Jumping Monkeys

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Do ratios always make sense?

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Modeling Proportions

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Use different models to explore proportional relationships.

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Relationships

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What is the relationship in each pair of problems?

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Inverse Changes

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How do percentages affect inverse proportions?

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Ratio of a+b to b+c

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Determine the relationship between ratios.

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Exploring Rectangle Properties

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Explore the relationship between increases in area and perimeter.

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Maximum Capacity

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

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Going to the Movies

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Predict the cost of the movie tickets.

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Double Dollars

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

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Comparing Properties

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

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Dreaming in a Lifetime

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How many years has a 14 year old spent dreaming?

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Fair Share

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

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The National Debt

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

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The Final Score

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Determine possible scores for missing math exams.

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Drinking Coca Cola

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

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Magical Combinations

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Determine why a procedure always lead to a certain result.

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Creating an Alloy

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

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Altitude to the Hypotenuse

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

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Inversely Proportional

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How are inversely proportional relationships related?

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Double Trouble

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

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Proportional Rectangles

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Determine if the relationship is proportional.

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Proportions and Graphs

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Determine which problems are proportion problems and which are not.

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Side Splitter

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Find a relationship between sides in two triangles.

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Shopping for Soup

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Help Cathy figure out which soup is the best buy.

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Which Movie is Best?

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How did these students decide which is the best movie?

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Segment Area Ratios

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

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Balancing the Centroid

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Describe how a triangle’s median is divided.

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Building Roofs

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

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Which is Larger?

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Consider the assumptions we make when we compare fractions.

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Ratios and Fractions

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Determine the relationship between fractions and ratios.

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Rational or Irrational?

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Determine whether ratios and fractions are rational or irrational.

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How Does Zero Fit In?

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

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An Irrational Ratio

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Consider a ratio formed by measurements in a circle.

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Ratios and Part-to-Whole Fractions

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Look for differences between ratios and fractions.

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Trigonometry Ratios

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

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Ratio of Fibonacci

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Use the Fibonacci’s sequence to examine ratios.

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Mathematical Football Players

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

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Camera Lens Aperture

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

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Volume and Pressure

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Looking at how inverse proportion relates to science.

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