EngageNY
Exploiting the Connection to Cartesian Coordinates
Multiplication in polar form is nice and neat—that is not the case for coordinate representation. Multiplication by a complex number results in a dilation and a rotation in the plane. The formulas to show the dilation and rotation are...
EngageNY
Multiplication of Numbers in Exponential Form
Develop a solid understanding of multiplication and division properties of exponents. Individuals expand exponential terms to discover the patterns and create the properties in the second installment in a series of 15. The activity...
Curated OER
Express Yourself Lesson Seed 14: Dedication
Connect Martin Luther King Jr's famous speech, "I Have a Dream," to The Cay by Theodore Taylor. Taylor refers to the speech in his dedication, which creates a natural segue into talking about the speech and how it relates to the novel....
EngageNY
The Side-Angle-Side (SAS) and Side-Side-Side (SSS) Criteria for Two Triangles to Be Similar
Playing with mathematics can invoke curiosity and excitement. As pupils construct triangles with given criteria, they determine the necessary requirements to support similarity. After determining the criteria, they practice...
EngageNY
Prove the Pythagorean Theorem Using Similarity
Amaze your classes with the ability to find side lengths of triangles immediately — they'll all want to know your trick! Learners use the Pythagorean Theorem and special right triangle relationships to find missing side lengths.
EngageNY
Scaling Principle for Volumes
Review the principles of scaling areas and draws a comparison to scaling volumes with a third dimensional measurement. The exercises continue with what happens to the volume if the dimensions are not multiplied by the same...
EngageNY
The Angle Measure of an Arc
How do you find the measure of an arc? Learners first review relationships between central and inscribed angles. They then investigate the relationship between these angles and their intercepted arcs to extend the Inscribed Angle Theorem...
EngageNY
Ptolemy's Theorem
Everyone's heard of Pythagoras, but who's Ptolemy? Learners test Ptolemy's Theorem using a specific cyclic quadrilateral and a ruler in the 22nd installment of a 23-part module. They then work through a proof of the theorem.
EngageNY
The Graph of the Natural Logarithm Function
If two is company and three's a crowd, then what's e? Scholars observe how changes in the base affect the graph of a logarithmic function. They then graph the natural logarithm function and learn that all logarithmic functions can be...
EngageNY
Introduction to Networks
Watch as matrices break networks down into rows and columns! Individuals learn how a network can be represented as a matrix. They also identify the notation of matrices.
EngageNY
Coordinates of Points in Space
Combine vectors and matrices to describe transformations in space. Class members create visual representations of the addition of ordered pairs to discover the resulting parallelogram. They also examine the graphical representation...
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
First Consequences of FTS
Challenge the young mathematicians to find the exact coordinates of a dilated point. The fifth segment in a 16-part series introduces the class to the converse of the Fundamental Theorem of Similarity. Scholars use the theorem to...
EngageNY
Scientific Notation
Young mathematicians learn how scientific notation is meant to save time. Part 10, out of a series of 15, asks scholars to recognize the correct use of scientific notation and finish by adding and subtracting numbers using...
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...
Missouri Department of Elementary
Survivors
Developing a positive self-concept can sometimes be a challenge. Seventh graders engage in an activity that helps them identify their individual strengths and helps them recognize how these strengths can contribute to being a successful...
Curated OER
Individuality vs. Conformity
Spark an animated debate in your class! Young adults consider some of the fads or trends that are prevalent at their school, as well as their own level of participation in them. Just how much of a role does popular culture play in their...
US Citizenship and Immigration Services
Thanksgiving 2—The Pilgrim Story and My Immigrant Story
The tradition of the First Thanksgiving is really a story of immigration. Connect the feelings and customs of the early Pilgrims to the experiences of the immigrants in your class with an introduction to the 13 colonies, the Mayflower,...
Heritage Foundation
Crime and Punishment
You wouldn't give someone a 10-day timeout for eating a piece of candy. The US government, too, does not believe in unreasonable punishment. A variety of exercises exploring the clauses of the US Constitution prompts class members to...
National Woman's History Museum
Martha Hughes Cannon: Doctor, Wife, Mother, Senator
Each state is entitled to two statues in the National Statuary Hall Collection in Washington, D.C. After reading about Utah's debate over whether or not Martha Hughes Cannon should be represented by one of their statues, individuals...
American Chemical Society
Crushing Test
Solidify understanding of the properties of crystals by crushing them to compare hardness. After some class discussion, a procedure is planned, and then small groups go about making observations as they crush five different crystal...
Willow Tree
Measurement
Build a basic understanding of units of measure and create a great foundation for your learners. The activity gives a complete overview of everything measurement, from types of measurement to rounding to conversions — it has it all!
University of California
Impact of the California Missions on Native Americans
While the Spanish claimed to bring civilization to California indigenous peoples, in reality, they also brought violence and forced assimilation to European values. Primary sources, such as the reports of Catholic priests and Europeans...
Global Oneness Project
Documenting Architectural Heritage
Imagine going from being one of the richest, most important cities in the world to one of the poorest. Imagine the history captured in the architecture of such a city. Imagine these same now abandoned buildings being destroyed. How would...