diff --git a/packages/compiler-cli/src/ngtsc/typecheck/src/dom.ts b/packages/compiler-cli/src/ngtsc/typecheck/src/dom.ts
index 798a3e8288..73d67ad68b 100644
--- a/packages/compiler-cli/src/ngtsc/typecheck/src/dom.ts
+++ b/packages/compiler-cli/src/ngtsc/typecheck/src/dom.ts
@@ -61,7 +61,7 @@ export interface DomSchemaChecker {
  * Checks non-Angular elements and properties against the `DomElementSchemaRegistry`, a schema
  * maintained by the Angular team via extraction from a browser IDL.
  */
-export class RegistryDomSchemaChecker {
+export class RegistryDomSchemaChecker implements DomSchemaChecker {
   private _diagnostics: ts.Diagnostic[] = [];
 
   get diagnostics(): ReadonlyArray<ts.Diagnostic> { return this._diagnostics; }
@@ -71,9 +71,21 @@ export class RegistryDomSchemaChecker {
   checkElement(id: string, element: TmplAstElement, schemas: SchemaMetadata[]): void {
     if (!REGISTRY.hasElement(element.name, schemas)) {
       const mapping = this.resolver.getSourceMapping(id);
+
+      let errorMsg = `'${element.name}' is not a known element:\n`;
+      errorMsg +=
+          `1. If '${element.name}' is an Angular component, then verify that it is part of this module.\n`;
+      if (element.name.indexOf('-') > -1) {
+        errorMsg +=
+            `2. If '${element.name}' is a Web Component then add 'CUSTOM_ELEMENTS_SCHEMA' to the '@NgModule.schemas' of this component to suppress this message.`;
+      } else {
+        errorMsg +=
+            `2. To allow any element add 'NO_ERRORS_SCHEMA' to the '@NgModule.schemas' of this component.`;
+      }
+
       const diag = makeTemplateDiagnostic(
           mapping, element.sourceSpan, ts.DiagnosticCategory.Error,
-          ErrorCode.SCHEMA_INVALID_ELEMENT, `'${element.name}' is not a valid HTML element.`);
+          ErrorCode.SCHEMA_INVALID_ELEMENT, errorMsg);
       this._diagnostics.push(diag);
     }
   }
@@ -83,9 +95,22 @@ export class RegistryDomSchemaChecker {
       schemas: SchemaMetadata[]): void {
     if (!REGISTRY.hasProperty(element.name, name, schemas)) {
       const mapping = this.resolver.getSourceMapping(id);
+
+      let errorMsg =
+          `Can't bind to '${name}' since it isn't a known property of '${element.name}'.`;
+      if (element.name.startsWith('ng-')) {
+        errorMsg +=
+            `\n1. If '${name}' is an Angular directive, then add 'CommonModule' to the '@NgModule.imports' of this component.` +
+            `\n2. To allow any property add 'NO_ERRORS_SCHEMA' to the '@NgModule.schemas' of this component.`;
+      } else if (element.name.indexOf('-') > -1) {
+        errorMsg +=
+            `\n1. If '${element.name}' is an Angular component and it has '${name}' input, then verify that it is part of this module.` +
+            `\n2. If '${element.name}' is a Web Component then add 'CUSTOM_ELEMENTS_SCHEMA' to the '@NgModule.schemas' of this component to suppress this message.` +
+            `\n3. To allow any property add 'NO_ERRORS_SCHEMA' to the '@NgModule.schemas' of this component.`;
+      }
+
       const diag = makeTemplateDiagnostic(
-          mapping, span, ts.DiagnosticCategory.Error, ErrorCode.SCHEMA_INVALID_ATTRIBUTE,
-          `'${name}' is not a valid property of <${element.name}>.`);
+          mapping, span, ts.DiagnosticCategory.Error, ErrorCode.SCHEMA_INVALID_ATTRIBUTE, errorMsg);
       this._diagnostics.push(diag);
     }
   }
diff --git a/packages/compiler-cli/src/ngtsc/typecheck/test/diagnostics_spec.ts b/packages/compiler-cli/src/ngtsc/typecheck/test/diagnostics_spec.ts
index 49cf660e73..255b6623f3 100644
--- a/packages/compiler-cli/src/ngtsc/typecheck/test/diagnostics_spec.ts
+++ b/packages/compiler-cli/src/ngtsc/typecheck/test/diagnostics_spec.ts
@@ -150,7 +150,7 @@ runInEachFileSystem(() => {
 
       expect(messages).toEqual([
         `synthetic.html(1, 29): Property 'heihgt' does not exist on type 'TestComponent'. Did you mean 'height'?`,
-        `synthetic.html(1, 6): 'srcc' is not a valid property of <img>.`,
+        `synthetic.html(1, 6): Can't bind to 'srcc' since it isn't a known property of 'img'.`,
       ]);
     });
 
diff --git a/packages/compiler-cli/test/ngtsc/template_typecheck_spec.ts b/packages/compiler-cli/test/ngtsc/template_typecheck_spec.ts
index a3be05aa27..cff3cd7382 100644
--- a/packages/compiler-cli/test/ngtsc/template_typecheck_spec.ts
+++ b/packages/compiler-cli/test/ngtsc/template_typecheck_spec.ts
@@ -8,7 +8,7 @@
 
 import * as ts from 'typescript';
 
