Curated OER
Calculus 4.4 - Modeling and Optimization
Looking for an interractive presentation for your high schoolers dealing with calculus? Then this PowerPoint is for you! Problems that cover area, volume, and other calculus-related topics are presented. Students are led through the...
CK-12 Foundation
Absolute Extrema and Optimization: Building the Biggest Box
Optimally, you want the largest box. Given a square piece of box material, pupils determine the size of congruent squares to cut out of the corners to create a box with the greatest volume. Learners determine the equation of the volume...
Flipped Math
Calculus AB/BC - Introduction to Optimization Problems
Let's get the equation set. Pupils see the importance of setting up an one-variable equation in the first of two lessons on optimization problems. The presenter works four different types of problems before individuals use the included...
Curated OER
Optimization
Learners identify the critical points to a function. In this calculus instructional activity, students perform optimization of functions. They use the TI to create a visual of the graph.
Curated OER
Multivariable Calculus Quiz 7
In this math activity, students practice using the concept of multivariable optimization. They find the maximum and minimum values of the surface z.
Flipped Math
Calculus AB/BC - Solving Optimization Problems
Move beyond setting up equations. Pupils continue with optimization problems and use their knowledge of derivatives to find solutions. They watch as the video uses equations from previous examples and find solutions to answer specific...
Curated OER
River Optimization Problem
Students define the different methods used for optimizing a particular element of a problem. In this optimization problem lesson, students optimize appropriate details of a problem using data collection, algebra, technology, and/or...
Curated OER
Basic Calculus: Extrema, and Optimization: Putting it all Together
For this extrema and optimization worksheet, students identify all points in the domain and determine the critical points. They compute the second derivative and find the global maxima and minima. This two-page worksheet contains two...
Curated OER
Cutting Corners - Parts 1 and 2
High schoolers use optimization concepts to design their own container. In this optimization lesson plan, students understand how the optimization concept is critical in calculus and why products are packaged the way they are.
Curated OER
Explanation of Optimal A
In this math activity, students examine the concept of optimal A and solve a problem using the example. They find the error in the rounding.
Curated OER
Quiz 7: Multivariable Calculus
Test your students' calculus skills with this quiz, the first page of which includes instructions and an honor pledge. On the second page, students find the maximum and minimum values of the of an identified figure with given...
Curated OER
Engineering in a Calculus Classroom
Learners solve several differential equations. In this calculus lesson, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.
Curated OER
Maxima and Minima Problems
Students calculate the maxima and minima of quadratic equations. In this calculus lesson, students apply the derivatives by finding the maxima and minima using real life application. They solve optimization using the derivative.
Curated OER
Extrema on an Interval
Students explore maximum and minimum points, slopes and tangents. In this Pre-Calculus lesson, students solve optimization problems and find rates of change.
Curated OER
Applied Maxim Mininmum Problems
Young scholars define the maximum and minimum of an equation. In this calculus lesson plan, students analyze point on a graph and determine when a graph is approaching a maximum or minimum. They take a Quiz after working some review...
Curated OER
Multivariable Calculus/ Method of LaGrange
In this math instructional activity, students write down the three equations which need to be solved in order to maximize P subject to the constraint.
Curated OER
Quiz 8: Multivariable Calculus
Students list all equations needed to solve a three variable equation using the Method of Lagrange, after first signing an honor pledge to promise that they have followed the rules on the first page. They solve each equation, telling the...
Curated OER
Worksheet #5, Concavity,
In this calculus worksheet, learners determine the intervals in which a given relation is concave up. They determine the inflection points of a given formula. Students use the second derivative test to classify the relative extrema of a...
Curated OER
The Apple Orchard Problem
Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. In this apple orchard instructional activity, students collect data in order to solve the apple orchard problem...
Curated OER
The Corner Problem
Students explore the concept of the corner problem. For this corner problem lesson, students use the TI-NSpire to determine the maximum length a rod can be and still pass horizontally around a corner. Students use similar triangles to...
Texas Instruments
TI-Nspire™ CAS
When it comes to rating educational calculators, this calculator is always near the top of this list. Now it's available as an app. There is a lot of calculator power wrapped up in this app. Not only is this a fully functioning...
Texas Instruments
TI-Nspire™
We landed on the moon with less computing capabilities than you can find in this app! Here is a multiple function calculator that takes all the power you get from a handheld and adds the wonderful large screen that only a tablet can...
Illustrative Mathematics
The Physics Professor
Help mathematicians see that a formula found in a physics book has an algebraic structure. Though the formula given in the resource looks complicated, learners are to break down the expressions and interpret each part separately....
EngageNY
Modeling with Polynomials—An Introduction (part 1)
Maximizing resources is essential to productivity. Class members complete an activity to show how math can help in the process. Using a piece of construction paper, learners construct a box with the maximum volume. Ultimately, they...