Work 2b: Explore 2-Dimensional and 3-Dimensional Shapes (Geometry)
Learning Module
- Creator(s):
Abstract
The eighth to tenth graders/Year 8-10 students demonstrate their learning and understanding through their comprehension of 2-dimensional and 3-dimensional shapes. Since students already learned and had a foundation of 2-dimensional shapes during their sixth or seventh grade, they will explore their fundamental knowledge of 2-dimensional shapes by reviewing the concepts and practicing in Khan Academy, and they also will use the online platform to construct simple and complicated 2-dimensional polygons. Moreover, they will discover the 3-dimensional shapes through reading, watching videos, and practicing in Khan Academy. They also investigate the differences between the 2-dimensional and 3-dimensional shapes by comparing and contrasting them. In addition, they will express what they have been learned and understood through various assessments and hands-on projects. Therefore, students will be able to comprehend their knowledge of 2-dimensional and 3-dimensional shapes.
Common Core State Standards
CCSS.MATH.CONTENT.7.G.A.1
Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
CCSS.MATH.CONTENT.7.G.A.2
Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
CCSS.MATH.CONTENT.7.G.A.3
Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.
CCSS.MATH.CONTENT.7.G.B.4
Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.
CCSS.MATH.CONTENT.7.G.B.6
Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
CCSS.MATH.CONTENT.HSG.GMD.A.3
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.*
CCSS.MATH.CONTENT.HSG.GMD.B.4
Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
CCSS.MATH.CONTENT.HSG.MG.A.1
Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).*
CCSS.MATH.CONTENT.HSG.MG.A.3
Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).
CCSS.ELA-LITERACY.SL.9-10.1
Initiate and participate effectively in a range of collaborative discussions (one-on-one, in groups, and teacher-led) with diverse partners on grades 9-10 topics, texts, and issues, building on others' ideas and expressing their own clearly and persuasively.
CCSS.ELA-LITERACY.SL.9-10.2
Integrate multiple sources of information presented in diverse media or formats (e.g., visually, quantitatively, orally) evaluating the credibility and accuracy of each source.
CCSS.ELA-LITERACY.SL.9-10.4
Present information, findings, and supporting evidence clearly, concisely, and logically such that listeners can follow the line of reasoning and the organization, development, substance, and style are appropriate to purpose, audience, and task.
CCSS.ELA-LITERACY.SL.9-10.5
Make strategic use of digital media (e.g., textual, graphical, audio, visual, and interactive elements) in presentations to enhance understanding of findings, reasoning, and evidence and to add interest.
Keywords
2-dimensional shapes, 3-dimensional shapes, geometric, polygon, perimeter, area, surface area, volume, construction, real-world application, property, fact, formula, Desmos, GeoGebra
Knowledge Objectives
This Learning Module is based upon the Common Core State Standards and the Curriculum of Chicago Public Schools: Geometric Shapes.
As a result of completing this Learning Module, the learning objectives are:
Learning Intention: I can recognize what you know or don’t know about shapes
Take this survey to see what you already know about the shape or anything else you haven’t heard/knew about the shapes..
In case some of you might not be able to open the survey link, the pictures shown below my survey questions. You can answer those questions and send your answers to me through email.
The teacher will need:
Students will take this survey twice during this learning module, once in the beginning and once at the end in order to asses prior knowledge, as well as measure what they have learned by the end of the module in the form of a summative assessment.
Learning Intention: I can explore more about 2D shapes.
You might already learn or hear about 2-dimensional shapes, such as square, rectangle, and triangle. This update is for you to explore more about 2-dimensional shapes. You need to watch the video and read the information shown on the 2-dimension shapes.
BBC Bitesize Geometry // Shapes - 2D Shapes. (2016, September 21). BBC Bitesize Geometry // Shapes - 2D Shapes. Retrieved from YouTube website: https://youtu.be/OVItzLoovLc
[Article: https://www.mathsisfun.com/shape.html ]
After you watched the video and read the article, the first thing you need to do is to leave your comment to mention a stand-out idea or new thoughts prompted by the video and the information.
