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 ParttoWhole 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.
