Primary

Foundations of Subtraction


Chapter 1: Revisiting the foundations
LO 1: Differentiating between numbers, numerals and digits
LO 2: Recognising the importance of unit (‘1’)
LO 3: Analysing multiple units
LO 4: Explaining importance of ‘like unit’
LO 5: Counting and comparing ‘unlike units’?
LO 6: Discussing the use of decimal number system
LO 7: Exploring ‘value of place’ in everyday living
LO 8: Identifying place value and face value of digits
LO 9: Visualising numbers in decimal number system
LO 10 Interpreting numbers as mixture of place value packets
LO 11: Experiencing set in the decimal number system

Chapter 2: Context of subtraction
LO 1: Recalling arithmetic operations
LO 2: Lessons from addition
LO 3: Lessons from multiplication
LO 4: Discovering the existential need for subtraction operation
LO 5: Listing examples of difference in daily life
LO 6: Comparing things for difference
LO 7: Knowing how to learn subtraction
LO 8: Preparing children to learn subtraction
LO 9: Elaborating subtraction as more varied, and complex operation

Chapter 3: Introduction to subtraction
LO 1: Discovering the common threads across ‘subtraction situations’
LO 2: Exploring ‘Takeaway’ situations
LO 3: Appreciating separation situations
LO 4: Understand comparison situations
LO 5: Knowing why 'what is left' is an important number?
LO 6: Satisfying if difference is the right term for all subtraction situations
LO 7: Expressing subtraction as a simple, universally acceptable narrative
LO 8: Being comfortable with ‘–’

Chapter 4: Macro subtraction process
LO 1: Visualising subtraction expressions
LO 2: Subtracting in pairs
LO 3: Subtracting like units
LO 4: Subtracting unlike units
LO 5: Detailing subtraction of unlike units
LO 6: Reasoning subtraction of unlike units
LO 7: Revisiting backward counting
LO 8: Visualising subtraction as backward skip counting

Chapter 5: Micro subtraction process
LO 1: Implementing simple subtraction expressions
LO 2: Exploring minuend
LO 3: Exploring subtrahend
LO 4: Exploring difference
LO 5: Investigating the difference between 8 – 1 – 1 and 8 – 2
LO 6: Reading 22 – 2 – 3 – 4 – 5 – 6
LO 7: Analysing 30 – 12 – 8 + 10 – 10 + 5
LO 8: Exploring 8 – 3, as comparison of 8 and 3
LO 9: Exploring 8 – 3, as ‘takeaway’ of 3 out of 8
LO 10: Exploring 8 – 3, as ‘separation’ 3 out of 8
LO 11: Appreciating 7 – 0, 0 – 7
LO 12: Detailing 7 - 7
LO 13: Exploring how 7 - 3 is different from 3 - 7
LO 14: Relating multiplication and repeated subtraction

Chapter 6: Macro subtraction operation
LO 1: Experiencing subtraction operation
LO 2: Knowing what borrow represents in subtraction
LO 3: Explaining why borrow is always ‘1’
LO 4: Appreciating that borrow can’t be the exact quantity needed
LO 5: Exploring the possible values of borrow
LO 6: Applying subtraction operation

Chapter 7: Micro subtraction operation
LO 1: Investigating subtraction of numerals from the right
LO 2: Subtracting multiple subtrahends
LO 3: Explaining cascade borrow
LO 4: Subtracting a bigger number from a smaller number