Download addition and subtraction concept sequence

ADDITION AND SUBTRACTION CONCEPT SEQUENCE
Kindergarten:
 Informal understanding of adding by joining groups and subtracting by taking away (in Informal Number Concepts Sequence)
Year 1:
 Add and subtract 2 single-digit numbers, initially using count by ones strategies, then using non-count by ones strategies
 Add and subtract a single-digit number to and from teen numbers using non-count by ones strategies
 Add and subtract a single-digit number to and from twenty-something numbers using non-count by ones strategies
 Add and subtract a single-digit number to and from two-digit numbers using non-count by ones strategies
Year 2:
 Add and subtract 2 tens numbers using count by tens strategies
 Add and subtract 2 tens numbers using non-count by tens strategies
 Add and subtract a tens number to and from two-digit numbers using count by tens strategies
 Add and subtract a tens number to and from two-digit numbers using non-count by tens strategies
 Add and subtract two-digit numbers using count by tens and ones strategies
 Add and subtract two-digit numbers using non-count by tens and ones strategies
Year 3:
 Add and subtract 2 three-digit numbers using mental strategies
 Add and subtract 2 four-digit numbers using mental strategies
Year 4:
 Add and subtract 2 five-digit numbers using mental strategies
 Exposure to formal algorithms
Year 5:
 Add and subtract fractions and mixed-numerals with the same denominator using mental strategies
Year 6:
 Add and subtract fractions and mixed-numerals with related denominators using mental strategies
 Add and subtract decimals using mental strategies
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Addition and Subtraction Concept
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Count forwards by 1s is adding 1 each time, recording on a number line
2
Count backwards by 1s is subtracting 1 each time, recording on a number line
3
Add single-digit numbers, including to make teen numbers using count-by-ones strategies
I. using counters, recording counters
II. counting in head by 1s from 1, recording numbers counted
III. counting on by 1s from one number, recording on a number line
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Subtract a single-digit number from a single-digit number using count-by-ones strategies
I. using counters, recording counters
II. counting in head by 1s from 1, recording numbers counted
III. counting back by 1s from one number, recording on a number line
5
Add single-digit numbers explaining commutativity
6
Add single-digit numbers, including to make teen numbers using non-count by ones strategies
7
Subtract a single-digit number from a teen number to make a number less than 10, using non-count by ones strategies
8
Add a single-digit number to a teen number to make a twenty-something number, using non-count by ones strategies
Subtract a single-digit number from a twenty-something number to make a teen number, using non-count by ones strategies
9
Add a single-digit number to a two-digit number, using non-count by ones strategies
Subtract a single-digit number from a two-digit number, using non-count by ones strategies
10
Add and subtract zero
11
Add 3 or more numbers using associativity and friends of 10
12
Investigate equivalent sentences involving addition and subtraction, describing the equals sign as equality
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Addition and Subtraction Concept
13
Add and subtract 2 tens numbers, including on a hundreds chart, counting forwards and backwards by 10s on the decade
14
Add 2 tens numbers that add to more than 100, by partitioning the tens number using friends of 100 and place value
Subtract a tens number from a tens number in the 100s, that subtract to less than 100, by partitioning tens number using friends of 100
and place value
15
Add and subtract tens numbers to and from two-digit numbers, including on a hundreds chart, counting forwards and backwards by 10s
off the decade
16
Add a tens number to a two-digit number that add to more than 100, by partitioning the tens number using friends of 10 and place value
Subtract a tens number from a one-hundred number, by partitioning the tens number using friends of 10 and place value
17
Add two-digit numbers, including to more than 100 using counting forwards by 10s, friends of 10, partitioning and place value
Subtract two-digit numbers using counting backwards by 10s, friends of 10, partitioning and place value
18
Add two-digit numbers that add to over 100, by partitioning tens and ones using friends of 10 and place value
Subtract a two-digit number from a number in the one hundreds, by partitioning tens and ones using friends of 10 and place value
19
Add and subtract coins and notes, count change
20
Partitioning numbers to understand the relationship between addition and subtraction including seeing difference in three ways and
missing number sentences
21
Solve problems involving addition or subtraction, represent a word problem as a number sentence and
writing a word problem to represent a number sentence
22
Add three- and four-digit numbers using mental strategies
Subtract three- and four-digit numbers using mental strategies
23
Solve missing and Equivalent Number Sentences, explaining equality and the relationship between Addition and Subtraction
24
Add and subtract money with up to four digits using mental strategies, including rounding total to the nearest 5 cents, then give change
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
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3
Addition and Subtraction Concept
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Add five-digit numbers, including as money, using mental strategies
Subtract five-digit numbers, including as money, using mental strategies
26
Add and subtract combinations of even and odd numbers, using the relationships to check calculations
27
Number patterns involving fractions, (halves, quarters and thirds), that increase through addition and decrease through subtraction
28
Record number sentences to represent additive problems, using partitioning to find unknown quantities
29
Exposure to formal written algorithms
30
Financial plans using a spreadsheet program, creating simple budgets and identifying GST component of invoices and receipts
31
Estimate and add and subtract fractions and mixed numerals with the same denominator
Number patterns that increase and decrease by adding and subtracting fractions and decimals
32
Add and subtract decimals using mental strategies
33
Estimate and add and subtract fractions and mixed numerals with related denominators using mental strategies
34
Number patterns that increase and decrease by adding and subtracting fractions and decimals, generalising and describing the rules
35
Solving additive problems on a number line involving negative numbers
36
Missing and equivalent number sentences using order of operations and grouping symbols
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
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