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'''Geometry''' is a strand that appears in [http://www.moe.gov.sg/education/syllabuses/sciences/files/maths-primary-2007.pdf Singapore's Primary Mathematics Syllabus]. Singapore’s approach to [[Mathematics Education|mathematics education]] has become important to many Western APEC members because their students perform well on international assessments. The main approach to [[Singapore Mathematics|Singapore Mathematics]] is the use of visual representations so that students may grasp abstract ideas. The following table was taken from Singapore's Primary Mathematics Syllabus. [[Mathematics Standards|Mathematics standards]] for the following strands are also outlined in the syllabus: [[Singapore Mathematics Standards by Strand: Data and Probability|data and probability]], [[Singapore Mathematics Standards by Strand: Measurement|measurement]] and [[Singapore Mathematics Standards by Strand: Numbers|numbers]]. '''<br>'''

<br>

__TOC__ 

{| cellspacing="1" cellpadding="1" width="700" border="1"
|-
| colspan="2" | 
==== '''Geometry: Primary 1''' ====

|-
| '''Basic shapes: '''
*rectangle 
*square 
*circle

<br>

| Include: 
*identifying and naming the 4 basic shapes from 2-D and 3-D objects,&nbsp;<br>
*describing and classifying shapes.

|-
| valign="top" width="30%" | '''Patterns'''<br>
| Include: 
*making/ completing patterns with 2-D cut-outs according to one or two of the following attributes

#shape<br>
#size<br>
#colour

*making / completing patterns with 3-D models:

#cube 
#cuboid (rectangular block) 
#cone 
#cylinder

<br>

|-
| colspan="2" | 
==== '''Geometry: Primary 2''' ====

|-
| valign="top" | '''2-D and 3-D figures '''<br>
| Include: 
*&nbsp;identifying, naming and describing<br>

#semicircle 
#quarter circle,

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

#rectangle 
#square 
#triangle 
#semicircle 
#quarter circle,<br>

*forming different 3-D figures with concrete models of

#cube<br>
#&nbsp;cuboid 
#cone 
#cylinder,

*copying figures on dot grid or square grid.

<br>

|-
| valign="top" | '''Patterns '''<br>
| 
Include: <br>

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

#shape 
#size 
#orientation 
#colour <br>

|-
| valign="top" | '''Line, curve and <br>surface '''<br><br>
| Include: 
*identifying lines (straight lines) and curves, 
*identifying flat faces of a 3-D object.<br>

|-
| colspan="2" | 
==== '''Geometry: Primary 3''' ====

|-
| valign="top" | '''Perpendicular and <br>parallel lines <br>'''<br>
| Include: 
*identifying and naming perpendicular and parallel lines,<br>
*drawing perpendicular and parallel lines on square grids.

<br>

|-
| valign="top" | '''Angles''' <br>
| 
Include: <br>

*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.<br><br>

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

|-
| colspan="2" | 
==== '''Geometry: Primary 4''' ====

|-
| valign="top" | '''Perpendicular and parallel lines <br>'''<br>
| Include: 
*drawing of perpendicular and parallel lines using ruler and set squares, 
*use of the terms ‘vertical’ and ‘horizontal’.

<br>

|-
| valign="top" | '''Angles '''<br>
| 
Include: <br>

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

#¼ turn/ right angle with 90<sup>o</sup> 
#½ turn with 180<sup>o</sup> 
#¾ turn with 270<sup>o&nbsp;</sup>a complete turn with 360<sup>o</sup><br>

*&nbsp;8-point compass. <br><br>

Exclude: <br>

*drawing and measuring reflex angles,<br>
*&nbsp;use of the notation °x. <br>

|-
| valign="top" | '''Rectangle and square '''<br><br>
| 
Include: <br>

*properties of rectangle and square, 
*finding unknown angles. <br><br>

Exclude: <br>

*&nbsp;the term ‘diagonal’ and its related properties, 
*finding angles involving additional construction of lines.

|-
| valign="top" | '''Symmetry <br>'''
| 
Include: <br>

*&nbsp;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. <br>

Exclude: <br>

*finding the number of lines of symmetry of a symmetric figure, 
*rotational symmetry. <br>

|-
| valign="top" | '''Tessellation '''<br>
| Include: 
*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.

<br>

|-
| colspan="2" | 
==== '''Geometry: Primary 5''' ====

|-
| valign="top" | '''Angles <br>'''
| Include use of the following properties to find unknown angles: 
*angles on a straight line,

#angles at a point,

*vertically opposite angles.

<br>

|-
| valign="top" | '''Triangle '''<br>
| 
Include: <br>

*identifying and naming the following types of triangles 
*#isosceles triangle, 
*#equilateral triangle, 
*#right-angled triangle,
*use of the property that the angle sum of a triangle is 180<sup>o</sup>, 
*finding unknown angles, 
*drawing a triangle from given dimensions using ruler, protractor and set squares. <br><br>

Exclude: <br>

*geometrical construction where the use of compasses is required, 
*finding angles involving additional construction of lines,&nbsp;exterior angles. <br>

|-
| valign="top" | '''Parallelogram, rhombus and <br>trapezium <br>'''<br>
| 
Include: <br>

*identifying and naming parallelogram, rhombus and trapezium, 
*properties of parallelogram, rhombus and trapezium, 
*&nbsp;finding unknown angles, 
*drawing a square/rectangle/parallelogram/rhombus/trapezium 
*from given dimensions using ruler, protractor and set squares. <span id="1256067277609E" style="display: none">&nbsp;</span><br><br>

Exclude: <br>

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

|-
| colspan="2" | 
==== '''Geometry: Primary 6''' ====

|-
| valign="top" | '''Geometrical figures <br>'''
| 
Include:<br>

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

|-
| valign="top" | '''Nets '''<br>
| 
Include: 

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

#cube, 
#cuboid, 
#prism, 
#pyramid,

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

<br><br>Exclude nets of cylinder and cone. <br>

|}

<br>

== See also  ==

*[[Singapore Mathematics Standards by Strand: Data and Probability|Singapore Mathematics Standards by Strand: Data and Probability]] 
*[[Singapore Mathematics Standards by Strand: Measurement|Singapore Mathematics Standards by Strand: Measurement]] 
*[[Singapore Mathematics Standards by Strand: Numbers|NSingapore Mathematics Standards by Strand: Numbers]] 
*[[Singapore_Mathematics|Singapore Mathematics]]
Return to Singapore Mathematics Standards by Strand: Geometry.
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