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Lesson Plan
Curated OER

"A Slice of the Cone"

For Teachers 9th - 11th
Here is a set of lessons that explore conics in a number of different ways. Starting with modeling how a conic is produced by the way a plane cuts the cone, to solving complex word problems, algebra learners progress through a series of...
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Lesson Plan
Statistics Education Web

It Creeps. It Crawls. Watch Out For The Blob!

For Students 9th - 12th Standards
How do you find the area of an irregular shape? Class members calculate the area of an irregular shape by finding the area of a random sampling of the shape. Individuals then utilize a confidence interval to improve accuracy and use a...
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Lesson Plan
Illustrative Mathematics

The Physics Professor

For Teachers 8th - 12th Standards
Help mathematicians see that a formula found in a physics book has an algebraic structure. Though the formula given in the resource looks complicated, learners are to break down the expressions and interpret each part separately....
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Lesson Plan
1
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Illustrative Mathematics

Points on a Graph

For Teachers 8th - 12th Standards
Learners practice using their knowledge of how to interpret a function and use function notation. The activity includes two questions. Given an input of a function and its output, the first question asks learners to write the ordered...
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Lesson Plan
West Contra Costa Unified School District

Comparing Rational Functions and Simplified Functions

For Teachers 10th - 12th Standards
What kind of functions have holes in their graphs? Here, the teacher guides the class on how to use the simplified function of a rational function to aid in the graphing of the original rational function. T-tables are used in order to...
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Lesson Plan
1
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West Contra Costa Unified School District

Introduction to Logarithms

For Teachers 9th - 12th Standards
Build on pupils' understanding of inverse functions by connecting logarithmic functions to exponential functions. This activity allows individuals to see graphically the inverse relationship between an exponential and logarithmic...
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Lesson Plan
EngageNY

What Is Area?

For Teachers 9th - 10th Standards
What if I can no longer justify area by counting squares? Lead a class discussion to find the area of a rectangular region with irrational side lengths. The class continues on with the idea of lower approximations and upper...
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Lesson Plan
EngageNY

Motion Along a Line – Search Robots Again

For Students 9th - 12th Standards
We can mathematically model the path of a robot. Learners use parametric equations to find the location of a robot at a given time. They compare the paths of multiple robots looking for parallel and perpendicular relationships and...
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Lesson Plan
EngageNY

Modeling with Polynomials—An Introduction (part 1)

For Students 10th - 12th Standards
Maximizing resources is essential to productivity. Class members complete an activity to show how math can help in the process. Using a piece of construction paper, learners construct a box with the maximum volume. Ultimately, they...
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Lesson Plan
EngageNY

Awkward! Who Chose the Number 360, Anyway?

For Students 10th - 12th Standards
Don't give your classes the third degree. Use radians instead! While working with degrees, learners find that they are not efficient and explore radians as an alternative. They convert between the two measures and use radians with the...
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Lesson Plan
EngageNY

Integer Sequences—Should You Believe in Patterns?

For Students 9th - 10th Standards
Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson that covers sequence notation and function notation. Graphs are used to represent the number patterns.
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Lesson Plan
EngageNY

The Graph of the Natural Logarithm Function

For Teachers 10th - 12th Standards
If two is company and three's a crowd, then what's e? Scholars observe how changes in the base affect the graph of a logarithmic function. They then graph the natural logarithm function and learn that all logarithmic functions can be...
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Lesson Plan
EngageNY

Newton’s Law of Cooling, Revisited

For Teachers 10th - 12th Standards
Does Newton's Law of Cooling have anything to do with apples? Scholars apply Newton's Law of Cooling to solve problems in the 29th installment of a 35-part module. Now that they have knowledge of logarithms, they can determine the decay...
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Lesson Plan
EngageNY

Newton’s Law of Cooling

For Students 9th - 10th Standards
As part of an investigation of transformations of exponential functions, class members use Newton's Law of Cooling as an exponential model to determine temperature based on varying aspects. The resource makes comparisons between models...
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Lesson Plan
Kenan Fellows

Installing and Working with R Statistical Software

For Students 9th - 12th
Save download time—install software now in preparation for future lessons. The R statistical software is a free program used by the Federal Reserve Bank and many companies. Bring the power of the software to your classroom to use in the...
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Lesson Plan
Curated OER

Functions / Domain

For Teachers 11th - Higher Ed
Students identify and define what a function is and how to identify them and relations. They also use functional notation to compute the values of composite functions. Finally, students determine the domain and range of a given function.
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Lesson Plan
Curated OER

Types of Functions

For Teachers 11th - Higher Ed
Students graph step functions (for example, the greatest integer function), and then form the inverse function of given function. They also graph piece-wise defined functions and explain step-by-step the process. Finally, students define...
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Lesson Plan
Curated OER

Parametric Equations

For Teachers 9th - 12th
High schoolers investigate the concept of parametric equations and practice taking the derivatives and then the Quotient Rule is proven. They prove the Quotient Rule while using the Chain Rule with the examples given in the lesson for...
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Lesson Plan
Curated OER

Logarithms

For Teachers 11th - 12th
Pupils work in group with the definition of a logarithm and envelopes of index cards containing mathematical symbols to create mathematical statements. They work together as a class to summarize patterns they find in their statements....
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Lesson Plan
Curated OER

Exponential Functions -- M&M Activity

For Teachers 11th - 12th
Students receive cups and M & M candies. They perform an experiment to compare the graph of theoretical and experimental exponential growth. Students spill a pair of candies onto the table. They add candies for each "M" they see....
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Lesson Plan
Curated OER

Graphs of Logarithmic and Exponential Functions

For Teachers 11th - 12th
Students watch as the teacher demonstrates that y=ln(x) and y=e^x are inverse functions. They graph these equations on the same axes. Students work other log functions. They learn a Reggae Song about the log of the quotient. Students...
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Lesson Plan
Curated OER

Review For Test: Logarithm And Exponential Functions

For Teachers 9th - 12th
High schoolers investigate different concepts during a review that relate to logarithms and exponential functions. They review the derivatives of logs and exponential functions with the help of the problems used in the lesson as examples.
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Lesson Plan
Curated OER

Absolute Maximum and Minimum

For Teachers 10th - 12th
Students engage in a lesson that is concerned with the concepts of absolute maximum and minimum while solving for absolute extrema. They solve example problems that are used for direct instruction, guided practice, and independent...
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Lesson Plan
Curated OER

Bouncing Ball Experiment

For Teachers 10th - 11th
Students collect data for a bouncing ball and select one bounce to analyze. They explore the relationship between velocity, position and acceleration. They seek out connections between the graphs and the physical motion of the ball.

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