Activity for linear Relations: Does the Cat catch the mouse?

Does the cat catch the mouse Grade level of activity: Grade 9 Course used for: MPM 1D (Academic) Ontario Curriculum expectations addressed: construct tables of values, graphs, and equations, using a variety of tools (e.g., graphing calculators, spreadsheets, graphing software,paper and pencil),to represent linear relations derived from descriptions of realistic situations (Sample problem: Construct a table of values, a graph, and an equation to represent a monthly cellphone plan that costs $25,plus $0.10 per minute of airtime.); describe a situation that would explain the events illustrated by a given graph of a relationship between two variables determine other representations of…

Using high school math to work out the annual interest rate of Kobe Bryant’s brilliant investment

Kobe Bryant became a NBA legend with his smooth moves on the basketball court, it appears that he has some smooth moves off the court as well.  According to espn Kobe Bryant’s 6 million investment grew to become 2oo million in about four and a half years. http://www.espn.com/nba/story/_/id/24384862/kobe-bryant-6m-investment-sports-drink-now-worth-200m   An application of the mathematics taught in the 11th grade is to work out the annual interest rate of Bryant’s investment using the compound interest formula. The following article discusses what investors should consider a “good rate of return”, and suggests that 15% to 20% is high and too much to…

Can you solve the most famous math problem in English Literature? How many were going to St Ives?

The following trick question appeared in the early 19th century in a Mother Goose nursery rhyme: As I was going to St Ives, I met a man with seven wives, Every wife had seven sacks, Every sack had seven cats, Every cat had seven kits, Kits, cats, sacks, wives, How many were going to St. Ives? Answer: 2, 800 do you know how we get this answer?  

How the golden ratio and the Fibonacci sequence are connected

Recall that the golden ratio is a special irrational number that is approximately equal to 1.618.  It appears frequently in geometry, art, and architecture. Also recall that the Fibonacci sequence is the series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34 … Each number is found by adding up the two numbers before it.  For example 5 is found by adding 3 and 2. German Astronomer Johannes Kepler once wrote that “as 5 is to 8, so 8 is to 13, approximately, and as 8 is to 13, so 13 is to 21, approximately”.  What Kepler…

Phi, the number that helps us make beautiful art

The Golden Ratio (phi) There are several well known “irrational numbers”, which are numbers that cannot be expressed as a ratio between two numbers and it cannot be written as a simple fraction because there is not a finite number of numbers when written as a decimal.  When irrational numbers are written as decimals the decimal would go on forever without repeating.  An irrational number you are probably very familiar with is pi or Π which is equal to 3.14159265359 …. it is the irrational number that helps us understand everything that is circular.   Another irrational number you may have…