How does the ability to compare fractions with the same numerator or the same denominator enhance our understanding of their sizes and relationships?
Critical Thinking: Students use critical thinking to analyze and compare fractions, understanding their relationships and sizes.
Communication: Students articulate the reasoning behind their comparisons of fractions, enhancing their mathematical communication skills.
Collaboration: Working in teams, students leverage each other’s understanding to deepen their collective knowledge of fraction comparisons.
How do fractions with the same numerator but different denominators compare in size?
How do fractions with the same denominator but different numerators compare in size?
Why is it important to use the same whole when comparing fractions?
Students will be able to compare and order fractions with the same numerators or denominators.
Students will understand the impact of numerator and denominator sizes on the fraction's value.
Students will be able to correctly compare fractions by ensuring they reference the same whole.
Standard
3.NF.A.3.D: Compare two fractions with the same numerator or the same denominator by reasoning about their size. Understand that comparisons are valid only when the two fractions refer to the same whole. Recognize that comparisons of fractions are not valid when they refer to different wholes.
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