+
Worksheet
Curated OER

Four Calculus Derivative, Extrema, and Maximize Area Problems

For Students 11th - Higher Ed
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.
+
Lesson Plan
Curated OER

Perimeter and Area of a Rectangle

For Teachers 6th
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.
+
Lesson Plan
Curated OER

A Rectangular Prism and Its Net

For Teachers 6th - 10th
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!
+
Assessment
Concord Consortium

Swimming Pool I

For Students 9th - 11th Standards
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...
+
Lesson Plan
Curated OER

The Calculus Whiz Who Owned a Box Company

For Teachers 10th - 12th
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.
+
Activity
1
1
Illustrative Mathematics

Hexagonal Pattern of Beehives

For Teachers 9th - 12th Standards
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....
+
Assessment
Noyce Foundation

Pizza Crusts

For Teachers 6th Standards
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...
+
Lesson Plan
Cornell University

Atomic Bonding

For Teachers 6th - 12th Standards
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...
+
Assessment
Concord Consortium

Bricks for Books

For Students 5th - 7th Standards
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...
+
Assessment
Concord Consortium

Maximum Volumes

For Students 9th - 12th Standards
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.
+
Activity
Noyce Foundation

Surrounded and Covered

For Students K - 12th Standards
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...
+
Interactive
1
1
GeoGebra

Pet Sitters Feasible Region

For Students 9th - 12th Standards
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...
+
Interactive
Royal Society of Chemistry

Sodium Halide Reactions with Conc. H2SO4

For Students 6th - 12th Standards
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...
+
Lesson Plan
Curated OER

Fuel Mystery Dis-Solved

For Teachers 3rd - 5th
Learners 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 result data.
+
Worksheet
Curated OER

Squares

For Students 10th
In 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...
+
Lesson Plan
Curated OER

The Trappings of Trapezoids

For Teachers 8th - 10th
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.
+
Lesson Plan
Teach Engineering

All About Linear Programming

For Teachers 8th - 10th Standards
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....
+
Assessment
Inside Mathematics

Graphs (2004)

For Teachers 9th - 12th Standards
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...
+
Lesson Plan
Cornell University

Characterizing a Solar Cell

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

Applied Maxim Mininmum Problems

For Teachers 12th - Higher Ed
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.
+
Lesson Plan
Curated OER

Math: Solving Area and Perimeter Problems

For Teachers 6th - 8th
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...
+
Lesson Plan
Curated OER

A Cone and Its Net

For Teachers 6th - 10th
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...
+
Lesson Plan
Curated OER

Tchoukball - Lesson 7 - Tournament Design

For Teachers 9th - 12th
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...
+
Lesson Plan
Curated OER

Journalism: Foreign Language Summer Program for Teens

For Teachers 10th - 12th
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...