Second, you need to use @Name to speak with others about their thoughts.
Third, you need to pick three 2-dimensional shapes to explain the properties of the shapes and provide real-life examples of each shape in your update. Also, you need to use your own words to summarize what you learned and share your thoughts/ideas/opinions in your update.
Finally, you need to review at least two peers’ updates and leave feedback with no less than 50 words on each peer’s update.
Purpose: Students will be able to review their prior knowledge of 2-dimensional shapes and explore them deeper.
The Teacher will need:
Additional information:
Polygons--- https://www.mathsisfun.com/geometry/polygons.html
Properties of 2D shapes ---- https://byjus.com/maths/2d-shapes/
Concerns of 2D shapes --- https://byjus.com/maths/2d-shapes/
Learning Intention: I can interpret the differences between perimeter and area, and I can apply the formulas of perimeter and area to solve real-world problems.
The previous update already introduces the fundamental information of 2-dimensional shapes. This update focuses on the perimeters and areas of 2-dimensional shapes. Read the information presented on the website and watch the following videos to learn more about perimeters and areas of 2-dimensional shapes.
The Differences Between Perimeter and Area: https://www.diffen.com/difference/Area_vs_Perimeter
The Foundations of Perimeter and Area: https://www.khanacademy.org/math/geometry/hs-geo-foundations/hs-geo-area/v/perimeter-and-area-basics
Khan Academy, Perimeter and area: the basics. (2011, September 30). Perimeter and area: the basics | Perimeter, area, and volume | Geometry | Khan Academy. Retrieved from YouTube website: https://youtu.be/LoaBd-sPzkU
The Explanation of Perimeter and Area of Composed Shapes: https://www.khanacademy.org/math/geometry/hs-geo-foundations/hs-geo-area/v/perimeter-and-area-of-a-non-standard-polygon
Khan Academy, Perimeter and area of a non-standard polygon. (2011, November 10). Perimeter and area of a non-standard polygon | Perimeter, area, and volume | Geometry | Khan Academy. Retrieved from YouTube website: https://youtu.be/7S1MLJOG-5A
Challenge Problems of Perimeter and Area: https://www.khanacademy.org/math/geometry/hs-geo-foundations/hs-geo-area/v/interesting-perimeter-and-area-problems
Khan Academy, Interesting perimeter and area problems. (2011, September 30). Interesting perimeter and area problems | Perimeter, area, and volume | Geometry | Khan Academy. Retrieved from YouTube website: https://youtu.be/vWXMDIazHjA
In this update, you are going to leave your comment by using your own words to summarize what you learned and share your thoughts/ideas/opinions.
Second, you need to use @Name to speak with others about their thoughts.
Third, you are going to complete all practices about the perimeter and area, and each practice needs to reach at least 75%. Please make sure to sign-in before you start to work on the practices, and then you need to take a screenshot of all completed practices with the assignment titles and your username.
Finally, please send them to the teacher through email.
Khan Academy Practices:
Purpose: Students will be able to define the differences and apply the formulas of perimeter and area to solve real-world applications.
The Teacher will need:
Learning Intention: I can construct 2D shapes by Desmos.
As you see three images attached above in this update, you might realize what we are going to do. We are going to construct 2-dimensional shapes on Desmos. Before starting on construction, you need to explore this website in order to learn more about constructing a shape on Desmos: https://learn.desmos.com/graphing-polygons
Also, please make sure to watch this video to learn how to construct simple shapes with coordinate points:
Desmos. (2019). Learn Desmos Polygons [YouTube Video]. Retrieved from https://www.youtube.com/watch?v=x3rEQ-YiTrA
After exploring the website and watch the video, you are required to construct two different polygons on Desmos. The first thing is to construct three simple 2-dimensional shapes on Desmos, and the second thing is to construct one complicated 2-dimensional polygon on Desmos.
First, you are going to leave your comment to mention a stand-out idea or new thoughts prompted by exploring the approach of constructing the polygons on Desmos.
Second, you need to use @Name to speak with others about their thoughts.
