Interpreting fractions description
This sub-element emphasises the development of the fraction concept and the size of fractions rather than the development of procedures or algorithmic skills. Understanding the size of a fraction is an indicator of the depth of a student’s understanding …
Interpreting fractions | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
Operating with percentages description
This sub-element focuses on understanding the use of percentages in representing quantities. It begins with understanding the concept of a percentage, progresses through calculations of a percentage, finding a percentage change first through two steps …
Operating with percentages | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
Understanding money description
The descriptive term decimal applied to money refers to the basic conversion units being multiples of ten. However, money is not a true decimal system. Amounts such as $2.99 are spoken as two whole numbers (2 dollars 99) and, due to the withdrawal of …
Understanding money | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
Multiplicative strategies description
This sub-element describes how a student becomes increasingly able to use multiplicative strategies in computation. The coordination of units multiplicatively involves using the values of one unit applied to each of the units of the other, the multiplier. …
Multiplicative strategies | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
How can the numeracy progression be used?
The National Numeracy Learning Progression can be used at a whole school, team or individual teacher level. However, the progression provides maximum student learning benefits when used as part of a whole-school strategy that involves professional learning …
How can the numeracy progression be used? | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
How is the numeracy progression related to the Australian Curriculum?
Numeracy skills are explicit teaching in the Australian Curriculum: Mathematics. Students need opportunities to recognise that mathematics is constantly used outside the mathematics classroom and that numerate people apply general mathematical skills …
How is the numeracy progression related to the Australian Curriculum? | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
How is the numeracy progression structured?
Elements and sub-elements The National Numeracy Learning Progression has three elements that reflect aspects of numeracy development necessary for successful learners of the F–10 Australian Curriculum and in everyday life. The three elements are: Number …
How is the numeracy progression structured? | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
AdS1
Emergent strategies combines two groups of objects and attempts to find the total compares two quantities of up to 10 and states which group has more
AdS1 | Additive strategies | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
AdS3
Figurative (imagined units) solves additive tasks involving two concealed collections of items by visualising, counting from one to determine the total
AdS3 | Additive strategies | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
UnM7
Giving change uses complementary addition (the shopkeeper’s method of adding change to obtain the amount tendered) to determine the difference between two amounts, rounding as necessary
UnM7 | Understanding money | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
NPA8
Algebraic expressions creates and identifies algebraic expressions from word problems involving two operations and one unknown recognises equivalent algebraic expressions
NPA8 | Number patterns and algebraic thinking | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
AdS7
Flexible strategies with two-digit numbers applies knowledge of 10 as a unit to add and subtract 2 two-digit numbers (jump strategy, split strategy or compensation) manipulates tens and ones flexibly for addition and subtraction (to add 45 and 37, …
AdS7 | Additive strategies | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
InF6
Fractions as numbers connects the concepts of fractions and division: a fraction is a quotient, or a division statement (two-sixths is the same as 2 ÷ 6 or 2 partitioned into 6 equal parts) justifies where to place fractions on a number line (to place …
InF6 | Interpreting fractions | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
UuM1
Describing length identifies the attribute of length (using gestures) identifies the longest object using direct comparison compares the length of two objects by aligning the ends uses everyday language to describe attributes that can be measur …
UuM1 | Understanding units of measurement | Measurement and geometry | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
AdS5
Counting back (by ones) uses count-down-from for subtraction tasks (9 – 3 = ?, 9 ... 8, 7, 6. It equals 6) uses count-down-to to calculate (9 take away something equals 6, responds 9 ... 8, 7, 6 ... It's 3) finds the difference between two numbers …
AdS5 | Additive strategies | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
AdS2
Perceptual strategies counts items that can be perceived by ones to find the total of two groups with one-to-one matching of number words and objects builds and subtracts numbers by using objects or fingers makes combinations to form numbers up to …
AdS2 | Additive strategies | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
MuS5
Coordinating composite units coordinates two composite units (mentally) as an operation (that is, both the number of groups and the number in each group are treated as composite units) represents multiplication in various ways (arrays, factors, ‘for …
MuS5 | Multiplicative strategies | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
NPA9
Algebraic relationships interprets and uses formulae and algebraic representations that describe relationships in various contexts (Body Mass Index – BMI) creates an algebraic expression in two unknowns to represent a formula or relationship (Anna …
NPA9 | Number patterns and algebraic thinking | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
InF7
Using fractions uses knowledge of equivalence to compare fractions (when comparing two-thirds and three-quarters, subdivides the whole into twelfths) justifies the need for the same denominators to add or subtract fractions uses strategies to find …
InF7 | Interpreting fractions | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
QuN10
Numeral recognition and identification of place value identifies numerals in the range 0–10 000 (is shown the numeral 2001 and responds two thousand and one) recognises a numeral from a given range of numerals up to 10 000 (when presented with the …
QuN10 | Quantifying numbers | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources