TJOFLAT, Circuit Judge:

This appeal arises under the Individuals with Disabilities Education Act ("IDEA"), 20 U.S.C. § 1400-1482. It concerns the request by the parents of T.P., a child with autism and speech and language disabilities, that their son's school district pay for an independent educational evaluation ("IEE") of T.P. to determine his educational needs. T.P.'s parents requested this IEE because, they claimed, the evaluation the district conducted more than two years prior was deficient. The school district denied the parents' request, informing them that it would first conduct its own reevaluation of T.P., and that if they disagreed with the results, they could then seek an IEE.

The school district and parents independently filed requests for a hearing before a state Administrative Law Judge ("ALJ"). The parents claimed, among other things, that the school district had inappropriately denied their request for a publicly funded IEE, and they requested an order requiring the district to pay for an IEE of their son. The district requested a declaration that its denial was appropriate because the IDEA's two-year statute of limitations to enforce the right to a publicly funded IEE had run. It also requested the ALJ to order the parents to consent to a reevaluation of T.P.

In separate orders, the ALJ ruled that the statute of limitations had run and ordered the parents to consent to a reevaluation. The parents filed a civil action in federal district court to review the ALJ's ruling. On the school district's motion, the District Court dismissed the parents' complaint, holding that the parents' request in the state administrative proceeding was time-barred. It did not address the ALJ's order requiring the parents to consent to a reevaluation. The parents appeal the District Court's dismissal. We hold that their appeal is moot, vacate the District Court's judgment, and remand the case to the District Court with instructions to dismiss the complaint for lack of subject-matter jurisdiction.

I.

A.

T.P.'s parents ("the Parents") enrolled him in second grade in Bryan County School District ("the District") in August 2010. In August and September of 2010, specialists affiliated with the District conducted an initial evaluation1 of T.P. in several areas of suspected disability. The purpose of an initial evaluation is to determine whether a child is eligible for special education and related services, and it is the first step in the process of developing an individual education program ("IEP")2 for a child with a disability. See 20 U.S.C. § 1414.

The Parents, as members of T.P.'s IEP Team,3 met with District personnel on September 30, 2010. On the basis of the District's initial evaluation, the IEP Team determined that T.P. was a child with a disability and that he was eligible for special education services in the District's Autism and Speech Impairment Program. The IEP Team then prepared an IEP for T.P., taking into consideration the results of the initial evaluation, the Parents' concerns, and T.P.'s strengths and needs. See id. § 1414(d)(3)(A).

The Parents did not object to the determination that T.P. was a child with a disability or to his IEP. If they had, they could have requested a so-called "due process hearing" before a state administrative officer. See id. §§ 1415(b)(6), (f)(1)(A).4 Nor did they disagree with the initial evaluation. If they had, they could have requested that the District pay for an IEE of T.P.,5 which the District then would have had to consider in formulating T.P.'s IEP. 34 C.F.R. § 300.502; see 20 U.S.C. § 1415(b)(1); Schaffer v. Weast, 546 U.S. 49, 60, 126 S.Ct. 528, 536, 163 L.Ed.2d 387 (2005).

The IEP Team next met on September 21, 2011, to review whether T.P. was achieving the goals set in his IEP and to revise the IEP as necessary. See 20 U.S.C. § 1414(d)(4)(A) (requiring annual-review meetings). T.P.'s father attended the September 2011 annual-review meeting. He did not express concerns regarding the IEP or the 2010 evaluation. The IEP Team again reviewed T.P.'s IEP a year later, on September 19, 2012, at which time the Parents also expressed no disagreement with the IEP or the 2010 evaluation.

B.

In November 2012, the Parents — now contending that the 2010 evaluation was "improper" — requested the District to pay for an IEE. See 34 C.F.R. § 300.502. After several weeks of communication with the Parents, the District denied their request. The District explained that the request was untimely, as the IDEA's two-year statute of limitations had run. See 20 U.S.C. § 1415(b)(6)(B) (requiring that states guarantee "an opportunity for any party to present a [due process hearing request] ... which sets forth an alleged violation that occurred not more than 2 years before the date the parent or public agency knew or should have known about the alleged action that forms the basis of the complaint, or, if the State has an explicit time limitation for presenting such a complaint ..., in such time as the State law allows"); see also Ga. Comp. R. & Regs. 160-4-7-.12(3)(a) (providing a two-year statute of limitations for due process hearing requests). Alternatively, the District contended that the request was invalid, as it was not based on a disagreement with the 2010 evaluation. See 34 C.F.R. § 300.502(b)(1) ("A parent has the right to an [IEE] at public expense if the parent disagrees with an evaluation obtained by the public agency.... (emphasis added)).