Third, you are going to post your own update. In your update, you need to use your own words to summarize what you learned from constructing the polygons on Desmos and share your simple and complicated polygons by taking a screenshot on Desmos.
Finally, you need to review at least two peers’ updates and leave feedback with no less than 50 words on each peer’s update.
Purpose: Students will be able to construct 2D shapes by technological tools.
The Teacher will need:
Additional information:
Polygons on Desmos: https://www.desmos.com/calculator/d7bsqdaagw
More polygons examples on Desmos: https://www.desmos.com/calculator/bc5h79ju3w
Learning Intention: I can show what I have been learned and understood through those previous updates.
In this update, you will have a summative assessment that requires you to show detailed works on each problem. You can print out the assessment OR use your own paper to solve the problems. After you completed the assessment, please submit your assessment through email.
Purpose: Students will be able to assess their own learning and understanding of 2-dimensional shapes.
The Teacher will need:
Learning Intention: I can figure out and describe the differences between 2-dimensional and 3-dimensional shapes.
Math Songs by NUMBEROCK. (2015, September 17). 3D Shapes Song for Kids. Retrieved from YouTube website: https://youtu.be/uZ8Jy1xgqPU
3D shapes Explanation: https://www.mathsisfun.com/geometry/common-3d-shapes.html
In this update, you are going to learn the basic information of 3-dimensional shapes. The embedded video is an interesting song talking about 3-dimensional shapes. On the website of 3D shapes explanation, you need to click every shape to investigate the properties, the facts, and other useful notes.
The first thing you need to do is to leave your comment by using your own words to summarize what you learned and share your thoughts/ideas/opinions.
Secondly, you need to use @Name to speak with others about their thoughts.
Lastly, in your own update, you need to pick three 2-dimensional shapes and three 3-dimensional shapes to compare and contrast. For example, square and cube, triangle and triangular prism, circle and sphere, etc. Also, please don’t forget that you need to review at least two peers’ updates and leave feedback with no less than 50 words on each peer’s update.
Purpose: Students will be able to describe and outline the differences between 2-dimensional and 3-dimensional shapes throughout the introduction of 3-dimensional shapes.
The Teacher will need:
Additional information:
Different approaches to showing 3D shapes: https://www.helpingwithmath.com/by_subject/geometry/geo_shapes3D.htm
More details about 3D shapes: https://byjus.com/maths/three-dimensional-shapes/
Learning Intention: I can use the formulas of surface area and volume of the 3-dimensional shapes correctly to solve word problems.
In this update, you are going to develop your learning on the formulas of surface area and volume. The following links for you to read and learn, and each link contains many videos for you to watch if needed:
Khan Academy Surface Area Formula Explanation: https://www.khanacademy.org/math/basic-geo/basic-geo-volume-sa/basic-geometry-surface-area/a/surface-area-review
Khan Academy Volume Formula Explanation: https://www.khanacademy.org/math/basic-geo/basic-geo-volume-sa/volume-cones/a/volume-formulas-review
In this update, you are going to leave your comment by using your own words to summarize what you learned and share your thoughts/ideas/opinions.
Second, you need to use @Name to speak with others about their thoughts.
Third, you are going to complete all practices about the surface area and volume, and each practice needs to reach at least 75%. Please make sure to sign-in before you start to work on the practices, and then you need to take a screenshot of all completed practices with the assignment titles and your username. Finally, please send them to the teacher through email.
Khan Academy Practices:
Purpose: Students will be able to use the formulas of surface area and volume of the 3-dimensional shapes to solve real-world applications.
The Teacher will need:
Additional information:
Area, Perimeter, Surface area, Volume Explanations: https://www.thoughtco.com/surface-area-and-volume-2312247
Khan Academy: Volume for Rectangular Prism Review: https://www.khanacademy.org/math/basic-geo/basic-geo-volume-sa/volume-rect-prism/a/volume-of-rectangular-prisms-review
Learning Intention: I can construct 3D shapes by GeoGebra.
