3-D Geometry
Expectations
1) compare and
sort three-dimensional figures;
2) identify and construct nets of prisms and pyramids;
Specific
-identify prisms and pyramids from their nets;
-construct nets of prisms and pyramids,
using a variety of tools
- distinguish prisms, right prisms, and pyramids and other 3-d figures
Grade 6
Overall
-sketch three-dimensional figures, and construct three-dimensional figures from drawings
-build three-dimensional models using
connecting cubes, given isometric sketches
or different views (i.e., top, side, front) of
the structure
Specific
-sketch, using a variety of tools (e.g., isometric
dot paper, dynamic geometry software),
isometric perspectives and different views
(i.e., top, side, front) of three-dimensional
figures built with interlocking cubes.
What is a 3-D Shape Brainstorm
Geometric Buildings
Is a cone a pyramid?
You are correct. You can find definitions in our glossary.
- the surface or solid formed by rays emanating from a fixed point (vertex) passing through a closed planar curve called the base.
- common usage, the word cone refers to a right circular cone, which is a cone whose base is a circle and whose vertex is directly above or below the center of the circle.
Prism vs. Pyramids Properties the come up with a pattern
3d Shape Classroom Hunt
On your white board write down as many different 3 shapes as you can they you see around the class
Identifyfing 3 d Shapes game
Homework- 3D Geometry Review
Pick 1 Prism and 1 Pyramid
1)Draw the net of each shape
2) Sketch each shape
3) Explain the difference between a prism and a pyramid
I have 6 rectangular faces. 12 edges and 3 different sets of congruent faces
Make up a song describing your 3D Shape
- shapes of faces
-parallel line
-edges
- vertices
- angles
Buildings
Share the book Shapes Around the World. Have students look at pictures of the following buildings/structures:
- The Beijing National Stadium.
- The Chrysler Building.
- The Eiffel Tower.
- The Great Pyramid of Giza.
- The Guggenheim Museum.
- The Leaning Tower of Pisa.
- Neuschwanstein Castle.
- Notre Dame de Paris.
- The Parthenon.
- Saint Peter’s Basilica.
- The Sydney Opera House.
- The Taj Mahal.
- The Tower of London.
Have students circle and write the names of shapes they find in the buildings.
Pattern in Chart
Using this pattern the students could easily tell how many faces, vertices, and edges a prism had, as long as they know how many sides the base has (e.g.: the base of an octogonal prism has 8 sides, so it has (8 + 2) 10 faces, (8 x 2) 16 vertices, and (8 x 3) 24 edges).
We then, together, put up a chart of pyramids. For homework the students were asked to find patterns for the faces, vertices, and edges of pyramids.
Questions
Is a square a rectangle?
Is a cone a pyramid?
Is a cylinder a prism?
Do rounded faces count as faces?
Do rounded edged count as edges?
Nets
Net- Centres
MODELS
Different Views Game
Activation
Minds On: Make this 3D Shape
Activation
Isometric Drawing App
Measurement-Grade 6 (surface area and volume to triangular prism, meaurement conversion)
1)Determine through investigation the relationship between the height, the area of the base, and the volume of a triangular prism to develop a formula (create triangular prisms by splitting rectangular prisms in half) .
2)Determine through investigation the surface area of rectangular and triangular prisms.
solve problems using estimation and calculation of surface area and volume of triangular and rectangular prisms
3) Area of parallelogram and area of a triangle
4) Estimate measure, and record mass, capacity and volume.
5) Solve problems requiring conversion from larger to smaller unit ( kg-gram and l to ml)
Measurement - Grade 5 (time and tempertaure, no surface area,only volume of rectangular prism, no conversions)
1) determine the relationship between length and width of a rectangle and its formula
2) determine rge relationship between the height, ara of the base and volume of a rectangular prism to develop the formula.
3)determine through relationship between capacity and volume
4)select and justify the most appropriate unit to measure mass (mg, gram, kilogram and tonne)
5)estimate measure and represent time intervals to the nearest second
6)estimate and determine elapsed time
7)measure and record temperatures
8) solve problems involving the relation ship between 12 hour and 24 hour clock