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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
Worksheet on Integration
Integration – Multiple Choice Practice Worksheet or QuizThis printable and digital worksheet/quiz is the perfect no-prep way to reinforce IB Math Applications and Interpretation SL Topic 5.5: Integration as anti-differentiation. Whether you're reviewing in class or assigning independent practice, your students will benefit from structured, targeted questions that strengthen their foundational calculus skills. IB Standard Covered:SL 5.5: Integration as anti-differentiation Students develop fluen
10th - 12th
Calculus, Math Test Prep, Other (Math)
Also included in: IB Math Applications & Interpretation SL Topic 5 Calculus BUNDLE
Addition within 20 Math Center | Spring Flower Activity | Hands-on Practice
Make addition practice fun and interactive with this engaging flower-themed matching activity! Perfect for building fluency within 10–20, this resource encourages active learning through visual and hands-on play. What’s included: 🌼 16 flower task cards with addition problems (10–20) 🌿 Matching stems and leaves with the correct answers 📝 1 results recording sheet for students to track their work 🏷️ 2 team templates for fun classroom competitions How it works: Students solve the addition pr
K - 1st
Basic Operations, Calculus, Other (Arts)
Integration Maths Examples
IB Math AI SL Topic 5.5 – Integration | Teaching Slides + Student Notes (PDF)Introduce integration with this ready-to-use, visually structured PowerPoint presentation designed for IB Math Applications and Interpretation SL Topic 5.5: Anti-differentiation. Whether you're launching your calculus unit or reinforcing key skills, this resource provides clear examples, worked solutions, and built-in practice to support student understanding of integration as the reverse process of differentiation. Th
10th - 12th
Calculus, Math Test Prep, Other (Math)
Also included in: IB Math Applications & Interpretation SL Topic 5 Calculus BUNDLE
AP Calculus AB Study Guide – Complete Review Guide (College Board Aligned)
Prepare for the AP Calculus AB exam with this all-inclusive study guide, carefully crafted to cover every topic outlined in the official AP College Board curriculum. This resource breaks down essential concepts including limits, continuity, derivatives, applications of derivatives, integrals, the Fundamental Theorem of Calculus, differential equations, and more. Each section includes detailed explanations, step-by-step example problems, and visual aids to reinforce understanding. You'll also
9th - 12th
Calculus
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