The document outlines key concepts in whole numbers, money and measures, statistics, fractions, and geometry that students should understand by a certain level. It covers topics like place value, the four operations, units of measurement, bar graphs, equivalent fractions, comparing fractions, and identifying angles. The level of complexity is appropriate for elementary students, focusing on foundational skills and concepts without advanced formulas or multi-step word problems.

1. Whole numbers
• Number notation and place values
o read and write numbers up to 10 000 in numerals and in words
o recognise the place values of numbers (thousands, hundreds, tens, ones)
o compare and order numbers up to 10 000
• Addition and subtraction
o add and subtract numbers up to 4 digits
 Include use of terms ‘sum’ and ‘difference’
 Include use of abacus
o carry out addition and subtraction mentally involving two 2-digit numbers
• Multiplication tables up to 10 x 10
o count in steps of 2, 3, 4, 5, . . ., 10
 Include completing number sequences leading to multiplication tables
o build up the multiplication tables up to 10 × 10 and commit to memory
• Multiplication and division by a 1-digit number
o multiply and divide numbers up to a 3-digit number by a 1-digit number
 Include use of the terms ‘product’, ‘quotient’ and ‘remainder’
 Exclude2-step calculation such as: Find the product of 6 and the difference between 10 and 8
o carry out simple mental calculations
• Odd and even numbers
o identify odd and even numbers
• Word problems
o solve up to 2-step word problems involving the four operations on whole numbers
 Include units of measure
Money and measures
• Units of measure
o visualise the relative magnitudes of standard units
 kilometre and metre
 metre and centimetre
 kilogram and gram
 litre and millilitre
 hour and minute
 minute and second
 year and month
 month and day
 year and day
 week and day
 Include use of the word ‘capacity’
 Include use of abbreviations: km, m, cm, kg, g, l, ml, h, min, s
o measure in compound units
 length : kilometre, metre, centimetre
 mass : kilogram, gram
 time : hour, minute, second, day, week, month, year
 area : square metre, square centimetre
 volume : litre, millilitre
 Include estimating and measuring with different units
 Include use of the terms ‘past’ and ‘to’ such as ‘10 minutes past 5’ and ‘15 minutes to 12’
o carry out the following conversions, and vice versa:
 kilometre to metre
 metre to centimetre
 kilogram to gram
 litre to millilitre
 hour to minute
 minute to second
 year to month
 week to day
 Include compound units
 Numbers involved should be within easy manipulation
• Addition and subtraction of length, mass, volume and time
o add and subtract in compound units
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2.  length
 mass
 volume
 time
 Excludeseconds
 Numbers involved should be within easy manipulation
• Addition and subtraction of money
o add and subtract money in compound units using the decimal notation
• Word problems
o solve up to 2-step word problems involving money, length, mass, volume and time
 Include problems involving different units of measure
 Include problems involving concept of duration of time interval
• Perimeter of a rectilinear figure
o calculate the perimeter of a rectilinear
 in centimetres
 in metres
 Include estimating and measuring perimeter
• Area and perimeter of a square and a rectangle
o calculate the perimeter of square and rectangle
 Excludeuse of formulae
o compare the areas of shapes in nonstandard units
o estimate the area of a square and a rectangle in standard unit
o visualise the relative sizes of 1 square metre and 1 square centimetre
 Excludeconversion between cm2 and m2
 Include estimating area in square metres and square centimetres
o use formula to calculate the area of a square and a rectangle
 Include use of abbreviations: cm2, m2
Statistics
• Bar graphs
o read scales on the axis
 Include both horizontal and vertical representations
o read and interpret bar graphs
o solve problems using information given in bar graphs
Fractions
• Equivalent fractions
o recognise and name equivalent fractions
 Include the terms ‘numerator’ and ‘denominator’
o list the first 8 equivalent fractions of a given fraction with denominator not greater than 12
o write the equivalent fraction of a fraction given the denominator/ numerator
o express a fraction in its simplest form
• Comparing and ordering
o compare and order related and unlike fractions with denominators up to 12
 Include both increasing and decreasing order
 Number of fractions involved should not exceed 3
Geometry
• Concept of angles
o associate an angle as a certain amount of turning
o identify right angles
 For identifying right angles in a figure, restrict to only right angles inside the figure
o tell whether a given angle is greater or smaller than a right angle
 Excludeuse of the terms ‘acute’, ‘obtuse’ and ‘reflex’ angles
o identify angles in 2-D shapes
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