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OPINION OF THE COURT AMBRO, Circuit Judge. Table of Contents I. Background ..............................................................242 A. Richard Stadtmauer and the Kushner Companies..........................242 B. The Other Players ....................................... 242 C. The Alleged Conspiracy.................................................243 1. The General Ledgers...............................................244 i. Charitable Contributions........................................244 ii. “Non-Property” Expenses ......................................244 iii. Capital Expenditures...........................................245 iv. Gift and Entertainment Expenses................................245 2. EC’s Internal Financial Statements...................................245 3. SSMB’s Preparation of the Partnerships’Tax Returns ..................246 D. Evidence of Stadtmauer’s Knowledge.....................................247 1. “Thursday Meetings”...............................................247 2. “Richard Specials” and Other Special Financial Statements..............248 3. Other Circumstantial Evidence of Stadtmauer’s Knowledge of Tax Law and Consciousness of Guilt....................................249 i. Rationale for Private School Tuition Payments.....................249 ii. The 1996 IRS Audit............................................250 iii. Dissenting Limited Partners and Executives.......................250 E. The Verdict and Stadtmauer’s Post-Verdict Motions........................251 II. Jurisdiction...............................................................252 III. Discussion................................................................252 A. Willful Blindness.......................................................252 1. Whether the District Court’s Willful Blindness Instruction Applied to Stadtmauer’s Knowledge of the Law................................252 2. Willful Blindness and Cheek.........................................254 3. Whether the District Court’s Willful Blindness Instruction Applied to the Element of Specific Intent......................................258 4. Whether Trial Evidence Warranted the Willful Blindness Instruction.....259 B. Lay Opinion Testimony.................................................260 1. Background .......................................................260 2. Analysis...........................................................262 C. Prosecutorial Misconduct ...............................................267 D. Expert Testimony......................................................269 E. Restrictions on Cross-Examination.......................................271 Following a two-month jury trial in the District Court for the District of New Jersey, Richard Stadtmauer was convicted of one count of conspiracy to defraud the United States (in violation of 18 U.S.C. § 371), and nine counts of willfully aiding in the filing of materially false or fraudulent tax returns (in violation of 26 U.S.C. § 7206(2)). On appeal, Stadtmauer raises many challenges to these convictions. We deal principally with the issue Stadtmauer raises last: whether the District Court erred in giving a willful blindness instruction in this case, including whether the Supreme Court’s decision in Cheek v. United States, 498 U.S. 192, 111 S.Ct. 604, 112 L.Ed.2d 617 (1991), forecloses the possibility that willful blindness may satisfy the legal knowledge component of the “willfulness” element of criminal tax offenses. We join our sister circuit courts in concluding that Cheek does not prohibit a willful blindness instruction that applies to a defendant’s knowledge of relevant tax law. We reject also Stadtmauer’s other claims of error, and thus affirm. I. Background A. Richard Stadtmauer and the Kushner Companies This criminal case stemmed from an investigation of Charles Kushner, a prominent real estate entrepreneur, political fundraiser, and philanthropist in New Jersey. Kushner controls hundreds of limited partnerships, each of which owns and manages a single commercial or residential property. Kushner is the general partner of each partnership and, for most, his siblings (including his brother, Murray Kushner ) and their children are the other limited partners. These partnerships have collectively operated under the name “Kushner Companies” (“KC”). KC is not a registered entity and does not own any properties. In the mid-1990s, Charles and Murray Kushner accused each other of taking more than his fair share out of their common businesses. During the course of the ensuing civil litigation, Murray alerted federal authorities to potential misconduct by his brother and KC. Following an investigation, Kushner pled guilty in 2004 to, among other things, assisting in the filing of false partnership tax returns and federal campaign contribution offenses. During the course of its investigation of Kushner, the Government indicted several other individuals, including Stadtmauer — a Certified Public Accountant, a law school graduate, and Kushner’s brother-in-law. He became an employee of KC in 1985, and eventually rose to become an executive vice president. In this role, Stadtmauer oversaw the operations of KC’s residential and commercial properties. Stadtmauer also held a small stake (between 1% and 7%) in many of KC’s partnerships. Stadtmauer and Kushner held equal interests (50% each) in Westminster Management, an entity which collected management fees from the other partnerships. B. The Other Players Several former KC executives testified against Stadtmauer at trial, including: (1) Chief Financial Officer (“CFO”) Stanley Bentzlin; (2) Chief Operations Officer (“COO”) Scott Zecher; and (3) Alan Lefkowitz, who succeeded Bentzlin as CFO in 2000. Of these three, only Zecher was indicted. KC employed the accounting firm of Schonbraun, Safris, McCann, Bekritsky & Company, LLC (“SSMB”) as its main “outside” accountant. The lead SSMB accountant for KC matters was Marci Plot-kin, who served as KC’s CFO in the early 1990s before returning to SSMB. Though Plotkin was technically an employee of SSMB, KC reimbursed SSMB for yearly bonuses it paid to Plotkin and certain of Plotkin’s salary increases, and reimbursed Plotkin for the cost of her son’s private school tuition. Kushner did not heed Bentzlin’s warning that paying Plotkin a bonus would impair her independence and preclude SSMB from issuing financial statements on behalf of KC partnerships. Marci Plotkin was assisted by (among others) SSMB partner Stanley Bekritsky and Anne Amici, a staff accountant who worked almost exclusively on KC matters. Plotkin, Bekritsky, and Amici were indicted along with Stadtmauer and each pled guilty to conspiring to defraud the United States. Of these three, only Bekritsky testified at Stadtmauer’s trial. C. The Alleged Conspiracy The Government charged that Stadtmauer, Bekritsky, Plotkin, and Amici conspired to file false or fraudulent tax returns for the 1998-2001 tax years for Westminster Management and eleven other KC limited partnerships: “Oakwood Garden Developers,” “Elmwood Village Associates,” “Pheasant Hollow,” “QEM,” “Mt. Arlington,” and six partnerships with variations of the name “Quail Ridge.” The Government alleged that these partnerships fraudulently claimed four categories of expenditures as fully deductible business expenses on their tax returns: (1) charitable contributions, which generally are not