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A Look Into 4th Grade
          Geometry

     By: Bev Netusil
Revised by: Michelle New
What’s In This Unit?
✴ Name and create shapes
✴ Label parts of shapes
✴ Name triangles
✴ Understand 3-Dimensional objects
✴ Using polygons to create 3-D objects
✴ Name and create 3-D objects
Geometry Topics
✴ Shapes
 ✴ Triangles
 ✴ Squares
 ✴ Rectangles
 ✴ Circles
Geometry Topics

✴ Polygons
 ✴ Triangles
 ✴ Quadrilaterals
 ✴ Pentagon
 ✴ Hexagon
Geometry Topics

✴ 3-Dimensional Shapes
Tell Me What You Know
•   Make a list of anything and everything
    you know about any of these topics! You
    have 5 minutes...GO!


•   When we’re done, I am going to take our
    answers and create a “wordle” about
    geometry!
Let’s Get Started!!
*Shapes*
✴ Triangles
 ✴ Vertex/Vertices- points of the
   triangle. A triangle will always have 3.
 ✴ Legs or Sides- lines that connect the
   vertices. There are always 3 sides to a
   triangle.
 ✴ Base- bottom of the triangle.
 ✴ Angles- these help determine which
   type of triangle it is: equilateral,
   isosceles, or scalene.
Classifying Triangles
                 I am an equilateral
              triangle. All 3 of my sides
                are equal. I am also an
               acute triangle because all
              my angles are less than 90
                       degrees.
Classifying Triangles

                I am an isosceles
              triangle because two
               of my sides are the
                     same.
Classifying Triangles

                I am a scalene
              triangle because
              none of my sides
               are the same.
Classifying Triangles

          I am a right triangle. I
            have one 90 degree
                  angle.
Classifying Triangles
          I am an obtuse triangle
             because one of my
           angles is greater than
               90 degrees.
Classifying Triangles
             I am an acute triangle
            because all of my angles
                are less than 90
                   degrees.
Squares & Rectangles


      I am a square. I      Always remember that shapes and
     have 4 sides that          rectangles are different!!

        are all equal!




      I am a rectangle. I
        have 4 sides but
     have 2 sets of equal
             sides!
Circles
✴ Center- in the center of the circle.
  The distance from this point to any
  other point on the circle is the same.
✴ Radius- distance from the center to
  any other point on the circumference.
Circles
✴ Diameter- distance from one side of
  the circle to the other. It has to pass
  through the center and it is t wice the
  radius.
✴ Circumference- distance around the
  circle
Have fun with shapes!!

✴Check out this link for a
 fun game using shapes!
Shape Reflection
✴ Write a reflection on what you have
  just learned about shapes for 3
  minutes.
✴ Turn to your partner and share.
*Polygons*
✴ A polygon is:
 ✴ a plane shape (2 dimensional) with straight
   sides that MUST connect.
 ✴ In a simple or regular polygon, none of the sides
   overlap.
 ✴ In a complex or irregular polygon, the sides
   overlap.
 ✴ NOTE: a circle is NOT a polygon because it has a
  curved side.
Naming Regular Polygons

                        4 sides
3 sides                    =
                      Quadrilateral
    =
Triangle


            5 sides              6 sides
               =                    =
           Pentagon             Hexagon
Naming Regular Polygons

 7 sides              8 sides
    =                    =
Heptagon              Octagon



            9 sides             10 sides
               =                   =
           Nonogon              Decagon
Irregular Polygons



                                                 WHY?
If you can answer yes to this question, it is a irregular polygon:

                 Do their lines cross?
Polygons Q&A Session
Ask yourself the following questions if you are having trouble.



✴ Is it on a plane? Or is it 2-dimensional?
    (If you look at it, is it flat?)



            YES                             NO
Polygons Q&A Session
Ask yourself the following questions if you are having trouble.



    ✴ Do all of the sides connect?
      (Are there no holes in the shape?)


         YES                          NO
Polygons Q&A Session
   Ask yourself the following questions if you are having trouble.



✴ Do they have 3 or more sides?




