Number practice

Follow and create steps

An algorithm is a set of precise steps.
CONCEPT

Record → add → test → repeat or stop.

Example: start at 5, record, add 5, stop if the new number is greater than 15.

Record 5, 10, 15. The next number is 20, so stop before recording it.

1Follow these steps. Write every recorded number.
  1. Start with 3.
  2. Record the current number.
  3. Add 3.
  4. Is the new number greater than 30? If yes, stop. If no, go back to step 2.

Describe the pattern.

2Explain the stopping decision.
a
Is 30 recorded in Question 1? Explain.
b
Is 33 recorded in Question 1? Explain.
3Create and test your own steps.

Record the 5 times-table numbers from 5 to 30, including 30. Write steps or draw a flowchart. Include a decision that tells you when to stop.

Use your steps. Write all recorded numbers.

4Find numbers shared by two patterns.

Which numbers appear in both your Question 1 and Question 3 lists?

Explain how you checked that you found every shared number in the lists.