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Teach Engineering

Bone Mineral Density Math and Beer's Law

For Students 9th - 12th Standards
Hop into a resource on Beer's Law. A PowerPoint presentation introduces Beer's law as part of calculating bone density from X-ray images in the sixth activity in the series of seven. Individuals work on practice problems with this law...
Lesson Plan
EngageNY

Comparison Shopping—Unit Price and Related Measurement Conversions II

For Teachers 6th Standards
Which rate is greater and by how much? Pupils continue to compare rates to solve problems in the 20th portion of a 29-part series. Rates are presented in a variety of representations either using the same representation or different...
Lesson Plan
EngageNY

Replacing Letters with Numbers II

For Teachers 6th Standards
Teach about properties properly. Individuals investigate the commutative and identity properties for both addition and multiplication. They see that the properties hold true for all values by using substitution to test out several examples.
Lesson Plan
Alabama Learning Exchange

Add, Subtract, and Multiply Matrices

For Students 9th - 12th Standards
Introduce the concept of matrices with a pre-designed instructional activity. Learners watch video lessons to learn the ins and outs of adding, subtracting, and multiplying matrices. Using provided problems, they practice each operation...
Lesson Plan
Curated OER

Making a Ten

For Teachers 1st - 3rd Standards
An addition table supports third graders as they learn strategies to improve their math fluency. When finding sums greater than ten, young scholars are taught how to first make a ten and then add on the rest. A similar method is also...
Lesson Plan
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West Contra Costa Unified School District

Introduction to Inverse Functions

For Students 9th - 12th Standards
Ready to share the beauty of the inverse function with your classes? This algebra II lesson guides the discovery of an inverse function through a numerical, graphical, and an algebraic approach. Connections are made between the three,...
Lesson Plan
EngageNY

Relationships Between Two Numerical Variables

For Teachers 9th - 10th Standards
Is there another way to view whether the data is linear or not? Class members work alone and in pairs to create scatter plots in order to determine whether there is a linear pattern or not. The exit ticket provides a quick way to...
Lesson Plan
2
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EngageNY

Algebraic Expressions—The Distributive Property

For Students 9th - 10th Standards
Do your classes truly understand the distributive property? Use a demonstrative lesson to represent the distributive property in various ways. Learners solidify understanding by creating a geometric pattern for distributive...
Lesson Plan
Virginia Department of Education

Equilibrium and Le Chatelier’s Principle

For Teachers 9th - 12th
The best part of learning about equilibrium is that nothing changes. Young chemists observe four demonstrations during this lesson: equilibrium in a saturated solution, equilibrium with an acid-base indicator, equilibrium with cobalt...
Lesson Plan
EngageNY

Are All Parabolas Similar?

For Students 10th - 12th Standards
Congruence and similarity apply to functions as well as polygons. Learners examine the effects of transformations on the shape of parabolas. They determine the transformation(s) that produce similar and congruent functions.
Lesson Plan
EngageNY

Modeling a Context from Data (part 1)

For Teachers 9th - 10th Standards
While creating models from data, pupils make decisions about precision. Exercises are provided that require linear, quadratic, or exponential models based upon the desired precision. 
Lesson Plan
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1
NOAA

Waves

For Teachers 9th - 12th
Is it possible to outrun a tsunami? After watching a presentation that explains how waves and tsunamis occur, class members investigate the speed of tsunamis triggered by an earthquake.
Lesson Plan
EngageNY

Ferris Wheels—Using Trigonometric Functions to Model Cyclical Behavior

For Students 10th - 12th Standards
Have class members going in circles as they model the path of a Ferris Wheel using trigonometric functions. Building on the previous instructional activity in this series on transformations, learners use trigonometric functions to...
Lesson Plan
EngageNY

Percent Rate of Change

For Teachers 10th - 12th Standards
If mathematicians know the secret to compound interest, why aren't more of them rich? Young mathematicians explore compound interest with exponential functions in the twenty-seventh installment of a 35-part module. They calculate future...
Lesson Plan
EngageNY

Modeling with Exponential Functions

For Teachers 10th - 12th Standards
These aren't models made of clay. Young mathematicians model given population data using exponential functions. They consider different models and choose the best one.
Lesson Plan
EngageNY

Translating Graphs of Functions

For Students 9th - 10th Standards
If you know one, you know them all! Parent functions all handle translations the same. This instructional activity examines the quadratic, absolute value, and square root functions. Pupils discover the similarities in the behavior of the...
Lesson Plan
EngageNY

Recursive Challenge Problem—The Double and Add 5 Game

For Students 9th - 10th Standards
As a continuation of a previous lesson, this activity builds on the concept of calculating the terms of a sequence. Pupils are challenged to determine the smallest starting term to reach a set number by a set number of rounds. Notation...
Lesson Plan
EngageNY

Exploring the Symmetry in Graphs of Quadratic Functions

For Students 9th - 10th Standards
Math is all about finding solutions and connections you didn't expect! Young mathematicians often first discover nonlinear patterns when graphing quadratic functions. The lesson begins with the vocabulary of a quadratic graph and uses...
Lesson Plan
EngageNY

Modeling with Inverse Trigonometric Functions 2

For Teachers 11th - 12th Standards
Use inverse trigonometric functions to work with ramps, rabbits, and Talladega. The class models real-world situations with trigonometric functions and solves them using inverses in the 15th installment of a 16-part series. Pupils solve...
Lesson Plan
EngageNY

Comparing Linear Functions and Graphs

For Students 8th Standards
How can you compare linear functions? The seventh installment of a 12-part module teaches learners how to compare linear functions whose representations are given in different ways. They use real-world functions and interpret features in...
Lesson Plan
EngageNY

Formal Definition of a Function

For Students 8th Standards
Formalize the notion of a function. Scholars continue their exploration of functions in the second lesson of the module. They consider functions as input-output machines and develop function rules for selected functions.
Lesson Plan
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1
University of Colorado

Distance = Rate x Time

For Students 6th - 8th Standards
Every year, the moon moves 3.8 cm farther from Earth. In the 11th part of 22, classes use the distance formula. They determine the distance to the moon based upon given data and then graph Galileo spacecraft data to determine its movement.
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 instructional activity of a 16-part series. They use...
Lesson Plan
EngageNY

Numbers Raised to the Zeroth Power

For Teachers 8th Standards
What in the world is the zeroth power? Examine the patterns of exponents as they apply to the zeroth power. Scholars apply the zero property to simple exponential expressions in this fourth lesson in a series of 15. The examples include...