Singapore Mathematics Standards by Strand: Geometry

Geometry: Primary 1

• rectangle
• square
• circle

• identifying and naming the 4 basic shapes from 2-D and 3-D objects, 
  
• describing and classifying shapes.

• making/ completing patterns with 2-D cut-outs according to one or two of the following attributes

1. shape
   
2. size
   
3. colour

• making / completing patterns with 3-D models:

1. cube
2. cuboid (rectangular block)
3. cone
4. cylinder

Geometry: Primary 2

•  identifying, naming and describing
  

1. semicircle
2. quarter circle,

• identifying the basic shapes that make up a given figure,
• forming different 2-D figures with cut-outs of

1. rectangle
2. square
3. triangle
4. semicircle
5. quarter circle,
   

• forming different 3-D figures with concrete models of

1. cube
   
2.  cuboid
3. cone
4. cylinder,

• copying figures on dot grid or square grid.

Include:

• making/ completing patterns with 2-D cut-outs according to
• one or two of the following attributes

1. shape
2. size
3. orientation
4. colour
   

• identifying lines (straight lines) and curves,
• identifying flat faces of a 3-D object.
  

Geometry: Primary 3

• identifying and naming perpendicular and parallel lines,
  
• drawing perpendicular and parallel lines on square grids.

Include:

• angle as an amount of turning,
• identifying angles in 2-D and 3-D objects,
• identifying angles in 2-D figures,
• identifying right angles, angles greater than/ smaller than a right angle.
  
  

Exclude use of the terms ‘acute’, ‘obtuse’ and 'reflex’ angles.

Geometry: Primary 4

• drawing of perpendicular and parallel lines using ruler and set squares,
• use of the terms ‘vertical’ and ‘horizontal’.

Include:

• using notation such as .ABC and .x to name angles,
• estimation and measurement of angles in degrees,
• drawing an angle using a protractor,
• associating
  

1. ¼ turn/ right angle with 90^o
2. ½ turn with 180^o
3. ¾ turn with 270^o a complete turn with 360^o
   

•  8-point compass.
  
  

Exclude:

• drawing and measuring reflex angles,
  
•  use of the notation °x.
  

Include:

• properties of rectangle and square,
• finding unknown angles.
  
  

Exclude:

•  the term ‘diagonal’ and its related properties,
• finding angles involving additional construction of lines.

Include:

•  identifying symmetric figures,
• determining whether a straight line is a line of symmetry of a symmetric figure,
• completing a symmetric figure with respect to a given
• horizontal/vertical line of symmetry,
• designing and making patterns.
  

Exclude:

• finding the number of lines of symmetry of a symmetric figure,
• rotational symmetry.
  

• recognising shapes that can tessellate,
• identifying the unit shape in a tessellation,
• making different tessellations with a given shape,
• drawing a tessellation on dot paper,
• designing and making patterns.

Geometry: Primary 5

• angles on a straight line,

1. angles at a point,

• vertically opposite angles.

Include:

• identifying and naming the following types of triangles
  1. isosceles triangle,
  2. equilateral triangle,
  3. right-angled triangle,
• use of the property that the angle sum of a triangle is 180^o,
• finding unknown angles,
• drawing a triangle from given dimensions using ruler, protractor and set squares.
  
  

Exclude:

• geometrical construction where the use of compasses is required,
• finding angles involving additional construction of lines, exterior angles.
  

Include:

• identifying and naming parallelogram, rhombus and trapezium,
• properties of parallelogram, rhombus and trapezium,
•  finding unknown angles,
• drawing a square/rectangle/parallelogram/rhombus/trapezium
• from given dimensions using ruler, protractor and set squares.  
  
  

Exclude:

• the term ‘diagonal’ and its related properties,
• geometrical construction where the use of compasses is required,
• finding angles involving additional construction of lines.
  

Geometry: Primary 6

Include:

finding unknown angles in geometrical figures involving
square, rectangle, parallelogram, rhombus, trapezium and triangle.

Include:

• 2-D representation of cube, cuboid, cone, cylinder, prism and pyramid,
• identifying nets of the following solids

1. cube,
2. cuboid,
3. prism,
4. pyramid,

• identifying the solid which can be formed by a given net,
• making 3-D solids from given nets.

Exclude nets of cylinder and cone.