EngageNY
General Prisms and Cylinders and Their Cross-Sections
So a cylinder does not have to look like a can? By expanding upon the precise definition of a rectangular prism, the lesson develops the definition of a general cylinder. Scholars continue on to develop a graphical organizer for the...
University of Utah
Geometry Part 2: Measurement in 2- and 3-Dimensions, Plane Sections of Solids
What kind of tree does a math teacher climb? A geometry! Here is a lesson that includes all the geometry resources you could ever wish for in one comprehensive workbook. Class members demonstrate what they have learned by determining the...
EngageNY
How Do 3D Printers Work?
If we stack up all the cross sections of a figure, does it create the figure? Pupils make the connection between the complete set of cross sections and the solid. They then view videos in order to see how 3D printers use Cavalerie's...
EngageNY
The Volume of Prisms and Cylinders and Cavalieri’s Principle
Young mathematicians examine area of different figures with the same cross-sectional lengths and work up to volumes of 3D figures with the same cross-sectional areas. The instruction and the exercises stress that the two figures do not...
Houston Area Calculus Teachers
Area and Volume
An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created from the...
Curated OER
Solid Rocket Boosters-II
In this solid rocket boosters instructional activity, students solve 2 problems using a grid showing a cross section of a proposed solid rocket booster. Students complete the grid and shade the rings of combustion in 15-second step...
Curated OER
Surface Area of Prism
Tenth graders are provided instructions, including a video, on calculating the surface area of a prism. The one-page interactive worksheet contains two worked questions. Answers are included.
Curated OER
Applications of Hyperbolas
In this hyperbola worksheet, 10th graders solve and complete 6 different problems. First, they determine the cross-section of a hyperbolic paraboloid curve. Then, students find where the cone intersects the ground in hyperbola as...
Curated OER
Solid Rocket Boosters
In this rocket worksheet, students calculate the burn rate for solid rocket boosters depending on exposed fuel area and burn depth. This worksheet has 2 problems to solve.
Curated OER
AP Calculus Practice Exam
For this Calculus worksheet, 12th graders are provided with practice problems for their exam. Topics covered include limits, derivatives, area bounded by a curve, minimization of cost, and the volume of a solid of revolution. The four...
K-State Research and Extensions
Water
How are maps like fish? They both have scales. The chapter includes six different activities at three different levels. Scholars complete activities using natural resources, learn how to read a map, see how to make a compass rosette,...
Curated OER
AP Calculus Practice Exam BC Version- Section I -Part B
In this AP Calculus Practice Exam worksheet, students solve seventeen multiple-choice questions using a graphing calculator. This BC practice test is designed to be finished in fifty minutes.
Curated OER
A.P. Calculus Practice Exam BC Version Section I Part B
For this AP Calculus practice test worksheet, students prepare for the BC version on the test by solving seventeen multiple-choice questions using a calculator. The test should be timed and 50 minutes in length.
Curated OER
Trig and sine and cosine
In this trigonometric worksheet, students sketch given curves and calculate the area of the curve. They find the volume of solids. There are 3 questions.
Curated OER
Geometry Level 3
What a wonderful resource! Learners create two-dimensional shapes according to the instructions stated, use the squares to make a triangular prism, a cube, and a pyramid, and identify features of plane shapes, among a myriad of other...
EngageNY
The Volume Formula of a Sphere
What is the relationship between a hemisphere, a cone, and a cylinder? Using Cavalieri's Principle, the class determines that the sum of the volume of a hemisphere and a cone with the same radius and height equals the volume of a...
Mathed Up!
Nets, Plans, and Elevations
A dimensional resource teaches viewers to recognize 2-D views of 3-D objects and how to match nets with their 3-D figures. Individuals draw different views of three-dimensional objects including views from the front, side elevations and...
Curated OER
Soil Water Worksheet #1
Drawings of four groups of soil particles of varying sizes are displayed across the page for soil scientists to examine. As they complete the activity, place a set of similar soils at each table for hands-on experience. In this way, your...
Curated OER
Specific Resistance of Conductors
In this conductors worksheet, students complete 15 problems about conductance, strain gauge, and electrical resistance of conductors.
Curated OER
AP Calculus Practice Exam BC Version: Part B
In this calculus worksheet, students solve 17 multiple choice problems. Students find limits, summations, and derivatives of functions. Students find the area of an enclosed region between two curves.
Curated OER
Conductors and Insulators
In this conductors and insulators instructional activity, students answer 11 questions about electrical resistance, conductance, gauge scale, and breakdown voltage.
Curated OER
Worksheet 34 - Fall 1995
For this math worksheet, students sketch the finite area whose boundary is composed of pieces of the curves x =1− y 4 and x = y2 − 1.
Curated OER
Worksheet 5
In this math worksheet, students describe how to define surface area given a variety of situations from word problems. They solve for the volume using calculus.
Curated OER
Worksheet 35 - Fall 1995
In this math worksheet, students sketch the graphs labeling the point of intersection in the first quadrant. Then they find the area of Ω.