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Worksheet
Curated OER

Curve Sketching Review Worksheet

For Students 11th - 12th
In this curve sketching instructional activity, students solve 13 short answer and graphing questions. Students find maximums, minimums, critical points, turning points, increasing/decreasing intervals, etc.
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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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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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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

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 lesson plan, students analyze the amount of cat food a cat consumes, identifying the maximum and minimum amount. They graph their data...
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Worksheet
Curated OER

Maximum and Minimum Word Problems

For Students 11th - Higher Ed
In this maximum and minimum worksheet, 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 a maximum....
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Worksheet
Curated OER

Graph of a Function

For Students 11th - Higher Ed
In this graph of a function worksheet, students graph a function and find the value at a given point. They determine the absolute minimum and maximum of an interval. This two-page worksheet contains three problems.
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Lesson Plan
Curated OER

Find Minimum and Maximum

For Teachers 9th - 12th Standards
Learners engage in a lesson about finding the values of different graphs written in the vertex form. They rewrite each quadratic equation in vertex form while graphing the equation with the visual display of a parabola that matches the...
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Worksheet
Curated OER

Find Minimum and Maximum

For Students 2nd - 3rd
In this math worksheet, students analyze 24 groups of 6 numbers each. Students write the minimum number and the maximum number in each set. There are no examples; it appears that students are to write the biggest and smallest numbers in...
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AP Test Prep9:56
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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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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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Performance
Radford University

Linear Programming: Sports Shoes

For Teachers 9th - 12th Standards
Don't shoo away the resource on shoes. Given constraints on the amount of leather and string needed to make two different types of shoes, learners graph a system of inequalities for the situation. They then determine the maximum profit...
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Worksheet
2
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Flipped Math

Unit 2 Review: Polynomial Functions

For Students 9th - 12th Standards
Wrap it all up in a box. Pupils review the key concepts from an Algebra 2 polynomial functions unit by working 19 problems. Problems range from using the Remainder Theorem to find remainders and finding factors; sketching graphs by...
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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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Lesson Plan
Curated OER

Forms of Quadratic Equations

For Teachers 9th - 12th Standards
Transformations of parabolas to fit a particular quadratic equation is taught through this lesson.  In this transforming parabolas to fit a particular quadratic equation lesson, students describe the transformations of the parabola...
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Worksheet
Curated OER

Chapter 4 - Objective 8.1 - Story Problems

For Students 7th - 9th
In this story problem worksheet, learners determine necessary information, write equations and solve the problem. This one-page worksheet contains eight problems dealing with cost, minimum and maximum values.
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Lesson Plan
Curated OER

Quadratic Equations and Functions

For Teachers 8th - 11th
This comprehensive lesson plan reviews solving and graphing quadratic functions and functions of higher degree.  Using the vertex form of a quadratic functions, one finds the vertex, minimum or maximum, and axis of symmetry. A few word...

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