PATTERNS AND ALGEBRA CONCEPT SEQUENCE
Patterns
Algebra
Kindergarten
 Patterns of actions, sounds, objects, shapes and pictures
Year 1




Year 2
 Number patterns by skip and rhythmic counting multiples
identifying the rule and terms through multiplication
 Relationship between addition and subtraction
 Even numbers as two equal rows
Year 3
 Describing a rule for a number pattern, then creating the pattern
 Patterns adding and subtracting 100s and 1000s from four-digit
numbers
 Distributivity, associating dividing with fractions
 Missing and Equivalent Number Sentences, equality and
the relationship between Addition and Subtraction
Year 4
 Number patterns halves, quarters and thirds
 Patterns adding and subtracting 100s and 1000s from five-digit
numbers
 Add and subtract even and odd numbers
 Number patterns involving fractions, decimals and whole numbers,
that increase through addition and decrease through subtraction,
including on number line
 Number patterns involving fractions, decimals and whole numbers,
that increase through addition and decrease through subtraction,
including on number line
 Equivalent division calculations
 Equivalent number sentences involving multiplication and
division
 Number patterns that increase and decrease by adding and
subtracting fractions and decimals, generalising and describing the
rules
 Missing and equivalent number sentences using order of
operations and grouping symbols
 Square and triangular numbers
Year 5
Year 6




Number patterns addition and subtraction
Rhythmic and skip counting patterns
Odd and even number patterns
Patterns by adding and subtracting 100s, 10s and 1s
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
Commutativity and associativity
Zero
Equality
Even numbers by halving
YouTube: A Learning Place A Teaching Place
Scan the QR Code
Facebook: A Learning Place
1
Patterns and Algebra Concept
1P
Copy and continue patterns of sounds, actions, objects, shapes and pictures, identifying the part that repeats
2P
Recognise when an error occurs in patterns of objects, shapes and pictures using the part that repeats
3P
Identify the number of items in the part that repeats in patterns of objects, shapes and pictures and determine a missing element
4A
Add single-digit numbers explaining commutativity
5A
Add and subtract zero
6A
Add 3 or more numbers using associativity and friends of 10
7A
Investigate equivalent number sentences involving addition and subtraction, describing the equals sign as equality
8P
Create and continue number patterns that increase through addition and decrease through subtraction, explaining how the number
patterns repeat, increase and decrease
Rhythmic and skip count forwards and backwards by 2s, 5s and 10s naming multiples on a number line and on a hundred chart
9A
Explain even numbers by halving to get a whole number
10P
Identify odd and even number patterns, recognising when an error occurs
11P
Describe patterns that increase and decrease by adding and subtracting 10
12P
Describe patterns that increase and decrease by adding and subtracting 100s, 10s and 1s, on and off the hundred and decade
13A
Explain even numbers as counters paired in two equal rows
14A
Partitioning numbers to understand the relationship between addition and subtraction including seeing difference in three ways and
missing number sentences
15A
Solve problems involving addition or subtraction, represent a word problem as a number sentence and
writing a word problem to represent a number sentence
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Scan the QR Code
Facebook: A Learning Place
2
Patterns and Algebra Concept
16P
Describe patterns that increase and decrease by adding and subtracting 100s and 1000s on and off the decade, hundred and thousand
from four-digit numbers, including over 1000s
Describing a rule for a number pattern, then creating the pattern
17A Multiply using the distributive property
Associate dividing into equal groups with fractions
18A
Create and solve missing and Equivalent Number Sentences, explaining equality and the relationship between Addition and Subtraction
19P
Describe patterns that increase and decrease by adding and subtracting 100s and 1000s on and off the decade, hundred and thousand
from five-digit numbers, including over 1000s
20A
Add and subtract combinations of even and odd numbers, using the relationships to check calculations
21P
Describe number patterns involving fractions, (halves, quarters and thirds), that increase through addition and decrease through
subtraction, including on number line
22P
Describe number patterns by skip and rhythmic counting forwards and backwards by 3, 4, 6, 7, 8, 9, 10 identifying the terms as multiples
of 3, 4, 6, 7, 8, 9, 10 identifying the rule and terms through multiplication
Describe number patterns by skip and rhythmic counting forwards and backwards by 3, 4, 6, 7, 8, 9, 10 from any point on number line
identifying the rule and terms through multiplication
Describe a rule for a number pattern using multiplication or division, then creating the pattern
23A
Record number sentences to represent additive problems, using partitioning to find unknown quantities
24A
Solve word problems using number sentences involving multiplication and division
25A
Explain equivalent division calculations result if both numbers are divided by the same factor
Create and solve equivalent number sentences involving multiplication and division
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Scan the QR Code
Facebook: A Learning Place
3
Patterns and Algebra Concept
26P
27P
Describe number patterns involving fractions, decimals and whole numbers, that increase through addition and decrease through
subtraction, including on number line
Describe number patterns that increase and decrease by adding and subtracting fractions and decimals, generalising and describing the
rules
28A
Identify square and triangular numbers
29A
Solve every day additive problems using a number line involving negative numbers
30A
Create and solve missing and equivalent number sentences using order of operations and grouping symbols
31A
Identify prime and composite numbers
Explain composite numbers are the product of prime factors
Using prime factors to simplify calculations
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Scan the QR Code
Facebook: A Learning Place
4