EngageNY
Equations for Tangent Lines to Circles
Don't go off on a tangent while writing equations of tangent lines! Scholars determine the equations for tangent lines to circles. They attempt both concrete and abstract examples, such as a tangent line to the unit circle through...
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.
Achieve
Greenhouse Management
Who knew running a greenhouse required so much math? Amaze future mathematicians and farmers with the amount of unit conversions, ratio and proportional reasoning, and geometric applications involved by having them complete the...
EngageNY
Integer Exponents
Fold, fold, and fold some more. In the first installment of a 35-part module, young mathematicians fold a piece of paper in half until it can not be folded any more. They use the results of this activity to develop functions for the area...
EngageNY
Properties of Exponents and Radicals
(vegetable)^(1/2) = root vegetable? The fourth installment of a 35-part module has scholars extend properties of exponents to rational exponents to solve problems. Individuals use these properties to rewrite radical expressions in...
EngageNY
The Most Important Property of Logarithms
Won't the other properties be sad to learn that they're not the most important? The 11th installment of a 35-part module is essentially a continuation of the previous lesson, using logarithm tables to develop properties. Scholars...
EngageNY
Modeling with Exponential Functions
These aren't models made of clay. Young mathematicians model given population data using exponential functions. They consider different models and choose the best one.
West Contra Costa Unified School District
Investigating Similar Triangles
Let your use of the resource be in proportion to its usefulness. Pupils investigate similar triangles by measuring side lengths and considering given angle measures. The results of the investigation help develop generalizations about...
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 1)
Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...
Ashbrook Center at Ashland University
Federalist - Antifederalist Debates
Who should have the power—individual states or the federal government? Scholars research the arguments of the Federalists and Anti-Federalists during the formation of the United States Constitution. Online resources, including a vast...
Core Knowledge Foundation
Unit 5: Realms of Gold - Vol. 2 Poetry and Short Stories Teacher Guide
Seventh graders have a golden opportunity to learn how to read poems and short stories with a unit that introduces them to the techniques writers use to craft their works. They examine poems by William Carlos Williams and Edgar Allen Poe...
University of Utah
Analyze and Solve Linear Equations
Solve any issues you have with solving linear equations. Learners solve linear equations in one variable, starting with two-step equations, in the first chapter of a 10-part eighth-grade workbook series. They then progress to equations...
University of Utah
Integer Exponents, Scientific Notation and Volume
A one-stop resource for exponents, square and cube roots, scientific notation, and volume formulas guides learners through properties of exponents. As they learn to apply these properties to operations with scientific notation,...
NOAA
Ocean Layers II
Now that you know the ocean has layers, let's name them. The seventh installment of a 23-part NOAA Enrichment in Marine sciences and Oceanography (NEMO) program covers terminology associated with ocean layers, such as thermocline and...
West Contra Costa Unified School District
Finding the Equation of a Circle
Tired of going around and around for a resource on circles? Scholars determine the general equation of a circle on a coordinate plane, then participate in an activity matching equations to the radii and centers of the circles...
Teach Engineering
Exploring the Lotus Effect
The Lotus Effect ... is it not some kind of yoga pose. In the last installment of a nine-part series, young scientists observe the Lotus Effect on lotus leaves and water-repellent cloths. They observe how motion and damage affect the...
Teach Engineering
The Temperature Effect
How temperature affects the efficiency of a solar panel is the focus of the third in a series of eight resources that presents how engineers are able to control the temperatures of photovoltaic panels. Class members find out how the...
Personal Genetics Education Project
Engineering the World Around Us: Genome Editing and the Environment
Challenge young minds to build a better world with genetic engineering. Biologists learn potential solutions for environmental issues using genome editing while interacting with three case studies. Scholars read articles and view...
University of Chicago
Exercise in Conflict Resolution
How do major religions, including Judaism, Christianity, and Islam, differ in how they view the role of individual freedoms within society, the definition of morality, and the importance of politically satisfying the greater...
Houghton Mifflin Harcourt
Core Analysis Frame: Poetry
Dig deep into any piece of poetry with a set of analysis questions. Ponder the content, form, and language of poetry and provide some question for critique. The first two pages include general questions, and the remainder of the document...
Mathematics Assessment Project
Representing Probabilities: Medical Testing
Test probability concepts with an activity that asks pupils to first complete a task investigating false positive in medical testing and then to evaluate sample responses to the same task.
Mathematics Assessment Project
Solving Linear Equations in Two Variables
Solving problems about pen and paper with systems of equations ... or is it the other way around? In the lesson, learners first interpret expressions and use equations in two variables to solve problems about notebooks and pens. They...
University of Utah
Representations of a Line
Line up to learn about lines! Scholars discover how to express patterns as linear functions. The workbook then covers how to graph and write linear equations in slope-intercept form, as well as how to write equations of...
University of Utah
Rational and Irrational Numbers
Conquer any irrational fears you might have of irrational numbers. As class members investigate how to represent numbers geometrically, they learn about rational and irrational numbers, including approximating and ordering rational...
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