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Lesson Plan
EngageNY

Experiments and the Role of Random Assignment

For Students 10th - 12th Standards
Time to experiment with mathematics! Learners study experimental design and how randomization applies. They emphasize the difference between random selection and random assignment and how both are important to the validation of the...
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Lesson Plan
EngageNY

Margin of Error When Estimating a Population Mean (part 1)

For Students 10th - 12th Standards
We know that sample data varies — it's time to quantify that variability! After calculating a sample mean, pupils calculate the margin of error. They repeat the process with a greater number of sample means and compare the results.
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Lesson Plan
EngageNY

Ruling Out Chance (part 3)

For Students 10th - 12th Standards
Pupils analyze group data to identify significant differences. They use simulation to create their own random assignment data for comparison. 
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Lesson Plan
West Contra Costa Unified School District

Polynomial Division

For Teachers 10th - 12th Standards
Multiply the ways your scholars can find the quotient with polynomial division. A lesson introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners then...
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Lesson Plan
1
1
Teach Engineering

Engineering Brainstorming

For Teachers 9th - 12th Standards
Here is a lesson plan that offers a great hybrid of forming new skills and using current knowledge to come up with a plan. The class brainstorms information they would need to know or already know about hybrid vehicles. They then group...
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Lesson Plan
1
1
Teach Engineering

An Introduction to Air Quality Research

For Teachers 9th - 12th
Viewers are a PowerPoint are exposed to the idea that pollutants are in more than just the air we breathe. the presentation provides information about the layers of the earth's atmosphere and takes a look at the pollutants in the...
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Lesson Plan
The New York Times

The One-Question Interview

For Teachers 7th - 12th Standards
Generate interest in current events, the theme of a new unit, or a research project. Individuals select a question from the list generated by the class, conduct one-on-one interviews, analyze the responses, draw conclusions based on...
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Lesson Plan
1
1
EngageNY

Properties of Exponents and Radicals

For Teachers 9th - 12th Standards
(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 terms...
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Lesson Plan
EngageNY

Solving and Graphing Inequalities Joined by “And” or “Or”

For Students 9th - 10th Standards
Guide your class through the intricacies of solving compound inequalities with a resource that compares solutions of an equation, less than inequality, and greater than inequality. Once pupils understand the differences, the...
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Lesson Plan
EngageNY

The Most Important Property of Logarithms

For Teachers 9th - 12th Standards
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 plan, using logarithm tables to develop properties. Scholars...
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Lesson Plan
EngageNY

Choosing a Model

For Teachers 10th - 12th Standards
There's a function for that! Scholars examine real-world situations to determine which type of function would best model the data in the 23rd installment of a 35-part module. It involves considering the nature of the data in addition to...
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Lesson Plan
EngageNY

Geometric Sequences and Exponential Growth and Decay

For Teachers 10th - 12th Standards
Connect geometric sequences to exponential functions. The 26th installment of a 35-part module has scholars model situations using geometric sequences. Writing recursive and explicit formulas allow scholars to solve problems in context.
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Lesson Plan
West Contra Costa Unified School District

Parallel Lines Cut by a Transversal

For Teachers 9th - 12th
Parallel lines seem so right for each other. It's too bad they'll never, ever meet. Learners use tracing paper to discover relationships among angles formed by two parallel lines cut by a transversal. They apply this information to find...
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Lesson Plan
1
1
Teach Engineering

Wetting and Contact Angle

For Teachers 10th - 12th Standards
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...
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Lesson Plan
1
1
Teach Engineering

Superhydrophobicity – The Lotus Effect

For Teachers 10th - 12th Standards
Discover and demonstrate the Lotus Effect and superhydrophobic surfaces with the eighth installment of a nine-part series that teaches scholars about surfaces that exhibit superhydrophobicity. The lesson continues also describes...
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Lesson Plan
EngageNY

An Appearance of Complex Numbers 2

For Teachers 11th - 12th Standards
Help the class visualize operations with complex numbers with a lesson that formally introduces complex numbers and reviews the visualization of complex numbers on the complex plane. The fifth installment of a 32-part series reviews the...
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Lesson Plan
EngageNY

Distance and Complex Numbers 1

For Teachers 11th - 12th Standards
To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...
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Lesson Plan
EngageNY

Networks and Matrix Arithmetic

For Teachers 11th - 12th Standards
Doubling a network or combining two networks is quick and easy when utilizing matrices. Learners continue the network example in the second lesson of this series. They practice adding, subtracting, and multiplying matrices by a scalar...
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Lesson Plan
EngageNY

Matrix Multiplication Is Not Commutative

For Teachers 11th - 12th Standards
Should matrices be allowed to commute when they are being multiplied? Learners analyze this question to determine if the commutative property applies to matrices. They connect their exploration to transformations, vectors, and complex...
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Lesson Plan
1
1
EngageNY

Solving Equations Involving Linear Transformations of the Coordinate Space

For Teachers 11th - 12th Standards
Explore methods for solving linear systems with your classes and introduce learners to using matrices as a viable method. Scholars are able to recognize situations where matrices are the efficient method of solving. Application questions...
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Lesson Plan
EngageNY

Special Lines in Triangles (part 2)

For Teachers 9th - 10th Standards
Medians, midsegments, altitudes, oh my! Pupils study the properties of the median of a triangle, initially examining a proof utilizing midsegments to determine the length ratio of a median. They then use the information to find missing...
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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...
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Lesson Plan
EngageNY

Congruence Criteria for Triangles—ASA and SSS

For Students 9th - 10th Standards
How do you know if a pair of triangles are congruent? Use the lesson to help class members become comfortable identifying the congruence criteria. They begin with an exploration of ASA and SSS criteria through transformations and...
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Lesson Plan
EngageNY

Modeling with Quadratic Functions (part 1)

For Students 9th - 10th Standards
Relevance is key! The resource applies quadratic modeling by incorporating application of physics and business. Pupils work through scenarios of projectile motion and revenue/profit relationships. By using the key features of the graph,...

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