Open Middle®
Directions: Complete the story problem and answer statement.
Version 1 (Difficult)
Lucy has _____ apples. She has nine _____ (more/less) than Marcus. How many apples does _____ (Lucy/Marcus) have?
_____ (Lucy/Marcus) has _____ apples.
Version 2 (Medium Difficulty)
Lucy has _____ apples. She has nine less than Marcus. How many apples does _____ (Lucy/Marcus) have?
_____ (Lucy/Marcus) has _____ apples.
Version 3 (Easy)
Lucy has _____ apples. She has nine more than Marcus. How many apples does Marcus have?
Marcus has _____ apples.
Hint
Should you adjust how many apples Lucy has in the beginning?
How many apples does it make sense for Lucy to have in a “more” problem?
How many apples does it make sense for Lucy to have in a “less” problem?
Challenge: Complete the statement using only numbers within 20.
Answer
Lucy has 11 apples. She has nine more (more/less) than Marcus. How many apples does Marcus (Lucy/Marcus) have?
Marcus (Lucy/Marcus) has 2 apples.
Lucy has 12 apples. She has nine less (more/less) than Marcus. How many apples does Marcus (Lucy/Marcus) have?
Marcus (Lucy/Marcus) has 21 apples.
Source: Shelah Feldstein
This doesn’t seem to give enough information for a 2nd grader to understand what is being asked. This is 2 viable algebra.
I agree this is confusing for me let alone my daughter.
It’s an open ended question – you supply the numbers to make the statement correct. There are infinite correct answers and it’s supposed to be that way.
Version 1 (Difficult)
Lucy has __2__ apples. She has nine _less____ (more/less) than Marcus. How many apples does _Marcus____ (Lucy/Marcus) have?
_Marcus____ (Lucy/Marcus) has _11____ apples.
Version 2 (Medium Difficulty)
Lucy has _9____ apples. She has nine less than Marcus. How many apples does Marcus_____ (Lucy/Marcus) have?
Marcus_____ (Lucy/Marcus) has _18____ apples.
Version 3 (Easy)
Lucy has _99____ apples. She has nine more than Marcus. How many apples does Marcus have?
Marcus has __90___ apples.
Version 1 (Difficult)
Lucy has __19___ apples. She has nine _more____ (more/less) than Marcus. How many apples does _Marcus____ (Lucy/Marcus) have?
Marcus_____ (Lucy/Marcus) has _10__ apples.
Version 2 (Medium Difficulty)
Lucy has _17____ apples. She has nine less than Marcus. How many apples does Marcus_____ (Lucy/Marcus) have?
_Marcus____ (Lucy/Marcus) has 26___ apples.
Version 3 (Easy)
Lucy has __20___ apples. She has nine more than Marcus. How many apples does Marcus have?
Marcus has _11___ apples.
Version 1 (Difficult)
Udith’s answer:
Lucy has __19___ apples. She has nine _more____ (more/less) than Marcus. How many apples does _Marcus____ (Lucy/Marcus) have?
Marcus_____ (Lucy/Marcus) has _10__ apples.
Version 2 (Medium Difficulty)
Lucy has _17____ apples. She has nine less than Marcus. How many apples does Marcus_____ (Lucy/Marcus) have?
_Marcus____ (Lucy/Marcus) has 26___ apples.
Version 3 (Easy)
Lucy has __20___ apples. She has nine more than Marcus. How many apples does Marcus have?
Marcus has _11___ apples.
Version 1 (Difficult)
Lucy has __19___ apples. She has nine __more___ (more/less) than Marcus. How many apples does __Marcus___ (Lucy/Marcus) have?
__Marcus___ (Lucy/Marcus) has _10__ apples.
Version 2 (Medium Difficulty)
Lucy has __5___ apples. She has nine less than Marcus. How many apples does _Marcus____ (Lucy/Marcus) have?
_Marcus___ (Lucy/Marcus) has __14___ apples.
Version 3 (Easy)
Lucy has __11___ apples. She has nine more than Marcus. How many apples does Marcus have?
Marcus has __2___ apples.
lucy has 25 Apples. She has nine more than Marcus. How many apples does Marcos have? Marcus has 16 apples.
Lucy has 44 apples. She has nine less than Marcus. How many apples does Marcus have? Marcos has 53 apples. Lucy has 12 apples. She has 9 more than Marcus. How many apples does Marcus have? He has three apples.
version2:
lucy has 7 apples. she had 9 less than marcus. marcus has 16 apples.
she has 2 he has 12
Lucy has 2 Marcus has 12
lucy has 61 apples.she has 9 less than marcus has 90 apples.lucy has 29 apples.marcus has 20 apples.she has 9 more than marcus.how many apples does he has 20.marcus has 20 apples.
Lucy has 21 apples, Marcus has 30 apples
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