Category

Number Patterns

Up and down staircase pattern.

https://nrich.maths.org/2283

Rule up a table in your book to show your findings.

No. of steps

No. of blocks

1 step

1 block

2 steps

4 blocks

   

*the pattern is step x step

Eg. 4 steps will be 4 x 4 = 16 blocks needed. 

*need unifix

Then:

Could complete the up and down steps task first and then onto this one..

No up and down stairs, just up. Is there a pattern?

What is the 10th term, 15th etc. can you work it out without making or drawing the steps? Record your results in a table like the one below. 

No. of steps

No. of blocks

1

1

2

3

En – will need to build/draw the steps to calculate.

  • Do each step sequentially.

Ex – make predictions before calculations. Were you right?

 

  • Explain how you would work out the number of blocks needed to build a staircase with any number of steps.