Illustrative Mathematics
Stained Glass
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...
Doing Maths
Insulating the House
Finding the area of a rectangle is the focus of this metric worksheet. Here, mathematicians use their knowledge of finding the area of a shape in meters to discover how much material can fit inside a shape.
Curated OER
Jack and The Beanstalk Estimation
Introduce the day's lesson by reading Jack and The Beanstalk by Richard Walker, and then review the concept of area with your class. We don't always need rulers to measure, though! Teach learners how to use their hands to help us measure...
EngageNY
Modeling Riverbeds with Polynomials (part 2)
Examine the power of technology while modeling with polynomial functions. Using the website wolfram alpha, learners develop a polynomial function to model the shape of a riverbed. Ultimately, they determine the flow rate through the river.
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.
Mathematics Assessment Project
Solving Problems with Circles and Triangles
After completing a task involving examining the ratio of areas of triangles and circles in a given figure, scholars examine sample responses to identify other strategies they could use to solve the problem.
Curated OER
Rectangular Gardens Within A Given Perimeter
Sixth graders design rectangular gardens with a given perimeter and generalize how to maximize the area Students applying the formulas for perimeter and area of polygons. They analyze length, area, and volume and make relationships...
Concord Consortium
Painted Stage
Find the area as it slides. Pupils derive an equation to find the painted area of a section of a trapezoidal-shaped stage The section depends upon the sliding distance the edge of the painted section is from a vertex of the trapezoid....
DK Publishing
Cubes of Small Numbers
Now that geometers know how to solve for square units, can they solve for cubed units? Explore this concept as scholars examine four cubes to solve for volume in each. A detailed example explains this process, but you may consider asking...
Los Angeles County Office of Education
Assessment For The California Mathematics Standards Grade 4
Have scholars show what they know with a 20-page assessment aligned to the California State Standards. The test covers concepts such as large and whole numbers, all four mathematical operations, fractions, decimals, geometric figures,...
Mathematics Assessment Project
Discovering the Pythagorean Theorem
Young mathematicians join the ancient order of the Pythagoreans by completing an assessment task that asks them to find the area of tilted squares on dot paper. They then look at patterns in the squares to develop the...
Alaska Department of Education
Mathematics Reference Sheet
Triangles and prisms don't stand a chance when your learners use this handout full of the formulas they need to know about the different shapes. Area, volume, and surface formulas are all covered along with the standard measurement and...
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...
Concord Consortium
Divisions
Divide and conquer the geometry problem. Young scholars consider how to subdivide triangles into smaller ones that have equal areas. They must apply their knowledge of medians to help accomplish the task.
Bowland
Design the Mascot
Explore how resizing an object affects its area. The set of lessons challenges young mathematicians to design a mascot for electronic devices. These designs undergo resizing to determine how scale factors of dilation affect area.
Curated OER
Stack It Up!
Learners analyze and begin to design a pyramid. Working in engineering teams, they perform calculations to determine the area of the pyramid base, stone block volumes, and the number of blocks required for their pyramid base. They make a...
Curated OER
Building Big and Strong
Middle and high schoolers explore the concepts of architectural rigidity. They analyze a variety of polygons, and explain why some shapes add more strength to structures than others. The PBS video, "Building Big," is utilized in this plan.
Curated OER
Poly-Mania
This hands-on instructional activity takes young geometers on a tour of 2D polygons and 3D polyhedrons. After exploring different web resources and discussing geometric shapes, small groups construct models of polyhedrons using bendable...
101 Questions
Apple Mothership
Explore Apple's spaceship office building. Built in the shape of a circle, the office building offers a unique floor plan challenge. Young scholars use the dimensions of the building to estimate the square footage for each employee.
Curated OER
TAKS Math Quiz-Finding Area
In this TAKS math quiz worksheet, students take an online quiz focused on finding area of shapes. Quiz can be graded online by clicking a link.
Denton Independent School District
Build a Geome-Tree
Geometers construct a mobile or ornament using nets of three-dimensional polyhedrons. Not only do they need to compute the volume and surface area of each figure, they also earn points for creativity, neatness, and more!
PreKinders
Math Assessment
Keep track of your preschoolers' skills with an assessment sheet. Learners recognize shapes, numbers, colors, and count to ten, and teachers mark which areas they need to work on.
Curated OER
Area of 2D Shapes
In this area worksheet, students commence solving for area of squares and rectangles, and continue to parallelograms and triangles, and continue again to rhombi and trapezoids and finish with circles, polygons, and shaded...
Curated OER
Area Formulas
Teach your pupils to calculate the area of different polygons. Learners create formulas to solve their problems. They use the TI navigator to graph their shapes and observe the change in area.