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AP Calculus Volumes with Cross Sections: 3D Print Models Bundle
Students often find it challenging ot visualize volumes in calculus classes. This is a file to 3D print 5 models of volumes whose cross sections are perpendicular to the x-axis, between the curves y=x^2 and y=sqrt(x). These reflect examples found in online free flipped classroom resources and YouTube videos. The 6th volume graph models an example from AP Calculus unit 8.7 examples and is of a volume whose cross sections are squares, within a circle with radius 4. The download is for a ZIP file
9th - 12th, Adult Education, Higher Education
Calculus, Geometry, Graphing
AP Calculus Volumes 3D Print Model: Circle with radius 4 & square cross-sections
Students often find it challenging ot visualize volumes in calculus classes. This is a file to 3D print a model of a volume whose cross sections are squares perpendicular to the x-axis, whose base is the equation of a circle with radius 4. This is a classic example used in multiple calculus textbooks, online resources and advanced placement. The download is for an .stl file, which should be printed at very fine resolution. The printed model is 10x10 cm (approximately 4x4 inches).
9th - 12th, Adult Education, Higher Education
Calculus, Geometry, Graphing
Also included in: AP Calculus Volumes with Cross Sections: 3D Print Models Bundle
Calculus Volumes 3D Print Model: Equilateral Triangle in y=x^2 and y=sqrt(x)
Students often find it challenging ot visualize volumes in calculus classes. This is a file to 3D print a model of a volume whose cross sections are equilateral triangles perpendicular to the x-axis, whose base is defined by the distance between the curves y=x^2 and y=sqrt(x). The download is for an .stl file, which should be printed at very fine resolution. The printed model is 10x10 cm (approximately 4x4 inches).
9th - 12th, Adult Education, Higher Education
Calculus, Geometry, Graphing
Also included in: AP Calculus Volumes with Cross Sections: 3D Print Models Bundle
Calculus Volumes 3D Print Model: Isosceles Triangles between y=x^2 and y=sqrt(x)
Students often find it challenging ot visualize volumes in calculus classes. This is a file to 3D print a model of a volume whose cross sections are isosceles triangles perpendicular to the x-axis, whose base is defined by the distance between the curves y=x^2 and y=sqrt(x). The download is for an .stl file, which should be printed at very fine resolution. The printed model is 10x10 cm (approximately 4x4 inches).
9th - 12th, Adult Education, Higher Education
Calculus, Geometry, Graphing
Also included in: AP Calculus Volumes with Cross Sections: 3D Print Models Bundle
Calculus Volumes 3D Print Model: Rectangles between y=x^2 and y=sqrt(x)
Students often find it challenging ot visualize volumes in calculus classes. This is a file to 3D print a model of a volume whose cross sections are rectangles perpendicular to the x-axis, whose base is defined by the distance between the curves y=x^2 and y=sqrt(x), and have a height twice the base. The download is for an .stl file, which should be printed at very fine resolution. The printed model is 10x10 cm (approximately 4x4 inches).
9th - 12th, Adult Education, Higher Education
Calculus, Geometry, Graphing
Also included in: AP Calculus Volumes with Cross Sections: 3D Print Models Bundle
Calculus Volumes 3D Print Model: Squares between y=x^2 and y=sqrt(x)
Students often find it challenging ot visualize volumes in calculus classes. This is a file to 3D print a model of a volume whose cross sections are squares perpendicular to the x-axis, whose base is defined by the distance between the curves y=x^2 and y=sqrt(x). The download is for an .stl file, which should be printed at very fine resolution. The printed model is 10x10 cm (approximately 4x4 inches).
10th - 12th, Adult Education, Higher Education
Calculus, Geometry, Graphing
Also included in: AP Calculus Volumes with Cross Sections: 3D Print Models Bundle
Calculus Volumes 3D Print Model: Semicircles between y=x^2 and y=sqrt(x)
Students often find it challenging ot visualize volumes in calculus classes. This is a file to 3D print a model of a volume whose cross sections are semicircles perpendicular to the x-axis, whose diameter is defined by the distance between the curves y=x^2 and y=sqrt(x). The download is for an .stl file, which should be printed at very fine resolution. The printed model is 10x10 cm (approximately 4x4 inches).
9th - 12th, Adult Education, Higher Education
Calculus, Geometry, Graphing
Also included in: AP Calculus Volumes with Cross Sections: 3D Print Models Bundle
Jamestown Executive Decision Tool | Weighted Matrix & Data Analysis PBL
Transform your Jamestown unit into a high-stakes corporate simulation. Move beyond rote memorization and challenge your students to think like 17th-century consultants. In this "Executive Decision Tool" activity, students analyze the Jamestown venture not just as a historical event, but as a failing business investment for the Virginia Company of London. Using a Weighted Analysis Matrix, students must evaluate critical survival factors—Financial ROI, Military Defense, Public Health, and Diplom
9th - 12th, Higher Education
British History, Graphing, U.S. History
Advanced Curve Sketching Practice — Calculus AB/Calculus 1
Transform curve sketching from a memorized checklist into a meaningful reasoning process. This Calculus AB practice packet gives students 10 full curve-sketching problems that build conceptual understanding through progressively challenging function types — polynomial, rational, trigonometric, logarithmic, exponential, and piecewise. Each question leads students through: Domain and range reasoning Continuity and differentiability Critical points and increasing/decreasing intervals Concavi
9th - 12th, Higher Education
Calculus, Graphing
Also included in: Advanced Curve Sketching Practice & Key— Calculus AB/Calculus 1
Animals Workbook | Adaptations, Behavior & Life Cycles | Answer Key
Help students explore animal biology through observation, analysis, data collection, graphing, reflection, and real-world connections. This printable Animals Unit Workbook introduces students to the ways animals survive, interact with their environments, and shape ecosystems. Students compare vertebrates and invertebrates, examine physical and behavioral adaptations, analyze predator-prey relationships, investigate community interactions, and collect data through an animal observation challenge
7th - 10th, Higher Education
Biology, General Science, Graphing
CCSS, NGSS
RST.9-10.1
, RST.9-10.2
, RST.9-10.4
+9
Integral Fundamentals Workbook | Calculus Practice with Step-by-Step Solutions
Build a strong foundation in Calculus with this comprehensive Integral Fundamentals Workbook! Designed for high school Calculus, AP Calculus AB, and introductory college Calculus courses, this resource helps students master essential integration concepts through structured practice and detailed solutions.Students will develop confidence with indefinite integrals, definite integrals, integral properties, piecewise functions, motion applications, and mixed review problems while receiving clear ste
10th - 12th, Higher Education
Calculus, Graphing, Math Test Prep
Graphing Trig Functions Review Worksheet Digital Form Task Card Precalculus
Ignite Graphing Trig Functions Mastery with "Two Truths & a Lie"! Students graph 8 Trig functions then use critical thinking to determine 10 lies in the "Two Truths & a Lie" section. Say goodbye to tedious worksheets and hello to engaging exploration with this dynamic "Two Truths & a Lie" activity, designed to solidify your students' understanding of graphing trigonometric functions. What's Inside?In-Depth Analysis: Students will dissect 8 meticulously crafted trigonometric graphs and equa
11th - 12th, Higher Education
Algebra 2, Graphing, PreCalculus
CCSS
HSF-TF.A.2
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