Math for the Week of May 4,2020 Daily Lessons and assignments are found on the district Learning Platform ” ilearn”
Coordinate Systems
In Topic A, students revisit a Grade 3 activity in which lined paper is used to subdivide a length into n equal parts. In Grade 5, this activity is extended as students explore 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. Students are introduced to the concept of a coordinate as describing the distance of a point on the line from zero.
As they construct number lines in various orientations on a plane, students explore ways to describe the position of points not located on the lines. This discussion 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. Thus, points can be located using coordinate pairs, (a,b)(a,b) , by traveling a distance of aa units from the origin along the xx -axis and bb units along a line parallel to the yy -axis.
Students describe given points using coordinate pairs and then use given coordinate pairs to plot points (5.G.A.1). The topic concludes with an investigation of the patterns in coordinate pairs along vertical or horizontal lines, which leads to the discovery that these lines consist of the set of points whose distance from the xx – or yy -axis is constant.
Lessons in this Topic
- Lesson 1: Construct a coordinate system on a line.
- Lesson 2: Construct a coordinate system on a plane.
- Lesson 3: Name points using coordinate pairs, and use the coordinate pairs to plot points.
- Lesson 4: Name points using coordinate pairs, and use the coordinate pairs to plot points.
- Lesson 5: Investigate patterns in vertical and horizontal lines, and interpret points on the plane as distances from the axes.
- Lesson 6: Investigate patterns in vertical and horizontal lines, and interpret points on the plane as distances from the axes.