Curated OER
Effects of Changing Dimensions Proportionally
In this geometry activity, students describe the effect of a proportional change on the perimeter or circumference and area of the given circles or quadrilaterals. The one page activity contains ten problems. Answers are...
Curated OER
Effects of Changing Dimensions Proportionally
For this geometry worksheet, 10th graders examine the effect of changing the dimensions of a figure proportionally on the perimeter, circumference, and area. The one page worksheet contains six problems. Answers are...
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.
California Education Partners
Yum Yum Cereal
Design an efficient cereal box. Scholars use set volume criteria to design a cereal box by applying their knowledge of surface area to determine the cost to create the box. They then determine whether their designs will fit on...
Balanced Assessment
Square and Circle
To determine the dimensional change to quadruple the area, class members determine how to increase the dimensions of a square and a circle to increase the perimeter by a given factor. they then calculate the necessary factor to...
Curated OER
Surface Area and Volume
Accompanying the lesson at www.shodor.org, this worksheet present students with a series of questions about the volume and surface area of a rectangular prism and a triangular prism. Students predict how these values would change if the...
Illustrative Mathematics
Distance across the channel
Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...
Curated OER
Area and Volume
In this area and volume activity, students calculate the area, volume, and length of sides of different cubes. Students complete this for 3 cubes and answer 3 questions.
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...
Balanced Assessment
Square in Square
Challenge the class to devise a method to determine the dimensions of a rectangle inscribed in another rectangle. Pupils make connections between functions and geometry as they examine the area and perimeter of a square or...
Virginia Department of Education
Similar Solids and Proportional Reasoning
Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...
Noyce Foundation
Which is Bigger?
To take the longest path, go around—or was that go over? Class members measure scale drawings of a cylindrical vase to find the height and diameter. They calculate the actual height and circumference and determine which is larger.
Curated OER
Quiz 9
In this rate of change worksheet, students complete two essay questions. They describe the rate of change for a rectangle. Students tell the dimensions of a rectangular pen that will result in the maximum area.
Willow Tree
Measurement
Build a basic understanding of units of measure and create a great foundation for your learners. The lesson plan gives a complete overview of everything measurement, from types of measurement to rounding to conversions — it has it...
Inside Mathematics
Swimming Pool
Swimming is more fun with quantities. The short assessment task encompasses finding the volume of a trapezoidal prism using an understanding of quantities. Individuals make a connection to the rate of which the pool is filled with a...
Curated OER
Cylinder: Student Worksheet
Pairs of geometry whizzes work together to determine which of three differently shaped cylinders will have the greatest volume. Pupils cut out the three rectangles embedded in the plan, and tape them together to form a cylinder. From...
Curated OER
Worksheet 22-Fall 1995
In this math worksheet, students examine the graph of the derivative. Then they determine the critical points that correspond to the relative extrema.
Curated OER
Cylinder: Teacher Notes
Middle schoolers construct a basic cylinder out of a piece of paper, then answer seven questions about their cylinder. Questions have to do with measurement, volume, radius, etc.
Curated OER
Cylinder: Student Worksheet
In this cylinder worksheet, students compare three different cylinders to experiment which one has the greatest volume. Students interact with rectangles as they experiment with the cylinders.
Curated OER
Measuring Volume
In this volume worksheet, students list the steps they would use to find the volume of different gallon tanks. Students complete 5 measurement problems.
Curated OER
Seven Volume of a Prism Problems
In this volume of a prism worksheet, students calculate the volumes and missing lengths of seven prisms. The solutions are provided.