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Orange level - Year 5
Whole Numbers
- number chart 1-100
- place values (base ten blocks)
- place values table
- the abacus (bridging 100, 1 000, 10 000)
- 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 10 and hundred
- multiplication by powers of 10 and 100
Addition
- consolidation of addition (vertical format)
- 3 digit numbers with 2 and 3 digit numbers (with and without carries)
- addition patterns
- number line addition (with number sentences)
- mental addition strategies
- grouping
- 3 digit numbers with 3 digit numbers (with carries)
- 4 digit with 3 digit (with and without carries)
- 4 digit with 4 digit (with and without carries)
- addition of three 4 digit numbers (with carries)
- addition and subtraction as inverse operations)
- estimation techniques (nearest 10 and 100)
- number sentences
Subtraction
- consolidation of the subtraction concept
- number patterns
- mental subtraction (grouping)
- subtraction to 9 999 (no regrouping)
- vertical subtraction to 9 999 (1 regrouping)
- vertical subtraction to 9 999 (2 regroupings)
- subtraction with zeros
- subtraction stories
- subtraction and addition as inverse operations
- estimation
Multiplication
- consolidation of multiplication
- factors, multiples, and products
- multiplication by tens, hundreds, multiples
- 2 and 3 digit numbers by 1 digit numbers (regrouping)
- 3 and 3 digit numbers by 1 digit numbers (no regrouping and internal zero)
- multiplication patterns and square number patterns
- 4 digit numbers by 1 digit numbers (with and without regrouping)
- 2 digit numbers by 2 digit numbers (with and without regrouping)
- zeros in partial products
- estimation
- story problems
Division
- consolidation of division
- review of number lines, factors, terminology, and basic facts
- strategies (multiplication-inverse/repeated subtraction)
- 2 digit numbers divided by 1 digit numbers (with/without regrouping and remainders)
- 3 digit numbers divided by 1 digit numbers (with/without regrouping and remainders)
- divisibility
- dividing by 10, 100, 1 000
- estimation
- story problems
Fractions
- consolidation of the fraction concept
- fraction symbolism: consolidation and mixed numbers
- conceptual development of decimal fractions to hundredths
- modelling tenths and hundredths
- symbolic representation and place value
- increasing and decreasing by hundredths and place value
- exploring equivalence relationships (common and decimal fractions)
- addition and subtraction of decimals: to hundredths
- multiplication of decimals: units and tenths by a single digit multiplier
- story problems and estimation: including common and decimal fractions
related to measures
Time and Money
- sequencing and durations: minutes , hours, days, years, decades,etc
- measures of time, rate and speed
- o'clock, half past, 30 minutes past and minutes past, quarter past, a.m. and p.m.
- minutes to and quarter to
- time problem solving
- calendars: ordinals to 31st, seasons, rhyme for number of days in months, etc
- write dates using correct abbreviations
- days and months to or since certain events
- dollars and cents: written form and total value
- cash transactions
- shopping: multiple items, change given, rounding
- operations with money and conversion of $ and cents to cents for division
Measurement
- consolidation of the concept of mass and length
- conservation of mass and the kilogram
- concept of length: comparison of 2 and more objects
- concept of length: informal units of length, the metre, length, width, height, boundary = perimeter
- consolidation of concept of area and part units
- consolidation of the concept of volume
- the litre, less than, more than, millilitres
- concept of angles: turns and corners, right angles
Space
- identify and describe plane (2-D) shapes: inside/outside, tangrams, geometric: point, boundary, regular and irregular polygons, diagonals, table of facts
- compare and classify plane shapes: according to three attributes, 5 sides or more - shape is labelled according to the number of sides, quadrilaterals
- identify and describe 3-D shapes (solids): geometric: cube, sphere, cone, pyramid, side, prism, cylinder, cross-sections, pyramid construction v
- symmetry: exploration through plane shapes, lines of symmetry, shapes and sides etc
Chance and data
- introduction to probability: chance, possible, certain, likely, unlikely, more likely, least likely, best chance, equal chance
- introduction to probability: 1 selection only
- graphs: 3 and columns: organising, collecting and interpreting
- graphs and data: line graphs, simple circle graphs, collecting data from experiments
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