diff --git a/src/geometry.rs b/src/geometry.rs
index d45dbfd..dd7a74d 100644
--- a/src/geometry.rs
+++ b/src/geometry.rs
@@ -1,12 +1,12 @@
 use std::ops::Add;
 
-#[derive(Debug, Copy, Clone)]
+#[derive(Debug, Copy, Clone, Hash)]
 pub struct Point {
     x: u32,
     y: u32,
 }
 
-#[derive(Debug, Copy, Clone, Eq, PartialEq)]
+#[derive(Debug, Copy, Clone, Eq, PartialEq, Hash)]
 pub struct Rectangle {
     top_left: Point,
     width: u32,
diff --git a/src/main.rs b/src/main.rs
index 8fb6361..a71b302 100644
--- a/src/main.rs
+++ b/src/main.rs
@@ -1,4 +1,5 @@
 mod geometry;
+mod stream_algos;
 
 fn main() {
     let p = geometry::Point::new(2, 3);
diff --git a/src/stream_algos.rs b/src/stream_algos.rs
new file mode 100644
index 0000000..7807576
--- /dev/null
+++ b/src/stream_algos.rs
@@ -0,0 +1,90 @@
+use crate::geometry::{Point, Rectangle};
+use std::collections::HashMap;
+use std::ops::{Add, Mul};
+
+impl Add<Point> for Rectangle {
+    type Output = Self;
+
+    fn add(self, rhs: Point) -> Self {
+        Rectangle::from_corner_width_height(self.top_left() + rhs, self.width(), self.height())
+    }
+}
+
+impl Mul<u32> for Rectangle {
+    type Output = Self;
+
+    fn mul(self, rhs: u32) -> Self {
+        Rectangle::from_corner_width_height(
+            self.top_left(),
+            self.width() * rhs,
+            self.height() * rhs,
+        )
+    }
+}
+
+/// Returns a stream of rectangles by translating (moving) each rectangle according to the given
+/// distance vector.
+pub fn translate<T>(rects: T, distance_vector: Point) -> impl Iterator<Item = Rectangle>
+where
+    T: Iterator<Item = Rectangle>,
+{
+    rects.map(move |r| r + distance_vector)
+}
+
+/// Returns a stream of rectangles by scaling each rectangle by a given amount.
+pub fn scale<T>(rects: T, scale_factor: u32) -> impl Iterator<Item = Rectangle>
+where
+    T: Iterator<Item = Rectangle>,
+{
+    rects.map(move |r| r * scale_factor)
+}
+
+/// Returns a stream containing, in order, the bottom-left point of each input rectangle.
+pub fn bottom_left_points<T>(rects: T) -> impl Iterator<Item = Point>
+where
+    T: Iterator<Item = Rectangle>,
+{
+    rects.map(|r| r.bottom_left())
+}
+
+/// Returns a stream containing all rectangles that intersect with the given rectangle.
+pub fn get_all_intersecting<T>(rects: T, rectangle: &Rectangle) -> impl Iterator<Item = Rectangle>
+where
+    T: Iterator<Item = Rectangle>,
+{
+    // We need to satisfy the borrow checker here.
+    let rectangle = rectangle.clone();
+    rects.filter(move |r| r.intersects(&rectangle))
+}
+
+/// Returns the largest area among the given rectangles
+pub fn get_largest_area(rects: impl Iterator<Item = Rectangle>) -> Option<u32> {
+    rects.map(|r| r.area()).max()
+}
+
+/// Returns the largest height among the given rectangles
+pub fn get_largest_height(rects: impl Iterator<Item = Rectangle>) -> Option<u32> {
+    rects.map(|r| r.height()).max()
+}
+
+/// Returns the sum of the areas of the rectangles
+pub fn get_area_sum(rects: impl Iterator<Item = Rectangle>) -> u32 {
+    rects.map(|r| r.area()).sum()
+}
+
+/// Computes the sum of areas of all rectangles that intersect with the given rectangle.
+pub fn get_area_sum_of_intersecting<T>(rects: T, rectangle: &Rectangle) -> u32
+where
+    T: Iterator<Item = Rectangle>,
+{
+    get_area_sum(get_all_intersecting(rects, rectangle))
+}
+
+/// Returns map from rectangle to computed area
+pub fn get_area_map<T>(rects: T) -> HashMap<Rectangle, u32>
+where
+    T: Iterator<Item = Rectangle>,
+{
+    // The type of the collect() function is chosen based on the return type that it's meant to fit
+    rects.map(|r| (r, r.area())).collect()
+}