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Level Three > Number and Algebra

Rolling Problems

Purpose: 

In this activity we work with four digit numbers, adding and subtracting 1, 10, 100 and 1000 to these.

Specific Learning Outcomes: 

add and subtract the numbers 1, 10, 100 and 1000 to four digit numbers

Required Resource Materials: 
Two dice: * one with number operations: +,+,+,-,-,-, one with numbers: 1, 10, 10, 100, 100, 1000 * Blackboard or whiteboard
Activity: 
  1. Write a 4 digit number on the board, for example:
  2. 3067

  3. Ask a volunteer to roll the two dice and write the resulting problem beside the original number. For example if the dice showed +  and 100:

    3067 + 100 =

  4. Ask the students what the answer is, getting them to explain their thinking. Record the answer.
  5. 3067 + 100 = 3167

  6. Roll the dice again and repeat, using the previous answer as the starting point.

    3067 + 100 = 3167
    3167 – 1000 = 2167
    2167 – 10 = 2157 etc.
  7. Repeat the activity with a different starting number.

Extension:

Once students are familiar with this activity they can be provided with a string of numbers and asked what the dice must have rolled to come up with these answers.
For example:

4582
4482                                dice must have rolled – and 100
5482                                dice must have rolled + and 1000
5481                                dice must have rolled – and 1 etc.


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