Mapping to the Australian Curriculum: Mathematics
LAF ZONES (Siemon et al., 2006) 
LINKS TO ACARA (2015) 

Zone 1:
Multiplicative thinking (MT) not really apparent as no indication that groups are perceived as composite units, dealt with systematically, or that the number of groups can be manipulated to support more efficient calculation. 
Foundation Year:
Problem Solving: use familiar counting sequences to solve unfamiliar problems. Year 1:
Problem Solving: use familiar counting sequences to solve unfamiliar problems. Year 2:

Zone 2:
Some evidence of MT as equal groups/shares seen as entities that can be counted. 
Year 2:
Understanding: connecting number calculations with counting sequences and partitioning and combining numbers flexibly. Fluency: counting numbers in sequences readily. Year 3:
Understanding: partitioning and combining numbers flexibly and representing unit fractions Fluency: recalling multiplication facts 
Zone 3:
Beginning to work with larger whole numbers and patterns but tends to rely on count all methods or additive thinking (AT). 
Year 4:
Problem Solving: using properties of numbers to continue patterns Reasoning: using generalising from number properties and results of calculations and deriving strategies for unfamiliar multiplication and division tasks 
Zone 4:

Year 4:
Understanding: partitioning and combining numbers flexibly Year 5:
Understanding: comparing and ordering fractions and decimals and representing them in various ways Problem Solving: formulating and solving authentic problems using whole numbers 
Zone 5:

Year 5:
Reasoning: investigating strategies to perform calculations efficiently and continuing patterns involving fractions and decimals Year 6:
Fluency: calculating simple percentages, converting between fractions and decimals, and using operations with fractions, decimals and percentages Problem Solving: formulating and solving authentic problems using fractions, decimals and percentages 
Zone 6:
Developing capacity to work mentally with multiplication and division facts 
Year 6:
Understanding: representing fractions and decimals in various ways and describing connections between them Reasoning: explaining mental strategies for performing calculations Year 7:
Fluency: calculating accurately with integers and representing fractions and decimals in various ways Problem Solving: formulating and solving authentic problems using numbers 
Zone 7:

Year 7:
Understanding: describing patterns in uses of indices with whole numbers, and connecting the laws and properties of numbers to algebraic terms and expressions Fluency: calculating accurately with integers and representing fractions and decimals in various ways Problem Solving: formulating and solving authentic problems using numbers Reasoning: applying the number laws to calculations and applying an understanding of ratio Year 8:
Understanding: identifying commonalities between operations with algebra and arithmetic. 
Zone 8:

Year 8:
Understanding: describe patterns involving indices, connecting rules for linear relations and their graphs. Fluency: includes formulating, and modelling practical situations involving ratios, profit and loss, and areas and perimeters of common shapes. Year 9:
Understanding: describe the relationship between graphs and equations. Fluency: applying the index laws to expressions with integer indices. 
Mapping to the National Numeracy Learning Progression
LAF ZONES (Siemon et al., 2006) 
LINKS TO ACARA (2015) 

Zone 1:
Multiplicative thinking (MT) not really apparent as no indication that groups are perceived as composite units, dealt with systematically, or that the number of groups can be manipulated to support more efficient calculation. 
Foundation Year:
Problem Solving: use familiar counting sequences to solve unfamiliar problems. Year 1:
Problem Solving: use familiar counting sequences to solve unfamiliar problems. Year 2:

Zone 2:
Some evidence of MT as equal groups/shares seen as entities that can be counted. 
Year 2:
Understanding: connecting number calculations with counting sequences and partitioning and combining numbers flexibly. Fluency: counting numbers in sequences readily. Year 3:
Understanding: partitioning and combining numbers flexibly and representing unit fractions Fluency: recalling multiplication facts 
Zone 3:
Beginning to work with larger whole numbers and patterns but tends to rely on count all methods or additive thinking (AT). 
Year 4:
Problem Solving: using properties of numbers to continue patterns Reasoning: using generalising from number properties and results of calculations and deriving strategies for unfamiliar multiplication and division tasks 
Zone 4:

Year 4:
Understanding: partitioning and combining numbers flexibly Year 5:
Understanding: comparing and ordering fractions and decimals and representing them in various ways Problem Solving: formulating and solving authentic problems using whole numbers 
Zone 5:

Year 5:
Reasoning: investigating strategies to perform calculations efficiently and continuing patterns involving fractions and decimals Year 6:
Fluency: calculating simple percentages, converting between fractions and decimals, and using operations with fractions, decimals and percentages Problem Solving: formulating and solving authentic problems using fractions, decimals and percentages 
Zone 6:
Developing capacity to work mentally with multiplication and division facts 
Year 6:
Understanding: representing fractions and decimals in various ways and describing connections between them Reasoning: explaining mental strategies for performing calculations Year 7:
Fluency: calculating accurately with integers and representing fractions and decimals in various ways Problem Solving: formulating and solving authentic problems using numbers 
Zone 7:

Year 7:
Understanding: describing patterns in uses of indices with whole numbers, and connecting the laws and properties of numbers to algebraic terms and expressions Fluency: calculating accurately with integers and representing fractions and decimals in various ways Problem Solving: formulating and solving authentic problems using numbers Reasoning: applying the number laws to calculations and applying an understanding of ratio Year 8:
Understanding: identifying commonalities between operations with algebra and arithmetic. 
Zone 8:

Year 8:
Understanding: describe patterns involving indices, connecting rules for linear relations and their graphs. Fluency: includes formulating, and modelling practical situations involving ratios, profit and loss, and areas and perimeters of common shapes. Year 9:
Understanding: describe the relationship between graphs and equations. Fluency: applying the index laws to expressions with integer indices. 