deductible as business expenses; (2) expenditures incurred by one partnership but paid by a different partnership (known as “non-property” expenses); (3) capital expenditures, which generally must be amortized and depreciated over the life of the relevant asset (and thus are not immediately deductible in full); and (4) gift and entertainment expenses, which generally are not fully deductible as business expenses. The Government’s theory was that these four types of expenditures were fraudulently deducted in full as ordinary business expenses on the partnerships’ tax returns through a three-step process. First, the expenses were logged in each limited partnership’s general ledger via a computer-based accounting program that broke down all revenue and expenses into categories called “accounts.” Second, KC used the general ledgers to prepare internal financial statements that automatically categorized these four types of expenditures as “expenses.” Finally, SSMB used the general ledgers and internal financial statements to prepare external financial statements and tax returns for each partnership that falsely claimed these four categories of expenditures as fully deductible business expenses. To illustrate, below we discuss primarily the 2000 tax return for one of the limited partnerships, Elmwood Village Associates (“Elmwood Village”). 1. The General Ledgers i. Charitable Contributions Kushner and Stadtmauer frequently directed that charitable contributions be paid out of partnership funds, which were logged into the general ledger under the “contributions” account. In 2000, Elm-wood Village paid approximately $186,000 to various charitable organizations, including donations to the Suburban Torah Center — the “personal synagogue” of Kushner and Stadtmauer — and to the Center’s Rabbi, Stadtmauer’s “rabbinical advisor.” (App.2846-47.) Also logged under the “contributions” account were donations made to various political campaigns and political action committees, and $25,384 in private school tuition payments for Zecher’s and Plotkin’s children. Because the latter payments were logged as partnership expenses (rather than entered into the payroll system as taxable income), no taxes were withheld and no Form 1099 was issued to Zecher or Plotkin. Zecher testified that he generally left the descriptions blank on the checks for tuition payments because “[tjhere was nothing [he] really could write. It was not an appropriate business expense.” (Id. at 2817.) ii. “Norir-Property” Expenses Whenever a particular KC partnership incurred an expense that it could not satisfy out of its current funds, Kushner would direct that a different partnership pay the expense. He referred to this practice as “losing a bill,” and it was a regular agenda item for upper-level management meetings held every Tuesday (referred to as “Tuesday Meetings” or “Cash Meetings”). Typically, either Kushner, the CFO, or the controller chose the source of payment; in other instances, Kushner directed Stadtmauer to choose which partnership would pay the expense. Zecher testified that it was Kushner’s view that an expense could be paid by any partnership that he controlled. Sometimes Kushner would tell Zecher that the partnership actually paying the expense “didn’t matter because it was all family.” (Id. at 3116.) For example, in 1998 various KC partnerships paid more than $1 million in expenses associated with the renovation of KC’s central office building in Florham Park, New Jersey. Kushner directed Bentzlin to have several different partnerships, on a rolling basis, pay portions of the total expenses incurred as a result of the renovations. These expenditures were logged in the partnerships’ respective general ledgers under the “repairs and maintenance” account. Eventually, Kushner instructed Bentzlin to review with Stadtmauer the list of all bills due for the renovation work, and directed Stadtmauer to “instruct [Bentzlin] on how to lose it,” i.e., to choose “what entity to pay it out of.” (Id. at 2130.) In addition to one partnership paying another partnership’s expenses, KC partnerships also paid for expenses that had no relation to any partnership’s business. In 2000, Elmwood Village paid approximately $30,000 in “non-property” expenses that were booked to various general ledger accounts, including “advertising,” “seminars,” “legal fee-other,” and “other professional fees.” This amount included (among other things): (1) $10,000 paid to a consulting firm to research the viability of a comeback by then-former Israeli Prime Minister Benjamin Netanyahu; (2) $10,000 toward a $100,000 fee to pay Mr. Netanyahu to speak at a breakfast sponsored by NorCrown Bank (an entity not affiliated with KC in which Kushner held an interest); and (3) $3,815 toward a $50,000 fee to pay former Chairman of the Federal Reserve Paul Volcker to speak at another NorCrown Bank event. iii. Capital Expenditures From 1998 through 2001, various KC partnerships purchased capital assets and made capital improvements to their properties. In general, these expenses were logged in the partnerships’ general ledgers under the “repairs and maintenance” account rather than the capital expenditures account. As Lefkowitz explained at trial, “[tjhere [were] a few instances where things might have been capitalized, but as a general rule ... everything went through expenses.” (Id. at 2604.) Bentzlin explained that, although each general ledger had a capital improvement “account,” capitalizing assets “wasn’t the way it was done at Kushner Companies.” He added that [w]e regularly and routinely expensed [capital assets] under one of the repairs and maintenance or capital improvement accounts ... [;] that was the way they were doing it upon my arrival, and it didn’t change throughout my tenure with a few — just with a few exceptions. ... You didn’t question it. You know, it was ruled with an iron fist. They controlled pretty much everything. (Id. at 2190.) In 2000, Elmwood Village spent $269,323 on improvements that allegedly should have been capitalized, which included adding new bathrooms and kitchens to apartments — including new cabinets and $49,318.40 worth of new appliances (such as washers and dryers) — and a new truck (for $25,126). All of these expenses were logged in the partnership’s general ledger under the “repairs and maintenance” general ledger account rather than a capital account. iv. Gift and Entertainment Expenses Kushner and Stadtmauer frequently directed various partnerships to pay gift and entertainment expenditures that had no specific connection with the partnership paying the expense. In 2000, Elmwood Village paid: (1) $12,640 to cater a brunch at the New Jersey Performing Arts Center; (2) $7,027 to a wine store for alcohol delivered to Kushner’s and Stadtmauer’s private homes during the holidays; (3) $5,905.23 to cater a fundraiser for former New Jersey Governor Jon Corzine; and (4) thousands of dollars for New York Yankees, New York Mets, and New Jersey Nets season tickets. Each of these expenditures was logged in Elmwood Village’s general ledger under a “miscellaneous,” “gifts/entertainment,” or “travel” account. 