Coordinate Plane
Students develop a coordinate system for the first quadrant of the coordinate plane and use it to solve problems.
In Topic A, students come to realize that any line, regardless of orientation, can be made into a number line by first locating zero, choosing a unit length, and partitioning the length-unit into fractional lengths as desired. This leads to the discovery that a second number line, perpendicular to the first, creates an efficient, precise way to describe the location of these points. These points can be located using coordinate pairs, (a,b). Students describe given points using coordinate pairs and, conversely, use given coordinate pairs to plot points.
Topic B continues as students use given rules (e.g., multiply by 2 and then add 3) to generate coordinate pairs, plot points, and investigate relationships. Patterns in these coordinate pairs are analyzed, leading students to discover that such rules produce sets of points that are in a straight line. Students next generate two number patterns from two given rules, plot the points, and analyze the relationships within the sequences of the ordered pairs.
Topic C finds students drawing figures in the coordinate plane by plotting points to create parallel, perpendicular, and intersecting lines.
Problem solving in the coordinate plane is the focus of Topic D. Students draw symmetric figures using both angle size and distance from a given line of symmetry.
Topic B continues as students use given rules (e.g., multiply by 2 and then add 3) to generate coordinate pairs, plot points, and investigate relationships. Patterns in these coordinate pairs are analyzed, leading students to discover that such rules produce sets of points that are in a straight line. Students next generate two number patterns from two given rules, plot the points, and analyze the relationships within the sequences of the ordered pairs.
Topic C finds students drawing figures in the coordinate plane by plotting points to create parallel, perpendicular, and intersecting lines.
Problem solving in the coordinate plane is the focus of Topic D. Students draw symmetric figures using both angle size and distance from a given line of symmetry.