Question

1. represent and connect if the part shown is \\(\frac{3}{4}\\) of a flag, what could the whole flag look like? draw a picture and write a fraction to represent the whole. \\(\frac{3}{4}\\) think about what you know and what you need to find out. 6. jorge has \\(\frac{4}{8}\\) of the fabric he needs to make a costume for the party. his fabric is shown. draw a picture and write a fraction to represent the whole. 7. jens garden is 4 feet wide and 4 feet long. what is the area of jens garden? 8. gary has 63 counters. he puts them in an array with 9 columns. how many rows are there? 9. higher order thinking megan and mindy saw a plan for \\(\frac{2}{6}\\) of a playground. they each drew a picture of the whole playground. which drawing is not correct? tell how you know. \\(\frac{2}{6}\\) megan’s drawing mindy’s drawing 10. the picture shows \\(\frac{3}{4}\\) of the distance pedro lives from school. which shows the whole distance? 3.fr.1.1 a b c d 11. each of these parts is \\(\frac{1}{8}\\) of a different whole. which is part of the largest whole? 3.fr.1.1 a b c d

Explanation:

Problem 5

Step1: Identify the given fraction

The shown part is $\frac{3}{4}$ of the flag.

Step2: Define the whole flag

The whole flag has 4 equal parts, so the whole is $\frac{4}{4}$.
(Visual: Draw a flag split into 4 equal vertical rectangles, 3 shaded (matching the given part) and 1 unshaded, making 4 total parts.)

Problem 6

Step1: Identify the given fraction

Jorge has $\frac{4}{8}$ of the needed fabric.

Step2: Define the whole fabric

The whole fabric has 8 equal parts, so the whole is $\frac{8}{8}$.
(Visual: Draw a rectangle split into 8 equal sections, with 4 sections matching the given fabric pattern, and add 4 identical empty sections to make 8 total.)

Problem 7

Step1: Recall area formula for square

Area = length $\times$ width

Step2: Substitute given values

$\text{Area} = 4 \times 4 = 16$

Problem 8

Step1: Recall array row formula

Rows = total counters $\div$ columns

Step2: Substitute given values

$\text{Rows} = 63 \div 9 = 7$

Problem 9

Step1: Analyze the given fraction

$\frac{2}{6}$ means 2 out of 6 equal parts make the shown section.

Step2: Evaluate Megan's drawing

Megan's drawing has 6 equal triangular parts, matching the $\frac{2}{6}$ ratio.

Step3: Evaluate Mindy's drawing

Mindy's drawing has 6 unequal parts (the sections are not the same size), so it cannot represent $\frac{2}{6}$ of a whole.

Problem 10

Step1: Interpret the given fraction

The shown segment is $\frac{3}{4}$ of the whole distance, so the whole is 4 equal parts, with 3 parts matching the given length.

Step2: Match to the option

Option D is a segment that is $\frac{4}{3}$ the length of the given segment, representing the whole $\frac{4}{4}$.

Problem 11

Step1: Relate part size to whole size

If a part is $\frac{1}{8}$ of a whole, a smaller part means a larger whole.

Step2: Identify smallest part

Option C is the smallest part, so it is part of the largest whole.

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Answer:

1. Whole flag: Draw a flag with 4 equal vertical sections (3 shaded, 1 unshaded). Fraction for whole: $\frac{4}{4}$
2. Whole fabric: Draw a rectangle with 8 equal sections (4 with the given pattern, 4 identical empty). Fraction for whole: $\frac{8}{8}$
3. 16 square feet
4. 7 rows
5. Mindy's drawing is not correct. Her drawing does not have 6 equal parts, so it cannot represent a $\frac{2}{6}$ portion of a whole.
6. D. [The longest horizontal segment option]
7. C. [The small square option]