Question

lesson 1: projecting and scaling
learning goal: lets explore scaling!
activity 1: remembering fraction division
find each quotient.
write your answer as a fraction or a mixed number.
6\frac{1}{4} \div 2
10\frac{1}{7} \div 5
8\frac{1}{2} \div 11
activity 2: sorting rectangles

1. record each length and width of each rectangle in the table below:

rectangle	length of short side (inches)	length of long side (inches)	scaled copy of the original? yes or no
a
b
c
d
e

1. look at the measurements for the rectangles that are scaled copies of the full sheet of paper. what do you notice about the measurements of these rectangles?
2. look at the measurements for the rectangles that are not scaled copies of the full sheet. what do you notice about these measurements?

Explanation:

Step1: Convert mixed - number to improper fraction for $6\frac{1}{4}\div2$

$6\frac{1}{4}=\frac{6\times4 + 1}{4}=\frac{25}{4}$, then $\frac{25}{4}\div2=\frac{25}{4}\times\frac{1}{2}=\frac{25}{8}=3\frac{1}{8}$

Step2: Convert mixed - number to improper fraction for $10\frac{1}{7}\div5$

$10\frac{1}{7}=\frac{10\times7+1}{7}=\frac{71}{7}$, then $\frac{71}{7}\div5=\frac{71}{7}\times\frac{1}{5}=\frac{71}{35}=2\frac{1}{35}$

Step3: Convert mixed - number to improper fraction for $8\frac{1}{2}\div11$

$8\frac{1}{2}=\frac{8\times2 + 1}{2}=\frac{17}{2}$, then $\frac{17}{2}\div11=\frac{17}{2}\times\frac{1}{11}=\frac{17}{22}$

Since no side - length data is given for Activity 2, we can't answer the questions related to rectangles.

Answer:

$6\frac{1}{4}\div2 = 3\frac{1}{8}$
$10\frac{1}{7}\div5=2\frac{1}{35}$
$8\frac{1}{2}\div11=\frac{17}{22}$