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  4. Visualise and name 3-dimensional

3.1 Visualise and name 3-dimensional objects in the environment  (Page 2/2)

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4.1 Turn what’s left of the sheet of paper over. Put the tangram together again to form the original square without looking at the second tangram. Now turn the paper over again and see if you did it correctly.

4.2 Now use the shapes to make:

  1. a boat,
  2. a human figure,
  3. a dog,
  4. other things.

4.3 Show your friends what you have made and discuss what you and they have made.

4.4 Paste your best one on paper and use it to decorate the classroom.

TANGRAMS FOR CUTTING OUT

5. Study the triangles in the table.

  • Fill in the number of sides and angles (corners) in each triangle.
  • Encircle the correct statement about the sides and the angles(corners) of each triangle. (Later you will learn to measure the corners; just now decide by just looking at them.)

Triangle

Number of sides: ……..

Length:

  • all the same
  • 2 the same

none the same

Number of angles:……..

Size of angles:

  • all the same
  • 2 the same

none the same

Number of sides: ……..

Length:

  • all the same
  • 2 the same

none the same

Number of angles:……….

Size of angles:

  • all the same
  • 2 the same

none the same

Number of sides: ………

Length:

  • all the same
  • 2 the same

none the same

Number of angles:………

Size of angles:

  • all the same
  • 2 the same

none the same

Number of sides: ……..

Length:

  • all the same
  • 2 the same

none the same

Number of angles:……….

Size of angles:

  • all the same
  • 2 the same

none the same

Number of sides:………

Length:

  • all the same
  • 2 the same

none the same

Number of sides: ……….

Length:

  • all the same
  • 2 the same

none the same

Number of angles:………

Size of angles:

  • all the same
  • 2 the same

none the same

5.3 Use the squared paper on the rest of this page to make as many triangles with different shapes as you can.

6. You know a square and a rectangle. Here are some more QUADRILATERALS: You do NOT need to know their names.

6.1 Use the squared paper on the rest of the page to draw as many different quadrilaterals as you can. Begin with a square and a rectangle.

6.2 Compare their sides and angles and encircle the correct statements.

Shape Sides Angles (corners)
Rectangle Number of sides: ……………Length of sides:
  • all equal
  • opposite sides equal
  • other (explain)
 Number of angles: …………...Size of angles:
  • all equal
  • opposite angles equal
  • other (explain)
Square Number of sides: ……………Length of sides:
  • all equal
  • opposite sides equal
  • other (explain)
 Number of angles: …………...Size of angles:
  • all equal
  • opposite angles equal
  • other (explain)
Parallelogram Number of sides: ……………Length of sides:
  • all equal
  • opposite sides equal
  • other (explain)
 Number of angles: …………...Size of angles:
  • all equal
  • opposite angles equal
  • other (explain)
Shape Sides Angles (corners)
Rhombus Number of sides: ……………Length of sides:
  • all equal
  • opposite sides equal
  • other (explain)
 Number of angles: …………...Size of angles:
  • all equal
  • opposite angles equal
  • other (explain)
Trapezium Number of sides: ……………Length of sides:
  • all equal
  • opposite sides equal
  • other (explain)
 Number of angles: …………...Size of angles:
  • all equal
  • opposite angles equal
  • other (explain)
Kite Number of sides: ……………Length of sides:
  • all equal
  • opposite sides equal
  • other (explain)
 Number of angles: …………...Size of angles:
  • all equal
  • opposite angles equal
  • other (explain)

6.3 Discuss with your friends:

a) Is a square a special rectangle?

b) Is a square a parallelogram?

c) Is a rectangle a parallelogram?

d) What is a quadrilateral?

8. Why is a circle not a polygon?

9. What is the geometrical name for these objects:

9.1

9.2

9.3 a golf ball

10 How many faces (surfaces) has a cube of sugar?

11. Describe in one word the surface of a sphere.

12. Choose the correct word and underline it: The surface of the sun is curved / flat.

13. How many surfaces has a tetrahedron (3-sided pyramid)?

Assessment

LO 3
space and shape (geometry)The learner will be able to describe and represent characteristics and relationships between two-dimensional shapes and three-dimensional objects in a variety of orientations and positions.
We know this when the learner:
3.1 recognises, visualises and names two-dimensional shapes and three-dimensional objects in the environment including:
  • rectangular prisms, spheres, cylinders, and other objects;
  • prisms and pyramids;
  • circles and rectangles;
  • polygons in terms of the number of sides up to 8-sided figures;
3.2 describes, sorts and compares two-dimensional shapes and three-dimensional objects from the environment according to geometrical properties including:
  • shapes of faces;
  • number of sides;
  • flat and curved surfaces, straight and curved sides;

Memorandum

ACTIVITY 1 3D objects

1. Study

2. Drawings; sphere; cube; cylinder; cone; cuboid/ rectangular prism; cuboid; pyramid

3.1 and 3.2

Sphere Cylinder Cube Cuboid Pyramid Cone
Orange Spaghetti Ice block Book Box of chocolates Ice-cream cone
All balls Candle Dice Brick Paper hat
Rake handle margarine

4.1 cuboid

4.2 cylinder

4.3 cone

4.4 cone

4.5 cuboid

5. Table

Object Number of surfaces Flat or curved surfaces Shape of surfaces
Box 6 flat Rectangle
ball 1 curved Sphere
cube 6 flat Square
candle 3 Sides: curved Cylindrical
pyramid 3 or 4 flat Sides: triangular;Base: triangular or square

ACTIVITY 2 2D shapes

1. Polygons: own

2.1 Circles: polygons have straight edges; circles are curved

2.2 It has a curved edge.

3.1 to 3.5 own

4.1 to 4.4 own

5.1 and 5.2

Triangle Sides Corners/ Angles
3all the same 3all the same
32 the same 32 the same
32 the same 3 2 the same
3none the same 3none the same
3none the same 3 none the same
3none the same 3none the same
  • Own
  • Own

6.3 (a) yes

(b) yes

(c) yes

(d) It is a closed, flat 4-sided figure with straight sides.

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Source:  OpenStax, Mathematics grade 4. OpenStax CNX. Sep 18, 2009 Download for free at http://cnx.org/content/col11101/1.1
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