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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...
Curated OER
Introduction to Applied Maximum Minimum Problems
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...
Curated OER
Applied Maximum Minimum Problems
Students investigate the maximum and minimum of a graph as it related to cat food. In this calculus lesson, students analyze the amount of cat food a cat consumes, identifying the maximum and minimum amount. They graph their data and...
Curated OER
Optimizing Perimeter and Area
In this perimeter and area activity, students examine given perimeters and determine the dimensions that will give the maximum area. This one-page activity contains four multi-step problems.
Curated OER
Maximum and Minimum Word Problems
In this maximum and minimum 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 a maximum....
Curated OER
Applications of First and Second Derivatives.
For this calculus worksheet, students solve for the critical values, open intervals and find the maximum and minimum. There are 7 questions dealing with the derivative.
Curated OER
Graphs and Derivatives
In this graphs and derivatives worksheet, students graph the derivative of a function. They find the intervals and identify the maximum and minimum. This one page worksheet contains three multi-step problems.
Curated OER
Regents Exam Questions: Domain and Range 1
In this domain and range worksheet, students examine functions and identify the range of a function. They find the maximum and minimum value of a function. This two-page worksheet contains 7 multiple-choice problems. ...
Curated OER
Box and Whisker Plots
In this math learning exercise, students compute the median of sets of numbers. They create box and whisker plots. Students identify the median, upper and lower quartiles, and minimum/maximum amounts. On the last page of this learning...
Curated OER
Transformations and Exponential Functions
Tenth graders study graphing exponential functions. For this transformations lesson, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and generate the function...
Curated OER
Boom and Bust
Students investigate commercial fishery. In this fishery lesson, students describe stages in commercial fishery, interpret data and predict when a fisher stock is showing signs of overexploitation.
Curated OER
Functions and Differentiation
In this calculus learning exercise, students identify functions based on different Theorems as it relates to calculus and the Fundamental Theorem. There are 13 questions dealing with differentiation and trigonometric graphs.
Illustrative Mathematics
Which Function?
Learners are given a graph of a parabola on a coordinate system, but intercepts and vertex are not labeled. The task is to analyze eight given quadratic functions and determine which ones might possibly be represented by the graph. The...
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
Mathematics of Image Processing
In this mathematics of image processing worksheet, students solve 10 various types of problems related to image processing on a computer. They type in all the commands listed and figure out what is going on. Then, students determine the...
Curated OER
Algebra 2 - Linear Programming
Pupils read real world problems, determine the variables, and set up the function using algebraic statements. After entering data into the graphing calculator, they display information in the form of graphs and scatter plots. Students...
Curated OER
The Solstices
Compare surface temperatures when the solstice occurs in the different hemispheres. Young scientists draw conclusions from their investigation of data collected using spreadsheets and a globe.
EngageNY
Graphing Factored Polynomials
Young mathematicians graph polynomials using the factored form. As they apply all positive leading coefficients, pupils demonstrate the relationship between the factors and the zeros of the graph.
West Contra Costa Unified School District
Particle Motion
Derivatives are useful for many things — they can even keep track of particle motion. An informative lesson plan provides an introduction to the idea of the second derivative in particle motion. Class members determine the...
Balanced Assessment
Triangle in Circle
Even kindergartners can draw triangles in circles, but the assessment task requires a bit more geometric knowledge. Scholars investigate triangles that have a diameter of a circle as one of its sides. They must consider triangles that...
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...
Illustrative Mathematics
Telling a Story With Graphs
Turn your algebra learners into meteorologists. High schoolers are given three graphs that contain information about the weather in Santa Rosa, California during the month of February, 2012. Graph one shows temperatures, graph two...
College Board
2005 AP® Calculus BC Free-Response Questions Form B
Let's put it in context. Pupils use the AP® Calculus BC free-response questions to practice for the exam. Five of the six released items deal with mathematical problems, with one using a real-world situation. Learners use differentiation...
Flipped Math
Graphs of Functions
Create a graphical description. Pupils watch a video presentation starting with vocabulary on properties of a graph of a function and then use the vocabulary to find key features of graphs of a function. Scholars use three graphs in the...