3.2 – Solve this Problem
- This topic has 6 replies, 6 voices, and was last updated 1 month, 3 weeks ago by
karend.
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Knight Agency
KeymasterOctober 7, 2022 at 12:00 pm #2332Put these fractions in order from least to greatest:
2/3, 1/6, 3/5, 2/8
As you solve the problem, think about what conceptual understanding students need to be successful. Share your ideas here.
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bjshaw3
ParticipantNovember 16, 2022 at 10:34 pm #24251/6, 2/8, 3/5, 2/3
To be successful in solving this problem, students need to conceptually understand that a fraction is a part of a whole and that the denominator does not necessarily define the size of the whole, but rather how many pieces the whole is partitioned into.
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williamcorrtez
ParticipantNovember 18, 2022 at 10:58 am #24371/6; 2/8; 3/5; 2/3
As my colleague says, it is necessary for students to understand that a fraction is part of a whole and that the denominator does not necessarily define the size of the whole, but rather how many parts the whole is divided into.
That is why for them to be able to visualize this concept, I draw a rectangle of the same size and divide it according to the indicated fraction.
In this case, I draw 4 rectangles of the same size and divide each one according to the denominator of the indicated fraction. This is how they can see that 1/6 is less than 2/3, because the 2/3 rectangle is more “painted” than the 1/6 rectangle, even though both are the same size. -
williwoodz
ParticipantMarch 25, 2023 at 2:23 pm #3172Understanding that a fraction is part of a whole is essential. Dividing 4 rectangles according to the denominator and shading the numerator shows the solution.
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marialignos
ParticipantJuly 9, 2023 at 1:38 pm #3874I would make pies for each of the fractions. and as williwoodz stated the amount of slices would be the denominator and then I would have them shade the numerator.
This should reinforce the concept that a fraction is part of the whole. -
tammy.metz
ParticipantJuly 28, 2023 at 11:59 am #39151/6, 2/8, 3/5, 2/3
It is important for students to understand that a fraction is part of a whole. They also need to make sure they are aware that the denominator shows how many parts the whole is divided into. What would be helpful for them to understand is that the closer the numerator and denominator are to each other, the larger the fraction and the farther apart the two numbers are…the smaller the fraction.
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karend
ParticipantJuly 16, 2024 at 3:15 pm #11455To teach fractions, I will use manipulative objects, so that my students can see and understand why the fractions are ordered the way they are. This will allow my students to then talk about how they understand how to solve the problem according to what they know. I can observe their explanations and correct where needed.
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