As you see three images attached above in this update, you might realize what we are going to do. We are going to construct 3-dimensional shapes on GeoGebra. Before starting on construction, you need to explore this website in order to learn more about constructing a shape on GeoGebra:https://www.geogebra.org/m/pCv2EvwD
Also, please make sure to watch this video to learn how to construct simple shapes on GeoGebra:
Brzezinski Math. (2019). Creating a Cube in GeoGebra 3D: Method 1 [YouTube Video]. Retrieved from https://www.youtube.com/watch?v=SaY_NXGVZDE
A complicated example of constructing a 3D shape on GeoGebra:
Matematike, S. (2017). Icosahedron in Geogebra [Tutorial] [YouTube Video]. Retrieved from https://www.youtube.com/watch?v=YE8lz1Sd52Q
After exploring the website and watch the video, you are required to construct two different polygons on GeoGebra. The first thing is to construct two simple 3-dimensional shapes on GeoGebra, and the second thing is to construct one complicated 3-dimensional polygon on GeoGebra.
This is the website for constructing 3-dimensional shapes on GeoGebra: https://www.geogebra.org/3d
First, you are going to leave your comment to mention a stand-out idea or new thoughts prompted by exploring the approach of constructing the polygons on Desmos.
Second, you need to use @Name to speak with others about their thoughts.
Third, you are going to post your own update. In your update, you need to use your own words to summarize what you learned from constructing the polygons on GeoGebra and share your simple and complicated polygons by taking a screenshot on GeoGebra.
Finally, you need to review at least two peers’ updates and leave feedback with no less than 50 words on each peer’s update.
Purpose: Students will be able to construct 3D shapes through an online platform.
The Teacher will need:
Additional information:
3D construction with the paper net: https://www.greatmathsteachingideas.com/wp-content/uploads/2012/03/Making-3D-Shapes.pdf
Learning Intention: I can show what I have been learned and understood through those previous updates of 3-dimensional shapes.
In this update, you will have a summative assessment that requires you to show detailed works on each problem. You can print out the assessment OR use your own paper to solve the problems. After you completed the assessment, please submit your assessment with detailed works through email.
Your assessment problems are on this website: https://www.cimt.org.uk/projects/mepres/book9/bk9i9/bk9_9i4.html
After you open this website, you will see some formulas and examples provided. You can go through all formulas and examples before starting to work on your assessment. Questions 1 to 14 are the assessment questions that require you to show works on paper. But, you can use the options “Check” and “Tell me” shown on the website to confirm your solutions.
Purpose: Students will be able to assess their own learning and understanding of 3-dimensional shapes.
The Teacher will need:
Learning Intention: I can describe what I learned and understood through these updates and determine which other areas I still need to improve.
Take this survey to check your learning and understanding of 2-dimensional and 3-dimensional shapes
In case some of you might not be able to open the survey link, the pictures shown below my survey questions. You can answer those questions and send your answers to me through email.
Purpose: Students will be able to express what they learned and understood through previous updates.
The Teacher will need:
Learning Intention: I can construct shapes and use them to illustrate my project.
Everyone needs to create a short video that will explain the ideas and concepts you have learned while studying the unit on the 2-dimensional and 3-dimensional shapes. As you proceed through the unit, you will be asked to complete sections of this project that relate to each new concept covered. You can add your notes to sections in the Structure Tool in Creator in Scholar. You can then elaborate on these to create your final video for submission.
Requirements:
1. The video must be more than 5 minutes in length (no maximum time limitation).
2. All concepts and scenes covered must be included.
3. You must spend at least 1 minute discussing the importance of 2-dimensional and 3-dimensional shapes.
Check your Notifications for a "Work Request". This will take you into Scholar where you can start your work. Look at the Rubric to see what is expected of you. Use the Structure Tool to create five sections for your work.
Start with Scene 1: Explain what, how, and where you found your materials (due to COVID-19 stay home learning situation) to construct your shapes, and also provide a short description of your imaginary shapes.
Scene 2: Demonstrate how you are going to use the materials to construct your shape, and please also show detailed guidelines and explanations while recording the video.
Scene 3: Describe how you will use it in your life.
