What will you need for this class? Math Binder Lined paper Graph paper A Pencil A colored pen, pencil, marker or highlighter

Topic 1.1 The Cartesian Plane

Cartesian Plane – The plane formed when a horizontal number line and a vertical number line cross. Also called a coordinate grid.

  4 3 2 1 -4 -3 -2 -1 1 2 3 4 -1 -2 -3 -4

X – axis – The Horizontal Line on the number grid. Y – axis – The vertical number line on the coordinate grid.   2 1 -2 -1 1 2 -1 -2

Origin – The point where the x-axis and y-axis cross. Quadrants – The four regions on the coordinate grid.   2 1 -2 -1 1 2 -1 -2

  4 3 2 1 -4 -3 -2 -1 1 2 3 4 -1 -2 -3 -4

Quadrant II Quadrant I Quadrant III Quadrant IV 4 3 2 1 -4 -3 -2 -1 1   4 Quadrant II Quadrant I 3 2 1 -4 -3 -2 -1 1 2 3 4 -1 Quadrant III Quadrant IV -2 -3 -4

Coordinates – The values in an ordered pair. Ordered Pair – (x, y) Examples:

Quadrant II ( - , + ) Quadrant I ( + , + ) Quadrant III ( - , - )   4 Quadrant II ( - , + ) Quadrant I ( + , + ) 3 2 1 -4 -3 -2 -1 1 2 3 4 -1 Quadrant III ( - , - ) Quadrant IV ( + , - ) -2 -3 -4

  4 3 2 1 -4 -3 -2 -1 1 2 3 4 -1 -2 -3 -4

Battle Ship In grade pairs gr 7/gr 8 at your table, you will each color 3 ships onto your playing grid. The ships must each cross over at least 3 coordinates. Once player pair up, one player must guess coordinates on their partners Cartesian Plane, to try and ‘Sink their Battle Ship’

Cartesian Plane Examples (Please Follow Along & Write These Down) Identify points on a coordinate grid.  

Cartesian Plane Examples (Please Follow Along & Write These Down) Plot the following points on a coordinate grid:   A(-4,3), B(-2, -1), C(5, 3), D(4, -1), E(-5, -2)

Textbook Questions In pairs work through the following textbook questions: Note: Pairs must have one grade 7 student & one grade 8 students Math Links 7 – Page 8 #’s – 2, 5, 7, 9, 13 When you’re done, you may play Battleship

Learning Log Response What are the similarities and differences between two points with coordinates (0,3) and (3,0)?