-import {absoluteFrom as _} from '../../src/ngtsc/file_system';
+import {absoluteFrom as _, getFileSystem} from '../../src/ngtsc/file_system';
 import {runInEachFileSystem} from '../../src/ngtsc/file_system/testing';
 import {loadStandardTestFiles} from '../helpers/src/mock_file_loading';
 
@@ -365,7 +365,29 @@ export declare class CommonModule {
       `);
         const diags = env.driveDiagnostics();
         expect(diags.length).toBe(1);
-        expect(diags[0].messageText).toBe(`'foo' is not a valid HTML element.`);
+        expect(diags[0].messageText).toBe(`'foo' is not a known element:
+1. If 'foo' is an Angular component, then verify that it is part of this module.
+2. To allow any element add 'NO_ERRORS_SCHEMA' to the '@NgModule.schemas' of this component.`);
+      });
+
+      it('should have a descriptive error for unknown elements that contain a dash', () => {
+        env.write('test.ts', `
+        import {Component, NgModule} from '@angular/core';
+        @Component({
+          selector: 'blah',
+          template: '<my-foo>test</my-foo>',
+        })
+        export class FooCmp {}
+        @NgModule({
+          declarations: [FooCmp],
+        })
+        export class FooModule {}
+      `);
+        const diags = env.driveDiagnostics();
+        expect(diags.length).toBe(1);
+        expect(diags[0].messageText).toBe(`'my-foo' is not a known element:
+1. If 'my-foo' is an Angular component, then verify that it is part of this module.
+2. If 'my-foo' is a Web Component then add 'CUSTOM_ELEMENTS_SCHEMA' to the '@NgModule.schemas' of this component to suppress this message.`);
       });
 
       it('should check for unknown properties', () => {
@@ -383,7 +405,27 @@ export declare class CommonModule {
       `);
         const diags = env.driveDiagnostics();
         expect(diags.length).toBe(1);
-        expect(diags[0].messageText).toBe(`'foo' is not a valid property of <div>.`);
+        expect(diags[0].messageText)
+            .toBe(`Can't bind to 'foo' since it isn't a known property of 'div'.`);
+      });
+
+      it('should have a descriptive error for unknown properties with an "ng-" prefix', () => {
+        env.write('test.ts', `
+        import {Component, NgModule} from '@angular/core';
+        @Component({
+          selector: 'blah',
+          template: '<div [foo]="1">test</div>',
+        })
+        export class FooCmp {}
+        @NgModule({
+          declarations: [FooCmp],
+        })
+        export class FooModule {}
+      `);
+        const diags = env.driveDiagnostics();
+        expect(diags.length).toBe(1);
+        expect(diags[0].messageText)
+            .toBe(`Can't bind to 'foo' since it isn't a known property of 'div'.`);
       });
 
       it('should convert property names when binding special properties', () => {
@@ -423,8 +465,14 @@ export declare class CommonModule {
       `);
            const diags = env.driveDiagnostics();
            expect(diags.length).toBe(2);
-           expect(diags[0].messageText).toBe(`'custom-element' is not a valid HTML element.`);
-           expect(diags[1].messageText).toBe(`'foo' is not a valid property of <custom-element>.`);
+           expect(diags[0].messageText).toBe(`'custom-element' is not a known element:
+1. If 'custom-element' is an Angular component, then verify that it is part of this module.
+2. If 'custom-element' is a Web Component then add 'CUSTOM_ELEMENTS_SCHEMA' to the '@NgModule.schemas' of this component to suppress this message.`);
+           expect(diags[1].messageText)
+               .toBe(`Can't bind to 'foo' since it isn't a known property of 'custom-element'.
+1. If 'custom-element' is an Angular component and it has 'foo' input, then verify that it is part of this module.
+2. If 'custom-element' is a Web Component then add 'CUSTOM_ELEMENTS_SCHEMA' to the '@NgModule.schemas' of this component to suppress this message.
+3. To allow any property add 'NO_ERRORS_SCHEMA' to the '@NgModule.schemas' of this component.`);
          });
 
       it('should not produce diagnostics for custom-elements-style elements when using the CUSTOM_ELEMENTS_SCHEMA',