OPM1501 Assignment
3 (COMPLETE
ANSWERS) 2024
(839387) - DUE 8 July
2024 ;100% TRUSTED
workings,
explanations and
solutions.
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]
Question 1.1: Function Machines
The goal here is to determine the operations (functions) that
transform the given inputs to the outputs.
a) 32 ➜ 224 (3)
To find the rule, we need to determine a combination of operations
that transforms 32 into 224. One approach is to consider possible
mathematical operations like addition, subtraction, multiplication,
and division.
Let's start with a hypothesis that might work. For instance:
32×7=22432 \times 7 = 22432×7=224 So the rule could be:
Multiply by 7.
b) 1080 ➜ −960 (3)
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