diff --git a/src/cdk/overlay/overlay-directives.spec.ts b/src/cdk/overlay/overlay-directives.spec.ts
index 7251c94bb0e..56dc3b1e3c8 100644
--- a/src/cdk/overlay/overlay-directives.spec.ts
+++ b/src/cdk/overlay/overlay-directives.spec.ts
@@ -402,12 +402,21 @@ describe('Overlay directives', () => {
   <button cdk-overlay-origin id="trigger" #trigger="cdkOverlayOrigin">Toggle menu</button>
   <button cdk-overlay-origin id="otherTrigger" #otherTrigger="cdkOverlayOrigin">Toggle menu</button>
 
-  <ng-template cdk-connected-overlay [open]="isOpen" [width]="width" [height]="height"
+  <ng-template cdk-connected-overlay
+            [cdkConnectedOverlayOpen]="isOpen"
+            [cdkConnectedOverlayWidth]="width"
+            [cdkConnectedOverlayHeight]="height"
             [cdkConnectedOverlayOrigin]="triggerOverride || trigger"
-            [hasBackdrop]="hasBackdrop" backdropClass="mat-test-class"
-            (backdropClick)="backdropClickHandler($event)" [offsetX]="offsetX" [offsetY]="offsetY"
-            (positionChange)="positionChangeHandler($event)" (attach)="attachHandler()"
-            (detach)="detachHandler()" [minWidth]="minWidth" [minHeight]="minHeight"
+            [cdkConnectedOverlayHasBackdrop]="hasBackdrop"
+            cdkConnectedOverlayBackdropClass="mat-test-class"
+            (backdropClick)="backdropClickHandler($event)"
+            [cdkConnectedOverlayOffsetX]="offsetX"
+            [cdkConnectedOverlayOffsetY]="offsetY"
+            (positionChange)="positionChangeHandler($event)"
+            (attach)="attachHandler()"
+            (detach)="detachHandler()"
+            [cdkConnectedOverlayMinWidth]="minWidth"
+            [cdkConnectedOverlayMinHeight]="minHeight"
             [cdkConnectedOverlayPositions]="positionOverrides">
     <p>Menu content</p>
   </ng-template>`,
diff --git a/src/cdk/overlay/overlay-directives.ts b/src/cdk/overlay/overlay-directives.ts
index 1de1ab5d53c..e5e6f1388fc 100644
--- a/src/cdk/overlay/overlay-directives.ts
+++ b/src/cdk/overlay/overlay-directives.ts
@@ -161,104 +161,6 @@ export class CdkConnectedOverlay implements OnDestroy, OnChanges {
   get lockPosition() { return this._lockPosition; }
   set lockPosition(value: any) { this._lockPosition = coerceBooleanProperty(value); }
 
-  /**
-   * @deprecated
-   * @deletion-target 6.0.0
-   */
-  @Input('origin')
-  get _deprecatedOrigin(): CdkOverlayOrigin { return this.origin; }
-  set _deprecatedOrigin(_origin: CdkOverlayOrigin) { this.origin = _origin; }
-
-  /**
-   * @deprecated
-   * @deletion-target 6.0.0
-   */
-  @Input('positions')
-  get _deprecatedPositions(): ConnectionPositionPair[] { return this.positions; }
-  set _deprecatedPositions(_positions: ConnectionPositionPair[]) { this.positions = _positions; }
-
-  /**
-   * @deprecated
-   * @deletion-target 6.0.0
-   */
-  @Input('offsetX')
-  get _deprecatedOffsetX(): number { return this.offsetX; }
-  set _deprecatedOffsetX(_offsetX: number) { this.offsetX = _offsetX; }
-
-  /**
-   * @deprecated
-   * @deletion-target 6.0.0
-   */
-  @Input('offsetY')
-  get _deprecatedOffsetY(): number { return this.offsetY; }
-  set _deprecatedOffsetY(_offsetY: number) { this.offsetY = _offsetY; }
-
-  /**
-   * @deprecated
-   * @deletion-target 6.0.0
-   */
-  @Input('width')
-  get _deprecatedWidth(): number | string { return this.width; }
-  set _deprecatedWidth(_width: number | string) { this.width = _width; }
-
-  /**
-   * @deprecated
-   * @deletion-target 6.0.0
-   */
-  @Input('height')
-  get _deprecatedHeight(): number | string { return this.height; }
-  set _deprecatedHeight(_height: number | string) { this.height = _height; }
-
-  /**
-   * @deprecated
-   * @deletion-target 6.0.0
-   */
-  @Input('minWidth')
-  get _deprecatedMinWidth(): number | string { return this.minWidth; }
-  set _deprecatedMinWidth(_minWidth: number | string) { this.minWidth = _minWidth; }
-
-  /**
-   * @deprecated
-   * @deletion-target 6.0.0
-   */
-  @Input('minHeight')
-  get _deprecatedMinHeight(): number | string { return this.minHeight; }
-  set _deprecatedMinHeight(_minHeight: number | string) { this.minHeight = _minHeight; }
-
-  /**
-   * @deprecated
-   * @deletion-target 6.0.0
-   */
-  @Input('backdropClass')
-  get _deprecatedBackdropClass(): string { return this.backdropClass; }
-  set _deprecatedBackdropClass(_backdropClass: string) { this.backdropClass = _backdropClass; }
-
-  /**
-   * @deprecated
-   * @deletion-target 6.0.0
-   */
-  @Input('scrollStrategy')
-  get _deprecatedScrollStrategy(): ScrollStrategy { return this.scrollStrategy; }
-  set _deprecatedScrollStrategy(_scrollStrategy: ScrollStrategy) {
-    this.scrollStrategy = _scrollStrategy;
-  }
-
-  /**
-   * @deprecated
-   * @deletion-target 6.0.0
-   */
-  @Input('open')
-  get _deprecatedOpen(): boolean { return this.open; }
-  set _deprecatedOpen(_open: boolean) { this.open = _open; }
-
-  /**
-   * @deprecated
-   * @deletion-target 6.0.0
-   */
-  @Input('hasBackdrop')
-  get _deprecatedHasBackdrop() { return this.hasBackdrop; }
-  set _deprecatedHasBackdrop(_hasBackdrop: any) { this.hasBackdrop = _hasBackdrop; }
-
   /** Event emitted when the backdrop is clicked. */
   @Output() backdropClick = new EventEmitter<MouseEvent>();
 
