Math Patterns Using Kaeru - Origami Jumping Frogs

This week the students worked with patterns in numbers using origami jumping frogs.

For the first pattern, each student jumped his/her frog twice along a metre tape to determine a jump sequence.  The jump sequence was then repeated to create a pattern and plotted on a number line. Using the number line and mathematical equations, each student was then to determine how many times the jump sequence would repeat in 200 cm and in 500 cm.  It looked like this.

For the second pattern, each student launched his/her frog off of a lily pad to land on a 100 chart. Using the number on which the frog landed, the students were then to calculate, using a specified pattern, how many more jumps the frog would need to make to get to 100.  For example, if the frog landed on 65, the equation for the number of jumps the frog needed to complete to get to 100 would look like this:  (3x10) + 5 = 35 jumps.  And to check the answer:  100 - 65 = 35.  The launch pad looked like this.