Scene 4: Ask other people for their comments/reviews/opinions about your shape
Scene 5: Express your final thought of completing this project and your reflection of this project.
Rubrics:
Purpose: Students will be able to construct 3-dimensional shapes with supplies and illustrate the detailed progress of the project.
As part of the assessment for this Learning Module, students will create videos in which they explain each of the major concepts covered and then discuss the importance of knowing and understanding the 2-dimensional and 3-dimensional shapes. Every student should add to their project in Scholar as they progress through the Learning Module, even though they are creating one video together.
When setting up the project settings in Scholar, manually assign one reviewer so that you can ensure that students review the work of a person in another group - not their own.
Ensure that students look at the rubric so they have a clear understanding of the assessment criteria.
Project Rubric (extract from https://cgscholar.com/bookstore/web_works/probability?category_id=learning-by-design-modules-k12)
Learning Intention: To give feedback on other students’ works and then revise my own.
Check your Notifications for Feedback Requests: You have received a Feedback Request. Click on this link to take you to the work you have been assigned to review.
Go to Feedback => Reviews => Review Work. Rate the work on each criterion and explain why you gave the work that rating. Make in-text comments at Feedback => Annotations.
Submit your feedback once it is finished at About This Work => Project => Status. You will not be able to submit your review until you have completed the Review and Annotations.
For more information, see Reviewing a Work and Submitting a Review and Annotations.
Revision Phase
The next stage of the writing process is to revise your own work.
Check your Notifications for a Revision Request: You have received a Revision Request. Click on this link to take you to the most recent version of your work. Then go to Feedback => Reviews => Results to see the reviews and Feedback => Annotations to see in-text comments. Once you have incorporated all of the feedback (Reviews/Annotations) from your peers, click “Submit Revision” below the work.
You can also write a self-review, explaining how you have taken on board the feedback you received.
For more information, see The Revision Phase.
Comment: Do you have any questions about Scholar? Make a comment in this update. If you think you have an answer to another student's question, please answer it. Start with @Name.
This Update covers two phases of the writing process in Scholar - Review and Revision. Post it directly into a Community when students are up to this phase of their writing projects. They will also receive Notifications.
Refer to Analytics to monitor how students are progressing with their writing and their reviews
Articles
BYJU’S. (2020a). 2D Shapes- Names and Properties of Different Shapes. Retrieved from BYJUS website: https://byjus.com/maths/2d-shapes/
BYJU’S. (2020b). Three Dimensional Shapes (3D Shapes) - Definition & Properties. Retrieved from BYJUS website: https://byjus.com/maths/three-dimensional-shapes/
Desmos. (n.d.-a). Graphing Polygons. Retrieved from Learn Desmos website: https://learn.desmos.com/graphing-polygons
Desmos. (n.d.-b). Learn: Polygons. Retrieved from Desmos website: https://www.desmos.com/calculator/d7bsqdaagw
Desmos. (n.d.-c). Shape Bucket. Retrieved from Desmos website: https://www.desmos.com/calculator/bc5h79ju3w
Diffen. (n.d.). Area vs Perimeter - Difference and Comparison | Diffen. Retrieved from www.diffen.com website: https://www.diffen.com/difference/Area_vs_Perimeter
Great Maths Teaching Ideas. (2010). M A K I N G S H A P E S 3 D. Retrieved from https://www.greatmathsteachingideas.com/wp-content/uploads/2012/03/Making-3D-Shapes.pdf
HelpingWithMath. (2019). 10 Common 3D Geometric Shapes Clearly Illustrated and Explained. Retrieved from www.helpingwithmath.com website: https://www.helpingwithmath.com/by_subject/geometry/geo_shapes3D.htm
https://www.facebook.com/thoughtcodotcom. (2018). Surface Area and Volume Formulas for Geometric Shapes. Retrieved from ThoughtCo website: https://www.thoughtco.com/surface-area-and-volume-2312247
Interactive Tutorials. (n.d.). Unit 9 Section 4 : Surface Area and Volume of 3-D Shapes. Retrieved from www.cimt.org.uk website: https://www.cimt.org.uk/projects/mepres/book9/bk9i9/bk9_9i4.html
Khan Academy. (2020a). Area and perimeter situations (practice). Retrieved from Khan Academy website: https://www.khanacademy.org/math/basic-geo/basic-geo-area-and-perimeter/basic-geo-perimeter/e/area-and-perimeter-scenarios
Khan Academy. (2020b). Area and perimeter word problems (practice). Retrieved from Khan Academy website: https://www.khanacademy.org/math/basic-geo/basic-geo-area-and-perimeter/basic-geo-perimeter/e/area-perimeter-word-problems
Khan Academy. (2020c). Area of composite shapes (practice) | Area. Retrieved from Khan Academy website: https://www.khanacademy.org/math/geometry/hs-geo-foundations/hs-geo-area/e/area-of-quadrilaterals-and-polygons
Khan Academy. (2020d). Challenge problems: perimeter & area (video). Retrieved from Khan Academy website: https://www.khanacademy.org/math/geometry/hs-geo-foundations/hs-geo-area/v/interesting-perimeter-and-area-problems.
