How do multiple fractions of the same size build upon each other on a number line to enhance our understanding of fractions as quantities?
Critical Thinking: Analyze how fractions can be represented on a number line and understand their quantitative relationships.
Learner’s Mindset: Embrace the exploration of fractions on a number line as a means to deepen understanding of mathematical concepts.
Communication: Clearly articulate how fractions are represented on a number line and explain their quantitative relationships.
How can we represent a fraction greater than 1/b on a number line?
What does the distance between fractions on a number line tell us about their size and relationship?
How does the concept of equivalent fractions apply to the number line?
Students will accurately represent fractions a/b on a number line by marking off a parts of size 1/b.
Students will analyze the relationship between fractions by examining their placement and distance on the number line.
Students will use number lines to demonstrate understanding of equivalent fractions and how fractions build upon each other to form larger quantities.
Standard
3.NF.A.2.B: Understand a fraction a/b on a number line diagram as the quantity formed by a parts of size 1/b.
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