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Year 8 Maths |
YEAR 8 MATHEMATICS
Alternative assessment
Term 3, 2005
Submission Details:
1. The assignment should be submitted on A4 paper with the assignment sheet stapled to the front of your work with your name and teacher’s name written clearly on the front.
Ensure the work submitted is your own work. Work that has been plagiarised will not be awarded
any credit.
3. Assignments must be given to your teacher during the specified lesson on the due date.
4. Assignments can be submitted earlier than this date. Assignments received after the due date will receive a grade based on the work seen by your teacher prior to the due date through the submission of rough drafts. The grade awarded will only be approximate so an incomplete assignment handed in by the due date is a better option.
5. If illness prevents you from handing in your assignment on the due date, the school office must be contacted on the due day by phone. The assignment plus a doctor’s certificate must be given to the Head of Department on your return to school.
6. Do not ask your teacher for an extension, as they will be unable to grant your request. Occasionally, the Head of Department, Mrs Wiffen, may grant an extension. Extensions will only be granted if they are negotiated before the due date and the reason for the request is substantial.
OUTCOME PA5.1 Patterns and functions. Students interpret and compare different representations of linear functions and solve related problems.
Finding Number Patterns in Triangles.
1. The picture below represents a mouse house. Each room is indicated by a circle. If the mouse is only allowed to move in a downward direction, how many different ways can the mouse get to each room? Write your answers in each circle
(2 marks)
2. Add up the numbers in each row. Example row 2: 1+2+1=4. is there a pattern?
(1 marks)
3. To work out the values for each room in the next two rows using trial and error would be time
consuming. A better method would be to look for patterns.
Describe four patterns that you can see in the triangle. (Your answer from question 2 might
Help.)
(4 marks)
4. The mathematician who discovered the patterns in this triangle is said to have dropped his
socks onto the triangle one night. Make a hypothesis about the relationship between the
number covered by the toe and the sum of the numbers covered by the leg.
(2 marks)
5. Write four more examples to support your hypothesis.
(2 marks)
6. Draw four triangles like the triangle you completed in question 1 but with eleven rows. Each
triangle should be on a separate piece of A4 paper.
a) On the first triangle shade in the even numbers. (1 mark)
b) On the second triangle shade in the multiples of 7 (7, 14, 21, etc) (1 mark)
c) On the third triangle shade in the multiples of 3. (1 mark)
d) On the fourth triangle shade in the multiples of 5. (1 mark)
7. The patterns you found in question 6 are called spatial patterns. Find one more spatial
pattern.
(2 marks)
8. Neatness and presentation checklist:
title page (½ mark)
pages ruled (½ mark)
neat corrections (½ mark)
work set out clearly on A4 paper (½ mark)
loose sheets stapled together (½ mark)
working out written neatly and spaced appropriately (½ mark)
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