Khan Academy. (2020e). Perimeter & area of composite shapes (video). Retrieved from Khan Academy website: https://www.khanacademy.org/math/geometry/hs-geo-foundations/hs-geo-area/v/perimeter-and-area-of-a-non-standard-polygon
Khan Academy. (2020f). Perimeter & area (video) | Area. Retrieved from Khan Academy website: https://www.khanacademy.org/math/geometry/hs-geo-foundations/hs-geo-area/v/perimeter-and-area-basics
Khan Academy. (2020g). Surface area review (article) | Surface area. Retrieved from Khan Academy website: https://www.khanacademy.org/math/basic-geo/basic-geo-volume-sa/basic-geometry-surface-area/a/surface-area-review
Khan Academy. (2020h). Surface Area Word Problems | Basic geometry | Math. Retrieved from Khan Academy website: https://www.khanacademy.org/math/basic-geo/basic-geo-volume-sa/basic-geometry-surface-area/e/surface-area-word-problems?modal=1
Khan Academy. (2020i). Volume and surface area | Basic geometry | Math. Retrieved from Khan Academy website: https://www.khanacademy.org/math/basic-geo/basic-geo-volume-sa/basic-geometry-surface-area/e/surface-areas?modal=1
Khan Academy. (2020j). Volume and surface area word problems | Basic geometry | Math. Retrieved from Khan Academy website: https://www.khanacademy.org/math/basic-geo/basic-geo-volume-sa/basic-geometry-surface-area/e/volume-and-surface-area-word-problems?modal=1
Khan Academy. (2020k). Volume of Cones, Spheres, Cylinders Word Problems | Basic geometry | Math. Retrieved from Khan Academy website: https://www.khanacademy.org/math/basic-geo/basic-geo-volume-sa/volume-cones/e/volume-of-cylinders--spheres--and-cones-word-problems?modal=1
Khan Academy. (2020l). Volume of rectangular prisms review (article). Retrieved from Khan Academy website: https://www.khanacademy.org/math/basic-geo/basic-geo-volume-sa/volume-rect-prism/a/volume-of-rectangular-prisms-review
Khan Academy. (2020m). Volume Word Problems in Fractions and Decimals | Basic geometry | Math. Retrieved from Khan Academy website: https://www.khanacademy.org/math/basic-geo/basic-geo-volume-sa/volume-with-fractions/e/volume-word-problems-with-fractions?modal=1
MathsisFun. (2016). Common 3D Shapes. Retrieved from www.mathsisfun.com website: https://www.mathsisfun.com/geometry/common-3d-shapes.html
MathsIsFun. (2016). Polygons. Retrieved from www.mathsisfun.com website: https://www.mathsisfun.com/geometry/polygons.html
MathsIsFun. (2018). 2D Shapes - Polygons and More. Retrieved from Mathsisfun.com website: https://www.mathsisfun.com/shape.html
Perimeter and Area. (2019). Retrieved from Montereyinstitute.org website: https://www.montereyinstitute.org/courses/DevelopmentalMath/COURSE_TEXT2_RESOURCE/U07_L2_T2_text_final.html
toppr. (2019, July 12). Toppr-guides. Retrieved from Toppr-guides website: https://www.toppr.com/guides/maths/visualising-solid-shapes/2d-and-3d-figures/
u/lbooby. (n.d.). Nets of solids (3-D shapes). Retrieved from GeoGebra website: https://www.geogebra.org/m/pCv2EvwD