         YES                                                 NO
                                 YES
Polygon Fun!
✴Polygon Playground is a
 great place to have fun
 and use what you learned
 about polygons!
Polygon Reflection
✴ Write a reflection on what you have
  just learned about polygons for 3
  minutes.
✴ Turn to your partner and share.
*3-Dimensional Objects*
✴3-Dimensional or “3D” objects have 3
  dimensions.
✴3-dimensions mean that they have
  depth.
✴3D objects have a length, width, and
  depth. (2D has only a length and width)
*3-Dimensional Objects*
✴A box is an example of a 3D object. It has a
  length, width, and a depth.
Naming 3-Dimensional Objects
✴ Sphere -> perfectly round ball


✴ Cube -> has 6 square sides


✴ Rectangular Prism -> has 6 rectangular
  sides
3-Dimensional Object Match
          Draw a line from the word to its matching object



  Sphere

  Cone

   Cube

Square Pyramid
3D Objects: Prisms
✴ Prisms are polyhedrons with 2 congruent and
  parallel faces.
✴ If you take t wo of the same polygons and connect
  them so that they are parallel, you will get a
  prism.
3D Objects: Prisms
✴ Prisms are named for the shape of their base.
✴ Use the names of the polygons learned earlier to
  help name the prisms.
✴ ‘ar or ‘ l are added to the end of the polygon name
         a
                   My base is a
                  triangle so my
                     name is:
                 Triangular Prism
                                         My base is a
                                        pentagon so my
                                           name is:
                                       Pentagonal Prism
Fun with 3D Shapes!

✴Buried 3D Treasure Game
✴3D Shapes
✴3D Shape Match
3D Reflection
✴ Write a reflection on what you have
  just learned about 3D objects for 3
  minutes.
✴ Turn to your partner and share.
Geometry Activities
             (SHAPES)
✴ Have students draw and label shapes.
✴ Cut out shapes in different colored
  paper and let the students make shape
  creatures!
✴ Use the shape cut outs or manipulatives
  to create a shape puzzle.
✴ Online games or smartboard games
Geometry Activities
             (POLYGONS)
✴ Students can cut out different polygons
  out of construction paper and glue them
  to string or yarn to make necklaces.
✴ Challenge the students to create an
  animal or some type of object using just
  the polygon cut outs.
✴ Online games or smartboard games
Geometry Activities
            (3D OBJECTS)

✴ Students can create the nets for the 3D
  objects and then build their own 3D
  objects.
✴ Create a 3D shape town!
✴ Online games or smartboard games
Extra Help!
✴ These books can           ✴ These websites can
  help with the unit          help with this unit!
  on geometry in                      http://www.korthalsaltes.com/

  your classroom!                  http://www.aaamath.com/g4_318x2.htm


                                   http://www.aaamath.com/g4_318x1.htm


                                 http://www.freemathhelp.com/geometry.html


                       http://www.education.com/activity/fourth-grade/geometry/


                                     http://mrsrenz.net/mathsites.htm#geom
iPads!
✴ Geometry 4 Kids is a great tool to use
  in the classroom for independent
  practice or even as an assessment.
Ticket Out The Door

✴ In your own words, give the definition
  of at least 3 terms discussed in this
  lesson.

