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Lesson Plan
EngageNY

Creating and Solving Quadratic Equations in One Variable

For Students 9th - 10th Standards
Give your classes practice at modeling using quadratic models with a resource that uses area and integer problems to allow individuals to create second degree polynomials. Young mathematicians solve equations using factoring and then...
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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

Getting a Handle on New Transformations 2

For Teachers 11th - 12th Standards
Use 2x2 matrices to move along a line. The second day of a two-day lesson plan is the 28th installment in a 32-part unit. Pupils work together to create and solve systems of equations that will map a transformation to a given point. The...
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Lesson Plan
EngageNY

Composition of Linear Transformations 2

For Teachers 11th - 12th Standards
Scholars take transformations from the second to the third dimension as they extend their thinking of transformations to include three-dimensional figures. They explore how to use matrices to represent compositions of transformations. 
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Lesson Plan
EngageNY

Counting Rules—The Fundamental Counting Principle and Permutations

For Teachers 11th - 12th Standards
Count the benefits of using the resource. The second installment of a 21-part module focuses on the fundamental counting principle to determine the number of outcomes in a sample space. It formalizes concepts of permutations and...
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Lesson Plan
EngageNY

Properties of Dilations

For Teachers 8th Standards
Investigate dilations to learn more about them. The second segment in a series of 16 provides a discussion of properties of dilations by going through examples. The problem set provides opportunities for scholars to construct dilations.
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Lesson Plan
EngageNY

Multiplication of Numbers in Exponential Form

For Teachers 8th Standards
Develop a solid understanding of multiplication and division properties of exponents. Individuals expand exponential terms to discover the patterns and create the properties in the second installment in a series of 15. The activity...
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Lesson Plan
EngageNY

Definition of Translation and Three Basic Properties

For Students 8th Standards
Uncover the properties of translations through this exploratory activity. Learners apply vectors to describe and verify transformations in the second installment of a series of 18. It provides multiple opportunities to practice this...
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Lesson Plan
EngageNY

Part of a Whole as a Percent

For Teachers 7th Standards
Pupils use visual models, numeric methods, and equations to solve percent problems. To complete the second installment of 20, they find the part given the percent and the whole, find the percent given the part and the whole, and find the...
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Lesson Plan
EngageNY

Estimating Probabilities by Collecting Data

For Teachers 7th Standards
Take a spin to determine experimental probability. Small groups spin a spinner and keep track of the sums of the spins and calculate the resulting probabilities. Pupils use simulated frequencies to practice finding other probabilities to...
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Lesson Plan
EngageNY

Equivalent Ratios II

For Teachers 6th Standards
What is the connection between equivalent ratios? Class members first find the multiplication factor used to create equivalent ratios. Next, they take that information to determine whether ratios are equivalent. The second lesson on...
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Lesson Plan
EngageNY

Interpreting Division of a Whole Number by a Fraction—Visual Models

For Teachers 6th Standards
Connect division with multiplication through the use of models. Groups solve problems involving the division of a whole number by a fraction using models. The groups share their methods along with the corresponding division and...
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Lesson Plan
West Contra Costa Unified School District

Arithmetic Series

For Teachers 9th - 12th
Fall for a series. Learners determine how to find out how far a skydiver falls in the first 20 seconds. The Algebra II lesson introduces the idea of adding up the terms of an arithmetic sequence. Pupils learn how to use Sigma notation to...
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Assessment
Illustrative Mathematics

Trigonometric Ratios and the Pythagorean Theorem

For Students 9th - 12th Standards
Take an alternative route with trigonometry and let learners connect a tweaked version of the pythagorean theorem to the original in terms of triangle sides. The assignment leads participants towards deriving the Pythagorean identity...
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PPT
Urbana School District

Physics Intro, Kinematics, Graphing

For Teachers 11th - Higher Ed Standards
Some consider physics the branch of science concerned with using long and complicated formulas to describe how a ball rolls. This presentation, while long, is not complicated, yet it covers rolling, falling, and more. It compares vectors...
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Lesson Plan
Teach Engineering

What Does Light See?

For Teachers 10th - 12th
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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Lesson Plan
Space Awareness

Where on Earth Am I?

For Students 9th - 11th Standards
Almost every phone has GPS installed, but a large number of teens don't know how the technology works. An initial activity illustrates how GPS determines a location on Earth. Scholars then apply trilateration procedures to a...
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AP Test Prep7:06
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Flipped Math

Calculus AB/BC - Modeling Situations with Differential Equations

For Students 10th - 12th
Differentiate between models. Pupils watch as the video works through three examples of creating a differential equation to model a situation. Scholars use their knowledge of proportional relationships to set up the equations and to...
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Worksheet
Curated OER

Math 155 Worksheet 4

For Students 10th - 12th
In this derivatives activity, students solve 6 short answer problems. The first three problems, ask students to use a given definition of a derivative to solve the problems. The final three problems ask students use the basic...
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Worksheet
Curated OER

Math 155 Review Worksheet for Exam 1

For Students Higher Ed
In this college level calculus activity, students evaluate the given limits or show that the limit does not exist.  Students determine the derivative of the given functions.  The two page activity contains twenty-six problems.  Answers...
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Worksheet
Curated OER

Finding the Extrema Graphically and Symbolically

For Students Higher Ed
In this extrema worksheet, students use the first derivative test and the second derivative test to determine the local extrema. They identify the local maximum and global maximum. This eight-page worksheet contains detailed...
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Worksheet
Curated OER

Finding Extrema Graphically and Symbolically

For Students Higher Ed
In this extrema worksheet, students use graphing calculators and the optimization method to identify the maximum and minimums of a given function. They compute the first and second derivative, and graph the functions. This eight-page...
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Lesson Plan
Project Maths

Integral Calculus

For Teachers 10th - Higher Ed
From derivatives to antiderivatives and back again. Building on the second lesson of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of the function and...
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Interactive
Curated OER

Implicit Differentiation Problems

For Students 9th - 10th
In this calculus worksheet, students perform implicit differentiation to take the derivative. They solve function explicitly of x. They differentiate between implicitly and explicitly. There are 16 problems with an answer key.

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