Curated OER
The Effect of Dissolved Salt on the Boiling Point of Water
Explore the properties of solutions with a lab activity. Chemistry fans determine the boiling point of water, add salt to create a solution, and then repeat the process four more times. They design their own data table and then graph the...
Teach Engineering
Maximum Power Point
Investigate the maximum power output of a photovoltaic panel with a instructional activity that introduces the class to the maximum power point. Individuals learn how to determine the maximum power point of a solar panel by using Ohm's...
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...
Curated OER
Maximum and Minimum of Functions
In this calculus learning exercise, students are given functions and values to derive using the functions. They are asked to find the maximum, minimum and point of inflection. There are 28 questions.
Curated OER
Derivatives and Maximum or Minimum
In this calculus worksheet, students calculate the maximum, minimum, and determine if the graph is concave up or down. There are 2 questions.
Curated OER
Lesson 2-5: Absolute Value Functions and Graphs
What is absolute value? What is an absolute value function? Emerging mathematicians solve equations containing variables inside an absolute value sign. They graph each function on a coordinate plane and identify the maximum and minimum...
Explore Learning
Quadratics: Polynomial Form
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...
Curated OER
Maximum and Minimum Word Problems
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...
Curated OER
Critical Points
High schoolers identify critical points on a graph. In this calculus lesson, students graph their equations on the TI calculator. They zoom in and out to identify the critical points.
Curated OER
Relative Humidity & Dew Point
Students use a 24-hour graph of air temperature, relative humidity, and dew point to describe at least one reason why the variables change (or don't change) during the day. They use given scenarios to identify and describe the problems...
Curated OER
Worksheet 23 - Directional Derivative
In this function worksheet, students compute the directional derivative of a function and identify the xy-coordinates of the maximum and local minimum. This two page worksheet contains six multi-step problems.
Teach Engineering
Pointing at Maximum Power for PV
Following detailed directions, teams collect the voltage and current outputs of a photovoltaic cell by adjusting the resistance. Using the collected data, they determine the highest power output. Implications for weather and a large...
Curated OER
Two Investigations of Cubic Functions
Through learning about cubic functions, learners 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. Learners...
College Board
2010 AP® Calculus AB Free-Response Questions
Is this going to be on the test? The resource contains the AP Calculus AB free-response questions that were on the 2010 test. Pupils use the six questions to prepare for their tests. Teachers use the included response resources to...
Curated OER
Maximum Power Point
Students investigate how to optimize the power output of a photovoltaic cell using a home-made gnomon stand. They use data collected to create current-voltage and power-voltage curves and determine the "maximum power point," (MPP) at...
Curated OER
Make a Design by Plotting Points
Students plot points on graph paper to make designs. They color their designs.
Curated OER
Curve Sketching Review Worksheet
In this curve sketching activity, students solve 13 short answer and graphing questions. Students find maximums, minimums, critical points, turning points, increasing/decreasing intervals, etc.
Curated OER
Intervals
In this intervals worksheet, students determine the coordinates at a point of inflection. They compute the deritative of a function and sketch curves that satisfy given conditions. Students solve equations using the Mean Value Theorem...
Curated OER
From F to F
For 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.
Curated OER
Analyze This Function
For this derivatives worksheet, students solve 11 short answer and graphing problems. Students find inflection points, increasing and decreasing intervals, maximums and minimums, and graph an exponential derivative. Students use the...
West Contra Costa Unified School District
Using Derivatives to Graph Polynomials
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...
Charleston School District
Contextualizing Function Qualities
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...
Charleston School District
Increasing, Decreasing, Max, and Min
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...
College Board
Extrema
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...