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;
Number Sense Activity 5
Put the values in the correct place in the table
|Between 0 and 0.5|
|Between 0.5 and 1|
|More than 1||.|
Number Sense Activity 6:
Which is bigger,
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