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...
Lesson Plan
Curated OER

Introduction to Applied Maximum Minimum Problems

For Teachers 12th
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...
Lesson Plan
Curated OER

Applied Maximum Minimum Problems

For Teachers 12th - Higher Ed
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...
Worksheet
Curated OER

Optimizing Perimeter and Area

For Students 6th - 8th
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.
Worksheet
Curated OER

Maximum and Minimum Word Problems

For Students 11th - Higher Ed
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....
Worksheet
Curated OER

Applications of First and Second Derivatives.

For Students 12th - Higher Ed
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.
Worksheet
Curated OER

Graphs and Derivatives

For Students 9th - 12th
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.
Lesson Plan
Curated OER

Regents Exam Questions: Domain and Range 1

For Teachers 9th - 10th
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. ...
Worksheet
Curated OER

Box and Whisker Plots

For Students 7th - 8th
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...
Lesson Plan
Curated OER

Transformations and Exponential Functions

For Teachers 10th
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...
Lesson Plan
Curated OER

Boom and Bust

For Teachers 7th - 8th
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.
Worksheet
Curated OER

Functions and Differentiation

For Students 11th - 12th
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.
Activity
Illustrative Mathematics

Which Function?

For Teachers 8th - 12th Standards
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...
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,...
Worksheet
Curated OER

Mathematics of Image Processing

For Students 10th - 11th
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...
Lesson Plan
Curated OER

Algebra 2 - Linear Programming

For Teachers 10th - 11th
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...
Lesson Plan
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1
Curated OER

The Solstices

For Teachers 6th - 9th
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.
Lesson Plan
1
1
EngageNY

Graphing Factored Polynomials

For Students 10th - 12th Standards
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.
Lesson Plan
West Contra Costa Unified School District

Particle Motion

For Teachers 11th - Higher Ed Standards
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...
Assessment
Balanced Assessment

Triangle in Circle

For Students 6th - 8th
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...
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...
Lesson Plan
Illustrative Mathematics

Telling a Story With Graphs

For Teachers 9th - 12th Standards
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...
AP Test Prep
College Board

2005 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
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...
Instructional Video19:34
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Flipped Math

Graphs of Functions

For Students 9th - 10th Standards
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...

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