College Board
2006 AP® Calculus AB Free-Response Questions Form B
An exam divides the six free-response questions into calculator use and no calculator use items. The non-calculator items are conceptual in nature and test whether pupils understand the calculus concepts. Scholars explain their answers...
College Board
2003 AP® Calculus AB Free-Response Questions Form B
Get a better grasp of the intended content. The six free-response questions provide insight into the purpose of the AP® Calculus content. Two questions have real-world context while the remaining are void of context. The items range from...
Concord Consortium
School Bus Routes
Plan the way to school. Given a map of a school district, class members portray a transportation consultant hired to develop a bus transportation plan that will pick up the eligible riders and get them to school. The plan must contain...
Purdue University
Design of a Reindeer Habitat for an Indiana Zoo
What would Rudolph ask for in his ideal home? Pupils analyze the characteristics of the reindeer to create their perfect zoo habitats. A STEM lesson focuses on the design of the habitat while factoring constraints such as space, diet,...
California Education Partners
Tile Mural
Paste this resource into your lesson plans like you'd paste a tile onto a mural. Given a diagram of a tile mural with rectilinear figures, future artists determine the perimeters and areas of the figures. They must then develop their own...
California Education Partners
Lashelles Garden
Let knowledge grow bountifully like plants in a garden. Given a diagram of a rectangular garden split into plots, scholars determine the area of the entire garden and the areas of the individual plots. As a culminating activity, they...
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....
PBS
Accessible Shapes
All the 2-D and 3-D measurement work you need is in one location. Divided into three sections, the geometry lesson plans consist of visualization of three dimensions, classifying geometric figures, and finding surface area and volume....
CCSS Math Activities
Smarter Balanced Sample Items: 6th Grade Math – Target H
Knowing the surface area certainly helps when deciding how much paint to buy before a project. Scholars solve for surface area, as well as volume and area, as part of the presentation from Grade 6 Claim 1 Item Slide Shows. Geometric...
CCSS Math Activities
Smarter Balanced Sample Items: 7th Grade Math – Claim 3
Does the explanation make sense? Sample items highlight claim three, communicating reason, in the Smarter Balanced assessments. Teachers use the 16 items to help show pupils the importance of communication and reasoning within...
CCSS Math Activities
Smarter Balanced Sample Items: 7th Grade Math – Claim 2
To solve or not to solve that is the problem. A slide presentation of 17 items show different ways that Smarter Balanced assesses Claim 2, problem solving. The items span from sixth and seventh grade concepts to highlight the...
CCSS Math Activities
Smarter Balanced Sample Items: 7th Grade Math – Target F
Sometimes it's how you ask the question that counts. The sixth installment of nine from the Smarter Balanced Claim 1 Slideshow series presents a set of 13 questions to assess understanding of angle relationships as well as area and...
Mathed Up!
Functional Maths Questions
Dang, it's a word problem! Pupils address a variety of word problems that involve knowledge of proportions and geometric topics. The General Certificate of Secondary Education review problems require determining costs based on area...
Mathed Up!
Surface Area
Surface area is the sum of the parts. Given the measurements of different prisms, pupils determine their surface areas. Individuals find the area of each surface and figure out the surface area by finding the sum. The video, part of a...
Mathed Up!
Similar Shapes
Similar shapes are all about the scale. Given seven problems, pupils use scale factors to determine measurements within similar shapes. While solving the problem, scholars also determine whether two figures are similar and use area and...
PBS
Real-World Ratio and Rate Reasoning: How to Power the Skate Park
Bring on the lights! Using an interactive, characters try to figure out how to light a skate park by examining area and ratios to determine the number of solar panels needed to power them. Pupils design a house with a roof to hold solar...
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.
Mascil Project
Circular Pave-Stones Backyard
Pack the lesson into your plans. Young mathematicians learn about packing and optimization with the context of circular paving stones. They use coins to model the paving stones, and then apply knowledge of circles and polygons to...
Concord Consortium
Strings and Areas
You'd be surprised what you can do with a string! The constraint is the length of string, and the task is to maximize area. Given a series of composite shapes, learners must create a formula for the maximum area for a specified...
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
Circumscribed Polygon
Trigonometry teachers often go off on a tangent, and here's a activity that proves it! First, young mathematicians use a formula with tangent to prove a formula correct for area. Then, they draw conclusions about the area of a circle...
Mascil Project
Teaching Geometry Through Play
Puzzle your way through to a new understanding of area. Scholars learn about the area of polygons through equidecomposability, the idea that polygons that can be decomposed into the same set of pieces have the same area. By using...
Mascil Project
Arranging Tables for a Birthday
Planning a party of 45 guests may be more complicated than it would seem. Learners must design the space in accordance with these constraints about the space available in the room. They need to calculate area, circumference, and linear...
Mascil Project
Design a Parking Garage
Parking structures don't build themselves. Investigate the process of designing and planning the construction of a parking garage. After considering the factors that must go into the design, scholars create their own models from a set of...