## Preparation, then click the image to watch this 2min 32sec video Turn off your sound.
with someone else- Together, make a list of the things you saw.
- Watch the video again
to see if you want to add to your list.**without sound**
## Explaining The VideoTalk with each other to answer these questions in your journal:- The person in the background was using 24 bottle tops. What was she doing with them?
- When the third person came into the picture he had 24 bottle tops too? What was he doing with them?
- Suppose you had 24 bottle tops.
- What other number could you choose that would work?
- What other number could you choose that
**would not**work? - What number of bottle tops could you choose so that rows of five (5) would work?
your sound and watch the video again.
on- Do you want to add anything to your journal notes about the video?
## Learning About Rows
## Making & Breaking Your Own RectanglesNow it's your turn to choose a number and find all the ways it makes equal rows.- You can use your calculator to help if you want to.
- Record a drawing and the 'rows of' and 'times' for each way you find.
Have fun Making & Breaking Rectangles.
We suggest you do 2 or 3 numbers a day for 2 or 3 days each week for the next 2 or 3 weeks. ## Special RectanglesPrime Numbers can only make rectangles in two ways. They are: 1 row of ... and ... rows of 1.
- Write the smallest Prime Number.
- Find a Prime Number bigger than 40.
Square Numbers have a square as one of the rectangles they make.
- Write the smallest Square Number.
- Find a Square Number bigger than 50.
Factors are all the numbers used to make all the rectangles of a number. But you only write each number once.
- The children in the video found these factors of 24 ... 1, 2, 4, 6, 12, 24, but they didn't find 3 and 8.
- The complete set of factors for 24 is (1, 2, 3, 4, 6, 8, 12, 24). Twenty-four (24) has eight (8) factors.
- Go back through the numbers in your journal and write the set of factors for each number.
Note: If your school is a member of Maths300, your teacher can provide software, titled Tackling Time Tables, that will help you investigate this activity.
## Rectangles On Paper
## Extra Challenge: More About The HyperbolaThe hyperbola for 20 shows you all the factors of 20and every pair of numbers that multiply together to equal 20.
## ChallengeUse your calculator to help you find the number of rows of 4·5 to make 20.- That is you need to find the missing number in ... x 4·5 = 20
## Just Before You FinishFor this part you need your maths journal and your Working Like A Mathematician page.- Read again what it means to work like a mathematician.
- In your journal, finish this paragraph:
*Working with Making & Breaking Rectangles I was a successful mathematician because...* - Explain any maths you think you will be better at now because you tried this activity.
## Answers & DiscussionThese notes were originally written for teachers. They have been adapted and shared from the Members section of Calculating Changes, which is a division of Mathematics Centre. If you need more explanation of anything in this activity you can send an email to doug@blackdouglas.com.au.
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Maths At Home is a division of Mathematics Centre |