Comparing Fractions: Grade 3

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Questions and Answers

দুইটি রুটিকে প্রথমে ৪ ভাগে ভাগ করে ৩ ভাগ দেওয়া হলো। আবার অন্য একটি রুটিকে প্রথমে ২ ভাগে ভাগ করে ১ ভাগ দেয়া হলো। তাহলে কোন রুটি বেশি দেওয়া হলো?

Cannot be determined
Both are equal
The first roti (correct)
The second roti

দুটি একই আকারের পিজ্জা আছে। প্রথম পিজ্জাটিকে ৬ ভাগে ভাগ করে ৫ ভাগ খাওয়া হলো। দ্বিতীয় পিজ্জাটিকে ৩ ভাগে ভাগ করে ২ ভাগ খাওয়া হলো। তাহলে কোন পিজ্জা বেশি খাওয়া হলো?

Cannot be determined
First pizza (correct)
Second pizza
Both are equal

Which fraction is larger if you have one cake cut into 8 slices and you take 3, compared to another identical cake cut into 4 slices and you take 1?

You can't compare them
1/4 is larger than 3/8
3/8 is larger than 1/4 (correct)
They are equal

Lisa and Mark each have a chocolate bar of the same size. Lisa eats 2/4 of her bar, and Mark eats 1/2 of his bar. Who ate more?

They ate the same amount (C) Signup and view all the answers

Imagine two pizzas of the same size. One is cut into 6 slices, and the other is cut into 8 slices. If you take 2 slices from the pizza with 6 slices and 2 slices from the pizza with 8 slices, which amount is more?

2 slices from the pizza cut into 6 (C) Signup and view all the answers

Ben has a square chocolate divided into 9 equal pieces, and he eats 4 of them. Sarah has a square chocolate of the same size divided into 3 equal pieces, and she eats 1 of them. Who ate more chocolate?

Ben (A) Signup and view all the answers

You have two equal-sized rectangles. One is divided into 5 equal parts, and 2 parts are shaded. The other is divided into 10 equal parts. How many parts need to be shaded in the second rectangle to represent the same fraction as the first?

4 (D) Signup and view all the answers

Two identical pies are presented: One is cut into 12 slices and 4 slices are taken, and the other is cut into 6 slices. How many slices need to be taken from the second pie for both people to have taken the same amount?

2 (C) Signup and view all the answers

Which of the following represents the largest portion of a pizza, assuming all pizzas are the same size?

3/4 of the pizza (C) Signup and view all the answers

Two classes are promised a pizza party if they get 3/5 of students to attend a school event. If there are pictures divided into sections to represent the students, which class fulfilled this requirement?

Class B shows 9 out of 15 students (A) Signup and view all the answers

Flashcards

What is a fraction?

A number representing part of a whole or, more generally, any number of equal parts.

What are fraction pictures?

A visual way to understand fractions by using shapes divided into equal parts, with some parts shaded.

What does 'comparing fractions' mean?

Comparing fractions means determining which fraction is larger or smaller, or if they are equal.

How to compare fractions with the same denominator?

When two fractions have the same denominator (the bottom number), the fraction with the larger numerator (top number) is bigger.

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How do you compare fractions using pictures?

When comparing fraction pictures, look at how much of each shape is shaded. The shape with more shaded is the larger fraction.

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Study Notes

Comparing fractions involves determining which fraction represents a larger or smaller portion of a whole.
Visual aids like pictures or manipulatives (e.g., fraction bars, circles) help 3rd graders understand the concept.

Using Pictures

Pictures can represent fractions by dividing a shape (like a circle or rectangle) into equal parts.
The denominator indicates the total number of equal parts.
The numerator indicates how many of those parts are being considered.
To compare fractions with the same denominator, look at the numerators: the fraction with the larger numerator is the larger fraction.
To compare fractions with the same numerator, look at the denominators: the fraction with the smaller denominator is the larger fraction.
When comparing fractions with different numerators and denominators, pictures can help visualize which fraction covers more area.
For example, if a circle is divided into 4 equal parts, and 1 part is shaded, it represents 1/4. If another identical circle is divided into 2 equal parts, and 1 part is shaded, it represents 1/2. Visually, 1/2 is larger than 1/4.

Using Manipulatives

Manipulatives, like fraction bars or fraction circles, are physical objects that represent fractions.
Fraction bars are rectangles divided into equal parts, with each part representing a fraction.
Fraction circles are circles divided into equal parts, with each section representing a fraction.
Students can physically compare the size of different fraction pieces to determine which fraction is larger.
For example, a 1/3 fraction bar can be directly compared to a 1/2 fraction bar to see that 1/2 is larger.
These hands-on tools help students understand the relative sizes of fractions.

Creating Multiple Choice Questions

A good multiple-choice question will have one correct answer and several plausible but incorrect answer choices (distractors).
The question should be clear and concise.
Include a visual representation of the fractions being compared.
The question should directly ask which fraction is larger, smaller, or if they are equal.

Example Multiple Choice Question

Which pizza has more slices eaten?

[Picture A: A pizza divided into 4 slices, 1 slice is missing] [Picture B: A pizza divided into 8 slices, 1 slice is missing]

Which statement is correct?

A: Pizza A has more slices eaten.
B: Pizza B has more slices eaten.
C: Both pizzas have the same amount of slices eaten.
D: Pizza A has less slices eaten. (Correct Answer)

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