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
Arc Length and Areas of Sectors
How do you find arc lengths and areas of sectors of circles? Young mathematicians investigate the relationship between the radius, central angle, and length of intercepted arc. They then learn how to determine the area of sectors of...
EngageNY
Properties of Tangents
You know about the tangent function, but what are tangent lines to a circle? Learners investigate properties of tangents through constructions. They determine that tangents are perpendicular to the radius at the point of tangency,...
EngageNY
Tangent Segments
What's so special about tangents? Learners first explore how if a circle is tangent to both rays of an angle, then its center is on the angle bisector. They then complete a set of exercises designed to explore further properties and...
EngageNY
Secant Lines; Secant Lines That Meet Inside a Circle
Young mathematicians identify different cases of intersecting secant lines. They then investigate the case where secant lines meet inside a circle.
EngageNY
Recognizing Equations of Circles
What does completing the square have to do with circles? Math pupils use completing the square and other algebraic techniques to rewrite equations of circles in center-radius form. They then analyze equations of the form x^2 + y^2 + Ax +...
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.
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 1)
Not all linear functions are linear transformations — show your class the difference. The first instructional activity in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear...
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...
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...
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 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...
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...
Teach Engineering
Creepy Silly Putty
It might be silly to determine the creep rate of putty but groups will enjoy making different formulations of silly putty and playing with them to understand how the different mixtures behave. The second part of the activity has groups...
Teach Engineering
Exploring Capillary Action
Explore capillary action from different perspectives. In the fourth installment of a nine-part series, scholars perform several experiments to observe capillary action. They look at the meniscus of water in a glass, observe capillary...
Teach Engineering
Wetting and Contact Angle
Explore terminology related to water droplets. The sixth installment of a nine-part series teaches young scientists about wetting and contact angles between water droplets and surfaces. It also distinguishes between hydrophobic and...
Teach Engineering
Investigating Contact Angle
Discover the properties of water-loving and water-hating surfaces. In the seventh installment of a nine-part series, scholars explore hydrophilic and hydrophobic surfaces by conducting an experiment. They observe surface coatings,...
Teach Engineering
What Does Light See?
The second installment of a seven-part series focuses on the refraction of light and how it affects the colors we see. Learners consider how this concept connects to biosensors for cancer detection.
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