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Lesson Plan
Curated OER

In the Billions and Exponential Modeling

For Teachers 9th - 12th Standards
Modeling population growth gives learners an opportunity to experiment with real data. Comparing the growth rates in this real-life task strengthens learners' understanding that exponential functions change by equal factors over equal...
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Lesson Plan
Curated OER

Who am I? Find A Polynomial From Its Roots

For Teachers 9th - 12th
High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...
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Interactive
CK-12 Foundation

Secant, Cosecant, and Cotangent Functions: Hold the Ladder!

For Students 9th - 12th Standards
Determine the length of a falling ladder. Pupils use an interactive to find the angle a ladder makes with the floor after it falls to answer questions. The scholars use the triangle formed in the interactive to determine values of...
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Performance
Radford University

Fuel Efficient Function Activity

For Teachers 9th - 12th Standards
Pupils research the five most fuel efficient vehicles of the same type and come up with a way to display the mile per gallon for each vehicle. After choosing a vehicle, scholars create graphs to display miles traveled given the amount of...
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Lesson Plan
Curated OER

Applying Properties to Variables

For Teachers 8th
Eighth graders combine like terms in this properties of variables instructional activity. Using named items (stars, moons and hearts), they combine like terms using variables. They use the distributive property to combine like terms....
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App
Texas Instruments

TI-Nspire™ CAS

For Students 8th - Higher Ed Standards
When it comes to rating educational calculators, this calculator is always near the top of this list. Now it's available as an app. There is a lot of calculator power wrapped up in this app. Not only is this a fully functioning...
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App
1
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Texas Instruments

TI-Nspire™

For Students 6th - Higher Ed Standards
We landed on the moon with less computing capabilities than you can find in this app! Here is a multiple function calculator that takes all the power you get from a handheld and adds the wonderful large screen that only a tablet can...
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Lesson Plan
Curated OER

Exploring Derivatives Using Lists

For Teachers 9th - 12th Standards
Learners explore lists and determine the derivative for that list. They use regressions to discover equations. 
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AP Test Prep10:10
1
1
Flipped Math

Calculus AB/BC - Derivatives of cos(x), sin(x), e^x, and ln(x)

For Students 10th - 12th
The shortcuts are not just for polynomial functions. Pupils learn the derivatives of the two basic trigonometric functions, cosine and sine. The video provides the derivatives for exponential and logarithmic functions. Learners work...
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AP Test Prep14:02
1
1
Flipped Math

Calculus AB/BC - Derivatives of tan(x), cot(x), sec(x), and csc(x)

For Students 10th - 12th
Continue to differentiate the rest of the trigonometric functions. Pupils see the derivatives of the other four trigonometric functions and begin to memorize the rules. Learners see examples that show that the calculus portion of a...
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Worksheet
Mt. San Antonio Collage

Quadratic Equations and Their Applications

For Students 9th - 12th Standards
Show high schoolers there is more to quadratic functions than just formulas and parabolas. Connect the math to realistic application problems with a resource that has learners consider such situations as a ball hit in the air, the...
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Activity
Curated OER

Viral Marketing

For Teachers 9th - 12th Standards
What is "viral marketing" and how does it relate to mathematics? Young mathematicians use exponential functions to develop a mathematical model for a business advertising campaign. Learners then see how their campaigns increase...
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Lesson Plan
Illustrative Mathematics

Baseball Cards

For Teachers 7th - 9th Standards
Here is a resource that demonstrates growth and the initial state of an equation. For this case, your class will be looking at baseball collections. How many baseball cards did the collector start out with, and how many were added or...
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Lesson Plan
Illustrative Mathematics

Delivering the Mail

For Teachers 7th - 9th Standards
A mail truck travels the same amount of miles per day. It will be up to your algebra learners to find an equation for this mailman’s truck. One needs a good understanding of rate of change and the initial value for this model. The...
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Lesson Plan
Curated OER

Functional Analysis

For Teachers 9th - 10th
Students perform functional analysis. In this pre-calculus instructional activity, students recognize the different elements of a function, graph a function and analyze it. They synthesize composites of other basic functions.
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Lesson Plan
Curated OER

Linear and Nonlinear Functions

For Teachers 8th - 10th
Students identify properties of a line. In this algebra lesson, students differentiate between functions and nonfunctions. They use the slope and y intercept to graph their lines.
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Worksheet
Curated OER

Accumulation Functions as Antiderivatives

For Students Higher Ed
In this accumulation functions worksheet, students describe the graph of an accumulation function for a constant function. Students describe the link between the slope of the graph of the accumulation function and the value of the function.
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Lesson Plan
Curated OER

Families of Functions

For Teachers 9th - 12th
Students investigate families of functions.  In this families of functions lesson, students discuss how changing a functions parameters affect its' graph.  Students vary slope and y-intercepts of linear functions.  Students stretch and...
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Worksheet
Curated OER

Complex Analysis: Complex Functions

For Students Higher Ed
In this complex function activity, students examine the properties of integrals of complex functions of a real variable, smooth arcs, and the Jordan Curve Theorem. This two-page activity contains approximately seven equations.
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Worksheet
1
1
Curated OER

Graphing Square Root and Other Radical Functions

For Students 10th - 12th Standards
In this worksheet, students graph the square root and other radical functions by examining the parent function and the translations and shifts that occur within the function family. The two page worksheet contains twelve problems. 
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Worksheet
Curated OER

Inverse Relations and Functions

For Students 9th - 11th
In this algebra worksheets, students find the inverse of a given function by switching the y with the x. They graph the different functions and identify the difference. This worksheet includes thoughtful questions and worked examples.
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Lesson Plan
Curated OER

Trigonometric Functions of Special Angles

For Teachers 9th - 12th
Students explore the concept of the six trigonometric functions, places where the functions can be utilized, and apply these functions to several electrical application problems.
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Lesson Plan
Curated OER

Transformations and Translation of Functions

For Teachers 8th - 10th
Students translate functions horizontally and vertically. For this algebra lesson, students identify the parts of the formula that allows the graph to move left, right, up and down. They perform a transformation on the coordinate plane.
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Worksheet
Curated OER

Multivariable Calculus: Visualizing Multivariable Functions

For Students Higher Ed
In this multivariable functions worksheet, students graph functions and describe the level sets of the function. This two page worksheet contains approximately ten problems.

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