Regina, Saskatchewan.

- From a catalogue cut out pictures of different toys.
- Look carefully at each picture.
- From construction paper cut out the shape or shapes you see in each toy.
- Make a chart showing the toys with the shapes beside.
- What shape do you see the most?

- Make a skeleton model of a square using 4 strips of cardboard fastened with paper clips.
- Holding the bottom rigid, push the top or opposite side sideways
- What are the characteristics of the new shape?
- How is this new shape, called a RHOMBUS, diferent from the square?

3. Opposite sides are parallel. Opposite sides are equal.

4. The rhombus does not necessarily have right angles.

- Trace a circular region on paper and cut it out.
- How can you find its center?
- What other discoveries did you make?

2. Measure across and find midpoint.

3. Radius and Circumference

- In the room find models of each of the following shapes:
- cube
- rectangular prism
- triangular prism
- cylinder
- cone
- sphere

- Make a chart to show the following information:

- Number of Faces
- Number of Verticals
- Number of Edges
- Number of Curved Surfaces
- Shape of Faces

- Colour each of the angles of a triangle a colour.
- Tear off each angle and fit them together.
- What discovery did you make?
- Do the same with several different triangles.
- Compare your results.
- What do you notice?

3. The angles form a straight line.

4. The same results. The angles of a triangle equal 180 degrees.

- Find the sum of all the angles in:
- a triangle
- a quadrilateral
- a pentagon

- What pattern is established?
- Can this same pattern be used to calculate the number of degrees in a decagon? or a 16 sided polygon?

1.a) 180 degrees b) 360 degrees c) 540 degrees (three triangles)

2. There are 2 less triangles in the polygons than the number of sides.

3. a)10 - 2=8 triangles

b)8x180=1440 degrees

4. a)16 - 2=14 triangles

b)14x180 degrees=2520 degrees

- Draw 3, 4, 5, 6-sided plane polygons.
- Draw all diagonals for each shape.
- Make a chart for each figure to show the following: number of diagonals from each vertex and total no. of diagonals.
- What is the relationship between the number of sides and the number of diagonals that can be drawn from any vertex of that polygon?
- How many diagonals can be drawn from any vertex of a 10 sided polygon.

Polygon | No. of Diaginals from each Vertex |
Total No. of Diagonals |
---|---|---|

Triangle | 0 | 0 |

Quadr1lateral | 1 | 2 |

Pentagon | 2 | 5 |

Hexagon | 3 | 9 |

- Use a square piece of paper.
- Fold it from one corner to its opposite corner.
- Cut along this fold. This is called a DIAGONAL.
- What shape is each part? Are they the same size?
- Cut along a diagonal of each of the following:
- rectangle
- paralellogram
- rhombus
- regular hexagon

- Is one part the same shape and size as the other?

4. Each part is a triangle and yes they are the same.

6. Yes, each part is the same.

- Draw the following figures to find the number of intersections that
occur when placed on top of each other:
- triangle on triangle
- rectangle on rectangle
- pentagon on pentagon
- hexagon on hexagon

- What is the maximum number of intersection for each?

1. a) 6 b) 4 c) 10 d) 12

2. Twice the sides

- Use a number of unit squares.
- Make as many patterns as you can. Remember to use the same number of squares each time.
- Make a diagram of each pattern on graph paper.
- Which pattern has the greatest perimeter?
- Which has the smallest perimeter?

- Cut irregular shapes from cardboard.
- Using graph paper, find which shape has the largest area?
- How did find which has the largest area?

Count the square and half the squares...

- Make plasticine models of the follwoing solids:
- rectangular prism
- sphere
- cone
- triangluar prism

- Cut each into two pieces as close the same size as possible.
- Place one section in front of a mirror.
- Do you see the complete solid?
- Cut each solid again, but in a different place.
- Test with mirror.
- How many ways can you cut a solid to look complete when put in front of a mirror

4. Yes

7. Once, in half

- Obtain printed capital letters of the alphabet.
- Place a mirror on each letter so that part of the letter and its
reflection form the whole letter.

For what letters is this possible? - For which letters can you place the mirror in more than one position and get this result?

2. A, B, C, D, E, H, I, K M O, T, U, V, W, X, Y

3. H, I, O and X

- Select an object shaped like this:

- Find other objects that are the same size and shape as yours.
- Tell how you checked to find out whether it was the same size and shape.

Unscramble some of these geometric words:

- ribsecot
- galen
- reevxt
- gootnac
- niratleg
- cafe
- diusar
- nepal
- rac
- miperteer
- plif
- lehnoydop
- beas
- liequalrate
- noce

**Solutions:**

bisector

angle

vertex

octagon

triangle

face

pyramid

radius

plane

arc

perimeter

flip

polyhedron

base

equilateral

cone

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