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Brainwave 4

Doing Your Block

base10
Briony was experimenting with Base 10 blocks. She discovered that 10 shorts = 1 long, 10 longs = 1 flat and 10 flats = 1 block.
How many shorts did she need to make one block?

How many blocks would one million shorts make?

How far would these blocks reach in one line? Answer these in metres and/or centimetres.

Ext: Can you mark out somewhere in your school how far they would stretch. What measuring tools could you use?

How many blocks would you need to reach 1km?

How many shorts would you need to reach 1km?

Feature Solution

The feature solution for the problem came from Abbey, Emma & Taylah from Barham PS

Gold

What did you have to find out?
We had to experirment with base ten blocks and answer a series of questions with shorts, tens, flats and blocks.

What materials did you use?
We used base ten blocks, pencils, math booklets, calculators and our heads.

How did you think? What strategies did you use? How did you solve this problem?
We used a lots of timing and plusing and using the shorts, longs, flats and blocks made it easier. We recorded all the answers in our book before coming on the internet. Calculators also made it easier for us.

What answers did you come up with?
Question 1. We knew 10 flats equalled 1 block and that there were one hundred shorts in a flat so we times ten and one hundred to come up with our answer which is 1000.

Question 2. One thousand shorts equalled 1 block so we figured that one million shorts would make 1000 blocks. We noticed a pattern eg 2000 shorts equalled two blocks.

Question 3. We used calculators to times 1000 by 10 to get our answer of 10,000cm (100m) which in our play ground equalled to our 100m sprint track.

Question 4. We knew 1000 metres equalled 1km so using our heads we figured the answer was 10,000 blocks to make 1km.

Question 5. Using our knowledge we simply used a calculator to figure our answer of 100,000 shorts to make 1 km. This is the same distance as the Yr2 students run in cross country.


Silver

Commendable contributors to the problem were:
Patric & Tom; Sarah & Gina from Lord Howe Island CS
Year 4 from Tottenham CS
Mahalia, Libby, Sebastian & Taite from Moama PS
Frank & Clarence; Daniel & Jason; Daniel from Carlton PS

 

Bronze
Solutions were also sent in by:
Grace & Jessica; Amy; Emily & Gabby from Carlton PS
Stephanie; Sarah; Jeremy from Wyalong PS
Rehan from Abbotsford PS
Taylah from Sandon PS