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2010 AP® Calculus BC Free-Response Questions Form B
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...
Flipped Math
Calculus AB/BC - Extreme Value Theorem, Global Versus Local Extrema, and Critical Points
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...
Flipped Math
Calculus AB/BC - Using the Second Derivative Test to Determine Extrema
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...
Flipped Math
Calculus AB/BC - Exploring Behaviors of Implicit Relations
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...
Flipped Math
Calculus AB/BC - Interpreting the Behavior of Accumulation Functions Involving Area
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...
Radford University
Linear Programming: Sports Shoes
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...
Flipped Math
Unit 2 Review: Polynomial Functions
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...
Curated OER
Applied Maximum Minimum Problems--Mini Golf
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...
Curated OER
Minimum, Maximum and Quartiles
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.
Curated OER
The Second Derivative Test for Relative Extreme in Three Dimensional Space
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...
Curated OER
Stretching the Quads
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,...
Curated OER
Mean, Median, Mode, Minimum, Maximum Posters
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.
Curated OER
Froot Loops to the Max - Nutrition Worksheet
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,...
Curated OER
Froot Loop to the Max - Ordered pairs
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...
Curated OER
Graphical Analysis
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....
Curated OER
Minimum and Maximum Perimeter
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....
Curated OER
Minimum and Maximum of a Graph
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.
Curated OER
Absolute Value and Equations - Week 5
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.
Curated OER
All in the Family
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...
Curated OER
Absolute Maximum and Minimum
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.
Curated OER
How Big Is Your Head?
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...
Curated OER
Practice Test for Midterm: Partial Derivatives
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...
Curated OER
Maximum Volume of a cuboid and open-topped box
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...
Curated OER
Line Graphs 4
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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