Technically speaking, the intentional use of misleading language is more in the domain of rhetoric than logic and is known as sophistry. A fallacy is generally considered any persuasive argument of bad form. See What is the philosophical term used to describe flawed logic? for more details on what constitutes a fallacy.
Once one introduces the notion of having the intention to use fallacies to deceive others, the term most often used to describe the intention to mislead by fallacy is sophistry. From MW:
soph·ist·ry | \ˈsä-fə-strē\
Definition of sophistry
1 : subtly deceptive reasoning or argumentation
2 : sophism sense 1
Deliberate sophistry is a hyponym or type of lying, which is often defined broadly as any communication with the intent to deceive. From a philosophical stand point in logic, the notion of interest is known as intentionality which is a technical term which does not mean 'to intend', but rather is construed more broadly and is often described as 'an agent's ability to have aboutness'. From SEP:
In philosophy, intentionality is the power of minds and mental states to be about, to represent, or to stand for, things, properties and states of affairs. To say of an individual’s mental states that they have intentionality is to say that they are mental representations or that they have contents. Furthermore, to the extent that a speaker utters words from some natural language or draws pictures or symbols from a formal language for the purpose of conveying to others the contents of her mental states, these artifacts used by a speaker too have contents or intentionality. ‘Intentionality’ is a philosopher’s word: ever since it was introduced into philosophy by Franz Brentano in the last quarter of the nineteenth century, it has been used to refer to the puzzles of representation, all of which lie at the interface between the philosophy of mind and the philosophy of language.
Whereas lying can occur through omission and commission, sophistry is more generally a more subtle use of omission that takes advantage of the omission bias inherent in people's defeasible reasoning. That makes it much more difficult to detect and counter. Plus, it often gives someone the protection of having plausible deniability.
Every day, human beings go about their business of trying to determine what other people are thinking in their transactions. In philosophy, one can wonder if others even have minds and this is known as the problem of other minds, but it is much more natural and common to presume others have minds as part of what might be constituted as a folk psychology.
Lastly, it's worth noting that between the inability to read minds and overcome plausible claims of denial, human beings are subject to having cognitive distoritions, whereby strong emotions influence human reasoning. As such, sometimes sophistry can be unintentional, and as such has given rise to a philsophical razor known as Hanlon's Razor:
Hanlon's razor is a principle or rule of thumb that states, "never attribute to malice that which is adequately explained by stupidity".1 Known in several other forms, it is a philosophical razor that suggests a way of eliminating unlikely explanations for human behavior. It is likely named after Robert J. Hanlon, who submitted the statement to a joke book. Similar statements have been recorded since at least the 18th century.
Thus your claim that the school district is willfully engaged in manipulating people is actually quite the complicated epistemological affair. Your claims that they are intentionally lying to achieve an end in a court of law would be subject to quite a rigorous process of discovery and trial.
The etymology from the MW entry shows some historical origins of the term:
Sophistry Has Roots in Greek Philosophy
The original Sophists were ancient Greek teachers of rhetoric and philosophy prominent in the 5th century B.C. In their heyday, these philosophers were considered adroit in their reasoning, but later philosophers (particularly Plato) described them as sham philosophers, out for money and willing to say anything to win an argument. Thus sophist (which comes from Greek sophistēs, meaning "wise man" or "expert") earned a negative connotation as "a captious or fallacious reasoner." Sophistry is reasoning that seems plausible on a superficial level but is actually unsound, or reasoning that is used to deceive.