Despite rejecting the Parents' request for an IEE at public expense, the District acknowledged the Parents' concerns and asked the Parents to allow it to reevaluate T.P. A triennial reevaluation of T.P. was not due until August 2013. See 20 U.S.C. § 1414(a)(2)(B) (requiring local educational agencies to reevaluate children with disabilities "at least once every 3 years, unless the parent and the local educational agency agree that a reevaluation is unnecessary"). The District was required to conduct a reevaluation sooner, however, if it determined that one was warranted. See id. § 1414(a)(2)(A) ("A local educational agency shall ensure that a reevaluation of each child with a disability is conducted... if the local educational agency determines that the educational or related services needs, including improved academic achievement and functional performance, of the child warrant a reevaluation....").6 The District informed the Parents that if they were dissatisfied with the reevaluation, they could then request an IEE at public expense. The Parents, however, would not consent to a District-conducted reevaluation7; they wanted an IEE at public expense.

C.

On December 20, 2012, the District filed a request for a due process hearing to determine whether it was entitled to proceed with a reevaluation of T.P. In the request, it also sought two declarations: first, that the Parents' request for a publicly funded IEE was time-barred because it was made more than two years after the completion of the 2010 evaluation; and second, that the District need not consider, in formulating an IEP for T.P., any IEE the Parents might pay for.

The Parents filed their own request for a due process hearing on January 5, 2013. They sought an order compelling the District to pay for an IEE and barring the District from reevaluating T.P. They argued that this relief was appropriate because the District's refusal to pay for an IEE was improper and it had failed to timely file its hearing request. The Parents also stated the following: "T.[P.] and Mr. and Ms. P. are entitled to IEE's [sic] in the area of psychological evaluation (actually reimbursement for this evaluation if they have paid for it prior to a decision in this matter or otherwise payment to [the psychologist])...." This statement appears to be a request for an order compelling the District to reimburse the Parents for the psychological assessment they obtained on December 17-18, 2012.8

The parties filed motions for summary determination in their respective cases,9 and on January 25, 2013, the ALJ rendered his decisions in separate orders. The ALJ granted the District's motion in the case initiated by the District's due process hearing request, ruling that "the Family's request for an IEE at public expense was barred by the IDEA's statute of limitations." Accordingly, he held that the District did not unnecessarily delay filing, either because the District was not required to defend the 2010 evaluations after the statute of limitations for filing a request for a due process hearing had run or because the District's delay in filing was reasonable. The ALJ also ordered that:

In the case initiated by the Parents' due process hearing request, the ALJ denied the Parents' motion for summary determination. He explained that the Parents were not entitled to relief given the disposition in the District's case, in which the ALJ had decided the issues of "whether the Family's request for IEEs at public expense was timely" and "whether the District failed to timely, and without unnecessary delay, provide the IEEs."10

II.

The Parents filed a complaint in the District Court, seeking relief from both ALJ orders. See M.M. ex rel. C.M. v. Sch. Bd., 437 F.3d 1085, 1097 (11th Cir.2006) ("The IDEA authorizes an `aggrieved' party to bring an action in federal court challenging [an] ALJ's final decision." (quoting 20 U.S.C. § 1415(i)(2)(A))).11 They requested a declaration that the ALJ had erred in applying the IDEA's two-year statute of limitations for requesting a due process hearing to their request for an IEE; an order requiring the District to pay for an IEE; and relief from the ALJ's order that required them to consent to triennial reevaluations and that declared that the District was not obligated to consider the results of any IEE they obtained. Additionally, they may have requested reimbursement for the December 17-18 psychological assessment.12 They did not, however, request relief in the form of future compensatory education.

