Lesson Plan
EngageNY

Solve for Unknown Angles—Angles in a Triangle

For Teachers 9th - 10th Standards
Assist your class with each angle of geometry as they use exterior angles to form linear pairs with adjacent interior angles. They cover multiple vocabulary terms and work practice problems, complete with justifications, before...
Lesson Plan
EngageNY

Reflections

For Teachers 9th - 10th Standards
Facilitate creativity in your math class as individuals learn the definition of a geometric reflection and correctly construct a model, as well as its reflected image. They use a perpendicular bisector and circles to elaborate on...
Lesson Plan
EngageNY

Making Scale Drawings Using the Ratio Method

For Students 9th - 10th Standards
Is that drawn to scale? Capture the artistry of geometry using the ratio method to create dilations. Mathematicians use a center and ratio to create a scaled drawing. They then use a ruler and protractor to verify measurements. 
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

General Prisms and Cylinders and Their Cross-Sections

For Teachers 9th - 10th Standards
So a cylinder does not have to look like a can? By expanding upon the precise definition of a rectangular prism, the lesson plan develops the definition of a general cylinder. Scholars continue on to develop a graphical...
Lesson Plan
EngageNY

Scale Factors

For Students 9th - 10th Standards
Is it bigger, or is it smaller—or maybe it's the same size? Individuals learn to describe enlargements and reductions and quantify the result. Lesson five in the series connects the creation of a dilated image to the result. Pupils...
Lesson Plan
EngageNY

Congruence Criteria for Triangles—AAS and HL

For Students 9th - 10th Standards
How can you prove it? Guide classes through an exploration of two possible triangle congruence criteria: AAS and HL. Learners connect this criteria to those previous learned and also explore criteria that does not work. The lesson...
Lesson Plan
EngageNY

The Distance from a Point to a Line

For Students 9th - 12th Standards
What is the fastest way to get from point A to line l? A straight perpendicular line! Learners use what they have learned in the previous lessons in this series and develop a formula for finding the shortest distance from...
Lesson Plan
Shodor Education Foundation

Triangle Area

For Teachers 6th - 9th Standards
While the lesson focuses on right triangles, this activity offers a great way to practice the area of all triangles through an interactive webpage. The activity begins with the class taking a square paper and cutting in in half; can they...
Lesson Plan
West Contra Costa Unified School District

Introduction to Conditional Probability

For Teachers 7th - 9th Standards
Here is a turnkey instructional activity that walks young statisticians through the development and uses of conditional probability. From dice games to surveys, Venn diagrams to frequency tables, the class learns how a given can...
Lesson Plan
EngageNY

What Lies Behind “Same Shape”?

For Teachers 8th Standards
Develop a more precise definition of similar. The lesson begins with an informal definition of similar figures and develops the need to be more precise. The class learns about dilations and uses that knowledge to arrive at a...
Lesson Plan
EngageNY

The Converse of the Pythagorean Theorem

For Teachers 8th Standards
Is it a right triangle or not? Introduce scholars to the converse of the Pythagorean Theorem with a lesson that also provides a proof by contradiction of the converse. Pupils use the converse to determine whether triangles with given...
Lesson Plan
EngageNY

Applications of the Pythagorean Theorem

For Students 8th Standards
Begin seeing the world through the lens of geometry! Use the 19th installment in a 25-part module to apply the Pythagorean Theorem to solve real-world problems. Individuals sketch situations resulting in right triangles such as the...
Lesson Plan
EngageNY

Similarity

For Teachers 8th Standards
Use the coordinate plane to show two figures are similar. The instructional activity incorporates congruence transformations and dilations to move a figure on to another figure. Pupils determine that if a similarity...
Lesson Plan
EngageNY

Rotations of 180 Degrees

For Students 8th Standards
What happens when rotating an image 180 degrees? The sixth lesson in the series of 18 takes a look at this question. Learners discover the pattern associated with 180-degree rotations. They then use transparency paper to perform the...
Lesson Plan
EngageNY

Graphs of Exponential Functions and Logarithmic Functions

For Teachers 10th - 12th Standards
Graphing by hand does have its advantages. The 19th installment of a 35-part module prompts pupils to use skills from previous lessons to graph exponential and logarithmic functions. They reflect each function type over a diagonal line...
Lesson Plan
EngageNY

The Geometric Effect of Some Complex Arithmetic 1

For Teachers 11th - 12th Standards
Translating complex numbers is as simple as adding 1, 2, 3. In the ninth lesson in a 32-part series, the class takes a deeper look at the geometric effect of adding and subtracting complex numbers. The resource leads pupils into what it...
Lesson Plan
EngageNY

Why Are Vectors Useful? 2

For Teachers 11th - 12th Standards
Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...
Lesson Plan
EngageNY

Informal Proof of the Pythagorean Theorem

For Students 8th Standards
Prove the Pythagorean Theorem using multiple informal proofs. Scholars first develop an understanding of the origins of the Pythagorean Theorem through proofs. They round out the lesson by using the theorem to find missing side lengths...
Lesson Plan
EngageNY

Four Interesting Transformations of Functions (Part 1)

For Students 9th - 10th Standards
Understanding how functions transform is a key concept in mathematics. This introductory lesson makes a strong connection between the function, table, and graph when exploring transformations. While the resource uses absolute value...
Lesson Plan
EngageNY

Distance and Complex Numbers 2

For Teachers 11th - 12th Standards
Classmates apply midpoint concepts by leapfrogging around the complex plane. The 12th lesson in a 32 segment unit, asks pupils to apply distances and midpoints in relationship to two complex numbers. The class develops a formula to find...
Lesson Plan
EngageNY

Inverse Trigonometric Functions

For Teachers 11th - 12th Standards
Build on the understanding of finding angles using trigonometric ratios. Pupils develop the definitions of inverse trigonometric functions by restricting their domains in the 13th lesson of a 16-part series. They use inverse functional...
Lesson Plan
Shodor Education Foundation

InteGreat

For Teachers 9th - Higher Ed Standards
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and...
Lesson Plan
West Contra Costa Unified School District

Derivative – Standard Definition

For Teachers 11th - Higher Ed
Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson begins with looking at limits of simple linear and rational functions, and leads to the definition of the...

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