2. KC’s Internal Financial Statements KC used the general ledgers to generate internal financial statements for each partnership. The accounting template (or “skeleton”) used to produce these statements automatically grouped certain accounts from the general ledgers — including the “contributions,” “gifts/entertainment,” “miscellaneous,” and “seminars” accounts — under the category of “office expenses.” In addition, the “legal fee-other” and “other professional fees” accounts were grouped under the category of “payroll and related expenses.” Each of these categories — in addition to the “advertising” and “repairs and maintenance” categories — -were, in turn, grouped under the general category of “expenses,” and thus deducted in full from the partnership’s revenue on the internal financial statement. This violated applicable accounting standards, which required the partnerships’ financial statements to be prepared on an income tax basis. 3. SSMB’s Preparation of the Partnerships’ Tax Returns SSMB used KC’s general ledgers and internal financial statements to prepare external financial statements for each partnership. KC would submit a “Management Representation Letter” to SSMB along with its financial statements, in which KC management certified that “[t]here are no material transactions that have not been properly reflected in the financial statements.” Stadtmauer signed most of these representation letters. KC also provided SSMB with the template it used to prepare its internal financial statements. In preparing the partnerships’ external financial statements and tax returns, SSMB used the groupings applied by KC’s internal accounting software. Thus, the 2000 internal and external financial statements for Elmwood Village reflected virtually identical amounts for “office expenses” and “repairs and maintenance.” As Bekritsky testified, the tax returns were prepared “on the same basis” as the partnerships’ financial statements, meaning that “if [something is] deducted on the financial statement, it is deducted on the tax return and produces income or increases the loss of the partnership.” (Id. at 3218.) Elmwood Village’s 2000 tax return deducted a total of $496,713 in ordinary and necessary business expenses (on lines 3 through 15 of Form 8825, entitled “Rental Real Estate expenses”). Included in this amount was $211,885 in charitable contributions, political donations, and tuition payments (for, among others, Plotkin’s and Zecher’s children). (Line 8 of Schedule K to the return — where partnerships are required to list charitable contributions — was left blank.) The “non-property,” and gift and entertainment, expenses incurred by Elmwood Village in 2000 were similarly claimed as fully deductible business expenses (instead of listed separately as required on Schedule M-l). Finally, Elmwood Village reported no increase in capital assets in 2000. Rather, $269,323 in alleged capital expenditures were included in the $347,939 reported as “repairs” (on line 10 of Form 8825), while other alleged capital expenditures were spread among various items in Statement 10 of Schedule M-2 (entitled “Other Rental Expenses”). Around March or April of each year, Stadtmauer met with KC’s CFO and someone from SSMB — usually Plotkin, and infrequently Bekritsky — to review and sign the KC partnerships’ tax returns. During these sessions, Stadtmauer sometimes reviewed SSMB’s financial statements for the partnerships; indeed, he refused to “sign a tax return unless he had the financial statements next to him.” (Id. at 2958.) He would “flip through” each return, “look at certain things, and then sign it.” (Id. at 2194.) Stadtmauer only occasionally asked questions about the returns, and typically spent “30 seconds to a minute” on each. (Id. at 2283.) However, he spent more time on EC’s major properties, particularly those that had large annual increases in “repairs and maintenance” expenses. (Id. at 2958.) Stadtmauer reviewed and signed as many as 800 tax returns in a given day. Stadtmauer signed each of the partnerships’ tax returns below a legend declaring, “[ujnder penalties of perjury,” that he had “examined th[e] return, including accompanying schedules and statements,” and that, to the best of his knowledge, the return was “true, correct, and complete.” (E.g., Supp.App. 937.) Stadtmauer signed each return in his capacity as Vice-President of the corporate general partner; as Bentzlin and Zecher testified, Stadtmauer believed that by doing so he would protect himself from personal liability. (App.2209, 2903.) The Government alleged that, from 1998 through 2001, the twelve EC partnerships identified in the indictment claimed more than $6 million in improper deductions. Capital expenditures that were deducted in full the year they were incurred accounted for more than half of this amount. D. Evidence of Stadtmauer’s Knowledge To establish that Stadtmauer “willfully” aided in the preparation of materially false or fraudulent tax returns — as required for a violation of 26 U.S.C. § 7206(2) — the Government was required to prove beyond a reasonable doubt that he voluntarily and intentionally violated “a known legal duty.” United States v. Pomponio, 429 U.S. 10, 12, 97 S.Ct. 22, 50 L.Ed.2d 12 (1976). Whether Stadtmauer had knowledge that the deductions claimed on the partnerships’ tax returns were materially false or fraudulent was the critical issue at trial. At trial, Bentzlin, Zecher, and Bekritsky each testified that they never discussed with Stadtmauer the falsity of any particular deduction or tax return. Accordingly, the Government sought to meet its burden of proving that Stadtmauer acted “willfully” through various forms of circumstantial evidence (some of which have already been discussed), including: (1) evidence of Stadtmauer’s intimate familiarity with the partnerships and how their general ledgers were maintained; (2) evidence that Stadtmauer made decisions on how to treat partnership expenses in the past with tax consequences in mind; and (3) other evidence suggestive of a consciousness of guilt, e.g., evidence that Stadtmauer was aware that the partnerships were making improper expenditures. 1. “Thursday Meetings ” In addition to the “Tuesday Meetings” that Stadtmauer regularly attended, for many years he ran weekly “Thursday Meetings” with the limited partnerships’ property managers, as well as EC’s in-house counsel, controller, Bentzlin, and sometimes Plotkin. The purpose of each meeting was to conduct an in-depth review of one or two KC properties. The managers prepared presentation packages that showed the partnerships’ actual expenses to date. Stadtmauer went through the presentations “line by line,” and asked “specific” questions about each. (App. 2641.) According to Zecher, “there was nothing [Stadtmauer] didn’t see fit to get involved with in property management,” and he was “one of the brightest people [that Zecher had] ever met.” (Id. at 2836.) In 1996, certain property managers started using special letter codes on their general ledgers to identify “non-property” expenses paid for by their respective partnerships. The codes allowed property managers to identify those expenses more easily and exclude them from their Thursday Meeting presentations. According to Bentzlin, the property managers were hesitant to answer Stadtmauer’s questions about such expenses during Thursday Meetings (previously listed as “miscellaneous” expenses on the presentations), because they knew the expenses were for expenses “paid out of other properties,” and “didn’t want to blurt it out in front of a roomful of people.” (Id. at 2150.) Stadtmauer was “quite unhappy” when he learned of the codes, and directed his subordinates to end the practice. (Id. at 2186.) Stadtmauer and Bentzlin ultimately decided to lump non-property expenses together under a category called “other.” Doing so obviated the need for Stadtmauer to “interrogate or continue to question the property manager as to the nature of those expenditures” during Thursday Meetings, and made it easier during Tuesday Meetings to “figure out [how] the apartment complex on its own was really operating.” (Id. at 2185-86.) In addition, Stadtmauer directed that KC’s accounting software be modified “to allow somebody to go in and change [existing] descriptions within the general ledger.” (Id. at 2187.) Stadtmauer also frequently instructed his subordinates to omit descriptions in check requests to avoid leaving a “trail” when KC “used one property to pay another property’s expenses.” (Id. at 2628.) He admonished Zecher to “never put the descriptions in,” because he “d[idn’t] want the descriptions [to show up] in the ledger.” (Id. at 2855.) Stadtmauer also “reminded [Zecher,] over and over, [to] be careful what [he] put in emails. Emails never disappear.” (Id. at 2858.) 