The District moved to dismiss the Parents' complaint, contending that the ALJ had not erred. It argued that the two-year statute of limitations barred the Parents' November 2012 request for an IEE, the District was entitled to conduct a reevaluation of T.P., and it was not bound to consider any IEE paid for by the Parents until T.P. had been reevaluated.

The District Court granted the District's motion to dismiss, holding that the ALJ did not err in concluding that the Parents' due process request was barred by the IDEA's two-year statute of limitations on filing a due process hearing request. The court did not mention the Parents' appeal of the ALJ's decision ordering them to consent to a reevaluation and relieving the District from considering any IEE obtained at private expense. The Parents made no motion for a new trial or to alter or amend the judgment.

III.

Ultimately, we decide this appeal on mootness grounds. But before turning to the question of mootness, we pause to note the issues not before us.

A.

A party abandons a claim the dismissal of which it does not appeal. See G.J. v. Muscogee Cnty. Sch. Dist., 668 F.3d 1258, 1263 n. 2 (11th Cir.2012) ("The Appellants do not appeal the district court's dismissal of the non-IDEA claims and have therefore abandoned any claim that the district court erred in doing so."). In their brief in opposition to the District's motion to dismiss, the Parents argued that the only issue before the District Court was whether the IDEA's two-year statute of limitations barred their claim:

The District Court, however, ruled that the statute of limitations for requesting a due process hearing before a state ALJ barred the Parents' entire federal complaint.

Despite this ruling, the Parents do not argue on appeal that the District Court erred by treating the statute-of-limitations issue as dispositive of their entire complaint. Accordingly, they abandon any claim they might have that the District Court erred in its treatment of the following four claims: that the ALJ erred by (1) finding the District did not unnecessarily delay filing its due process hearing request, (2) finding the District did not violate their rights by refusing to provide information regarding where the requested IEE could be obtained and providing them with criteria for the IEE, (3) ordering them to consent to a triennial reevaluation, or (4) declaring that the District had no obligation to consider any IEE obtained at private expense. See G.J., 668 F.3d at 1263 n. 2.

Additionally, because district courts should not "be expected to construct full blown claims from sentence fragments," appellate courts should not "permit those same fleeting references to preserve questions on appeal." See Beaudett v. City of Hampton, 775 F.2d 1274, 1278 (4th Cir. 1985). A contrary rule would undermine the premise of our adversarial system: "that appellate courts do not sit as self-directed boards of legal inquiry and research, but essentially as arbiters of legal questions presented and argued by the parties before them." Carducci v. Regan, 714 F.2d 171, 177 (D.C.Cir.1983) (Scalia, J.); see NLRB v. McClain of Ga., Inc., 138 F.3d 1418, 1422 (11th Cir.1998) ("Issues raised in a perfunctory manner, without supporting arguments and citation to authorities, are generally deemed to be waived.").

We do not consider any claim the Parents might have made for reimbursement for the psychological assessment they obtained in December 2012 because they have neither adequately presented nor supported with argument such a claim at any stage of this litigation. In their opening brief on appeal, the Parents request "reimbursement for the independent psychological evaluation they obtained." Appellant's Br. 29. Yet they make no argument — let alone argument accompanied by citation — as to why reimbursement is appropriate or whether the psychological assessment even qualifies as an IEE.13 Cf. NLRB, 138 F.3d at 1422. This has been the case throughout the litigation: the Parents requested reimbursement in their request for a due process hearing and in the complaint, but they did so by way of isolated sentence fragments without supporting argumentation or citation and without ever alleging when or if they actually paid for the December 17-18 psychological assessment.

Perhaps the Parents might have successfully prosecuted a claim for reimbursement. But because they have failed to shoulder the burden of pressing any such claim throughout the course of this litigation, we do not address its merits. See Beaudett, 775 F.2d at 1278.14

B.

The only remaining issue the Parents raise on appeal is whether the District Court erred in holding that the IDEA right to request an IEE is limited to two years. We do not reach this issue because it is moot.

