Australian Progressions - Number Patterns & Algebraic Reasoning

This growing bundle contains activities and resources that align with the Australian Numeracy Progressions in the area of Quantifying Numbers. There are resources available across ALL K-6 progression levels. NPA1, NPA2, NPA3, NPA4, NPA5, NPA6, NPA7, and NPA8

If there is something you'd like to see added in a future update, please send me an email at primaryactivityideas@gmail.com and I will add that resource as soon as possible! For example: "Could you please add some more Worksheets for level NPA4" or "Can you add a warm-up lesson on identifies the pattern unit within a simple repeating pattern" and I will get it added :)

This bundle includes resources and activities for the following Australian Numeracy Progressions:

NPA1 - Identifying patterns

● recognises simple patterns in everyday contexts

● copies simple patterns

NPA2 - Identifying and creating patterns

● identifies standard patterns (dice or domino) without counting individual items

● creates repeating patterns with numbers and shapes (circle, square, circle, square or 1,2,3 1,2,3 1,2,3)

NPA3 - Identifying repeating patterns

● identifies the pattern unit within a simple repeating pattern (continues a simple pattern)

● identifies standard patterns up to 10 (patterns in ten frames, finger patterns, playing cards)

● finds the missing element in a pattern involving shapes or objects

NPA4 - Continuing number patterns and Introducing number sentences

● continues patterns where the difference between each term is the same number (2, 4, 6, 8, 10 …)

● describes rules for continuing patterns where the difference between each term is the same number (to find the next number in the pattern 3, 6, 9, 12 … you add 3)

● sequences numbers to identify a pattern or rule

● recognises the equals sign as meaning ‘is equivalent to’ or ‘is the same as’ not just ‘makes’ (recognises that 5 + 3 = 6 + 2)

● finds missing values in a number sentence (5 + ? = 6 + 2)

NPA5 - Generalising patterns and Number properties

● identifies elements, including missing elements, in a one-operation number pattern

● uses equivalent number sentences involving addition or subtraction to find an unknown (527 + 96 = ? is the same as 527 + 100 – 4 = ?)

● applies knowledge of factors associated with the row and column structure of arrays to explain the commutative property of multiplication (3 x 4 = 4 x 3)

NPA6 - Generalising patterns and Number properties

● identifies a single operation rule in numerical patterns and records it as a numerical expression (2, 4, 6, 8, 10 … is n + 2, or 2, 6, 18, 54 … is 3n)

● predicts a higher term of a pattern using the pattern’s rule

● creates and interprets number sentences demonstrating the inverse relationship between multiplication and division

● balances number sentences involving one or more operations following conventions of order of operations (5 x 2 + 4 = 4 x 2 + ?, 5 + 2 x 3 = 11)

● recognises that any number multiplied by 0 equals 0 which means that one of the factors is 0 (3 x ? = 0)

NPA7 - Representing unknowns

● uses words or symbols (including letters) to express relationships involving unknown values

● finds the value of formulae or algebraic expressions by substituting

● creates algebraic expressions from word problems involving one operation

NPA8 - Algebraic expressions

● creates and identifies algebraic expressions from word problems involving two operations and one unknown

● recognises equivalent algebraic expressions

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 has 6 times as many stickers as Carol)