Additional Investigations

Real World Ratios: Using the Internet, find examples of ratios.

Mathematics Football Players: Consider how the number of football players can be represented as fractions and ratios.

Ratio of Fibonacci: Use the Fibonacci's sequence to examine ratios.

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

Ratios and Part-to-Whole Fractions: Look for differences between ratios and fractions.

An Irrational Ratio: Consider a ratio formed by measurements in a circle.

How Does Zero Fit In?: Where is it okay to use a zero in ratios and fractions?

Rational or Irrational?: Determine whether ratios and fractions are rational or irrational.

Ratios and Fractions: Determine the relationship between fractions and ratios.

Which is larger?: Consider the assumptions we make when we compare fractions.

Building Roofs: Make a scale drawing of what a roof would look like.

Balancing the Centroid: Describe how a triangle's median is divided.

Segment Area Ratios: Find the relationship between the sides and areas of two triangles.

Which Movie is Best?: How did these students decide which is the best movie?

Shopping for Soup: Help Cathy figure out which soup is the best buy.

Side Splitter: Find a relationship between sides in two triangles.

Proportions and Graphs: Determine which problems are proportion problems and which are not.

Proportional Rectangles: Determine if the relationship is proportional.

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

Inversely Proportional: How are inversely proportional relationships related?

Camera Lens Aperture: Use camera lenses to think about inversely proportional relationships.

Volume and Pressure: Use Boyle's law to think about inversely proportional relationships.

Altitude to the Hypotenuse: Find as many possible proportions that exist in a given situation.

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

Magical Combinations: Determine why a procedure always lead to a certain result.

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

The Final Score: Determine possible scores for missing math exams.

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

Fair Share: If Trina and Mariel started painting at different times, what is Mariel's fair share of the earnings?

Dreaming in a Lifetime: How many years has a 14 year old spent dreaming?

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

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

Going to the Movies: Predict the cost of the movie tickets.

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

Exploring Rectangle Properties: Explore the relationship between increases in area and perimeter.

Ratio of a+b to b+c: Determine the relationship between ratios.

Inverse Changes: How do percentages affect inverse proportions

Relationships: What is the relationship in each pair of problems?

Modeling Proportions: Use different models to explore proportional relationships

Jumping Monkeys: Do ratios always make sense?

Submit your idea for an investigation to InterMath.