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