another scale drawing, changing the scale in the process. Groups enlarge or reduce the scale of the drawing and discuss their processes.
EngageNY
The Long Division Algorithm
Two methods are always better than one! The eighth installment in this series asks pupils to convert decimals to fractions using two approaches. Individuals first use the more traditional approach of long division and then use reverse...
EngageNY
Relating Scale Drawings to Ratios and Rates
Enlargements and reductions are all about scale. The lesson plan introduces scale drawing to the class. Pupils determine whether the drawing is a reduction or an enlargement, and the constant of proportionality between the original and...
National Institute of Open Schooling
Radioactive Pollution
Radioactive pollutants can enter the body through ingestion, inhalation, absorption, or injection. The last lesson in a series of 36 introduces pupils to radioactive pollution. They study its sources, both natural and man-made, its...
National Institute of Open Schooling
Hydrocarbons
The vast majority of hydrocarbons humans use help fuel cars, homes, and provide energy. A comprehensive lesson teaches pupils all about hydrocarbons. From alkanes, alkenes, and alkynes to benzene, classes study the preparation of these...
National Institute of Food and Agriculture
Water Supply
Participate in three activities that look at the earth's limited water supply and the changes water goes through as it enters each phase of the water cycle. The resource is complete with three activities that demonstrate the changing...
EngageNY
Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers
Groups write and evaluate expressions for various phone plans and scenarios to find which is the best deal. They then compare different approaches to writing expressions for the same scenario and discuss the concept of equivalent...
EngageNY
Cones and Spheres
Explore methods for finding the volume of different three-dimensional figures. The 20th lesson in the 25-part series asks learners to interpret diagrams of 3-D figures and use formulas to determine volume. Scholars must use the...
EngageNY
Finding One Hundred Percent Given Another Percent
Class members solve problems to find the whole when given a percent. They use double line numbers and factors of hundred to help break the 100 percent into equal segments.
EngageNY
Angle Problems and Solving Equations
Learners build connections between algebra and geometry as they study equation solving. The ninth instructional activity in the series of 28 asks pupils to write equations using angle relationships. After writing equations to model...
EngageNY
Properties of Inequalities
Class members explore the meaning of inequality by comparing numbers and building number sentences. Using number cubes, pupils find numbers and compare them using inequality symbols. As the activity continues, operations are added to...
EngageNY
Chance Experiments with Equally Likely Outcomes
Take a deeper dive into equally likely probabilities. Pupils build upon their understanding of probability by determining sample spaces and outcomes. Individuals work with sample spaces and determine outcomes that are equally likely....
Global Oneness Project
At-Risk Communities
"Waiting to Move," a photo essay by Ciril Jazbec, brings into sharp focus the threats posed by climate change. Class members examine images of Shishmaref Island and the Native Alaskan Inupiate coastal villages that are impacted by rising...
CK-12 Foundation
Crash
Explore the chemistry behind the airbags that keep you safe in a collision. Using a simulation, your classes find the best gas to use to inflate an airbag. The simulation shows the time it takes to inflate to a maximum volume....
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