Geometry
Focus: Properties and Relationships
The student will
a) identify the coordinates of a point in a coordinate plane; and
b) graph ordered pairs in a coordinate plane. 


Essential Knowledge and Skills 
 Identify and label the axes of a coordinate plane.
 Identify and label the quadrants of a coordinate plane.
 Identify the quadrant or the axis on which a point is positioned by examining the coordinates (ordered pair) of the point.
 Graph ordered pairs in the four quadrants and on the axes of a coordinate plane.
 Identify ordered pairs represented by points in the four quadrants and on the axes of the coordinate plane.
 Relate the coordinate of a point to the distance from each axis and relate the coordinates of a single point to another point on the same horizontal or vertical line.†Revised March 2011

Essential Understandings 
 Can any given point be represented by more than one ordered pair?
The coordinates of a point define its unique location in a coordinate plane. Any given point is defined by only one ordered pair.
 In naming a point in the plane, does the order of the two coordinates matter? Yes. The first coordinate tells the location of the point to the left or right of the yaxis and the second point tells the location of the point above or below the xaxis. Point (0, 0) is at the origin.


Vertical Articulation 
 SOL 4.10ab  a) ID/describe representations
of points/lines/line
segments/rays/angles; b) ID
representations of lines illustrating
parallelism/perpendicularity
 SOL 5.11  measure
right/acute/obtuse/straight angles
 SOL 7.8  represent transformations of
polygons in the coordinate plane by
graphing
 SOL 8.8ab  a) apply transformations to plane
figures; b) ID applications of
transformations

Instructional Materials 
 VDOE Enhanced Scope and Sequence Lesson: What’s the Point? (PDF)  Identifying coordinates of a point and graphing ordered pairs (Word)
 Notes: Coordinate Plane (flipchart)  21 slides including interactive practice, ActivEngage questions, websites and notes.
 Activity: ActivEngage SelfPaced Coordinate Review (flipchart)  14 review questions on coordinate plane.
 Activity: Coordinate Plane Review (flipchart)  9 interactive practice slides
 Mini Unit: Coordinate Plane (pdf)  includes guided notes, foldable lesson, drawing lesson and project
 VDOE Algebra Readiness Curriculum Companion: Investigating Patterns, Functions, and Algebra (pdf)

Real World Lessons 

Practice 
 Worksheet: Mapping the Coordinate Plane (doc)  integrating SS mapping into Math.
 Worksheet: Coordinate Planes Logos (pdf)  10 practice locating points
 Worksheet: Creature Coordinates (doc)  18 practice problems
 Quiz: Coordinate Plane (doc)  25 questions including locating points, graphing points and vocab matching

SOL Mini Quiz 
 SOL 6.11 Mini Quiz: Coordinate Plane (pdf)

Skills 
 Coordinate Figures: Create a block letter on a coordinate plane (doc)

Videos 
 YouTube: Coordinate Plane and Plotting Points
 PH: Naming coordinates
 PH: Graphing points on the coordinate plane

Explore
Learning 
 City Tour (Coordinates): Go sightseeing in fictional cities all over the world. Learn about coordinates on a graph by navigating around these cities on a gridlike city map. Some landmarks are shown on the map. For others, you are only given the coordinates. Can you find all of them?
 DistanceTime Graphs: Create a graph of a runner's position versus time and watch the runner complete a 40yard dash based on the graph you made. Notice the connection between the slope of the line and the speed of the runner. What will the runner do if the slope of the line is zero? What if the slope is negative? Add a second runner (a second graph) and connect realworld meaning to the intersection of two graphs.
 Points in the Coordinate Plane  Activity A: Identify the coordinates of points in the coordinate plane. Drag the points in the plane and investigate how the coordinates change in response.

Websites 
 Math Playground: Space Boy to the Rescue  Locate the Coordinates
 Math Playground: Locate the Aliens  Identify Coordinate Pairs on a Graph
 MathPlay: Coordinate Plane Jeopardy
 Shodor: Maze Game
 Mr. Nussbaum: Stock the Shelves  A Coordinate Plane Game
 Fun Based Learning: Graphing
 BrainGenie: The Coordinate Plane

VDOE Interventions 
 VDOE Algebra Readiness Curriculum Companion: Investigating Patterns, Functions, and Algebra  The lessons focus on algebraic reasoning. Students explore the relationships found in
number patterns through arithmetic and geometric sequences using variables expressions. They use modeling to collect data, and they learn to record data so that they can see the
relationship that exists among tables, graphs, words, and equations. (pdf)

Common Core
Standards 
5.G.1 
5.G.2 
6.NS.6b 
6.NS.6c 
6.NS.7a 
6.NS.7b 
6.NS.8 
