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PAT Maths Plus, Test 6, Q4

Linked from: Number and Algebra: Money and financial mathematics 115-124

Content strand: Number and Algebra

PAT Maths scale score: 116.7*
* (adjusted to the PAT Maths 4th Edition scale)

PAT Maths descriptor: Use coins to show change from $30.00.


Prerequisites

  • Reading and interpreting word problems (Concept builder) 
  • Subtraction strategies (Concept builder) 
  • Understanding money amounts (Concept builder) 
  • Change from $1 and $2 (Concept builder) 

Primary image for question PAT Maths Plus, Test 6, Q4

Common errors and misconceptions

Key A:

 

 

Option reasoning

A Key
B


(may have miscalculated the dollar value by one dollar too much, but the number of cents is correct)
Newman processing error

C
(may have miscalculated the cents by matching the number of cents to the question value, but dollar value is correct) Newman reading/decoding and comprehension error
D
(may have miscalculated the dollar value by one dollar too much and matched the number of cents to the question value)
Newman reading/decoding and comprehension error
E
(may have miscalculated the dollar value by one dollar too little, but the cents value is correct)
Newman processing error

Key concepts and skills

  • Recognising English words that imply a subtraction or count on operation
  • Calculating the amount of change from a multiple of 10 dollars
  • Identification of correct change as a set of coins
  • Counting on or subtraction strategies for finding the correct change

Linked concept builders

  • Change from larger amounts (Concept builder)
  • Identifying which operation to use in a word problem (Concept builder)
  • Newman's error analysis (Concept builder)

Moving forward

  • Problem solving with money (Concept builder)