UNIT 6: Graphing Rational Numbers
IN THIS UNIT, STUDENTS WILL BE EXPECTED TO:
- Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.
- Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane.
- Recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.
- Find and position integers and other rational numbers on a horizontal or vertical number line diagram.
- Find and position pairs of integers and other rational numbers on a coordinate plane.
- Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane.
- Use coordinates and absolute values to find distances between points with the same x-coordinate or the same y-coordinate.
- Draw polygons in the coordinate plane given coordinates for the vertices.
- Use coordinates to find the length of a side joining points with the same x-coordinate or the same y-coordinate.
- Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.
- Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane.
- Recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.
- Find and position integers and other rational numbers on a horizontal or vertical number line diagram.
- Find and position pairs of integers and other rational numbers on a coordinate plane.
- Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane.
- Use coordinates and absolute values to find distances between points with the same x-coordinate or the same y-coordinate.
- Draw polygons in the coordinate plane given coordinates for the vertices.
- Use coordinates to find the length of a side joining points with the same x-coordinate or the same y-coordinate.
LEARNING OBJECTIVES:
6.PAR.8. Graph rational numbers as points on the coordinate plane to represent and solve contextual, mathematical problems; draw polygons using the coordinates for their vertices and find the length of a side of a polygon.
6.PAR.8.1. Locate and position rational numbers on a horizontal or vertical number line; find and position pairs of integers and other rational numbers on a coordinate plane.
6.PAR.8.2. Show and explain that signs of numbers in ordered pairs indicate locations in quadrants of the coordinate plane and determine how two ordered pairs may differ based only on the signs.
6.PAR.8.3. Solve problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same x-coordinate or the same y-coordinate.
6.PAR.8.4. Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same x-coordinate or the same y-coordinate.
6.PAR.8. Graph rational numbers as points on the coordinate plane to represent and solve contextual, mathematical problems; draw polygons using the coordinates for their vertices and find the length of a side of a polygon.
6.PAR.8.1. Locate and position rational numbers on a horizontal or vertical number line; find and position pairs of integers and other rational numbers on a coordinate plane.
6.PAR.8.2. Show and explain that signs of numbers in ordered pairs indicate locations in quadrants of the coordinate plane and determine how two ordered pairs may differ based only on the signs.
6.PAR.8.3. Solve problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same x-coordinate or the same y-coordinate.
6.PAR.8.4. Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same x-coordinate or the same y-coordinate.
LEARNING TARGETS (I Can Statements):
- I can locate and place rational numbers on a horizontal or vertical number line.
- I can find and position pairs of integers and rational numbers on a coordinate plane.
- I can interpret points in all four quadrants on the coordinate plane using numerical and graphical reasoning.
- I can show and explain the relationship between ordered pairs and location in quadrants on the coordinate plane.
- I can solve mathematical problems when graphing points on the coordinate plane.
- I can find the distance between points with the same x-coordinate or y-coordinate using coordinates and absolute values.
- I can graph polygons on a coordinate plane when given the coordinates.
- I can use the coordinates to find the side lengths of polygons on a coordinate plane.
- I can locate and place rational numbers on a horizontal or vertical number line.
- I can find and position pairs of integers and rational numbers on a coordinate plane.
- I can interpret points in all four quadrants on the coordinate plane using numerical and graphical reasoning.
- I can show and explain the relationship between ordered pairs and location in quadrants on the coordinate plane.
- I can solve mathematical problems when graphing points on the coordinate plane.
- I can find the distance between points with the same x-coordinate or y-coordinate using coordinates and absolute values.
- I can graph polygons on a coordinate plane when given the coordinates.
- I can use the coordinates to find the side lengths of polygons on a coordinate plane.
TEXTBOOK CONNECTIONS:
(Use Georgia Reveal Math - Course 1 - 6th Grade)
Module 4 – Integers, Rational Numbers, and the Coordinate Plane
Plot integers and rational numbers on number lines and on the coordinate plane.
Lesson 4-5 The Coordinate Plane
Students will identify ordered pairs, points, and quadrants, and graph ordered pairs on the coordinate plane.
Lesson 4-6 Graph Reflections of Points
Students will graph reflections of points within the coordinate plane.
Lesson 4-7 Absolute Value and Distance
Students will use absolute value to find the distance between points on the coordinate plane.
Module 8 – Area
Find areas of parallelograms, triangles, trapezoids, regular polygons, and polygons on the coordinate plane.
Lesson 8-5 Polygons on the Coordinate Plane
Students will use the coordinate plane to draw and find attributes of polygons.
(Use Georgia Reveal Math - Course 1 - 6th Grade)
Module 4 – Integers, Rational Numbers, and the Coordinate Plane
Plot integers and rational numbers on number lines and on the coordinate plane.
Lesson 4-5 The Coordinate Plane
Students will identify ordered pairs, points, and quadrants, and graph ordered pairs on the coordinate plane.
Lesson 4-6 Graph Reflections of Points
Students will graph reflections of points within the coordinate plane.
Lesson 4-7 Absolute Value and Distance
Students will use absolute value to find the distance between points on the coordinate plane.
Module 8 – Area
Find areas of parallelograms, triangles, trapezoids, regular polygons, and polygons on the coordinate plane.
Lesson 8-5 Polygons on the Coordinate Plane
Students will use the coordinate plane to draw and find attributes of polygons.
IXL SKILLS: