OPM1501
Assignment 3
(COMPLETE
ANSWERS) 2024
(839387) - DUE 8 July
2024 ;100%
TRUSTED
ADMIN
[COMPANY NAME]
, Question 1 1.1. Complete the following function machines so that the inputs
give the correct outputs: a) 32 224 (3) b) 1080 − 960 (3) c) 525 25 (3) d) 510
270 (3) (12) 1.2. If you were asked to complete the following number line by
filling in the missing numbers, explain why it would not be possible to do so:
19 31 42 (4) 1.3. Provide two ways you can use to teach the students how to
generate the rule for each of the following: a) 32 224 (3) ….. − ….. …. ..
…. ….. b) 1080 − 960 (3) c) 525 25 (3) d) 510 270 (3) (12) 1.4. Fill out the
table below to show how many matches you would need for each diagram
number: (5) a) Write the rule for this pattern. (2) b) What formula could you
use for this pattern? (2) c) How many matchsticks would diagram number 37
have? (3) (12) [40]
32→32×7=22432→32×7=224 b)
1.1. Function machines: a)
1080→1080−120=9601080→1080−120=960 c)
525→525÷21=25525→525÷21=25 d)
510→510÷2−30=270510→510÷2−30=270
1.2. It wouldn't be possible to fill in the missing numbers because there's no
consistent pattern or rule evident from the given numbers. Each number
seems arbitrary and unrelated to the others.
1.3. Two ways to teach students to generate the rule: a) For pattern a, have
students observe that each output is obtained by multiplying the input by a
specific number and then subtracting or dividing by another number. They
can then look for patterns in the operations and numbers involved to deduce
the rule. b) Alternatively, students can plot the inputs and outputs on a
graph and look for a linear relationship, which would indicate a multiplication
and subtraction/division rule.
1.4. a) The rule for the pattern seems to be adding 3 to the previous number
each time. b) The formula for this pattern could be �+3n+3 where �n is
the previous number. c) To find the number of matchsticks for diagram
number 37, we can use the formula: 37+3=4037+3=40, so diagram number
37 would require 40 matchsticks.
Question 2 2.1. Copy and complete the table below by describing how you
decided whether the set of numbers in the preceding tables is a pattern or not:
Number set Pattern or not a pattern Description 4; 8; 13; 16; 20; …. 4; 8; 3; 9;
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