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Kurt Shin
Introduction to Geometry
Shape Details
(Geometry Grades 7-8)
Objectives & CA
Content Standards
• To familiarize yourself with unique
details about each shape.
• Solve real-world and
mathematical problems
involving area, surface area,
and volume of two- and three-
dimensional objects composed
of triangles, quadrilaterals,
polygons, cubes, and right
prisms.
Why is Geometry Important?
• Geometry is the foundation for building or creating anything including
art and buildings.
• Understanding Geometry can help you improve building any kind of
structure, even in games like Fortnite or Minecraft.
What is a Square?
• Definition: A regular
quadrilateral, has 4 equal sides
and 4 equal angles.
• How to find the area: Take the
length of a side and square it
• How to find the perimeter: Add
all sides of the square.
Squares in Everyday Life
What is a Circle?
• Definition: Shape consisting of all points in a plane that
are given distance from a given point, the center.
• How to find the area: Multiply pi by r squared
• How to find the perimeter: Multiply 2 by pi and by r
Circles in Everyday Life
Now you try!
What is a characteristic of a
square?
a) Has 4 sides
b) All sides are the same
c) All angles are right angles
d) All of the above
Now you try!
How do you find the area of a
circle?
a) Pi x diameter squared
b) Pi x radius
c) Pi x radius squared
d) Pi x diameter
What is a Triangle?
• Definition: Polygon with three
edges and three vertices.
• How to find the area: ½ base x
height.
• How to find the perimeter: Add
all 3 sides of the triangle.
Triangles in Everyday Life
What is a Rectangle
• Definition: Quadrilateral with four
right angles. (Fun Fact: Squares are
technically Rectangles)
• How to find the area: Multiply Length x
Width
• How to find the Perimeter: Add the
length of all the sides together
Rectangles in Everyday Life
What is a Parallelogram?
• Definition: Simple quadrilateral with two
pairs of parallel sides. The opposite sides of
a parallelogram are of equal length and the
opposite angles are of equal measure
• How to find the area: Multiply base x
height
• How to find the perimeter: Add all the
sides together.
Parallelograms in Everyday Life
Now you try!
How do you find the area of a
triangle?
a) Base x height
b) ½ base x height
c) Add all 3 sides
d) 2 x base x height
Now you try!
What is a fun fact about rectangles?
a) Squares are rectangles
b) Rectangles can have 5 sides
c) Not all rectangles have right
angles
d) None of the above
Chart of Shapes
and their
Properties
Educational Video
• Finding the perimeter of shapes is usually the easier part of measuring a
shape.
• However, finding the area can get confusing. Here are some educational
videos on how to find the area of the shapes we have learned so far.
• https://www.youtube.com/watch?v=xCdxURXMdFY&ab_channel=math
antics
• https://www.youtube.com/watch?v=O-
cawByg2aA&ab_channel=mathantics
Culminating Questions
What is the Area of the following Triangle?
a) 15 in.
b) 25 in.
c) 23 in.
d) 21 in.
Culminating Questions
What is the Perimeter of the following Circle?
(Round to the nearest tenth)
a) 42.46
b) 29.34
c) 31.42
d) 35.79

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Edsc 304 geometry presentation

  • 1. Kurt Shin Introduction to Geometry Shape Details (Geometry Grades 7-8)
  • 2. Objectives & CA Content Standards • To familiarize yourself with unique details about each shape. • Solve real-world and mathematical problems involving area, surface area, and volume of two- and three- dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
  • 3. Why is Geometry Important? • Geometry is the foundation for building or creating anything including art and buildings. • Understanding Geometry can help you improve building any kind of structure, even in games like Fortnite or Minecraft.
  • 4. What is a Square? • Definition: A regular quadrilateral, has 4 equal sides and 4 equal angles. • How to find the area: Take the length of a side and square it • How to find the perimeter: Add all sides of the square.
  • 6. What is a Circle? • Definition: Shape consisting of all points in a plane that are given distance from a given point, the center. • How to find the area: Multiply pi by r squared • How to find the perimeter: Multiply 2 by pi and by r
  • 8. Now you try! What is a characteristic of a square? a) Has 4 sides b) All sides are the same c) All angles are right angles d) All of the above
  • 9. Now you try! How do you find the area of a circle? a) Pi x diameter squared b) Pi x radius c) Pi x radius squared d) Pi x diameter
  • 10. What is a Triangle? • Definition: Polygon with three edges and three vertices. • How to find the area: ½ base x height. • How to find the perimeter: Add all 3 sides of the triangle.
  • 12. What is a Rectangle • Definition: Quadrilateral with four right angles. (Fun Fact: Squares are technically Rectangles) • How to find the area: Multiply Length x Width • How to find the Perimeter: Add the length of all the sides together
  • 14. What is a Parallelogram? • Definition: Simple quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are of equal length and the opposite angles are of equal measure • How to find the area: Multiply base x height • How to find the perimeter: Add all the sides together.
  • 16. Now you try! How do you find the area of a triangle? a) Base x height b) ½ base x height c) Add all 3 sides d) 2 x base x height
  • 17. Now you try! What is a fun fact about rectangles? a) Squares are rectangles b) Rectangles can have 5 sides c) Not all rectangles have right angles d) None of the above
  • 18. Chart of Shapes and their Properties
  • 19. Educational Video • Finding the perimeter of shapes is usually the easier part of measuring a shape. • However, finding the area can get confusing. Here are some educational videos on how to find the area of the shapes we have learned so far. • https://www.youtube.com/watch?v=xCdxURXMdFY&ab_channel=math antics • https://www.youtube.com/watch?v=O- cawByg2aA&ab_channel=mathantics
  • 20. Culminating Questions What is the Area of the following Triangle? a) 15 in. b) 25 in. c) 23 in. d) 21 in.
  • 21. Culminating Questions What is the Perimeter of the following Circle? (Round to the nearest tenth) a) 42.46 b) 29.34 c) 31.42 d) 35.79