diff --git a/src/site/_includes/language-tour/3-built-in-types/lists.html b/src/site/_includes/language-tour/3-built-in-types/lists.html
index c21ae6eb5..f28590e7c 100644
--- a/src/site/_includes/language-tour/3-built-in-types/lists.html
+++ b/src/site/_includes/language-tour/3-built-in-types/lists.html
@@ -120,8 +120,8 @@ <h4> List and Collection methods </h4>
 returns a new collection with only the elements that satisfy a condition.
 The <a href="http://api.dartlang.org/dart_core/Collection.html#every">every()</a> and
 <a href="http://api.dartlang.org/dart_core/Collection.html#some">some()</a> methods
-check whether a collection matches
-every condition or at least one condition, respectively.
+check whether every item in a collection matches a condition
+or if at least one item matches a condition, respectively.
 The <a href="http://api.dartlang.org/dart_core/List.html#sort">sort()</a> method
 lets you sort a list using any criteria you like.
 </p>
diff --git a/src/site/_includes/language-tour/3-built-in-types/numbers.html b/src/site/_includes/language-tour/3-built-in-types/numbers.html
index fce2e9407..d6b84571b 100644
--- a/src/site/_includes/language-tour/3-built-in-types/numbers.html
+++ b/src/site/_includes/language-tour/3-built-in-types/numbers.html
@@ -57,12 +57,14 @@
 </p>
 
 {% highlight dart %}
+#import('dart:math'); // Needed for math functions. See libraries section
+
 // String -> int
-var one = Math.parseInt("1");
+var one = parseInt("1");
 assert(one == 1);
 
 // String -> double
-var onePointOne = Math.parseDouble("1.1");
+var onePointOne = parseDouble("1.1");
 assert(onePointOne == 1.1);
 
 // int -> String
@@ -80,7 +82,7 @@
 </p>
 
 {% highlight dart %}
-assert((3 < 1) == 6);  // 0011 << 1 == 0110
+assert((3 << 1) == 6);  // 0011 << 1 == 0110
 assert((3 >> 1) == 1);  // 0011 >> 1 == 0001
 assert((3 | 4)  == 7);  // 0011 | 0100 == 0111
 {% endhighlight %}