diff --git a/dev/benchmarks/microbenchmarks/lib/geometry/curves_bench.dart b/dev/benchmarks/microbenchmarks/lib/geometry/curves_bench.dart
index b0871a35ed2..298e94e13a4 100644
--- a/dev/benchmarks/microbenchmarks/lib/geometry/curves_bench.dart
+++ b/dev/benchmarks/microbenchmarks/lib/geometry/curves_bench.dart
@@ -2,7 +2,6 @@
 // Use of this source code is governed by a BSD-style license that can be
 // found in the LICENSE file.
 
-import 'dart:ui';
 import 'package:flutter/animation.dart';
 
 import '../common.dart';
diff --git a/packages/flutter/lib/animation.dart b/packages/flutter/lib/animation.dart
index 88bec71868d..24255db7eeb 100644
--- a/packages/flutter/lib/animation.dart
+++ b/packages/flutter/lib/animation.dart
@@ -160,6 +160,9 @@
 ///    explicit [Animation] to animate their properties.
 library animation;
 
+// AnimationController can throw TickerCanceled
+export 'package:flutter/scheduler.dart' show TickerCanceled;
+
 export 'src/animation/animation.dart';
 export 'src/animation/animation_controller.dart';
 export 'src/animation/animations.dart';
diff --git a/packages/flutter/lib/src/animation/animation.dart b/packages/flutter/lib/src/animation/animation.dart
index 8c910833d1e..a4003e1861e 100644
--- a/packages/flutter/lib/src/animation/animation.dart
+++ b/packages/flutter/lib/src/animation/animation.dart
@@ -7,6 +7,10 @@ import 'package:flutter/foundation.dart';
 
 import 'tween.dart';
 
+export 'dart:ui' show VoidCallback;
+
+export 'tween.dart' show Animatable;
+
 // Examples can assume:
 // late AnimationController _controller;
 
diff --git a/packages/flutter/lib/src/animation/animation_controller.dart b/packages/flutter/lib/src/animation/animation_controller.dart
index 6491ac5f0ea..da359a0780e 100644
--- a/packages/flutter/lib/src/animation/animation_controller.dart
+++ b/packages/flutter/lib/src/animation/animation_controller.dart
@@ -14,7 +14,11 @@ import 'animation.dart';
 import 'curves.dart';
 import 'listener_helpers.dart';
 
-export 'package:flutter/scheduler.dart' show TickerFuture, TickerCanceled;
+export 'package:flutter/physics.dart' show Simulation, SpringDescription;
+export 'package:flutter/scheduler.dart' show TickerFuture, TickerProvider;
+
+export 'animation.dart' show Animation, AnimationStatus;
+export 'curves.dart' show Curve;
 
 // Examples can assume:
 // late AnimationController _controller, fadeAnimationController, sizeAnimationController;
diff --git a/packages/flutter/lib/src/animation/animations.dart b/packages/flutter/lib/src/animation/animations.dart
index aab34c49b97..2d6b6003965 100644
--- a/packages/flutter/lib/src/animation/animations.dart
+++ b/packages/flutter/lib/src/animation/animations.dart
@@ -11,6 +11,11 @@ import 'animation.dart';
 import 'curves.dart';
 import 'listener_helpers.dart';
 
+export 'dart:ui' show VoidCallback;
+
+export 'animation.dart' show Animation, AnimationStatus, AnimationStatusListener;
+export 'curves.dart' show Curve;
+
 // Examples can assume:
 // late AnimationController controller;
 
diff --git a/packages/flutter/lib/src/animation/curves.dart b/packages/flutter/lib/src/animation/curves.dart
index 2db9676ae9f..b6eac1cac09 100644
--- a/packages/flutter/lib/src/animation/curves.dart
+++ b/packages/flutter/lib/src/animation/curves.dart
@@ -8,6 +8,8 @@ import 'dart:ui';
 
 import 'package:flutter/foundation.dart';
 
+export 'dart:ui' show Offset;
+
 /// An abstract class providing an interface for evaluating a parametric curve.
 ///
 /// A parametric curve transforms a parameter (hence the name) `t` along a curve
diff --git a/packages/flutter/lib/src/animation/listener_helpers.dart b/packages/flutter/lib/src/animation/listener_helpers.dart
index 9af288c1b1d..acecaa12fb6 100644
--- a/packages/flutter/lib/src/animation/listener_helpers.dart
+++ b/packages/flutter/lib/src/animation/listener_helpers.dart
@@ -7,6 +7,10 @@ import 'package:flutter/foundation.dart';
 
 import 'animation.dart';
 
+export 'dart:ui' show VoidCallback;
+
+export 'animation.dart' show AnimationStatus, AnimationStatusListener;
+
 /// A mixin that helps listen to another object only when this object has registered listeners.
 ///
 /// This mixin provides implementations of [didRegisterListener] and [didUnregisterListener],
diff --git a/packages/flutter/lib/src/animation/tween.dart b/packages/flutter/lib/src/animation/tween.dart
index 47ee5639734..87edd7a3a44 100644
--- a/packages/flutter/lib/src/animation/tween.dart
+++ b/packages/flutter/lib/src/animation/tween.dart
@@ -2,13 +2,16 @@
 // Use of this source code is governed by a BSD-style license that can be
 // found in the LICENSE file.
 