2. “Richard Specials” and Other Special Financial Statements In certain circumstances, Stadtmauer directed that special financial statements for the partnerships be prepared for banks and other entities. These were known as “Richard Specials.” These special financial statements were often prepared when KC wanted to reduce outstanding letters of credit on particular properties. Stadtmauer would direct that “negative items” that tended to depress the partnership’s profitability be removed from these statements, such as capital expenditures (that had been logged as “repair and maintenance” expenses) and “non-property” expenses. (Id. at 2077-78.) To prepare these statements, Stadtmauer was given a “detailed report” of the partnership’s general ledger, which he would go through line by line and indicate the items to be removed for the financial statement. (Id. at 2077.) KC prepared both internal and external versions of every “Richard Special”; the internal version revealed the adjustments made, while the external version showed only the final numbers after adjustments. (Id. at 2225.) The first time Stadtmauer asked Bentzlin to create a “Richard Special,” Bentzlin objected and told Stadtmauer that he “didn’t think it was the right thing to do” because they “would be sending different financials out other than the ones prepared by the accountant.” (Id. at 2079.) Stadtmauer argued it would be proper because they would call it a “statement from operations” (as opposed to a “statement of operations”), supposedly making clear that it wasn’t a true financial statement. (Id. (emphasis added).) Bentzlin told Stadtmauer he thought the justification was “ridiculous,” and though Bentzlin ultimately agreed to prepare the “Richard Specials,” he “didn’t want [them] ever to go out with [his] name on [them].” (Id.) Similar to “Richard Specials,” on several occasions KC prepared special financial statements in connection with potential acquisitions and joint ventures. For example, in 1995 certain lenders agreed to finance KC’s acquisition of Elmwood Village, provided that KC would commit to making $1.5 million in capital improvements to the property and secure a $1.6 million letter of credit. These expenditures were entered, as usual, under non-capital accounts on the partnership’s general ledger. At the end of the year, however, KC decided to capitalize the items on the partnership’s financial statement “to get the letter of credit cancelled.” (Id. at 2348.) This decision was made during a Tuesday “Cash Meeting” in which Stadtmauer participated. Elmwood Village’s 1996 tax return accurately reported almost $1 million in capital improvements. After the letter of credit was cancelled, however, KC “went back to the usual procedures of expensing those types of expenditures.” (Id. at 2210.) Elmwood Village did not capitalize any expenditures after 1996, and its post-1996 returns treated the 1996 renovations that had been capitalized as fully deductible repairs. Similarly, in 2000 KC paid $280 million to acquire a company called WNY, which owned approximately 40 properties in New Jersey, Pennsylvania, Maryland, and Delaware. KC was required to obtain a $40 million letter of credit in connection with the acquisition. Stadtmauer, Plotkin, and Zecher had a “very detailed meeting” on how they would “do the accounting for the WNY properties.” (Id. at 2967.) They agreed that they would “capitalize everything and anything [they] could, instead of expensing it, like [they] always did in the other properties.” (Id.) Zecher testified that Stadtmauer was “convinced, because the transaction was so large, and the $40 million [in] letters of credit were so unusual for [KC], that the banks were going to come in and look at not only the tax returns, but ... the actual books and records.” (Id.) When the letters of credit were removed, Plotkin asked whether she should expense the capitalized items. Zecher responded that he and Stadtmauer had determined that the financial statements would “look very weird” if they stopped capitalizing. (Id. at 2970-71.) 3. Other Circumstantial Evidence of Stadtmauer’s Knowledge of Tax Law and Consciousness of Guilt i. Rationale for Private School Tuition Payments As noted, for several years KC paid the private school tuition for, among other KC employees, Plotkin’s and Zecher’s children. Zecher testified that Stadtmauer came up with the idea of paying the tuition directly to the school instead of increasing Zecher’s year-end bonus by that amount. (Id. at 2824.) Stadtmauer told Zecher that he was “trying to' be nice” by paying the tuition directly to the school, which would allow Zecher to avoid thousands of dollars in additional income taxes. (Id.) ii. The 1996 IRS Audit In 1996, the Internal Revenue Service (“IRS”) audited the tax returns for two KC partnerships, focusing on the large deductions taken for repairs (including $850,000 to reconstruct a building’s facade, which was deducted in full as a business expense). The IRS ultimately issued “no change” letters. Following the audit, however, Plotkin sent a letter to Bentzlin — on which Stadtmauer was copied — instructing Bentzlin to change the word “improvements” to “repairs” in the “tenant' improvements,” “apartment renovations,” and “building improvements” general ledger accounts. (Id. at 2269-70.) Bentzlin believed the purpose was to make these categories appear as if they contained repair and maintenance expenditures rather than “potentially a capital improvement type item.” (Id. at 2270.) iii. Dissenting Limited Partners and Executives In addition to the Kushner family and Stadtmauer, there were other individuals who held interests in various KC partnerships. As Zecher testified at trial, many of these individuals made repeated requests for information regarding the financial state of their partnership interests. In many instances, Stadtmauer and Kushner ordered Zecher to refuse those requests. In one instance, a partner of a KC partnership named “K & F Clinton” inquired as to certain political contributions made by that partnership and attributed to him. (Id. at 2891.) The partner denied he had ever authorized the contributions, and noted that, “had [he] been informed of the intention to make political contributions, [he] would have advised that such political contributions were inappropriate and [he] would have demanded that they not be made from K & F” funds. (Id. at 2892.) He further noted that “[n]othing in the partnership agreement authorized the disbursement of K & F funds for any unrelated purpose.” (Id. at 2892-93.) Zecher got similar responses from several other partners. (Id. at 2893.) Another limited partner — Stanley Greenberg — “constantly” had difficulty obtaining annual financial statements for the partnerships in which he had an interest. (Id. at 3356.) When he finally obtained and examined the partnerships’ financial statements for a prior three-year period, “it was obvious [to him] that the expenses [claimed for] run[ning] the[ ] properties were way out of line.” (Id.) Among other things, Greenberg noticed that the partnerships in which he had an interest had treated capital expenditures as ordinary expenses, and had made numerous charitable contributions to Kushner’s and Stadtmauer’s synagogues, as well as political contributions. (Id. at 3363.) When Greenberg expressed his concerns to Kushner, the latter told him that “if you don’t like it, I will give you your money back.” (Id. at 3358.) Greenberg also had conversations with Stadtmauer, both in person and by phone, regarding the improper expenses being paid by the partnerships, and asked Stadtmauer to “stop [KC from] doing what they were doing.” (Id.) Though he offered no “excuse ... or any explanation” for the expenses, Stadtmauer rejected Greenberg’s request, explaining that “that was the way they did business.” (Id.) Following these conversations, KC attempted to buy out Green-berg’s interests in the partnerships. In addition to these dissenting limited partners, the Government also introduced testimony that KC executives were expected not to challenge KC’s accounting practices. As Bentzlin explained, “[y]ou had to do pretty much as you were told [at KC]. [Stadtmauer] and [Kushner] often would throw tirades at any number of the meetings on a regular routine basis or in the office, you know, that you really didn’t have latitude to make any changes.” (Id. at 2190.) Former CFO Alan Lefkowitz learned this lesson the hard way. In early 2001, he emailed Kushner to ask whether he should follow the past practice of paying a bill for a Mikvah (a Jewish ritual) with funds from one of the partnerships. Kushner was furious, and admonished Lefkowitz that he “should never write something like th[at] down.” (Id. at 2613.) According to Zecher, Kushner was angry that Lefkowitz had “put[ ] in an email in writing that [KC was] paying bills for a ... not-for-profit project out of ... for-profit properties.” (Id. at 2858.) Kushner printed out the email and hand-wrote: “This guy is a definite Moron. We must deal with the situation.” Kushner forwarded a copy of the email (bearing his hand-written note) to Stadtmauer, and it was later discussed among upper-level management. Stadtmauer later told Zecher: “This is a stupid thing to do and you better make sure this guy doesn’t do it again.” (Id.) Lefkowitz was eventually barred from Tuesday Meetings and later resigned. He believed that management (including Stadtmauer) had concluded that he was not a “team ... player,” i.e., was “not willing to go along with what they want[ed] to do.” (Id. at 2613.) E. The Verdict and Stadtmauer’s Postr-Verdict Motions Following a two-month trial, the jury convicted Stadtmauer of one count of conspiracy and nine counts of aiding in the willful filing of materially false or fraudulent partnership tax returns.' The District Court denied Stadtmauer’s motions for a judgment of acquittal and to dismiss the indictment. In February 2009, the District Court sentenced him to 38 months’ imprisonment. He timely appealed. II. Jurisdiction The District Court had jurisdiction under 18 U.S.C. § 3231. We have appellate jurisdiction under 28 U.S.C. § 1291. III. Discussion Stadtmauer contends that (1) the District Court erred in giving a willful blindness instruction to the jury; (2) the Court improperly admitted prejudicial lay opinion testimony by a Government witness; (3) the prosecutor violated his obligation to correct false testimony by a Government witness; (4) the Court improperly allowed an IRS agent to testify as an expert witness; and (5) the Court violated the Federal Rules of Evidence and his Sixth Amendment rights by restricting the scope of his cross-examination of Government witnesses. We address each claim in turn. A. Willful Blindness Stadtmauer argues that the District Court erred in giving a willful blindness instruction to the jury for three reasons. Relying on Cheek v. United States, 498 U.S. 192, 111 S.Ct. 604, 112 L.Ed.2d 617 (1991), he first argues that the “willfulness” element of criminal tax offenses— which “requires the Government to prove that the law imposed a duty on the defendant, [and] that the defendant knew of th[at] duty,” id. at 201, 111 S.Ct. 604 — can never be satisfied by willful blindness. Second, he contends that the Court improperly instructed the jury that the element of intent could be satisfied through proof of willful blindness, by analogy in violation of our recent en banc decision in Pierre v. Attorney General, 528 F.3d 180 (3d Cir.2008) (en banc). He finally argues that the trial evidence did not warrant a willful blindness instruction. We exercise plenary review over whether a willful blindness instruction properly stated the law. United States v. Khorozian, 333 F.3d 498, 507-08 (3d Cir. 2003); see also United States v. WertRuiz, 228 F.3d 250, 255 (3d Cir.2000). We review a district court’s determination that the trial evidence justified the instruction for abuse of discretion, United States v. Flores, 454 F.3d 149, 156 (3d Cir.2006), and “view the evidence and the inferences drawn therefrom in the light most favorable to the [G]overnment,” Wert-Ruiz, 228 F.3d at 255. 1. Whether the District Court’s Willful Blindness Instruction Applied to Stadtmauer’s Knowledge of the Law Before turning to Stadtmauer’s first challenge to the District Court’s willful blindness instruction, we address the Government’s contention that the Court’s instruction applied only to Stadtmauer’s knowledge of facts, not his knowledge of the law. The Government’s initial proposed willful blindness instruction plainly applied to Stadtmauer’s knowledge of the law. The final sentence of that instruction stated: “You may find that [the] defendant acted knowingly ... if you find either that the defendant actually knew about the applicable IRS requirements for the prosecution years, or that the defendant deliberately closed his ... eyes to what he ... had every reason to believe.” (Supp.App.60.) Stadtmauer submitted a brief objecting to this instruction. Though he conceded that willful blindness may be appropriate to establish knowledge of facts, he argued that, under Cheek, “willfulness” requires actual knowledge of the law, which cannot be satisfied through deliberate ignorance. At the charging conference, the Government submitted a revised instruction that omitted the reference to Stadtmauer’s knowledge of “applicable IRS requirements.” It instead instructed the jury that the “element of knowledge” would be satisfied if the Government proved beyond a reasonable doubt “a conscious purpose by the defendant to avoid knowledge [that] the tax returns at issue were false or fraudulent as to a material matter.” (App. at 3973-74.) Though the Government revised its charge to address Stadtmauer’s objections, it nonetheless made explicit its position that willful blindness could cover both knowledge of the law and knowledge of facts, arguing