<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2024 Workiva-->
<!--r:23de4a8d-fcb2-4adf-8bcb-ac43f0e1ed79,g:0f8bc59f-f877-4de3-be92-cf8092734e66-->
<xs:schema xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:apog="http://www.apog.com/20231125" xmlns:xbrli="http://www.xbrl.org/2003/instance" xmlns:dtr-types1="http://www.xbrl.org/dtr/type/2020-01-21" xmlns:xbrldt="http://xbrl.org/2005/xbrldt" attributeFormDefault="unqualified" elementFormDefault="qualified" targetNamespace="http://www.apog.com/20231125">
  <xs:import namespace="http://fasb.org/srt/2023" schemaLocation="https://xbrl.fasb.org/srt/2023/elts/srt-2023.xsd"/>
  <xs:import namespace="http://fasb.org/us-gaap/2023" schemaLocation="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd"/>
  <xs:import namespace="http://www.w3.org/1999/xlink" schemaLocation="http://www.xbrl.org/2003/xlink-2003-12-31.xsd"/>
  <xs:import namespace="http://www.xbrl.org/2003/instance" schemaLocation="http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd"/>
  <xs:import namespace="http://www.xbrl.org/2003/linkbase" schemaLocation="http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd"/>
  <xs:import namespace="http://www.xbrl.org/dtr/type/2020-01-21" schemaLocation="https://www.xbrl.org/dtr/type/2020-01-21/types.xsd"/>
  <xs:import namespace="http://xbrl.org/2005/xbrldt" schemaLocation="http://www.xbrl.org/2005/xbrldt-2005.xsd"/>
  <xs:import namespace="http://xbrl.sec.gov/country/2023" schemaLocation="https://xbrl.sec.gov/country/2023/country-2023.xsd"/>
  <xs:import namespace="http://xbrl.sec.gov/dei/2023" schemaLocation="https://xbrl.sec.gov/dei/2023/dei-2023.xsd"/>
  <xs:import namespace="http://xbrl.sec.gov/ecd/2023" schemaLocation="https://xbrl.sec.gov/ecd/2023/ecd-2023.xsd"/>
  <xs:annotation>
    <xs:appinfo>
      <link:linkbaseRef xmlns:xlink="http://www.w3.org/1999/xlink" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:href="apog-20231125_lab.xml" xlink:role="http://www.xbrl.org/2003/role/labelLinkbaseRef" xlink:type="simple"/>
      <link:linkbaseRef xmlns:xlink="http://www.w3.org/1999/xlink" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:href="apog-20231125_pre.xml" xlink:role="http://www.xbrl.org/2003/role/presentationLinkbaseRef" xlink:type="simple"/>
      <link:linkbaseRef xmlns:xlink="http://www.w3.org/1999/xlink" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:href="apog-20231125_cal.xml" xlink:role="http://www.xbrl.org/2003/role/calculationLinkbaseRef" xlink:type="simple"/>
      <link:linkbaseRef xmlns:xlink="http://www.w3.org/1999/xlink" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:href="apog-20231125_def.xml" xlink:role="http://www.xbrl.org/2003/role/definitionLinkbaseRef" xlink:type="simple"/>
      <link:roleType id="CoverPage" roleURI="http://www.apog.com/role/CoverPage">
        <link:definition>0000001 - Document - Cover Page</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="ConsolidatedBalanceSheetsunaudited" roleURI="http://www.apog.com/role/ConsolidatedBalanceSheetsunaudited">
        <link:definition>0000002 - Statement - Consolidated Balance Sheets (unaudited)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="ConsolidatedResultsofOperationsunaudited" roleURI="http://www.apog.com/role/ConsolidatedResultsofOperationsunaudited">
        <link:definition>0000003 - Statement - Consolidated Results of Operations (unaudited)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="ConsolidatedStatementsofComprehensiveEarningsunaudited" roleURI="http://www.apog.com/role/ConsolidatedStatementsofComprehensiveEarningsunaudited">
        <link:definition>0000004 - Statement - Consolidated Statements of Comprehensive Earnings (unaudited)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="ConsolidatedStatementsofCashFlowsunaudited" roleURI="http://www.apog.com/role/ConsolidatedStatementsofCashFlowsunaudited">
        <link:definition>0000005 - Statement - Consolidated Statements of Cash Flows (unaudited)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="ConsolidatedStatementofShareholdersEquityunaudited" roleURI="http://www.apog.com/role/ConsolidatedStatementofShareholdersEquityunaudited">
        <link:definition>0000006 - Statement - Consolidated Statement of Shareholders Equity (unaudited)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="IncomeTaxes" roleURI="http://www.apog.com/role/IncomeTaxes">
        <link:definition>0000007 - Statement - Income Taxes</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="IncomeTaxesTextual" roleURI="http://www.apog.com/role/IncomeTaxesTextual">
        <link:definition>0000008 - Statement - Income Taxes (Textual)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="SummaryofSignificantAccountingPolicies" roleURI="http://www.apog.com/role/SummaryofSignificantAccountingPolicies">
