Assessment
Noyce Foundation

Photographs

For Teachers 6th - 7th Standards
Scaling needs to be picture perfect. Pupils use proportional reasoning to find the missing dimension of a photo. Class members determine the sizes of paper needed for two configurations of pictures in the short assessment task.
Assessment
Achieve

Dairy Barn

For Students 7th - 10th Standards
Agriculture is truly a math-based profession! Help the dairy farmer determine the supplies needed to complete his barn. Using given dimensions, learners build equations and use units to determine the correct amount of materials.
Assessment
Bowland

Smoothie Box

For Teachers 5th - 7th Standards
Make it a tight fit. Given drawings of a smoothie bottle, pupils need to determine the size of a box to hold 12 bottles. Scholars draw a net to show the dimensions needed to create a closed box that would not allow the bottles to move...
Lesson Plan
Curated OER

Glasses

For Teachers 7th - 9th Standards
Provide your class some practice with the dimensions of geometric figures. Here you have a set of three different-shaped, stemmed drinking glasses with diameters and heights provided. Math-minded individuals calculate the volume of each....
Activity
Illustrative Mathematics

Box of Clay

For Teachers 5th - 7th Standards
What happens to a volume when you scale the dimensions of a rectangular prism? In this problem, a box of clay is increased in each dimension, with the intent to see if learners can generalize the result. The addition of...
Assessment
CPALMS

2D Rotations of Triangles

For Students 9th - 12th Standards
Where does the line of rotation need to be to get a cone? Pupils respond to three questions involving rotating a right triangle about different lines. The scholars describe the solid created along with providing details about its...
Assessment
Inside Mathematics

Hopewell Geometry

For Teachers 9th - 12th Standards
The Hopewell people of the central Ohio Valley used right triangles in the construction of earthworks. Pupils use the Pythagorean Theorem to determine missing dimensions of right triangles used by the Hopewell people. The assessment task...
Assessment
Concord Consortium

Build a Box

For Students 9th - 12th Standards
Strive for gold with an informative resource. A short task challenges learners to investigate the thickness of a box made from a given volume of gold. The box must have specific dimensions, so setting up and solving a literal equation is...
Lesson Plan
EngageNY

Scaling Principle for Volumes

For Teachers 9th - 10th Standards
Review the principles of scaling areas and draws a comparison to scaling volumes with a third dimensional measurement. The exercises continue with what happens to the volume if the dimensions are not multiplied by the same...
Assessment
Mathematics Assessment Project

Smoothie Box

For Teachers 6th - 8th Standards
Pupils demonstrate their understanding of nets by designing a net of a box that contains 12 bottles. Given the full size top and side views of the bottle, they determine the dimensions needed for the finished box. The directions do...
Assessment
1
1
Balanced Assessment

Marbles in a Glass

For Students 9th - 12th Standards
Allow learners to design their own strategies to solve a problem. Given dimensions of a glass and a smaller marble, scholars must find the dimensions of a larger marble. The answer key suggests using the Pythagorean Theorem, but multiple...
Activity
Illustrative Mathematics

Cari's Aquarium

For Teachers 5th - 7th Standards
The volume of a fish tank is a rather important measure when it comes to building an aquarium for different species of fish. In this problem, your kids look at how many different ways they can make a fish tank of a specific volume,...
Lesson Plan
Illustrative Mathematics

Stained Glass

For Teachers 7th - 9th Standards
A complex question looking for the total cost of a stained glass window by calculating area and circumference of a circle. With detailed components, this activity will challenge your designers to figure out if they have enough money to...
Assessment
Mathematics Assessment Project

Matchsticks

For Teachers 6th - 8th Standards
How many matchsticks can be made from a single tree? That is the problem facing middle schoolers. Scholars first determine the volume of a matchstick given its dimensions, and then use this information to estimate the number of...
Assessment
Mathematics Assessment Project

Photographs

For Teachers 6th - 8th Standards
Picture your pupils using this assessment task. Class members must first determine the measurements of smaller copies of photographs placed next to the original. They then determine the dimensions of the entire sheet of photographs.
Assessment
Mathematics Assessment Project

Funsize Cans

For Students 9th - 11th Standards
Designing fun-size cans ... what fun! Class members use the provided questions to determine the dimensions of a can with a minimum surface area for a given volume. The task allows learners to use graphs or algebraic manipulation to...
Assessment
Mathematics Assessment Project

A Million Dollars

For Teachers 6th - 8th Standards
Could you carry a million dollars in $1 bills? As a middle school assessment task, learners investigate different questions regarding a million dollars. They then determine how long it would take to make a million dollars, how...
Assessment
Bowland

Bunting

For Students 6th - 8th
How much fabric is necessary for bunting? Scholars use given dimensions of triangular bunting (hanging decorations) to determine the amount of fabric necessary to decorate a rectangular garden. The task requires pupils to consider...
Assessment
1
1
Balanced Assessment

Square in Square

For Students 11th - 12th Standards
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...
Assessment
1
1
Balanced Assessment

Egyptian Statue

For Students 9th - 12th Standards
Investigate the proportional relationships of length, area, and volume. Learners use the dimensions of rectangular prisms to create ratios and proportions. They compare the different ratios to solve more advanced problems.
Assessment
1
1
Balanced Assessment

Square and Circle

For Students 9th - 12th Standards
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...
Assessment
CCSS Math Activities

Ferris Wheel

For Students 9th - 12th Standards
Wheel the resource right into your classroom. Young mathematicians use given dimensions of a Ferris wheel to write a height versus time function. They use their functions to answer a set of questions about the Ferris wheel.
Assessment
Concord Consortium

Bicycle Chain

For Students 10th - 12th Standards
Model a bicycle chain with circles and tangent lines. Given the dimensions of the sprocket wheels, young scholars calculate the length of the chain that surrounds them. A second task has learners write a function for the length of a...
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...

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