We "have an obligation to examine sua sponte [our] jurisdiction before reaching the merits of any claim." Kelly v. Harris, 331 F.3d 817, 819 (11th Cir. 2003). Federal jurisdiction does not lie to decide moot issues. Sierra Club v. EPA, 315 F.3d 1295, 1299 (11th Cir.2002). This rule derives Article III's case-or-controversy requirement, id., which "subsists through all stages of federal judicial proceedings, trial and appellate," BankWest, Inc. v. Baker, 446 F.3d 1358, 1363 (11th Cir.2006) (quotation omitted). "`[A] case is moot when the issues presented are no longer `live' or the parties lack a legally cognizable interest in the outcome.'" Id. at 1364 (quoting De La Teja v. United States, 321 F.3d 1357, 1362 (11th Cir.2003)).

Our mootness analysis in this case is driven by the scope of our review under the IDEA. In reviewing a school district's actions under the IDEA, "a court's inquiry... is twofold[:] First, has the State complied with the procedures set forth in the Act? And second, is the [IEP] developed through the Act's procedures reasonably calculated to enable the child to receive educational benefits?" Bd. of Educ. v. Rowley, 458 U.S. 176, 206-07, 102 S.Ct. 3034, 3051, 73 L.Ed.2d 690 (1982) (footnote omitted). This appeal concerns only the first, procedural prong of this inquiry. The Parents do not challenge the substance of the IEPs for the 2010-11, 2011-12, or 2012-13 school years. Rather, they claim that in November 2012, the District failed to comply with the IDEA's procedural requirement that they be afforded the right to an IEE at public expense. See 20 U.S.C. § 1415(b) (listing the opportunity "to obtain an independent educational evaluation of the child" among the IDEA's required procedural safeguards).

"Not every procedural defect results in a violation of the IDEA." G.J., 668 F.3d at 1270. Such a defect only violates the IDEA if it:

20 U.S.C. § 1415(f)(3)(E)(ii). The Parents claim that the District's denial to them of the right to an IEE "significantly impeded [their] opportunity to participate in the decisionmaking process regarding the provision of a [FAPE]" to T.P., see id., as "[t]he right to a publicly financed IEE guarantees meaningful participation throughout the development of the IEP," Doc. 7, at 10 (quoting Phillip C. ex rel. A.C. v. Jefferson Cnty. Bd. of Educ., 701 F.3d 691, 698 (11th Cir.2012)). To remedy this alleged procedural injury, they seek an order that the District provide them an IEE at public expense.

The parental right to an IEE is not an end in itself; rather, it serves the purpose of furnishing parents with the independent expertise and information they need to confirm or disagree with an extant, school-district-conducted evaluation. See Phillip C., 701 F.3d at 698; Schaffer v. Weast, 546 U.S. 49, 60-61, 126 S.Ct. 528, 536, 163 L.Ed.2d 387 (2005). The evaluation in connection with which Parents sought an IEE at public expense — the 2010 initial evaluation of T.P. — is no longer current because more than three years have passed since September 2010. See 20 U.S.C. § 1414(a)(2)(B)(ii). Regardless of the merits of Parents' case, ordering an IEE at public expense in these circumstances would be futile because the District "cannot be forced to rely solely on an independent evaluation conducted at the parents' behest." M.T.V. v. DeKalb Cnty. Sch. Dist., 446 F.3d 1153, 1160 (11th Cir. 2006) (quotation omitted); see also G.J., 668 F.3d at 1266 ("The right to a publicly funded independent educational evaluation does not obtain until there is a reevaluation with which the parents disagree.").

Because a reevaluation of T.P. is due, the relief the Parents seek — an order directing the District to pay for an IEE — will no longer redress the procedural injury they allege. Were we now to direct the District Court to order the District to pay for an IEE, it would not empower the Parents to participate in the IEP process. Thus, the Parents lack a legally cognizable interest in the outcome of the appeal, and their appeal is moot.15 See BankWest, Inc., 446 F.3d at 1364.

IV.

We VACATE the judgment of the District Court and REMAND with instructions to dismiss the complaint for lack of subject-matter jurisdiction. See Coal. for the Abolition of Marijuana Prohibition v. City of Atlanta, 219 F.3d 1301, 1310 (11th Cir.2000) (citing United States v. Munsingwear, Inc., 340 U.S. 36, 39-40, 71 S.Ct. 104, 106-07, 95 L.Ed. 36 (1950)).