        <link:definition>0000009 - Disclosure - Summary of Significant Accounting Policies</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="RevenueReceivablesandContractAssetsandLiabilities" roleURI="http://www.apog.com/role/RevenueReceivablesandContractAssetsandLiabilities">
        <link:definition>0000010 - Disclosure - Revenue, Receivables and Contract Assets and Liabilities</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="SupplementalBalanceSheetInformation" roleURI="http://www.apog.com/role/SupplementalBalanceSheetInformation">
        <link:definition>0000011 - Disclosure - Supplemental Balance Sheet Information</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="FinancialInstruments" roleURI="http://www.apog.com/role/FinancialInstruments">
        <link:definition>0000012 - Disclosure - Financial Instruments</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="GoodwillandOtherIdentifiableIntangibleAssets" roleURI="http://www.apog.com/role/GoodwillandOtherIdentifiableIntangibleAssets">
        <link:definition>0000013 - Disclosure - Goodwill and Other Identifiable Intangible Assets</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="Debt" roleURI="http://www.apog.com/role/Debt">
        <link:definition>0000014 - Disclosure - Debt</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="CommitmentsandContingentLiabilities" roleURI="http://www.apog.com/role/CommitmentsandContingentLiabilities">
        <link:definition>0000015 - Disclosure - Commitments and Contingent Liabilities</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="ShareBasedCompensation" roleURI="http://www.apog.com/role/ShareBasedCompensation">
        <link:definition>0000016 - Disclosure - Share-Based Compensation</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="EarningsperShare" roleURI="http://www.apog.com/role/EarningsperShare">
        <link:definition>0000017 - Disclosure - Earnings per Share</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="SegmentInformation" roleURI="http://www.apog.com/role/SegmentInformation">
        <link:definition>0000018 - Disclosure - Segment Information</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="RevenueReceivablesandContractAssetsandLiabilitiesTables" roleURI="http://www.apog.com/role/RevenueReceivablesandContractAssetsandLiabilitiesTables">
        <link:definition>9954471 - Disclosure - Revenue, Receivables and Contract Assets and Liabilities (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="SupplementalBalanceSheetInformationTables" roleURI="http://www.apog.com/role/SupplementalBalanceSheetInformationTables">
        <link:definition>9954472 - Disclosure - Supplemental Balance Sheet Information (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="FinancialInstrumentsTables" roleURI="http://www.apog.com/role/FinancialInstrumentsTables">
        <link:definition>9954473 - Disclosure - Financial Instruments (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="GoodwillandOtherIdentifiableIntangibleAssetsTables" roleURI="http://www.apog.com/role/GoodwillandOtherIdentifiableIntangibleAssetsTables">
        <link:definition>9954474 - Disclosure - Goodwill and Other Identifiable Intangible Assets (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="CommitmentsandContingentLiabilitiesTables" roleURI="http://www.apog.com/role/CommitmentsandContingentLiabilitiesTables">
        <link:definition>9954475 - Disclosure - Commitments and Contingent Liabilities (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="ShareBasedCompensationTables" roleURI="http://www.apog.com/role/ShareBasedCompensationTables">
        <link:definition>9954476 - Disclosure - Share-Based Compensation (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="EarningsperShareTables" roleURI="http://www.apog.com/role/EarningsperShareTables">
        <link:definition>9954477 - Disclosure - Earnings per Share (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="SegmentInformationTables" roleURI="http://www.apog.com/role/SegmentInformationTables">
        <link:definition>9954478 - Disclosure - Segment Information (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="SummaryofSignificantAccountingPoliciesDetails" roleURI="http://www.apog.com/role/SummaryofSignificantAccountingPoliciesDetails">
        <link:definition>9954479 - Disclosure - Summary of Significant Accounting Policies (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="RevenueReceivablesandContractAssetsandLiabilitiesRevenueDetails" roleURI="http://www.apog.com/role/RevenueReceivablesandContractAssetsandLiabilitiesRevenueDetails">
        <link:definition>9954480 - Disclosure - Revenue, Receivables and Contract Assets and Liabilities Revenue (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="RevenueReceivablesandContractAssetsandLiabilitiesAccountsReceivableDetails" roleURI="http://www.apog.com/role/RevenueReceivablesandContractAssetsandLiabilitiesAccountsReceivableDetails">