that “it is a little difficult to say that it can’t [apply to] legal [knowledge] at all[,] because it’s really kind of a mixed question of law and fact[ ] in many [tax] cases.” (Id. at 3905.) In its final instructions, the District Court gave a willful blindness instruction consistent with the Government’s revised instruction. In relevant part, the Court instructed the jury as follows: The element of knowledge on the part of the defendant may be satisfied by inferences drawn from proof that the defendant closed his eyes to what would otherwise have been obvious to the defendant. A finding beyond a reasonable doubt of a conscious purpose by the defendant to avoid knowledge that the tax returns at issue were false or fraudulent as to a material matter would permit an inference that he had such knowledge. Stated another way, the defendant’s knowledge of a fact or circumstance may be inferred from his willful blindness to the existence of that fact and circumstance. No one can avoid responsibility for a crime by deliberately ignoring what is obvious. Thus, you may find that the defendant knew that the tax returns at issue were false or fraudulent as to a material fact based on evidence that you find exists that proves beyond a reasonable doubt that the defendant was aware of a high probability that the tax returns at issue were false or fraudulent as to a material matter, and two, that defendant consciously and deliberately tried to avoid learning about this fact or circumstance. (App. 3973-74 (emphases added).) Thus, though the Court’s willful blindness instruction referred to Stadtmauer’s “knowledge of a fact or circumstance,” it also instructed the jury that the Government could satisfy its burden of proof on “the element of knowledge” by proving that Stadtmauer consciously avoided learning that the returns were “false or fraudulent as to a material matter,” using language that tracks the applicable statute. See 26 U.S.C. § 7206(2). The Government argues that the Court’s reference to Stadtmauer’s knowledge that the tax returns were “false or fraudulent as to a material matter” was merely “addressed to Stadtmauer’s knowledge of the contents of the returns.” (Appellee’s Br. at 77.) The Government notes, for example, that regardless of Stadtmauer’s knowledge of the relevant tax laws, he could have consciously avoided learning of “the fact that an expenditure from one partnership was falsely represented as a deduction of another partnership,” a question of fact that did not require proof of Stadtmauer’s knowledge of tax law. (Id. at 79.) We disagree. The Government’s charges in this case were not limited to improper deductions for “non-property” expenses (i.e., expenses paid by a partnership different than the one that actually incurred the expense). Indeed, the bulk of the allegedly improper deductions were for expenditures that should have been capitalized, and it was undisputed that these amounts were paid for work that was actually performed. Rather, for this category of deductions (and others), the Government’s theory was that legitimate expenditures were deducted in a fraudulent manner on the partnerships’ tax returns. To prove that Stadtmauer knew the partnership tax returns were “false or fraudulent as to a material matter” with respect to these deductions, the Government needed to establish two “facts” beyond a reasonable doubt: (1) that Stadtmauer knew that these expenditures were claimed as fully deductible business expenses; and (2) that he knew those deductions were impermissible under the relevant tax laws (i.e., that they rendered the tax returns “false or fraudulent as to a material matter”). Cf. United States v. Schiff, 801 F.2d 108, 113 (2d Cir.1986) (noting that in a criminal tax case the defendant’s “knowledge of tax law [is], itself, a fact to be proved as part of the government’s case”) (emphasis in original). In that light, we believe a reasonable juror could have interpreted the District Court’s willful blindness instruction as applying not only to Stadtmauer’s knowledge of facts (i.e., which expenditures were claimed as deductible business expenses on the tax returns), but also his knowledge of the law (ie., whether those deductions were materially “false or fraudulent” under the Tax Code). Accordingly, we turn to Stadtmauer’s argument that the Court’s instruction incorrectly stated the law in that regard. 2. Willful Blindness and Cheek Stadtmauer argues that a willful blindness charge that applies to a defendant’s knowledge of the law is “categorically and unequivocally” inappropriate in a criminal tax case in light of the Supreme Court’s decision in Cheek. (Appellant’s Br. at 69.) We disagree. We begin with the facts of Cheek. The defendant there stopped filing federal income tax returns in 1980 and was charged with (1) willfully failing to file federal income tax returns and (2) willfully attempting to evade income taxes. 498 U.S. at 194, 111 S.Ct. 604. Cheek’s defense at trial was that, as a result of “indoctrination” he received as a member of a group that believed the federal tax system is unconstitutional, he “sincerely believed that the tax laws were being unconstitutionally enforced and that his actions ... were lawful,” and thus had “acted without the willfulness required” for the offenses charged. Id. at 196, 111 S.Ct. 604. The trial court instructed the jury that, to satisfy the element of “willfulness,” the Government was required to “prove the voluntary and intentional violation of a known legal duty, a burden that could not be proved by showing mistake, ignorance, or negligence.” Id. However, the court also instructed the jury that only “an objectively reasonable good-faith misunderstanding of the law would negate willfulness.” Id. (emphasis added). The Seventh Circuit Court affirmed Cheek’s conviction, holding that “even actual ignorance is not a defense unless the defendant’s ignorance was itself objectively reasonable.” Id. at 198, 111 S.Ct. 604. The Supreme Court reversed. It first reaffirmed that the term “willfully,” as used in criminal tax statutes, “carv[es] out an exception to the traditional rule” that ignorance of the law is not a defense to criminal liability. Id. at 200, 111 S.Ct. 604. Second, it reaffirmed its prior decisions establishing that “the standard for the statutory willfulness requirement is the ‘voluntary, intentional violation of a known legal duty.’” Id. at 201, 111 S.Ct. 604 (quoting Pomponio, 429 U.S. at 12, 97 S.Ct. 22); see also United States v. Bishop, 412 U.S. 346, 360, 93 S.Ct. 2008, 36 L.Ed.2d 941 (1973). Turning to the jury instruction given in Cheek’s trial, the Court concluded that the trial judge erred in instructing the jury that “a claimed good-faith belief must be objectively reasonable” to “negat[e] ... evidence purporting to show a defendant’s awareness of the legal duty at issue.” 