Understanding fractions (age 9+)
Construct and present logical mathematical arguments involving multiple steps; critique others' reasoning about fractions, angles, or calculations and clearly explain errors or alternative methods
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“If your child and a classmate solve the same maths problem differently, can your child compare the two approaches, explain which method is more efficient, and identify any errors in either working?”
Full guide and materials
- Activity. Construct and present logical mathematical arguments involving multiple steps; critique others' reasoning about fractions, angles, or calculations and clearly explain errors or alternative methods
What to notice. Prove that 3/4 > 2/3 using a common denominator argument and a visual model • Find and explain an error in a long multiplication where a partial product was misaligned • Present a chain of reasoning to show that angles in a triangle sum to 180° by tearing and arranging
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If your child and a classmate solve the same maths problem differently, can your child compare the two approaches, explain which method is more efficient, and identify any errors in either working?
Construct and present logical mathematical arguments involving multiple steps; critique others' reasoning about fractions, angles, or calculations and clearly explain errors or alternative methods
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Check understanding
- Prove that 3/4 > 2/3 using a common denominator argument and a visual model
- Find and explain an error in a long multiplication where a partial product was misaligned
- Present a chain of reasoning to show that angles in a triangle sum to 180° by tearing and arranging
“If your child and a classmate solve the same maths problem differently, can your child compare the two approaches, explain which method is more efficient, and identify any errors in either working?”
Curriculum record
- Type
- Meta
- Subject
- Mathematics
- Domain
- Mathematical Thinking
- Age range
- Ages 9–10