Exploring Anchor Task 1: Double Scoop Cones Assignment Help

Exploring Anchor Task 1: Double Scoop Cones Assignment Help

 

An ice cream shop sells different flavors of ice cream.  How many different ice cream cones can be made, if each ice cream cone has 2 scoops of ice cream?

 

Task #1

Assume the following constraints:

You can’t have two scoops of the same flavor (i.e., no vanilla-vanilla).

Order doesn’t matter (i.e., we count vanilla-chocolate and chocolate-vanilla as the same)

 

Solve the problem for 31 flavors of ice cream and explain your solution fully, using at least one diagram. You can use the solution for 6 flavors in your explanation. You may use ideas shared by colleagues.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Generalize! Use words, algebra and/or diagrams to represent the number of ice cream cones for any number of flavors.

 

 

 

 

 

 

 

 

 

Task #2

Change the constraints! How many different double-scoop cones can we make in each of the following situations? Explore these other sets of constraints for 6 flavors.
(Challenge: How many would there be for 31 flavors? Any number of flavors?)

You now can have two scoops of the same flavor (vanilla – vanilla) and you count strawberry-chocolate and chocolate-strawberry as different.

 

 

 

 

 

 

 

 

You still can’t have two scoops of the same flavor (vanilla – vanilla), but you count strawberry-chocolate and chocolate-strawberry as different.

 

 

 

 

 

 

 

 

 

You now can have two scoops of the same flavor (vanilla – vanilla), but you still count strawberry-chocolate and chocolate-strawberry as the same.

 

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