Describe the patterns used in the tables in Activities 2 and 3.

Find the least common multiple of the given set of numbers.

$$3,9,15$$

An artist is using three different colors in a mosaic. The ratio of green to blue to yellow color tiles in the mosaic is 4: 6: 9. She has 42 blue tiles to use. How many green and yellow tiles does she need?

How does finding the greatest common factor help you to solve real-world problems?

Find the GCF of given set of numbers. $32$ and $52$.

Write a real-world problem using ratios or rates that.could be represented on the coordinate plane.

The table below shows the amount in Josiah's account each week. List the information as ordered pairs and then graph the ordered pairs. Describe the pattern in the graph.

Josiah's Savings

Find the least common multiple of the given set of numbers.

$$6,12,15$$

Joshua's cousin pledged $\$12$ for a charity walk. If Joshua walked $3$ miles, how much did his cousin pay per mile?

An airplane has flown $260$ miles out of a total trip of $500$ miles. What fraction, in simplest farm of the trip has been completed?

Work with a partner. Use a multiplication table to solve the following problem. Evie wants groups of $3$ notebooks and $5$ pens. She already has $12$ notebooks. How many pens will she need?

How are rates and ratios related?

The golden rectangle is a rectangle in which the ratio of the length to the width is approximately 1,618 to 1. This ratio is called the golden ratio.

a. Make a ratio table to show the approximate lengths of golden rectangles given widths that are 1,2,3, and 4 units. List the information as ordered pairs (length, width).

b. Graph the ordered pairs on the coordinate plane.

c. How does the area of each rectangle change as the dimensions change?

The comparison of miles to hours in Activity $1$ is $14:2$, which can be reduced to $7:1$. How is simplifying similar to division?