-import 'dart:ui' show Color, Size, Rect;
+import 'dart:ui' show Color, Rect, Size;
 
 import 'package:flutter/foundation.dart';
 
-import 'animation.dart';
 import 'animations.dart';
-import 'curves.dart';
+
+export 'dart:ui' show Color, Rect, Size;
+
+export 'animation.dart' show Animation;
+export 'curves.dart' show Curve;
 
 // Examples can assume:
 // late Animation<Offset> _animation;
diff --git a/packages/flutter/lib/src/animation/tween_sequence.dart b/packages/flutter/lib/src/animation/tween_sequence.dart
index febf3c55cd5..da9d6e743fb 100644
--- a/packages/flutter/lib/src/animation/tween_sequence.dart
+++ b/packages/flutter/lib/src/animation/tween_sequence.dart
@@ -2,10 +2,10 @@
 // Use of this source code is governed by a BSD-style license that can be
 // found in the LICENSE file.
 
-
-import 'animation.dart';
 import 'tween.dart';
 
+export 'tween.dart' show Animatable;
+
 // Examples can assume:
 // late AnimationController myAnimationController;
 
diff --git a/packages/flutter/lib/src/material/arc.dart b/packages/flutter/lib/src/material/arc.dart
index 384a17e5247..d194d08c159 100644
--- a/packages/flutter/lib/src/material/arc.dart
+++ b/packages/flutter/lib/src/material/arc.dart
@@ -7,7 +7,6 @@ import 'dart:ui' show lerpDouble;
 
 import 'package:flutter/animation.dart';
 import 'package:flutter/foundation.dart';
-import 'package:flutter/painting.dart';
 
 // How close the begin and end points must be to an axis to be considered
 // vertical or horizontal.
diff --git a/packages/flutter/lib/src/physics/clamped_simulation.dart b/packages/flutter/lib/src/physics/clamped_simulation.dart
index 0454e914318..943ea80358a 100644
--- a/packages/flutter/lib/src/physics/clamped_simulation.dart
+++ b/packages/flutter/lib/src/physics/clamped_simulation.dart
@@ -6,6 +6,8 @@ import 'package:flutter/foundation.dart';
 
 import 'simulation.dart';
 
+export 'simulation.dart' show Simulation;
+
 /// A simulation that applies limits to another simulation.
 ///
 /// The limits are only applied to the other simulation's outputs. For example,
diff --git a/packages/flutter/lib/src/physics/friction_simulation.dart b/packages/flutter/lib/src/physics/friction_simulation.dart
index b47e4c922e0..b2f1f98d2c9 100644
--- a/packages/flutter/lib/src/physics/friction_simulation.dart
+++ b/packages/flutter/lib/src/physics/friction_simulation.dart
@@ -7,7 +7,8 @@ import 'dart:math' as math;
 import 'package:flutter/foundation.dart';
 
 import 'simulation.dart';
-import 'tolerance.dart';
+
+export 'tolerance.dart' show Tolerance;
 
 /// A simulation that applies a drag to slow a particle down.
 ///
diff --git a/packages/flutter/lib/src/physics/simulation.dart b/packages/flutter/lib/src/physics/simulation.dart
index fc6732185ee..adc61f50d07 100644
--- a/packages/flutter/lib/src/physics/simulation.dart
+++ b/packages/flutter/lib/src/physics/simulation.dart
@@ -6,6 +6,8 @@ import 'package:flutter/foundation.dart';
 
 import 'tolerance.dart';
 
+export 'tolerance.dart' show Tolerance;
+
 /// The base class for all simulations.
 ///
 /// A simulation models an object, in a one-dimensional space, on which particular
diff --git a/packages/flutter/lib/src/physics/spring_simulation.dart b/packages/flutter/lib/src/physics/spring_simulation.dart
index f3063f9c401..90803109ff2 100644
--- a/packages/flutter/lib/src/physics/spring_simulation.dart
+++ b/packages/flutter/lib/src/physics/spring_simulation.dart
@@ -9,6 +9,8 @@ import 'package:flutter/foundation.dart';
 import 'simulation.dart';
 import 'utils.dart';
 
+export 'tolerance.dart' show Tolerance;
+
 /// Structure that describes a spring's constants.
 ///
 /// Used to configure a [SpringSimulation].
diff --git a/packages/flutter/lib/src/rendering/animated_size.dart b/packages/flutter/lib/src/rendering/animated_size.dart
index 831b41b9616..500d6bb9e23 100644
--- a/packages/flutter/lib/src/rendering/animated_size.dart
+++ b/packages/flutter/lib/src/rendering/animated_size.dart
@@ -4,7 +4,6 @@
 
 import 'package:flutter/animation.dart';
 import 'package:flutter/foundation.dart';
-import 'package:flutter/scheduler.dart';
 
 import 'box.dart';
 import 'layer.dart';
diff --git a/packages/flutter/lib/src/widgets/scroll_activity.dart b/packages/flutter/lib/src/widgets/scroll_activity.dart
index 00739788fea..9ce7ecdcc53 100644
--- a/packages/flutter/lib/src/widgets/scroll_activity.dart
+++ b/packages/flutter/lib/src/widgets/scroll_activity.dart
@@ -7,9 +7,7 @@ import 'dart:math' as math;
 
 import 'package:flutter/foundation.dart';
 import 'package:flutter/gestures.dart';
-import 'package:flutter/physics.dart';
 import 'package:flutter/rendering.dart';
-import 'package:flutter/scheduler.dart';
 
 import 'basic.dart';
 import 'framework.dart';
diff --git a/packages/flutter/test/material/tabs_test.dart b/packages/flutter/test/material/tabs_test.dart
index 8cba237505e..1432f0c5a94 100644
--- a/packages/flutter/test/material/tabs_test.dart
+++ b/packages/flutter/test/material/tabs_test.dart
@@ -4,7 +4,6 @@
 
 import 'package:flutter/gestures.dart';
 import 'package:flutter/material.dart';
-import 'package:flutter/physics.dart';
 import 'package:flutter/rendering.dart';
 import 'package:flutter_test/flutter_test.dart';