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FINDING SURFACE AREA AND VOLUME OF 3D SHAPES USING AI
By Linda Fortune
Identifying different type of 2D & 3D object
This Photo by Unknown Author is licensed under CC BY
ROADMAP OF LEARNING ABOUT SURFACE AREA AND VOLUME
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LECTURE: SURFACE AREA AND VOLUME
INTRO: TO AREA
Summary
Identify the difference between two dimensional and three-dimensional figure
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Important Resourse
Tinker CAD
Computer
Worksheet
Calculators
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Essential Questions
Can we use AI TinkerCAD to build a house given the dimensions of material.
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Standard MGSE6.G.4 and MGSE6.G.2
Represent three-dimensional figures using nets made up of rectangles and triangles and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.
Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths (1/2 u) and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = (length) x (width) x (height) and V= (area of base) x (height) to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.
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Surface Area And Volume Information
LET’S GET STARTED
Main Ideas
How is AI use to assist calculation and problem solving
Add a main point
Identify the difference between 2D and 3D object and naming the different types.
Surface Area and how it can help us in our daily life or real life
Rectangular and triangular prism and providing examples from real life
The importance of understanding surface area and volume in various field
INTRO
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Start up Sheet
Direction: Find the area of the rectangle?
Round your answer to the nearest tenth.
Show all work.
Write the formula and the dimensions
Length(L) = ___________
Width (w) = ____________
Area (A) = _____________
Formula = length ✖️ width (lw)
= 4ins ✖️ 1.25 ins
= 3.75 square ins (ins2)
Round to the nearest tenth is 3.8 square ins (3.75ins2)
3ins
1.25 ins
3ins
1.25ins
1.25
✖️ 3__
3.75
3.75 square ins
Words and Formulas
to Discuss…
Area of rectangle = length * Width (lw)
which is also known as Base and height
Words and Formulas
to Discuss…
Words and Formulas to Discuss…
Area is the amount of space inside a 2D shape, Area is measure in square units
Surface Area is the total area of the surface of an object, understanding it can help us figure out how much paint we need, start a business and even go camping.
It’s also adding up the area of the faces of an object
A Rectangular Prism is a 3D shape that has six faces that are all rectangle
Cube a special rectangular prism that has six faces that are all the same.
Surface Area Game
Words and Formulas to Discuss…
Volume measure the amount of space inside a 3D object. It is measure in cubic units
Volume of a rectangle prism is
Area of base * height
V = lwh
Constructing our house: TinkerCAD Machines!
LET’S REVIEW WHAT WE HAVE LEARNED TODAY!
WHY IS THIS IMPORTANT?
REAL WORLD CONNECTIONS
PROGRAM YOUR MACHINE
WORK TIME!
LEARN HOW TO USE
TinkerCAD
LET’S GET SET UP FOR YOUR CONSTRUCTION
CONCEPTUAL THINKING
Step 1
Materials Needed:
3. AI TinkCAD
4. Calculator
RETURN
To Lab Page
Step 1
Let get started
Go to TinkCAD.com
Step 4: Why is AI important in Math
When it comes to surface area and volume, AI can assist in many ways. AI can enhance mathematical modeling and Stimulations, enabling mathematicians to explore and analyze complex geometries. This can be especially beneficial in scientific research, engineering, architecture, and other fields where precise measurement of surface area and volume are essential.
AI’s ability to handle large-scale data analysis and complex mathematical operation makes it a valuable tool for surface area and volume calculations. It can process extensive datasets, handle intricate geometries, and provide accurate solutions efficiently expanding our capabilities in mathematical analysis and optimizations.
Step 5: Let’s review what we Learned
Exit Ticket
Exit Ticket Show all working.
Level 1
Find the surface area of a rectangular prism with length 5 m, width 5 m, and height 2 m.
Level. 2
Find the surface area of a triangular prism that has height 3 cm and triangles with side lengths 6 cm, 8 cm, and 10 cm. The base of each triangle is 6 cm, and the height is 8 cm.
Level. 3
What is the volume of a rectangular prism with height 5.6 cm, width 3.5 cm and length 7.45 cm. Round to the nearest tenth.
CRITICAL THINKING!�WHAT ELSE COULD YOU
USE AI IN MATH TO
BENEFIT HUMANS ?