EngageNY
Unknown Angle Problems with Inscribed Angles in Circles
We know theorems about circles—now what? Class members prove a theorem, with half the class taking the case where a point is inside the circle and half the class taking the case where a point is outside the circle. The lesson then...
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, and...
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 (p, 0).
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
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...
Bowland
In the Olympics, are Women Improving Faster than Men?
Will the time come when women outperform men at the Olympic Games?Scholars investigate gender differences in Olympic Games performances. They study the historical participation of women and then analyze data to determine if women will...
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 they...
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...
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 good? Here...
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 parallel and...
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