Whole Numbers
• number chart 1-100
• place values (base ten blocks)
• place values table
• the abacus (bridging 100 000 and 1 000 000)
• number lines
• expanded notation
• expressing a number in words
• ordering, factors, prime numbers, multiples, patterns
• adding or subtraction (10, 100, and 1 000)
• rounding to the nearest ten, hundred or thousand
• multiplication by powers of 10 and 100
• ordering whole numbers
Addition
• consolidation of addition (vertical format)
• 3 digit numbers with 4 digit numbers (with carries)
• addition patterns
• number lines (using number sentences)
• mental addition strategies
• grouping
• 5 digit with 4 digit (with and without carries)
• 5 digit with 5 digit (with and without carries)
• 6 digit with 5 digit (with and without carries)
• consolidation of addition and subtraction as inverse operations
• estimation techniques (nearest 10, 100, 1 000)
• number sentences
• terminology (addend + addend = sum)
Subtraction
• consolidation of the subtraction concept
• story problems
• subtraction to 5 digits (with and without regrouping)
• estimation
• subtraction as difference
• subtraction to 6 digits (with and without regrouping)
• subtraction and addition as inverse operations
• story problems
• mental arithmetic
Multiplication
• consolidation of multiplication
• groups, rows, repeated addition, facts, factors, prime, composite
square, factor trees, algorithmic process
• 2 digit numbers by 2 digit numbers (regrouping in units and tens)
• commutative principle
• associative principle
• distributive principle
• 3 digit numbers by 2 digit numbers (with and without regrouping)
• 4 digit numbers by 2 digit numbers (regrouping)
• multiplication and division as inverse operations
• estimation
• number patterns
• story problems
Division
• consolidation of 2 and 3 digit numbers by 1 digit numbers
• 4 digit numbers by 1 digit numbers (with and without regrouping and remainders)
• estimation
• division and multiplication as inverse operations
• order of operations
• introduction to simple long division (3 and 4 digit numbers by 2 digit numbers without remainders)
• estimation and calculator usage
• practical use of division (using story problems)
Fractions
• consolidation of fraction concept: fraction symbolism and mixed numbers
• conceptual development of decimal fractions: consolidation and up
to thousandths
• conceptual development of percentage: equivalent fractions
• addition and subtraction of decimals:
• tens, units, tenths, hundredths, thousandths
• comparing a mixture of fractions and mixed numbers
• multiplication of decimals - units, tenths and hundredths by: a single digit multiplier, a decimal multiplier
• division of decimals: concept of smallness of thousandths, division by a single digit whole number
• problem solving - story problems
Time and Money
• sequencing and durations: hours, minutes, seconds, days, weeks, fortnight, years, decades, centuries, A.D. and B.C
• measures of time
• calculating with time (using renaming), rate and speed
• o’clock, half past, 30 minutes past and minutes past, quarter past,
a.m. and p.m
• representing time: minutes to and quarter to
• problem solving, transport tables
• calendars: including seasons, rhyme for number of days in the
months, write dates using correct abbreviations
• to or since certain events
• Identification of all coins and notes
• dollars and cents: written form, total value, transactions … shopping: multiple items, change given, rounding
• money: operations with money and conversion of $ and cents to cents
• percentages: fractions, percentages and money as related concepts
• discount, increase, decrease by a certain percentage, % of, out of every
Measurement
• concept of mass: conservation of mass and the conversion of g/kg to thousandths, tonnes, gross, tare, net, difference between weight
and mass
• concept of length: informal units of length, the metre, length, width, height, boundary = perimeter, kilometres, conversions
• P (rect) = L+W+L+W = 2L+2W = 2(L+W), P (square) = 4 x S, irregular and regular polygons, circumference, pi, C=(pi)D
• concept of area: part units, sq cm, sq m, hectares, area of rectangle and
square
• concept of volume: ¼L = 250mL, ¾ L = 750 mL, 1.25 L, cubic cm/metres
• concept of angles: degree as unit of measure, right, straight, acute, obtuse, reflex, vertex, arms, protractors
• angles: sum of angles in a triangle=180°, sum of angles in a quad=360°, full rotation=1, revolution=360°, internal, external
Space
• Identify and describe plane (2-D) shapes: Geometric: point, boundary,
regular and irregular polygons, diagonals, table of facts, nonagon, decagon, undecagon/hendecagon, dodecagon
• Compare and classify plane shapes: according to number and size of angles
and sides, opposites equal, right corners, number of diagonals and lines of symmetry, trapeziums and quadrilaterals, congruent and similar
• classify triangles - right-angled, acute, isosceles, equilateral, scalene parts
of a circle - radius, diameter, center, circumference
• Identify and describe 3-D shapes (solids): Geometric: cube; sphere; cone; pyramid; side; prism; cylinder; cross-sections, pyramid construction
• Symmetry: exploration through plane shapes, lines of symmetry, flip, slide
and turn, parallel
• Compass directions and coordinates
Chance and Data
• Introduction to probability: chance, possible, certain, likely, unlikely,
more likely, least likely, best chance, equal chance, random events, terms, outcomes, etc
• Graphs: (3 and 4 column) organising, collecting and interpreting
• Graphs and data: line graphs, conversion graphs, simple circle graphs,
collecting data from experiments; average = mean
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