July 20, 2009

This lesson will look at (simpler) problems involving coordinates and slope. After we build p this notation, we will revisit the previous problems to make sure we can make connections across the multiple representations (i.e. the DANG method).

The following questions will be discussed in small groups and are review based upon State and National Standards. The problems assess coordinates, Pythagorean theorem, and the relationship between tables and graphs. Next lesson we will focus upon slope, slope as a rate, and graphs of linear equations.

- Mathematics > General
- Mathematics > Algebra
- Mathematics > Data Analysis & Probability
- Mathematics > Patterns

- Grade 6
- Grade 7
- Grade 8
- Grade 9
- Grade 10

Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).

Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

describe the key attributes of the coordinate plane, including perpendicular number lines (axes) where the intersection (origin) of the two lines coincides with zero on each number line and the given point (0, 0); the x-coordinate, the first number in an ordered pair, indicates movement parallel to the x-axis starting at the origin; and the y-coordinate, the second number, indicates movement parallel to the y-axis starting at the origin;

graph in the first quadrant of the coordinate plane ordered pairs of numbers arising from mathematical and real-world problems, including those generated by number patterns or found in an input-output table.