Curated OER
Four Calculus Derivative, Extrema, and Maximize Area Problems
For this calculus review worksheet, students find derivatives, calculate extrema on an interval, and maximize area. Students should be familiar with the derivatives of trigonometric functions.
Curated OER
Perimeter and Area of a Rectangle
Sixth graders fill out worksheets to find the perimeter and area of rectangles. In this perimeter and area lesson plan, 6th graders color in the area and measure the perimeters.
Curated OER
A Rectangular Prism and Its Net
Identify the nets for prisms and other geometric shapes. Learners calculate the surface area of the rectangular prism then sketch the shapes of prisms and other polygons. Unfolded cereal boxes are used as a visual aid, great idea!
Concord Consortium
Swimming Pool I
Take a dive into a three-dimensional task. Given a specific surface area, individuals must maximize the volume of a cylindrical swimming pool. They combine their understanding of surface area and volume to create a cubic function that...
Curated OER
The Calculus Whiz Who Owned a Box Company
Students use the relationship between volume and surface area to construct a box out of a piece of paper that maximizes volume using a table and by using graphing and calculus techniques.
Illustrative Mathematics
Hexagonal Pattern of Beehives
Young geometers and biologists investigate the math of nature in an activity that is just the bee's knees. Participants will study the tessellations of hexagons in a beehive, along with the natural rationale behind the specific shape....
Noyce Foundation
Pizza Crusts
Enough stuffed crust to go around. Pupils calculate the area and perimeter of a variety of pizza shapes, including rectangular and circular. Individuals design rectangular pizzas with a given area to maximize the amount of crust and do...
Cornell University
Atomic Bonding
Explore the connection of surface area to bonding within atoms. Learners complete lab investigations to model changing surface area with different sizes and concentrations of atoms. A flour fireball demonstration follows the labs to...
Concord Consortium
Bricks for Books
Maximize a profit with an understanding of geometric dimension. A real-world task challenges learners to design a pattern using three different brick shapes. The bricks are dedicated with a different donation for each shape, so part of...
Concord Consortium
Maximum Volumes
It's great to have a large swimming pool. An interesting performance task asks learners to optimize the volume of pools for a given surface area. They consider four different shapes for pools and find the maximum volume for each pool.
Noyce Foundation
Surrounded and Covered
What effect does changing the perimeter have on the area of a figure? The five problems in the resource explore this question at various grade levels. Elementary problems focus on the perimeter of rectangles and irregular figures with...
GeoGebra
Pet Sitters Feasible Region
Find the best way to maximize the profit. Pupils graph four constraints of a pet-sitting company, using a revenue equation to find a maximum amount the sitters can earn. By using the equation, scholars determine the number of cats and...
Royal Society of Chemistry
Sodium Halide Reactions with Conc. H2SO4
What do you get when you combine precipitate reactions with puzzles? Maximize the engagement in a single replacement reactions lesson by incorporating fun puzzles. Chemistry scholars observe the reaction between several sodium halides...
Curated OER
Fuel Mystery Dis-Solved
Young scholars describe how temperature and surface area exposure affect the rate at which fuel is consumed. They explain why engineers want to know about the properties of a fuel when designing rockets. They create a bar graph of...
Curated OER
Squares
For this squares worksheet, 10th graders solve and complete 7 various types of problems. First, they divide a product of one with a square of the other. Then, students find the dimensions of a rectangle that will maximize the area. In...
Curated OER
The Trappings of Trapezoids
Learners define trapezoids and their shapes. In this geometry lesson, students calculate the area of a trapezoid and a parallelogram. They use Cabri software to make investigations.
Teach Engineering
All About Linear Programming
Class members connect engineering with an understanding of linear programming using a technical resource. Scholars learn about linear programming (linear optimization) and how it applies to engineering design in the first of two modules....
Inside Mathematics
Graphs (2004)
Show your pupils that perimeter is linear and area is quadratic in nature with a short assessment task that requests learners to connect the graph and equation to a description about perimeter or area. Scholars then provide a...
Cornell University
Characterizing a Solar Cell
Young classes are sure to get a charge out of this instructional activity! Learners experiment with circuits of a solar cell. They practice determining current, voltage, and power for the circuit and maximize the voltage and current of...
Curated OER
Applied Maxim Mininmum Problems
Students define the maximum and minimum of an equation. In this calculus lesson, 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 problems.
Curated OER
Math: Solving Area and Perimeter Problems
Students visit www.explorelearning.com/ Website to solve problems in area and perimeter. Next, they locate the vertex of a quadratic equation. In groups, students construct application problems and exchange them with other groups to...
Curated OER
A Cone and Its Net
Create and investigate nets for solid shapes with your class. They identify the different parts and faces of each polygon and solid then calculate the surface area and volume of cones. They use circle sectors of varying sizes to build...
Curated OER
Tchoukball - Lesson 7 - Tournament Design
Lesson 7 in this Tchoukball unit presents many forms of tournaments. This lesson will then use a modified form of a 3 v 3 tournament. It's organized to maximize practice time in preparation for the following big tournament. Players will...
Curated OER
Journalism: Foreign Language Summer Program for Teens
Students research the new Foreign Language Academy and other free summer programs at colleges for teens. They write features stories about the opportunities and interview deans and university officials. Students also interview school...