## Jumping Monkeys

Do ratios always make sense?

## Modeling Proportions

Use different models to explore proportional relationships.

## Relationships

What is the relationship in each pair of problems?

## Inverse Changes

How do percentages affect inverse proportions?

## Ratio of a+b to b+c

Determine the relationship between ratios.

## Exploring Rectangle Properties

Explore the relationship between increases in area and perimeter.

## Maximum Capacity

Determine how many adults and children can get on a ferry boat.

## Going to the Movies

Predict the cost of the movie tickets.

## Double Dollars

What is the fewest number of years until an investment doubles in value?

## Comparing Properties

Find the ratio of the volume of a cube to its surface area.

## Dreaming in a Lifetime

How many years has a 14 year old spent dreaming?

## Fair Share

If Trina and Mariel started painting at different times, what is Mariel’s fair share of the earnings?

## The National Debt

With a population of approximately 275 million people in the United States, what is your share of the national debt?

## The Final Score

Determine possible scores for missing math exams.

## Drinking Coca Cola

Determine the number of people in an initial sample of people taste testing their favorite soft drink.

## Magical Combinations

Determine why a procedure always lead to a certain result.

## Creating an Alloy

Determine how much manganese, carbon, and aluminum exist in an alloy.

## Altitude to the Hypotenuse

Find as many possible proportions that exist in a given situation.

## Inversely Proportional

How are inversely proportional relationships related?

## Double Trouble

Modify components of a square and determine if a proportional relationship exists.

## Proportional Rectangles

Determine if the relationship is proportional.

## Proportions and Graphs

Determine which problems are proportion problems and which are not.

## Side Splitter

Find a relationship between sides in two triangles.

## Shopping for Soup

Help Cathy figure out which soup is the best buy.

## Which Movie is Best?

How did these students decide which is the best movie?

## Segment Area Ratios

Find the relationship between the sides and areas of two triangles.

## Balancing the Centroid

Describe how a triangle’s median is divided.

## Building Roofs

Make a scale drawing of what a roof would look like.

## Which is Larger?

Consider the assumptions we make when we compare fractions.

## Ratios and Fractions

Determine the relationship between fractions and ratios.

## Rational or Irrational?

Determine whether ratios and fractions are rational or irrational.

## How Does Zero Fit In?

Where is it okay to use a zero in ratios and fractions?

## An Irrational Ratio

Consider a ratio formed by measurements in a circle.

## Ratios and Part-to-Whole Fractions

Look for differences between ratios and fractions.

## Trigonometry Ratios

Explain a general rule for determining the sine, cosine, and tangent of an angle in a right triangle.

## Ratio of Fibonacci

Use the Fibonacci’s sequence to examine ratios.

## Mathematical Football Players

Consider how the number of football players can be represented as fractions and ratios.

## Camera Lens Aperture

Looking at the inversely proportional relationship between camera aperture and f-stops in photography.

## Volume and Pressure

Looking at how inverse proportion relates to science.