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...
AP Test Prep14:50
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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...
AP Test Prep
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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...
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...
AP Test Prep9:02
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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...
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...
Worksheet
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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...
Lesson Plan
Curated OER

Applied Maximum Minimum Problems--Mini Golf

For Teachers 12th
Twelfth graders investigate maximum and minimum as it relates to billiard and mini golf. In this calculus lesson plan, 12th graders review how to find the maximum and minimum and write proofs to show how they arrive at their answer. They...
Worksheet
Curated OER

Minimum, Maximum and Quartiles

For Students 8th - 10th
In this statistics learning exercise, students identify the different parts of a whisker plot. They find the minimum, maximum and the three different quartiles.   There are 8 multiple choice questions with an answer key.
Worksheet
Curated OER

The Second Derivative Test for Relative Extreme in Three Dimensional Space

For Students Higher Ed
For this second derivative worksheet, students determine the relative maximum and minimum values of given surfaces in three-dimensional space. They perform the second derivative test, and identify the partial derivatives. This one-page...
Lesson Plan
Curated OER

Stretching the Quads

For Teachers 9th - 12th Standards
Scholars investigate transforming parabolas.  In this transforming parabolas lesson, they take the parent graph y=x^2 and transform it by shifting left, right, up, and down and shrinking and stretching. The class finds maximums,...
Printables
Curated OER

Mean, Median, Mode, Minimum, Maximum Posters

For Teachers 3rd - 8th Standards
Introduce mean, median, and mode and post these bright posters in your classroom. The posters focus on the vocabulary and highlights the answer choice. Each one is colorful, which will engage and attract your learners. 
Lesson Plan
Curated OER

Froot Loops to the Max - Nutrition Worksheet

For Teachers 6th - 8th
In this nutrition worksheet, young scholars solve 10 various problems related to reading the nutritional panel on the side of a box of Froot Loops. They determine how many cups are needed to achieve a certain amount of calories. Then,...
Lesson Plan
Curated OER

Froot Loop to the Max - Ordered pairs

For Teachers 6th - 7th
In this Froot Loop to the Max worksheet, students complete 21 different sets of ordered pairs. They plot each of the ordered pairs listed on the sheet, connecting them in order from #1 through #21. Then, students determine whether it is...
Lesson Plan
Curated OER

Graphical Analysis

For Teachers 9th - 12th Standards
Get out your TI-nspire graphing calculator and explore polynomials. Learners determine where a given polynomial are increasing or decreasing, find maximums, minimums, and zeros of polynomials, and discuss end behavior of polynomials....
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....
Lesson Plan
Curated OER

Minimum and Maximum of a Graph

For Teachers 9th - 11th
Students find the solutions of polynomials through graphing. In this algebra lesson, students identify the maximum and minimum of each polynomial function. They ind the vertex, domain and range of a parabola.
Lesson Plan
Curated OER

Absolute Value and Equations - Week 5

For Teachers 12th - Higher Ed
In this absolute value worksheet, students use the absolute value function to solve functions. They identify the maximum and minimum values in triangular inequalities. This two-page worksheet contains eight problems.
Lesson Plan
Curated OER

All in the Family

For Teachers 3rd - 4th
Learners use data to make a tally chart and a line plot. They find the maximum, minimum, range, median, and mode of the data. Following the video portion of the lesson, students will visit a Web site to test their data collection skills...
Lesson Plan
Curated OER

Absolute Maximum and Minimum

For Teachers 9th - 11th
Students calculate the maximum and minimum of each function. In this algebra lesson, students collect and graph data to analyze it. They differentiate between the absolute max and min and the maxima and minima of each function.
Lesson Plan
Curated OER

How Big Is Your Head?

For Teachers 4th - 5th
Students explore measurement by measuring classmates' heads. They record their measurements and they put the measurements in order from smallest to largest. Students figure the mean, median, mode, maximum, minimum, and range of their...
Worksheet
Curated OER

Practice Test for Midterm: Partial Derivatives

For Students 10th - 12th
In this partial derivatives worksheet, students use Lagrange multipliers to find the maximum and minimum values of a given function. They find an equation of the tangent plane under given conditions and identify the second partial...
Worksheet
Curated OER

Maximum Volume of a cuboid and open-topped box

For Students 11th - 12th
In this Algebra II/Pre-Calculus activity, students investigate the maximum volume of a cuboid and the maximum volume of an open-topped box.  Additionally, students determine the acceptable size for boxes to meet parcel service...
Worksheet
Curated OER

Line Graphs 4

For Students 7th - 9th
In this graph worksheet, learners interpret given line graphs. They determine the range, and identify the range in a set of data. This one-page worksheet contains approximately 14 problems.

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