Why is understanding equivalent fractions and comparing fractions important in real-life situations?
Adaptive Perseverance: Applying different strategies to understand fraction equivalence.
Critical Thinking: Analyzing and comparing fractions to make informed decisions.
Global Citizenship: Understanding how fractions are used in various real-world contexts and cultures.
Collaboration: Working in groups to solve fraction comparison problems and share strategies.
How can we use visual models to find equivalent fractions?
In what ways can comparing fractions help us make decisions?
How do equivalent fractions appear in everyday life?
Students will create visual fraction models to explain and identify equivalent fractions.
Students will compare two fractions with different numerators and denominators, using benchmarks and visual models.
Students will apply their understanding of fractions to solve real-world problems.
4.NF.A.1
Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
4.NF.A.2
Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
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