498 U.S. at 203, 111 S.Ct. 604. The Court explained that, in proving that a defendant had “actual knowledge” of the legal duty imposed on him by the tax laws, the Government must also negat[e] a defendant’s claim of ignorance of the law or a claim that because of a misunderstanding of the law, he had a good-faith belief that he was not violating any of the provisions of the tax laws. This is so because one cannot be aware that the law imposes a duty upon him and yet be ignorant of it, misunderstand the law, or believe that the duty does not exist. In the end, the issue is whether, based on all the evidence, the Government has proved that the defendant was aware of the duty at issue, which cannot be true if the jury credits a good-faith misunderstanding and belief submission, whether or not the claimed belief or misunderstanding is objectively reasonable. Id. at 202, 111 S.Ct. 604. The Court thus distinguished between two types of persons: (1) a person with “actual knowledge” of a legal duty, and (2) a person who, in good faith, is ignorant of the duty, misunderstands it, or believes that it does not exist. It held that criminal tax liability could not attach to a person in the latter category. Stadtmauer’s attempt to equate a person who deliberately avoids learning of a legal duty with a person falling within the latter category (e.g., one who is ignorant of that duty by virtue of a good-faith belief or misunderstanding) is not persuasive. The willful, blindness charge, also known as a “deliberate ignorance” charge, originates from the Ninth Circuit Court’s decision in United States v. Jewell, 532 F.2d 697 (9th Cir.1976). See United States v. Caminos, 770 F.2d 361, 365 (3d Cir.1985). Jewell explained that [t]he substantive justification for the [charge] is that deliberate ignorance and positive knowledge are equally culpable. The textual justification is that in common understanding one “knows” facts of which he is less than absolutely certain. To act “knowingly,” therefore, is not necessarily to act only with positive knowledge, but also to act with an awareness of the high probability of the existence of the fact in question. When such awareness is present, “positive” knowledge is not required. Jewell, 532 F.2d at 700 (emphasis added). Thus, willful blindness is a “subjective state of mind that is deemed to satisfy a scienter requirement of knowledge,” United States v. One 1973 Rolls Royce, 43 F.3d 794, 808 (3d Cir.1994), and “cannot become a safe harbor for culpable conduct,” WertRuiz, 228 F.3d at 258. We see nothing in Cheek — which did not involve a willful blindness instruction— that suggests the Supreme Court intended to exempt criminal tax prosecutions from this general rule. Cf. United States v. Bussey, 942 F.2d 1241, 1249 (8th Cir.1991) (defendant’s reliance on Cheek in challenging willful blindness instruction in criminal tax trial was “seriously misplaced” because “Cheek did not involve a willful blindness instruction”). The justification for requiring knowledge of the relevant tax laws is that, “in our complex tax system, uncertainty often arises even among taxpayers who earnestly wish to follow the law, and it is not the purpose of the law to penalize frank difference^] of opinion or innocent errors made despite the exercise of reasonable care.” Cheek, 498 U.S. at 205, 111 S.Ct. 604 (internal quotation marks and citation omitted); see also Bryan v. United States, 524 U.S. 184, 195, 118 S.Ct. 1939, 141 L.Ed.2d 197 (1998) (explaining that “[t]he danger of convicting individuals engaged in apparently innocent activity” is what “motivated [the Court’s] decision[]” in Cheek)-, United States v. Murdock, 290 U.S. 389, 396, 54 S.Ct. 223, 78 L.Ed. 381 (1933) (“Congress did not intend that a person, by reason of a bona fide misunderstanding ..., should become a criminal by his mere failure to measure up to the prescribed standard of conduct.”), overruled on other grounds by Murphy v. Waterfront Comm’n, 378 U.S. 52, 84 S.Ct. 1594, 12 L.Ed.2d 678 (1964). By definition, one who intentionally avoids learning of his tax obligations is not a taxpayer who “earnestly wishfes] to follow the law,” or fails to do so as a result of an “innocent error[ ] made despite the exercise of reasonable care.” Cheek, 498 U.S. at 205, 111 S.Ct. 604 (internal quotation marks and citation omitted). Rather, a person who deliberately evades learning his legal duties has a subjectively culpable state of mind that goes beyond mere negligence, a good faith misunderstanding, or even recklessness. Cf. Wert-Ruiz, 228 F.3d at 237 (“Willful blindness is not to be equated with negligence or lack of due care, for willful blindness is a subjective state of mind that is deemed to satisfy a scienter requirement of knowledge.” (internal quotation marks and citation omitted)); see also 1973 Rolls Royce, 43 F.3d at 808 (describing the “mainstream conception of willful blindness as a state of mind of much greater culpability than simple negligence or recklessness, and more akin to knowledge”). Several of our sister circuit courts have similarly concluded that a willful blindness instruction that applies to a defendant’s knowledge of tax law does not run afoul of Cheek. See United States v. Anthony, 545 F.3d 60, 64-65 (1st Cir.2008); United States v. Dean, 487 F.3d 840, 851 (11th Cir.2007); Bussey, 942 F.2d at 1248-49. The First and Eleventh Circuit Courts have interpreted Cheek as counseling that, though a belief that one is complying with the tax laws need not be “objectively reasonable” to constitute a defense, it nonetheless must be “held in good faith.” Aw thony, 545 F.3d at 65; see also Dean, 487 F.3d at 851 (reasoning that the Cheek Court had, “albeit, not in so many words,” held that “the law would not countenance” willful blindness to one’s tax obligations). Accordingly, “the defense that the accused did not know of his [legal] duty fails if he came by his ignorance through deliberate avoidance of materials that would have apprised him of his duty, as such avoidance undermines the claim of good faith.” Anthony, 545 F.3d at 65; see also Dean, 487 F.3d at 851 (“A willful blindness instruction is entirely appropriate where the evidence supports a finding that a defendant intentionally insulated himself from knowledge of his tax obligations.”). We agree with the reasoning of these Courts and join them in concluding that a willful blindness instruction that applies to a defendant’s knowledge of the law in a criminal tax case (such as the instruction at issue here) does not run afoul of Cheek. The District Court’s willful blindness instruction in this case also adhered to our precedent requiring that such an instruction “ ‘make clear that the defendant himself was subjectively aware of the high probability of the fact in question, and not merely that a reasonable man would have been aware of the probability.’ ” Werh-Ruiz, 228 F.3d at 255 (quoting Caminos, 770 F.2d at 365). The Court instructed the jury that it must find beyond a reasonable doubt that Stadtmauer (1) “was aware of a high probability that the tax returns at issue were false or fraudulent as to a material matter,” and (2) “consciously and deliberately tried to avoid learning about this fact.” (App.3974.) The Court told the jury that it could not find the element of knowledge satisfied if it found only that Stadtmauer “should have known that the tax returns at issue were false as to a material matter[,] or that a reasonable person would have known of a high probability of that fact.” (Id. (emphases added).) Finally, the Court stressed that it was insufficient that Stadtmauer “may have been stupid or foolish or may have acted out of inadvertence or accident. A showing of negligence or of a good-faith mistake of law is not ... sufficient to support a finding of ... knowledge.” (Id.) The instruction as a whole thus belies Stadtmauer’s claims that the District Court “allowed the jury to substitute a failure to inquire for evidence of actual knowledge of the tax laws”; allowed the jury to convict him simply for being “ignorant of’ or “for