AP Test Prep
College Board

Extrema

For Teachers 10th - 12th
No need to go to extreme lengths to find resources on extrema. The central focus of an AP® curriculum module is on critical points and extrema, and how to cover these concepts throughout the course. A set of three worksheets helps assess...
Worksheet
Curated OER

Calculus Worksheet: Graphs of Functions (2)

For Students 10th - 12th
Students are given a trigonometric function. They find the period of f, the maximum and ninimum values of f(x). Students compute the smallest positive value of x and the smallest positive value of x. They sketch the graph of the function.
Worksheet
Curated OER

Test Chapter 5: Intervals

For Students 10th - 12th
In this interval instructional activity, students identify the largest interval for a given situation.   They explore and explain functions, their derivative, relative maximum, and relative minimum.  Students graph...
Lesson Plan
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Quadratic Applications

For Teachers 9th - 12th
In this quadratic applications worksheet, students complete graphs, charts, comparison charts, and more having to do with quadratic equations. Students complete 5 different activities.
Worksheet
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Math Honors 2: Trigonometry Review Questions

For Students 11th - 12th
In this Algebra II/Trigonometry worksheet, students solve problems involving angle of depression or elevation, evaluate trigonometric expressions, solve trigonometric equations, and graph trigonometric functions. The one page worksheet...
Worksheet
Curated OER

Minima/Maxima

For Students 10th - 12th
In this minima/maxima instructional activity, students solve systems of equations, identify the first derivative of a quadratic equation, and find the critical point in an equation. Using Excel worksheets, students graph four equations....
Worksheet
Curated OER

AP Calculus Practice Exam

For Students 11th - 12th
In this practice exam worksheet, students solve 17 multiple choice problems. Students find derivatives, points of continuity, maximums, minimums, integrals, and area of enclosed regions.
Worksheet
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Weather Graph

For Students 3rd
In this graphing learning exercise, 3rd graders study a line graph pertaining to weather. Students respond to 8 short answer questions using the information that is presented in the graph.
Lesson Plan
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Variables and Patterns: Determining an appropriate scale while graphing

For Teachers 6th
Sixth graders determine appropriate scales when graphing data. In this graphing instructional activity, 6th graders use an the applet "Graph It" to determine what is an appropriate scale for their data.
Lesson Plan
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Maximum and Minimum Values

For Teachers 11th
In this Algebra II worksheet, 11th graders complete the square to write a quadratic equation in Standard form.  Students identify the vertex, sketch the graph and state the maximum or minimum value of the functions.  The one...
Worksheet
Curated OER

Maximum and Minimum Problems

For Students 11th - Higher Ed
For this maximum and minimum problems worksheet, learners solve and complete 9 various types of problems. First, they find two numbers with a given sum. Then, students find the maximum and minimum value of each equation. They also find...
Worksheet
Curated OER

Maximum and Minimum Points

For Students 11th - 12th
In this maximum and minimum points instructional activity, students solve and complete 12 various types of problems. First, they find the area of the smallest triangle given the point of intersection. Then, students find the volume of a...
Lesson Plan
Curated OER

Graphing Climate Information

For Teachers 7th
Seventh graders plot the data for the average monthly precipitation for three cities. They make a graph using a spreadsheet.
Lesson Plan
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Worksheet 6, Graphing Functions

For Teachers 9th - 10th
In this algebra worksheet pupils graph a given function by completing the square. They analyze a function and tell the axis of symmetry, the intercepts, and vertex. Students identify the maximum or minimum of a graph. Pupils identify...
Lesson Plan
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Two Investigations of Cubic Functions

For Teachers 9th - 12th Standards
Through learning about cubic functions, students graph cubic functions on their calculator.  Students determine the local maximum and minimum points and the tangent line from the x-intercept to a point on the cubic function. ...
Worksheet
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Curve Sketching

For Students 10th - 12th
In this calculus instructional activity, students sketch a curve using a given function. They take the derivative of a function and graph it. There are 10 questions.
Worksheet
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From F to F

For Students 11th - 12th
In this derivatives worksheet, students solve 16 short answer problems. Students use a graph of a derivative to determine local maximums and minimums, concavity, inflection points, etc.
Worksheet
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EOC Review G

For Students 9th - 11th
In this end of course review, students factor expressions, interpret statistic problems, and identify the maximum and minimum of equations. This two-page worksheet contains 5 multi-step problems.
Lesson Plan
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Lesson #75 Applied Maximum Problems

For Teachers 10th - 12th
Learners practice graphing. In this maximum and minimum lesson plan, students practice solving graphing problems. Steps for solving these problems are presented via a lecture/demo type lesson plan.
Lesson Plan
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Quadratics and Graphing

For Teachers 9th - 11th
Students use the Nspire software to graph. In this algebra lesson, students graph quadratic equations using technology and graphs. They identify the maximum and minimum of each graph.
Worksheet
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Parabolic Equations

For Students 11th - 12th
For this parabolic worksheet, students write an equation of a parabola which satisfies given conditions. They match equations to the correct graph. Students identify the vertex, domain and range of an equation. This one-page worksheet...
Worksheet
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Measures of Central Tendency

For Students 8th - 9th
In this measures of central tendency activity, students solve and complete 6 different problems. First, they count the number of items in each set of data. Then, students determine the mean, median and mode for each. In addition, they...
Worksheet
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Further Differentiation

For Students 11th - Higher Ed
For this further differentiation worksheet, students solve and complete 7 various types of problems. First, they sketch the graph of each equation using a stationary point. Then, students find the stationary points of each and describe...
Worksheet
Curated OER

Properties of Parabolas

For Students 9th - 11th
In this properties of parabolas activity, students identify the vertex and the minimum and maximum value of each parabola. They graph parabolas on a coordinate plane. This four-page activity contains 14 problems. Answers are provided on...