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Division objectives

Gaps and Misconceptions Tool by Devon LDP

The Gaps and Misconceptions Tool was developed by Devon LDP ©2011 and has been made available here by kind permission.

Research references: Devon Learning and Development Partnership

Each objective is linked to a probing question. Each probing question has been written to expose a gap in understanding or misconception. There are links to a number of images/models which will illustrate how to address these gaps and misconceptions.

Year
Group		  
Objective		 Diagnostic
Question
2
3

1999 FWK • Y2 Y3: Understand division as grouping (repeated subtraction) or sharing [p49 s5]

2006 FWK • Y2: Represent...repeated subtraction (grouping) as division

2006 FWK • Y3: Understand that division is the inverse of multiplication

 Div Q01
3

1999 FWK • Y3: Recognize division as the inverse of multiplication [p49]

2006 FWK • Y3: Understand that division is the inverse of multiplication

 Div Q02
3
4
5
6

1999 FWK • Y3 Y4 Y5 Y6: Understanding the effect of and use the relationships between multiplication and division and the principles of the arithmetic laws [p54 s6 & p55 s6]

2006 FWK • Y3: Understand that division is the inverse of multiplication; use this to derive and record related multiplication and division number sentences.

2006 FWK • Y6 (progression to Y7): Understand how the commutative, associative and distributive laws, and the relationships between operations, including inverse operations can be used to calculate more efficiently

 Div Q03
3
4
5
6

1999 FWK • Y3 Y4 Y5 Y6: Find remainders after division [p51 s5; p56 s6; p57 s6]

2006 FWK • Y3: Use practical and informal written methods to divide two-digit numbers; round remainders up or down depending on the context

2006 FWK • Y4: Develop and use written methods to support and explain division of two-digit number by one-digit number,including division with remainders

 Div Q04
5
6

1999 FWK • Y5 Y6: (Begin to) express the quotient as a fraction or as a decimal (when dividing a whole number by 2, 4, 5 or 100) [p57 s6]

2006 FWK • Y6: Use efficient written methods to divide integers and decimals by a one-digit integer

 Div Q05
3
4
5
6

1999 FWK • Y3 Y4 Y5 Y6: Use known facts and place value to divide mentally [p57 s5 & p65 s6]

2006 FWK • Y3: Use practical and informal written methods to divide two-digit numbers

2006 FWK • Y4: Develop and use written methods to record, support and explain division of two-digit numbers by one-digit numbers

2006 FWK • Y5: Refine and use efficient written methods to divide HTU by U

2006 FWK • Y6: Calculate mentally with integers and decimals

 Div Q06
3
4
5
6

1999 FWK • Y3 Y4 Y5 Y6: Choose and use appropriate ways of calculating [p61 s5 & p74 s6 & p75 s6]

2006 FWK • Y4 Y5 Y6: Choose and carry out appropriate calculations, using calculator methods where appropriate

 Div Q07
Gaps and Misconceptions Tool by Devon LDP

The Gaps and Misconceptions Tool was developed by Devon LDP ©2011 and has been made available here by kind permission.

Research references: Devon Learning and Development Partnership

Association of Teachers of Mathematics

Gapsmis

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