Volume formulas review. (2017). Volume formulas review. Retrieved from Khan Academy website: https://www.khanacademy.org/math/basic-geo/basic-geo-volume-sa/volume-cones/a/volume-formulas-review
Images
Brittain, P. (2019). GeoGebra. In Common Sense Media. Retrieved from https://www.commonsense.org/education/website/geogebra
Brzezinski Math. (2019). Creating a Cube in GeoGebra 3D: Method 1. Retrieved from https://www.youtube.com/watch?v=SaY_NXGVZDE
Desmos. (2020). Inequalities. Retrieved from https://support.desmos.com/hc/en-us/articles/202528989-Inequalities
lass Playground. (2020). Printable Illustrated Perimeter Area Definition Poster. Retrieved from https://classplayground.com/printable-illustrated-perimeter-area-definition-poster/
Matematike, S. (2017). Icosahedron in Geogebra [Tutorial]. Retrieved from https://www.youtube.com/watch?v=YE8lz1Sd52Q
Stagno Stagno, F. (n.d.). (8) MAT - Surface Area & Volume. Retrieved from https://www.tes.com/lessons/q598n3uXqPeYtw/8-mat-surface-area-volume
The Storeroom Blog. (2016). Love is in the air! Retrieved from http://storeroom.norledgemaths.com/blog/love-is-in-the-air
TheSchoolRun. (2020). What are the names of 2D and 3D shapes? Retrieved from https://www.theschoolrun.com/what-are-the-names-of-2d-and-3d-shapes
u/BananaJoe_1910. (2018). I made Kirby with math on the Desmos graphing calculator. 31 equations. Retrieved from https://www.reddit.com/r/casualnintendo/comments/7rcp0r/i_made_kirby_with_math_on_the_desmos_graphing/
Mendelsohn, A. (2020). The Video Interaction Project. Retrieved from https://www.videointeractionproject.org/
Videos
BBC Bitesize Geometry // Shapes - 2D Shapes. (2016, September 21). BBC Bitesize Geometry // Shapes - 2D Shapes. Retrieved from YouTube website: https://youtu.be/OVItzLoovLc
Brzezinski Math. (2019). Creating a Cube in GeoGebra 3D: Method 1 [YouTube Video]. Retrieved from https://www.youtube.com/watch?v=SaY_NXGVZDE
Desmos. (2019). Learn Desmos Polygons [YouTube Video]. Retrieved from https://www.youtube.com/watch?v=x3rEQ-YiTrA
Khan Academy, Interesting perimeter and area problems. (2011, September 30). Interesting perimeter and area problems | Perimeter, area, and volume | Geometry | Khan Academy. Retrieved from YouTube website: https://youtu.be/vWXMDIazHjA
Khan Academy, Perimeter and area of a non-standard polygon. (2011, November 10). Perimeter and area of a non-standard polygon | Perimeter, area, and volume | Geometry | Khan Academy. Retrieved from YouTube website: https://youtu.be/7S1MLJOG-5A
Khan Academy, Perimeter and area: the basics. (2011, September 30). Perimeter and area: the basics | Perimeter, area, and volume | Geometry | Khan Academy. Retrieved from YouTube website: https://youtu.be/LoaBd-sPzkU
Matematike, S. (2017). Icosahedron in Geogebra [Tutorial] [YouTube Video]. Retrieved from https://www.youtube.com/watch?v=YE8lz1Sd52Q
Math Songs by NUMBEROCK. (2015, September 17). 3D Shapes Song for Kids. Retrieved from YouTube website: https://youtu.be/uZ8Jy1xgqPU