# Exponents: Number Sense Activities

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

?