misunderstanding” the law; and instructed the jury to apply an “objective test[ ]” in determining whether he had knowledge of the law. (Appellant’s Br. at 70-71.) Accordingly, we conclude that the Court’s willful blindness instruction correctly stated the law. 3. Whether the District Court’s Willful Blindness Instruction Applied to the Element of Specific Intent Though we agree with Stadtmauer that the District Court’s willful blindness instruction could be interpreted as applying to his knowledge of the law, we reject his argument that the instruction also (and impermissibly) applied to the element of intent. In addition to requiring a “known legal duty,” Cheek requires proof that the defendant “voluntarily and intentionally violated that duty.” 498 U.S. at 201, 111 S.Ct. 604. “Willfulness” thus requires more than a general intent to accomplish an act; it requires proof that the act was done with the specific intent to do something that the law forbids. See id. at 200-01, 111 S.Ct. 604; Pomponio, 429 U.S. at 12-13, 97 S.Ct. 22; Murdock, 290 U.S. at 394-95, 54 S.Ct. 223; see also Carter v. United States, 530 U.S. 255, 268, 120 S.Ct. 2159, 147 L.Ed.2d 203 (2000) (explaining that general intent (as opposed to specific intent) requires “that the defendant possessed knowledge [only] with respect to the actus reus of the crime”). The penultimate paragraph of the District Court’s willful blindness instruction stated: [Y]ou may find that the defendant acted knowingly and willfully if you find beyond a reasonable doubt either that the defendant actually knew that the tax returns were false or fraudulent as to a material matter or that the defendant deliberately closed his eyes to what he had every reason to believe. (App.3974.) Stadtmauer argues that the Court’s instruction that the jury could find that Stadtmauer “acted knowingly and willfully” if he “deliberately closed his eyes to what he had every reason to believe” improperly substituted willful blindness for proof of a specific intent, as the element of “willfulness” encompasses both a knowledge and intent component. In that light, Stadtmauer argues that the Court’s instruction by analogy ran afoul of Pierre, where we held that, although “[w]illful blindness can be used to establish knowledge,” it “does not satisfy the specific intent requirement” under the Convention Against Torture (“CAT”). 528 F.3d at 190. Even assuming that the inclusion of these two words (“and willfully”) in the District Court’s willful blindness instruction was technically an incorrect statement of the law, we conclude that the Court’s “instructions, taken as a whole, properly instructed the jury as to the proof required” for the element of intent. United States v. Leahy, 445 F.3d 634, 650 (3d Cir.2006). The Court’s instructions made clear that willful blindness applied only to the element of knowledge. See App. 3973 (“The element of knowledge on the part of the defendant may be satisfied by inferences drawn from proof that the defendant closed his eyes to what, would otherwise have been obvious to him.” (emphasis added)). Indeed, aside from two isolated instances where the Court mentioned the words “willfully” or “willfulness,” its eight-paragraph instruction referred only to the “element of knowledge,” Stadtmauer’s “knowledge that the tax returns at issue were false or fraudulent,” or his “knowledge of a fact or circumstance.” It never mentioned “intent,” “purpose,” or any other language that could be reasonably interpreted as applying to the element of intent. In this context, we cannot agree that a reasonable juror would have concluded from the District Court’s instructions that a finding of willful blindness may also satisfy the element of specific intent. See United States v. Gurary, 860 F.2d 521, 527 n. 6 (2d Cir.1988) (though the trial court “also mentioned conscious avoidance in connection with willfulness, the components of which are knowledge and intent, a fair reading of ... the charge as a whole indicate[d] that conscious avoidance was to be used only in connection with the knowledge component”). Accordingly, we reject Stadtmauer’s contention that the Court’s willful blindness instruction improperly charged the jury as to the element of intent. 4. Whether Trial Evidence Warranted the Willful Blindness Instruction Stadtmauer finally argues that the trial evidence did not warrant a willful blindness instruction, noting simply that “[n]ot one” of the Government’s witnesses directly claimed that he “deliberately tried to shield himself from learning any fact about the tax returns.” (Appellant’s Br. at 75.) We disagree. The Government need not present direct evidence of conscious avoidance to justify a willful blindness instruction. E.g., United States v. Singh, 222 F.3d 6, 11 (1st Cir.2000). In any event, the District Court did not err in concluding that the instruction was warranted in this case. At trial, there was abundant evidence that Stadtmauer was intimately involved with the operations of the partnerships and was aware of how the partnerships characterized capital expenditures, charitable contributions, gift and entertainment expenses, and “non-property” expenses in the general ledgers and financial statements. There was also evidence that, despite this knowledge — and despite the logical inference that, as Bentzlin described, “if there is garbage in, [there’s] garbage out” (App.2281) — Stadtmauer spent very little time reviewing the partnerships’ tax returns, and never asked questions of SSMB as to the propriety of the expenses deducted therein. One possible inference from this is what Stadtmauer asked the jury to draw: that he relied in good faith on his accountants to prepare the tax returns consistent with applicable law (and thus had no need to review them closely). However, another possible inference is that Stadtmauer deliberately avoided “ask[ing] the natural follow-up question[s]” — e.g., whether the deductions claimed in the tax returns were consistent with how expenses were falsely characterized in the general ledgers and reported on the financial statements — despite his awareness of a high probability of that fact. Wert-Ruiz, 228 F.3d at 257; United States v. Brodie, 403 F.3d 123, 158 (3d Cir.2005); see also United States v. Stewart, 185 F.3d 112, 126 (3d Cir.1999) (evidence justified willful blindness instruction in mail fraud and money laundering trial, where the defendant maintained that he “lacked the intent to defraud because he relied upon the findings of solvency reported in state examinations and audit reports,” and where the jury reasonably could have concluded that the defendant “recognized the likelihood of insolvency yet deliberately avoided learning the true facts”). In this context, we conclude that the Court did not abuse its discretion in giving a willful blindness instruction. B. Lay Opinion Testimony Stadtmauer next contends that the District Court admitted impermissible lay opinion testimony as to his knowledge of the falseness of the partnerships’ tax returns by SSMB partner Stanley Bekritsky. We review the admission of lay opinion testimony for abuse of discretion. United States v. Hoffecker, 530 F.3d 137, 170 (3d Cir.2008). 1. Background About one month into trial, the Government informed defense counsel that, during a recent interview in preparation for his testimony, Bekritsky had recalled a tax return signing session during which Stadtmauer asked him “whether the returns were okay to sign.” The Gove