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4th grade geometry revised

  • 1. A Look Into 4th Grade Geometry By: Bev Netusil Revised by: Michelle New
  • 2. What’s In This Unit? ✴ Name and create shapes ✴ Label parts of shapes ✴ Name triangles ✴ Understand 3-Dimensional objects ✴ Using polygons to create 3-D objects ✴ Name and create 3-D objects
  • 3. Geometry Topics ✴ Shapes ✴ Triangles ✴ Squares ✴ Rectangles ✴ Circles
  • 4. Geometry Topics ✴ Polygons ✴ Triangles ✴ Quadrilaterals ✴ Pentagon ✴ Hexagon
  • 6. Tell Me What You Know • Make a list of anything and everything you know about any of these topics! You have 5 minutes...GO! • When we’re done, I am going to take our answers and create a “wordle” about geometry!
  • 8. *Shapes* ✴ Triangles ✴ Vertex/Vertices- points of the triangle. A triangle will always have 3. ✴ Legs or Sides- lines that connect the vertices. There are always 3 sides to a triangle. ✴ Base- bottom of the triangle. ✴ Angles- these help determine which type of triangle it is: equilateral, isosceles, or scalene.
  • 9. Classifying Triangles I am an equilateral triangle. All 3 of my sides are equal. I am also an acute triangle because all my angles are less than 90 degrees.
  • 10. Classifying Triangles I am an isosceles triangle because two of my sides are the same.
  • 11. Classifying Triangles I am a scalene triangle because none of my sides are the same.
  • 12. Classifying Triangles I am a right triangle. I have one 90 degree angle.
  • 13. Classifying Triangles I am an obtuse triangle because one of my angles is greater than 90 degrees.
  • 14. Classifying Triangles I am an acute triangle because all of my angles are less than 90 degrees.
  • 15. Squares & Rectangles I am a square. I Always remember that shapes and have 4 sides that rectangles are different!! are all equal! I am a rectangle. I have 4 sides but have 2 sets of equal sides!
  • 16. Circles ✴ Center- in the center of the circle. The distance from this point to any other point on the circle is the same. ✴ Radius- distance from the center to any other point on the circumference.
  • 17. Circles ✴ Diameter- distance from one side of the circle to the other. It has to pass through the center and it is t wice the radius. ✴ Circumference- distance around the circle
  • 18. Have fun with shapes!! ✴Check out this link for a fun game using shapes!
  • 19. Shape Reflection ✴ Write a reflection on what you have just learned about shapes for 3 minutes. ✴ Turn to your partner and share.
  • 20. *Polygons* ✴ A polygon is: ✴ a plane shape (2 dimensional) with straight sides that MUST connect. ✴ In a simple or regular polygon, none of the sides overlap. ✴ In a complex or irregular polygon, the sides overlap. ✴ NOTE: a circle is NOT a polygon because it has a curved side.
  • 21. Naming Regular Polygons 4 sides 3 sides = Quadrilateral = Triangle 5 sides 6 sides = = Pentagon Hexagon
  • 22. Naming Regular Polygons 7 sides 8 sides = = Heptagon Octagon 9 sides 10 sides = = Nonogon Decagon
  • 23. Irregular Polygons WHY? If you can answer yes to this question, it is a irregular polygon: Do their lines cross?
  • 24. Polygons Q&A Session Ask yourself the following questions if you are having trouble. ✴ Is it on a plane? Or is it 2-dimensional? (If you look at it, is it flat?) YES NO
  • 25. Polygons Q&A Session Ask yourself the following questions if you are having trouble. ✴ Do all of the sides connect? (Are there no holes in the shape?) YES NO
  • 26. Polygons Q&A Session Ask yourself the following questions if you are having trouble. ✴ Do they have 3 or more sides? YES NO YES
  • 27. Polygon Fun! ✴Polygon Playground is a great place to have fun and use what you learned about polygons!
  • 28. Polygon Reflection ✴ Write a reflection on what you have just learned about polygons for 3 minutes. ✴ Turn to your partner and share.
  • 29. *3-Dimensional Objects* ✴3-Dimensional or “3D” objects have 3 dimensions. ✴3-dimensions mean that they have depth. ✴3D objects have a length, width, and depth. (2D has only a length and width)
  • 30. *3-Dimensional Objects* ✴A box is an example of a 3D object. It has a length, width, and a depth.
  • 31. Naming 3-Dimensional Objects ✴ Sphere -> perfectly round ball ✴ Cube -> has 6 square sides ✴ Rectangular Prism -> has 6 rectangular sides
  • 32. 3-Dimensional Object Match Draw a line from the word to its matching object Sphere Cone Cube Square Pyramid
  • 33. 3D Objects: Prisms ✴ Prisms are polyhedrons with 2 congruent and parallel faces. ✴ If you take t wo of the same polygons and connect them so that they are parallel, you will get a prism.
  • 34. 3D Objects: Prisms ✴ Prisms are named for the shape of their base. ✴ Use the names of the polygons learned earlier to help name the prisms. ✴ ‘ar or ‘ l are added to the end of the polygon name a My base is a triangle so my name is: Triangular Prism My base is a pentagon so my name is: Pentagonal Prism
  • 35. Fun with 3D Shapes! ✴Buried 3D Treasure Game ✴3D Shapes ✴3D Shape Match
  • 36. 3D Reflection ✴ Write a reflection on what you have just learned about 3D objects for 3 minutes. ✴ Turn to your partner and share.
  • 37. Geometry Activities (SHAPES) ✴ Have students draw and label shapes. ✴ Cut out shapes in different colored paper and let the students make shape creatures! ✴ Use the shape cut outs or manipulatives to create a shape puzzle. ✴ Online games or smartboard games
  • 38. Geometry Activities (POLYGONS) ✴ Students can cut out different polygons out of construction paper and glue them to string or yarn to make necklaces. ✴ Challenge the students to create an animal or some type of object using just the polygon cut outs. ✴ Online games or smartboard games
  • 39. Geometry Activities (3D OBJECTS) ✴ Students can create the nets for the 3D objects and then build their own 3D objects. ✴ Create a 3D shape town! ✴ Online games or smartboard games
  • 40. Extra Help! ✴ These books can ✴ These websites can help with the unit help with this unit! on geometry in http://www.korthalsaltes.com/ your classroom! http://www.aaamath.com/g4_318x2.htm http://www.aaamath.com/g4_318x1.htm http://www.freemathhelp.com/geometry.html http://www.education.com/activity/fourth-grade/geometry/ http://mrsrenz.net/mathsites.htm#geom
  • 41. iPads! ✴ Geometry 4 Kids is a great tool to use in the classroom for independent practice or even as an assessment.
  • 42. Ticket Out The Door ✴ In your own words, give the definition of at least 3 terms discussed in this lesson.