Lesson Plan
EngageNY

Incredibly Useful Ratios

For Students 9th - 10th Standards
Start the exploration of trigonometry off right! Pupils build on their understanding of similarity in this lesson that introduces the three trigonometric ratios. They first learn to identify opposite and adjacent...
Lesson Plan
EngageNY

The Definition of Sine, Cosine, and Tangent

For Students 9th - 10th Standards
Introduce your classes to a new world of mathematics. Pupils learn to call trigonometric ratios by their given names: sine, cosine, and tangent. They find ratios and use known ratios to discover missing sides of similar...
Lesson Plan
EngageNY

Applying Tangents

For Students 9th - 10th Standards
What does geometry have to do with depression? It's an angle of course! Learners apply the tangent ratio to problem solving questions by finding missing lengths. Problems include angles of elevation and angles of depression. Pupils make...
Lesson Plan
EngageNY

Using Trigonometry to Determine Area

For Students 9th - 10th Standards
What do you do when you don't think you have enough information? You look for another way to do the problem! Pupils combine what they know about finding the area of a triangle and trigonometry to determine triangle area when they don't...
Lesson Plan
EngageNY

Applying the Laws of Sines and Cosines

For Students 9th - 10th Standards
Breaking the law in math doesn't get you jail time, but it does get you a wrong answer! After developing the Law of Sines and Cosines in lesson 33 of 36, the resource asks learners to apply the laws to different situations. Pupils must...
Lesson Plan
EngageNY

Unknown Angles

For Students 9th - 10th Standards
How do you solve an equation like trigonometry? Learners apply their understanding of trigonometric ratios to find unknown angles in right triangles. They learn the meaning of arcsine, arccosine, and arctangent. Problems include...
Lesson Plan
EngageNY

Grade 9 ELA Module 2: Unit 1, Lesson 2

For Teachers 9th Standards
Make up your mind to complete a lesson plan about "The Tell-Tale Heart" and forever rid yourself of simple sentence structures. As ninth graders analyze the first two paragraphs of Edgar Allan Poe's short story, they consider how text...
Lesson Plan
EngageNY

Grade 9 ELA Module 2: Unit 1, Lesson 3

For Teachers 9th Standards
Hearken! and observe how well a literary analysis unit can help ninth graders read closely and connect text structure to a central idea. Focusing on Edgar Allan Poe's "The Tell-Tale Heart," learners take notes and track the development...
Lesson Plan
EngageNY

Grade 9 ELA Module 2: Unit 1, Lesson 5

For Teachers 9th Standards
Eager readers have waited a long time, very patiently, for a set of literary analysis lessons that connect text structure to the work's central idea. As ninth graders continue reading "The Tell-Tale Heart," they focus on the central...
Lesson Plan
EngageNY

Grade 9 ELA Module 2, Unit 2, Lesson 2

For Teachers 9th Standards
Continue a thoughtful analysis of Sophocles' Oedipus the King by discussing the importance of dialogue within the play's structure. Ninth graders examine how Oedipus speaks about himself to his subjects and Creon before recording their...
Lesson Plan
EngageNY

Grade 9 ELA Module 2, Unit 2, Lesson 9

For Teachers 9th Standards
How can a prophecy be true if the future differs from what was foreseen? Sophocles entertains this question in Oedipus the King. Teiresias, Creon, and Oedipus have weighed in on the unsolved murder of Laius, and now Jocasta voices her...
Lesson Plan
EngageNY

Grade 9 ELA Module 2, Unit 2, Lesson 17

For Teachers 9th Standards
As Oedipus the King approaches its tragic conclusion, high schoolers discuss Oedipus' reaction to seeing his wife's body. They also examine how Sophocles structures the scene to contribute to the central idea of his play.
Lesson Plan
EngageNY

What Is Area?

For Teachers 9th - 10th Standards
What if I can no longer justify area by counting squares? Lead a class discussion to find the area of a rectangular region with irrational side lengths. The class continues on with the idea of lower approximations and...
Lesson Plan
EngageNY

Proving the Area of a Disk

For Teachers 9th - 10th Standards
Using a similar process from the first lesson in the series of finding area approximations, a measurement resource develops the proof of the area of a circle. The problem set contains a derivation of the proof of the circumference...
Lesson Plan
EngageNY

Grade 9 ELA Module 2, Unit 3, Lesson 1

For Teachers 9th Standards
"True-crime stories, murder mysteries, up-to-the-minute online news reports, and (as always) rumor and innuendo grab our attention faster than any call for justice, human rights, or ceasefires." Or so says Walter Mosley in his Newsweek...
Lesson Plan
EngageNY

Circles, Chords, Diameters, and Their Relationships

For Teachers 9th - 10th Standards
A diameter is the longest chord possible, but that's not the only relationship between chords and diameters! Young geometry pupils construct perpendicular bisectors of chords to develop a conjecture about the relationships between chords...
Lesson Plan
EngageNY

Arcs and Chords

For Teachers 9th - 10th Standards
You've investigated relationships between chords, radii, and diameters—now it's time for arcs. Learners investigate relationships between arcs and chords. Learners then prove that congruent chords have congruent arcs, congruent arcs have...
Lesson Plan
EngageNY

Recognizing Equations of Circles

For Teachers 9th - 12th Standards
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 +...
Lesson Plan
EngageNY

Successive Differences in Polynomials

For Students 10th - 12th Standards
Don't give your classes the third degree when working with polynomials! Teach them to recognize the successive differences and identify the degree of the polynomial. The lesson leads learners through a process to develop an understanding...
Lesson Plan
EngageNY

The Multiplication of Polynomials

For Students 10th - 12th Standards
If you can multiply multi-digit integers, you can multiply polynomials. Learners use an area model to compare multiplying numbers to multiplying polynomials. They progress to using the distributive property. 
Lesson Plan
EngageNY

Solving Radical Equations

For Students 10th - 12th Standards
Learners solve complex radical equations. Solutions vary from one, two, and none, allowing pupils to gain experience solving a variety of problems.
Lesson Plan
EngageNY

Analyzing a Data Set

For Teachers 9th - 10th Standards
Through discussions and journaling, classmates determine methods to associate types of functions with data presented in a table. Small groups then work with examples and exercises to refine their methods and find functions that work...
Lesson Plan
EngageNY

Sampling Variability in the Sample Mean (part 2)

For Students 10th - 12th Standards
Reduce variability for more accurate statistics. Through simulation, learners examine sample data and calculate a sample mean. They understand that increasing the number of samples creates results that are more representative of the...
Lesson Plan
EngageNY

Construct an Equilateral Triangle (part 2)

For Teachers 9th - 10th Standards
Triangles, triangles, and more triangles! In this second installment of a 36-part series, your young mathematicians explore two increasingly challenging constructions, requiring them to develop a way to construct three triangles that...

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