Here is a collection of number sense activities. A calculator could be used to check reasoning. In each activity, there is more than one way to figure out a response without using a calculator.

Approach 1: Whole class activity. Have the class work in pairs or groups and answer to the whole class.

Approach 2: Mathematical Distraction. During individual work (regular class work), or as a homework, invite students to write their solution to a number sense activity on the board. Review responses and reasons at an appropriate time in the class.

**Number Sense Activity 1:**

Compare the first five powers of 4 with the first ten powers of 2. Explain the pattern. Choose various values of and such that the following equation is true:

**Number Sense Activity 2:**

Write three different equations, choosing values for and carefully such that the equation

is true. Check your equations with a calculator.

**Number Sense Activity 3:**

Which one of the following is true:

**Number Sense Activity 4:**

Which is bigger;

or

**Number Sense Activity 5**

Put the values in the correct place in the table

Ball park |
Value |

Between 0 and 0.5 | |

Between 0.5 and 1 | |

More than 1 | . |

**Number Sense Activity 6:**

Which is bigger,

or

?

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