diff --git a/src/cdk/overlay/public-api.ts b/src/cdk/overlay/public-api.ts
index 1711f278ade..1e1f786a531 100644
--- a/src/cdk/overlay/public-api.ts
+++ b/src/cdk/overlay/public-api.ts
@@ -25,15 +25,3 @@ export {PositionStrategy} from './position/position-strategy';
 export {GlobalPositionStrategy} from './position/global-position-strategy';
 export {ConnectedPositionStrategy} from './position/connected-position-strategy';
 export {VIEWPORT_RULER_PROVIDER} from '@angular/cdk/scrolling';
-
-/**
- * @deprecated Use CdkConnectedOverlay
- * @deletion-target 6.0.0
- */
-export {CdkConnectedOverlay as ConnectedOverlayDirective} from './overlay-directives';
-
-/**
- * @deprecated Use CdkOverlayOrigin
- * @deletion-target 6.0.0
- */
-export {CdkOverlayOrigin as OverlayOrigin} from './overlay-directives';
diff --git a/src/demo-app/overlay/overlay-demo.html b/src/demo-app/overlay/overlay-demo.html
index ff9dfeecd2c..512ab0927ff 100644
--- a/src/demo-app/overlay/overlay-demo.html
+++ b/src/demo-app/overlay/overlay-demo.html
@@ -19,7 +19,12 @@
   Open menu
 </button>
 
-<ng-template cdk-connected-overlay [origin]="trigger" [width]="500" hasBackdrop [open]="isMenuOpen"
+<ng-template
+  cdk-connected-overlay
+  [cdkConnectedOverlayOrigin]="trigger"
+  [cdkConnectedOverlayWidth]="500"
+  cdkConnectedOverlayHasBackdrop
+  [cdkConnectedOverlayOpen]="isMenuOpen"
   (backdropClick)="isMenuOpen=false">
   <div style="background-color: mediumpurple" >
     This is the menu panel.
diff --git a/src/lib/select/select.html b/src/lib/select/select.html
index 0d4e1943c30..de76f939702 100644
--- a/src/lib/select/select.html
+++ b/src/lib/select/select.html
@@ -17,15 +17,15 @@
 
 <ng-template
   cdk-connected-overlay
-  hasBackdrop
+  cdkConnectedOverlayHasBackdrop
   cdkConnectedOverlayLockPosition
-  backdropClass="cdk-overlay-transparent-backdrop"
-  [scrollStrategy]="_scrollStrategy"
-  [origin]="origin"
-  [open]="panelOpen"
-  [positions]="_positions"
-  [minWidth]="_triggerRect?.width"
-  [offsetY]="_offsetY"
+  cdkConnectedOverlayBackdropClass="cdk-overlay-transparent-backdrop"
+  [cdkConnectedOverlayScrollStrategy]="_scrollStrategy"
+  [cdkConnectedOverlayOrigin]="origin"
+  [cdkConnectedOverlayOpen]="panelOpen"
+  [cdkConnectedOverlayPositions]="_positions"
+  [cdkConnectedOverlayMinWidth]="_triggerRect?.width"
+  [cdkConnectedOverlayOffsetY]="_offsetY"
   (backdropClick)="close()"
   (attach)="_onAttached()"
   (detach)="close()">