Home | Number Concept | Ratio | Additional Investigations

 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.