How does understanding multiplication as scaling change the way we see numbers and measurements in the world around us?
Critical Thinking: Students will engage in critical thinking by analyzing how scaling changes measurements and applying this understanding to solve problems.
Adaptive Perseverance: Students will encounter and overcome challenges in applying scaling to various contexts, fostering resilience and adaptability.
Communication: Students will articulate their understanding of scaling and its applications, improving their mathematical communication skills.
Learner’s Mindset: By exploring real-world applications of scaling, students will cultivate a mindset of curiosity and continuous learning.
What examples of scaling can we find in everyday life?
How does scaling affect the size, area, or volume of objects?
How can we use multiplication to accurately scale objects or quantities?
Students will explain and demonstrate the concept of multiplication as scaling.
Students will apply scaling to solve real-world mathematical problems.
Students will evaluate the effects of scaling on measurements and dimensions.
4.NF.B.5
Interpret multiplication as scaling (resizing), by:
Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.
Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n × a)/(n × b) to the effect of multiplying a/b by 1.
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