Primary

Foundations of Division


Chapter 1: Recalling the other three operations
LO 1: Revisiting quantities
LO 2: Counting (and measurement)
LO 3: Revisiting operations
LO 4: Limitations of addition
LO 5: Limitation of subtraction
LO 6: Multiple same subtrahend
LO 7: Is repeated subtraction common?

Chapter 2: Exploring repeated subtraction
LO 1: What may be the purpose of repeated subtraction?
LO 2: Nature of groups
LO 3: What can we do to make repeated subtraction faster?
LO 4: Just big repeat each time is enough?
LO 5: What’re the important information in repeated subtraction?
LO 6: What’s may be the more important information of the four information?

Chapter 3: Getting introduced to division
LO 1: Mathematically expressing repeated subtraction situations.
LO 2: Arithmetically expressing repeated subtraction situations as division.
LO 3: Visualising division expressions
LO 4: Interpreting division expressions
LO 5: Reading division expressions
LO 6: Why dividend is called dividend?
LO 7: Why divisor is called divisor?
LO 8: Why quotient is called quotient?
LO 9: Why remainder is called remainder?
LO 10: Define division in one simple, universally applicable, sentence.

Chapter 4: Introduction to division
LO 1: The existential need for division operation.
LO 2: Examples to introduce division to a grade II child
LO 3: How should division be learnt?
LO 4: A 27 When are children ready to learn division?
LO 5: Revisiting the relationship of division and multiplication.
LO 6: What actually happens when we divide a quantity?
LO 7: What is not division of a quantity of things?
LO 8: Why division is an important operation?

Chapter 5: Getting ready to divide
LO 1: How do we divide?
LO 2: Solving simple division expressions
LO 3: Exploring Dividend
LO 4: Exploring Divisor
LO 5: Exploring Quotient
LO 6: Exploring Remainder
LO 7: What is not divisible. And how to make divisible.
LO 6: Expressing situations using division

Chapter 6: Division – the process
LO 1: Visualizing Repeated subtraction
LO 2: Layers of divisors
LO 3: Advanced divisions
LO 4: Visualizing advanced divisions
LO 5: Relationship of operations
LO 6: Long division method
LO 7: Why do we divide numerals from the left?

Chapter 7: Revisiting Dividend, Divisor, Quotient, Remainder
LO 1: Investigating the relationship of Dividend and Divisor
LO 2: Investigating the relationship of Divisor and Quotient
LO 3: Investigating the relationship of Divisor and Remainder
LO 4: Investigating the relationship of Dividend and Quotient
LO 5: Investigating the relationship of Divisor, Quotient and Remainder
LO 6: Investigating the relationship of Divisor, Dividend and Remainder

Chapter 8: Applying the process
LO 1: Understanding 5/5.
LO 2: Explaining 5/0 and 0/5.
LO 3: Appreciating the difference between 3/8 and 8/3
LO 4: Understanding operations of division

Chapter 9: Division and the other three operations
LO 1: Examining 4 ÷ 2 x 3 ÷ 2 x 3
LO 2: Examining 3 x 4 ÷ 2 ÷ 2 x 3
LO 3: Examining 2 x 3 x 4 ÷ 3 ÷ 2 ÷ 1 ÷ 2
LO 4: Examining
LO 5: Examining

Chapter 10: The true nature of division
LO 1: Experiencing the true nature of division (4 ÷ 2 ÷ 2 x 3 x 2)
LO 2: Division is more than repeated subtraction
LO 3: Internalizing the difference between fraction and division

Epilogue