## Preparation
## Getting Started
or you can put a note in your journal to come back and try these another time. ## Tablecloth FractionsThis problem has been about a whole piece of cloth that is folded into equal parts. Whenever there is a whole thing with equal parts the language of fractions can be used. Fraction language - half, third, quarter, fifth, sixth, seventh and so on - is the language of parts of whole. The language tells you the number of parts.- Find a whole piece of blank A4 paper.
- Put it in front of you on the table the landscape way.
- Pretend it is Doug's Tablecloth and fold it the way you did to get it into the drawer. Press each fold down hard.
- Sketch the unfolded paper in your journal and dot in the fold marks.
Open up the paper and keep it landscape. Rows of boxes (also called cells) go across your tummy. Rows always go across your tummy. - Hold your pencil across the top row.
- Slide it down counting the rows as you go ... 1, 2, 3, 4.
- There are four rows.
- The rows divide the whole piece of paper into 4 equal parts.
- In fraction language, the rows divide the whole paper into quarters (or fourths).
- Hold your pencil across the top row again.
- This time slide it down and count by quarters ...
1 quarter 2 quarters (or one ...) 3 quarters 4 quarters (or ... or ...)
- Hold your pencil up the left column.
- Slide it across counting the columns as you go ... 1, 2, 3, 4, 5, 6.
- There are six columns.
- The columns divide the whole piece of paper into 6 equal parts.
- In fraction language, the columns divide the whole paper into sixths.
- Hold your pencil up the left column again.
- This time slide it across and count by sixths ...
1 sixth 2 sixths (or one ...) 3 sixths (or one ...) 4 sixths (or two ...) 5 sixths 6 sixths (or ...)
- How many cells are there in the whole piece of paper?
- The cells divide the whole piece of paper into ... equal parts.
- Each cell has the same fraction name. Each is one ... of the whole.
Beside the sketch of your folded paper write all the fraction equations you can find in your diagram. Different Fractions - Fold a piece of A4 paper so it shows halves and thirds.
- Sketch it and write all the fraction equations you can find in it.
- Fold a piece of A4 paper so it shows thirds and fourths.
- Sketch it and write all the fraction equations you can find in it.
## Folds & CreasesYou will need someone to help you with this activity because you have to close your eyes and imagine while they read out the instructions.- Print this Investigation Guide.
- Work through the questions. You might discover some patterns. A mathematician is always looking for patterns.
- You can write on the sheet then stick in your journal. Or you can write the answers straight into your journal.
## Just Before You Finish- Draw a face to show how you feel about this activity.
- Add a speech bubble that tells what you learnt.
- Read your Working Like A Mathematician page again and write two or more sentences explaining how you worked like a mathematician in this activity.
## Answers & DiscussionThese notes were originally written for teachers. We have included them to support parents to help their child learn from Doug's Tablecloth.- Notes for Doug's Tablecloth
Send any comments or photos about this activity and we can start a gallery here.
Maths At Home is a division of Mathematics Centre |