Math

Coordinate Transformations

Explore how shapes move, flip, rotate, and scale in the coordinate plane. Connect geometry to algebra through the power of transformations.

1

The Coordinate Plane

Points, distances, and midpoints

Lesson 1: Plotting Points Coming Soon
Lesson 2: Distance Formula Coming Soon
Lesson 3: Midpoint Formula Coming Soon
2

Translations

Sliding figures without rotation

Lesson 4: What is a Translation? Coming Soon
Lesson 5: Translation Vectors Coming Soon
Lesson 6: Translating on the Coordinate Plane Coming Soon
3

Reflections

Mirror images across lines

Lesson 7: Reflections Across Axes Coming Soon
Lesson 8: Reflections Across y = x Coming Soon
Lesson 9: Reflections Across Arbitrary Lines Coming Soon
4

Rotations

Turning figures around a point

Lesson 10: Rotation Rules Coming Soon
Lesson 11: 90° and 180° Rotations Coming Soon
Lesson 12: Rotations About Any Point Coming Soon
5

Dilations

Scaling figures larger or smaller

Lesson 13: Scale Factor Coming Soon
Lesson 14: Dilations from the Origin Coming Soon
Lesson 15: Dilations from Any Center Coming Soon
6

Composition of Transformations

Combining multiple transformations

Lesson 16: Composing Two Transformations Coming Soon
Lesson 17: Glide Reflections Coming Soon
Lesson 18: Order of Transformations Coming Soon
7

Symmetry

Identifying and using symmetry

Lesson 19: Line Symmetry Coming Soon
Lesson 20: Rotational Symmetry Coming Soon
Lesson 21: Symmetry in Nature & Art Coming Soon
8

Matrices & Transformations

Using matrices to transform coordinates

Lesson 22: Transformation Matrices Coming Soon
Lesson 23: Matrix Multiplication for Transforms Coming Soon
Lesson 24: Combining Matrices Coming Soon
9

Transformations in 3D

Extending transformations to three dimensions

Lesson 25: 3D Coordinate System Coming Soon
Lesson 26: 3D Translations & Rotations Coming Soon
Lesson 27: Projections & Cross Sections Coming Soon