        <link:definition>9954481 - Disclosure - Revenue, Receivables and Contract Assets and Liabilities Accounts Receivable (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="RevenueReceivablesandContractAssetsandLiabilitiesAllowanceforCreditLossesDetails" roleURI="http://www.apog.com/role/RevenueReceivablesandContractAssetsandLiabilitiesAllowanceforCreditLossesDetails">
        <link:definition>9954482 - Disclosure - Revenue, Receivables and Contract Assets and Liabilities Allowance for Credit Losses (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="RevenueReceivablesandContractAssetsandLiabilitiesDetails4" roleURI="http://www.apog.com/role/RevenueReceivablesandContractAssetsandLiabilitiesDetails4">
        <link:definition>9954483 - Disclosure - Revenue, Receivables and Contract Assets and Liabilities (Details 4)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="RevenueReceivablesandContractAssetsandLiabilitiesDetails5" roleURI="http://www.apog.com/role/RevenueReceivablesandContractAssetsandLiabilitiesDetails5">
        <link:definition>9954484 - Disclosure - Revenue, Receivables and Contract Assets and Liabilities (Details 5)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="RevenueReceivablesandContractAssetsandLiabilitiesDetails5_1" roleURI="http://www.apog.com/role/RevenueReceivablesandContractAssetsandLiabilitiesDetails5_1">
        <link:definition>9954484 - Disclosure - Revenue, Receivables and Contract Assets and Liabilities (Details 5)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="SupplementalBalanceSheetInformationComponentsofinventoriesDetails" roleURI="http://www.apog.com/role/SupplementalBalanceSheetInformationComponentsofinventoriesDetails">
        <link:definition>9954485 - Disclosure - Supplemental Balance Sheet Information - Components of inventories (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="FinancialInstrumentsDetails" roleURI="http://www.apog.com/role/FinancialInstrumentsDetails">
        <link:definition>9954486 - Disclosure - Financial Instruments (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="FinancialInstrumentsDetails2" roleURI="http://www.apog.com/role/FinancialInstrumentsDetails2">
        <link:definition>9954487 - Disclosure - Financial Instruments (Details 2)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="FinancialInstrumentsDetails3" roleURI="http://www.apog.com/role/FinancialInstrumentsDetails3">
        <link:definition>9954488 - Disclosure - Financial Instruments (Details 3)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="FinancialInstrumentsDetailsTextual" roleURI="http://www.apog.com/role/FinancialInstrumentsDetailsTextual">
        <link:definition>9954489 - Disclosure - Financial Instruments (Details Textual)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="GoodwillandOtherIdentifiableIntangibleAssetsDetails" roleURI="http://www.apog.com/role/GoodwillandOtherIdentifiableIntangibleAssetsDetails">
        <link:definition>9954490 - Disclosure - Goodwill and Other Identifiable Intangible Assets (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="GoodwillandOtherIdentifiableIntangibleAssetsDetails1" roleURI="http://www.apog.com/role/GoodwillandOtherIdentifiableIntangibleAssetsDetails1">
        <link:definition>9954491 - Disclosure - Goodwill and Other Identifiable Intangible Assets (Details 1)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="GoodwillandOtherIdentifiableIntangibleAssetsDetails2" roleURI="http://www.apog.com/role/GoodwillandOtherIdentifiableIntangibleAssetsDetails2">
        <link:definition>9954492 - Disclosure - Goodwill and Other Identifiable Intangible Assets (Details 2)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="GoodwillandOtherIdentifiableIntangibleAssetsDetailsTextual" roleURI="http://www.apog.com/role/GoodwillandOtherIdentifiableIntangibleAssetsDetailsTextual">
        <link:definition>9954493 - Disclosure - Goodwill and Other Identifiable Intangible Assets (Details Textual)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="DebtDetails" roleURI="http://www.apog.com/role/DebtDetails">
        <link:definition>9954494 - Disclosure - Debt (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="CommitmentsandContingentLiabilitiesDetails1" roleURI="http://www.apog.com/role/CommitmentsandContingentLiabilitiesDetails1">
        <link:definition>9954495 - Disclosure - Commitments and Contingent Liabilities (Details 1)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="CommitmentsandContingentLiabilitiesDetails2" roleURI="http://www.apog.com/role/CommitmentsandContingentLiabilitiesDetails2">
        <link:definition>9954496 - Disclosure - Commitments and Contingent Liabilities (Details 2)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="CommitmentsandContingentLiabilitiesDetailsTextual" roleURI="http://www.apog.com/role/CommitmentsandContingentLiabilitiesDetailsTextual">
