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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 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 1 Addition and Subtraction Concept 1 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 4 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 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 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 YouTube: A Learning Place A Teaching Place Scan the QR Code Facebook: A Learning Place 3 Addition and Subtraction Concept 25 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 Scan the QR Code Facebook: A Learning Place 4