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Handout
West Contra Costa Unified School District

Using Derivatives to Graph Polynomials

For Teachers 11th - Higher Ed
You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase and...
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Lesson Plan
Explore Learning

Quadratics: Polynomial Form

For Teachers 9th - 12th
Throught this subscription-based sight, learners explore different aspects of the parabola by changing equations from standard to vertex form. Next, find the general form of the vextex based on the values of a, b, and c, and investigate...
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Lesson Plan
Curated OER

Introduction to Applied Maximum Minimum Problems

For Teachers 12th
Twelfth graders solve problems by finding the maximum and minimum. In this calculus lesson, 12th graders analyze certain animals identifying their maximum and minimum points. They also use bubble as part of their real world application...
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Lesson Plan
Curated OER

Maximum, Minimum, Increasing, Decreasing

For Teachers 9th - Higher Ed Standards
Learners practice with the StudyCard set on assessing real-world contexts dealing with the concepts of maximum, minimum, increasing and decreasing. They view a variety of quadratic functions and equations with their TI-83 Plus calculators.
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Lesson Plan
Curated OER

Minimum and Maximum Perimeter

For Teachers 6th - 12th Standards
Pupils practice a variety of strategies with varying numbers of tiles to form shapes and then find the minimum and maximum perimeter for each one. Each group is assigned a different area to build either with square tiles or a geoboard....
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Lesson Plan
Curated OER

Waging A Living

For Teachers 9th - 12th
High schoolers view a video clip about minimum wage. They discover the history of wage policy in the United States and the difference between the minimum wage and living wage. They write a paper on how to increase the wages.
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Lesson Plan
Curated OER

Applied Maximum Minimum Problems

For Teachers 12th - Higher Ed
Students investigate the maximum and minimum of a graph as it related to cat food. In this calculus instructional activity, students analyze the amount of cat food a cat consumes, identifying the maximum and minimum amount. They graph...
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Lesson Plan
Curated OER

Proving that You Have Found the Minimum

For Teachers 10th
Tenth graders pretend to set up an ice cream shop in a make believe town of shapes.  In this geometry lesson, 10th graders work together to put up an ice cream stand in an ideal location and solve for the minimum given the shapes.
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Worksheet
Curated OER

Lesson 10-6: Using the Quadratic Formula

For Students 9th - 12th
In this quadratic formula worksheet, students solve 5 quadratic problems.  Students use the quadratic formula to find maximums, minimums, roots, and y-intercepts.
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Lesson Plan
Federal Reserve Bank

Unintended Consequences

For Teachers 9th - 12th Standards
What would your class members say to the opportunity to take two years off of school between grades 10 and 11? Examine the economic concepts of costs, benefits, and unintended consequences with this unique and engaging approach.
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Worksheet
Curated OER

Maximum and Minimum Word Problems

For Students 11th - Higher Ed
In this maximum and minimum instructional activity, students solve and complete 10 various types of word problems. First, they find the numbers if the product of the square of one of the numbers with the cube of the other number is to be...
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Interactive
Curated OER

The Minimum Number of Guesses Necessary

For Students 8th - Higher Ed
In this guessing games worksheet, students calculate the minimum number of yes and no questions necessary to determine a secret number.
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AP Test Prep9:56
1
1
Flipped Math

Calculus AB/BC - Using the Candidates Test to Determine Absolute (Global) Extrema

For Students 10th - 12th
Absolutely! Find the global maximum and minimums. Pupils watch a video showing how to find the absolute maximums and minimums of a function on an interval by testing critical points. The learners see how to determine whether a critical...
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Handout
Charleston School District

Increasing, Decreasing, Max, and Min

For Students 8th Standards
Roller coaster cars traveling along a graph create quite a story! The lesson analyzes both linear and non-linear graphs. Learners determine the intervals that a graph is increasing and/or decreasing and to locate maximum and/or minimum...
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Handout
Charleston School District

Contextualizing Function Qualities

For Students 8th Standards
Let the graph tell the story! Adding context to graphs allows learners to analyze the key features of the function. They make conclusions about the situation based on the areas the graph is increasing, decreasing, or has a maximum or...
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Assessment
Mathematics Assessment Project

Bestsize Cans

For Students 9th - 11th Standards
Traditional calculus problem made simple. In the high school assessment task, learners determine the minimum surface area for a can of a given volume using algebraic and numerical methods to solve the problem. No calculus required.
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Lesson Plan
California Department of Education

Safe at Work

For Teachers 8th Standards
From minimum wage to minimizing injuries, young workers need to know their rights! The sixth and final lesson in a series of college and career readiness activities gets eighth graders thinking about safety and labor laws. 
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AP Test Prep
College Board

2010 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...
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AP Test Prep14:50
1
1
Flipped Math

Calculus AB/BC - Extreme Value Theorem, Global Versus Local Extrema, and Critical Points

For Students 10th - 12th
It is critical to find all the extreme points. Pupils analyze graphs in the presentation to determine whether there are points that are either maximums and minimums. Using derivatives, learners find out how to find critical points from...
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AP Test Prep12:50
1
1
Flipped Math

Calculus AB/BC - Using the Second Derivative Test to Determine Extrema

For Students 10th - 12th
Take a second look at extrema of functions. Pupils learn how to use the second derivative to determine whether a critical point is a maximum or a minimum. Learners use concavity to identify critical points as either a max or a min and...
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AP Test Prep
1
1
Flipped Math

Calculus AB/BC Mid-Unit 6 Review: Integration and Accumulation of Change

For Students 10th - 12th
Accumulate the content so far. Learners review the content from the first five lessons dealing with accumulation functions. The eight problems go over finding maximums, minimums, concavity, points of inflection, and intervals of increase...
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AP Test Prep10:44
Flipped Math

Calculus AB/BC - Exploring Behaviors of Implicit Relations

For Students 10th - 12th
Put everything together implicitly. Pupils use their knowledge of implicit differentiation to determine whether a curve is increasing or decreasing or its concavity. Given a differential equation, scholars determine whether a specific...
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AP Test Prep9:02
1
1
Flipped Math

Calculus AB/BC - Interpreting the Behavior of Accumulation Functions Involving Area

For Students 10th - 12th
Accumulation functions should behave like other functions. Using content from Unit 5, pupils analyze the first and second derivative to determine the behavior of an accumulation function. Learners find out how to calculate the relative...
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Lesson Plan
Curated OER

Matter and Motion 3

For Teachers 11th - Higher Ed
In this matter and motion worksheet, students solve 3 different types of problems that relate to the chain rule for multivariable functions. First, they find the rate of increase of the volume of a can and the rate of increase of the...

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