        <link:definition>9954497 - Disclosure - Commitments and Contingent Liabilities (Details Textual)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="ShareBasedCompensationDetails" roleURI="http://www.apog.com/role/ShareBasedCompensationDetails">
        <link:definition>9954498 - Disclosure - Share-Based Compensation (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="ShareBasedCompensationDetailsTextual" roleURI="http://www.apog.com/role/ShareBasedCompensationDetailsTextual">
        <link:definition>9954499 - Disclosure - Share-Based Compensation (Details Textual)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="EarningsperShareEarningsperShareDetails" roleURI="http://www.apog.com/role/EarningsperShareEarningsperShareDetails">
        <link:definition>9954500 - Disclosure - Earnings per Share Earnings per Share (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="SegmentInformationSegmentInformationDetailsTextual" roleURI="http://www.apog.com/role/SegmentInformationSegmentInformationDetailsTextual">
        <link:definition>9954501 - Disclosure - Segment Information Segment Information (Details Textual)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="SegmentInformationDetails" roleURI="http://www.apog.com/role/SegmentInformationDetails">
        <link:definition>9954502 - Disclosure - Segment Information (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
    </xs:appinfo>
  </xs:annotation>
  <xs:element id="apog_LargeScaleOpticalMember" abstract="false" name="LargeScaleOpticalMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="apog_ProceedsFromNewMarketsTaxCreditTransactionNetOfDeferredCosts" abstract="false" name="ProceedsFromNewMarketsTaxCreditTransactionNetOfDeferredCosts" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="apog_IntangibleAssetsAccumulatedAmortization" abstract="false" name="IntangibleAssetsAccumulatedAmortization" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="apog_IntangibleAssetsForeignCurrencyTranslation" abstract="false" name="IntangibleAssetsForeignCurrencyTranslation" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="apog_GrossProceedsFromNewMarketsTaxCreditTransaction" abstract="false" name="GrossProceedsFromNewMarketsTaxCreditTransaction" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="apog_AccountsReceivableConstructionContractsMember" abstract="true" name="AccountsReceivableConstructionContractsMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="apog_GoodwillReallocation" abstract="false" name="GoodwillReallocation" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="apog_September2025Member" abstract="true" name="September2025Member" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="apog_ArchitecturalServicesSegmentMember" abstract="true" name="ArchitecturalServicesSegmentMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="apog_TerminationDateDomain" abstract="true" name="TerminationDateDomain" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="apog_ArchitecturalGlassMember" abstract="false" name="ArchitecturalGlassMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="apog_IndefinitelivedIntangibleAssetsExcludingGoodwillNetoftranslationadjustments" abstract="false" name="IndefinitelivedIntangibleAssetsExcludingGoodwillNetoftranslationadjustments" nillable="true" xbrli:periodType="instant" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="apog_GoodwillAndOtherIdentifiableIntangibleAssetsTextualAbstract" abstract="true" name="GoodwillAndOtherIdentifiableIntangibleAssetsTextualAbstract" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:stringItemType"/>
  <xs:element id="apog_SettlementOfNewMarketsTaxCreditTransaction" abstract="false" name="SettlementOfNewMarketsTaxCreditTransaction" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="apog_August2025Member" abstract="true" name="August2025Member" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="apog_RecoveryZoneFacilityBondsMember" abstract="false" name="RecoveryZoneFacilityBondsMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="apog_CompaniesBacklogRelatedToSales" abstract="false" name="CompaniesBacklogRelatedToSales" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="apog_TerminationDateAxis" abstract="true" name="TerminationDateAxis" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrldt:dimensionItem" type="xbrli:stringItemType"/>
  <xs:element id="apog_MunicipalandCorporateBondsMember" abstract="true" name="MunicipalandCorporateBondsMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="apog_NewMarketsTaxCreditTransactionBenefitNet" abstract="false" name="NewMarketsTaxCreditTransactionBenefitNet" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="apog_ArchitecturalFramingSegmentMember" abstract="true" name="ArchitecturalFramingSegmentMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
</xs:schema>
