# Singapore Primary School Mathematics - Geometry Part 1 by Education Cube, posted on May 30, 2016

The Singapore Mathematics (Primary) syllables cover numerical, algebraic, geometrical, statistical, probabilistic, and analytical concepts.  While mathematics should be seen as an integrated whole, not merely isolated piece of knowledge, a deep understanding of mathematical concepts serves as a foundation from which the student can become more confident in exploring, connecting and applying mathematics.  Here, we explore what the student should know by the end of Primary Six (Grade 6) in Singapore. WHAT YOU NEED TO KNOW

Triangle
Include: 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 degrees

-          finding unknown angles

-          drawing a triangle from given dimensions using ruler, protractor and set squares.

Rectangle, Square, Parallelogram, rhombus and trapezium
Include:

-          identifying and naming parallelogram, rhombus and trapezium

-          properties of rectangle, square, parallelogram, rhombus and trapezium

-          finding unknown angles

-          drawing a square/rectangle/parallelogram/rhombus/trapezium from given dimensions using ruler, protractor and set squares.

2-D and 3-D figures
Include:

-          identifying, naming and describing – 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

-          forming different 3-D figures with concrete models of – cube, cuboid, cone, cylinder

-          copying figures on dot grid or square grid.

Line, curve and surface
Include:

-          identifying lines (straight lines) and curves

-          identifying flat faces of a 3-D object

Perpendicular and parallel lines
Include:

-          identifying and naming perpendicular and parallel lines

-          drawing perpendicular and parallel lines on square grids

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

Symmetry
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.

Angles
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

-          using notation such as ABC and x to name angles

-          estimation and measurement of angles in degrees

-          drawing an angle using a protractor

-          associating: ¼ turn/ right angle with 90 degrees, ½ turn with 180 degrees, ¾ turn with 270 degrees, and a complete turn with 360 degrees

-          angles on a straight line

-          angles at a point

-          vertically opposite angles

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

8-point compass.

-          north, south, east, west, northeast, northwest, southeast, southwest

Patterns
Include:

-          making/ completing patterns with 2-D cut-outs according to one or two of the following attributes – shape, size, and colour

-          making / completing patterns with 3-D models: cube, cuboid (rectangular block), cone, and cylinder

Tessellation
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.

Nets
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.