Chapter 9

Coordinate Plane

6th Grade: Chapter 9 Outline

Week 20 - Week 21

Essential Questions:

  • How can order pairs be used to represent polygons on a coordinate plane?
  • How do you determine lengths of seqments on a coordinate plane?
  • How do you determine lengths of segments of a coordinate plane?
  • How would you use a coordinate plane to solve real world problems?

Content:

Students will know and understand:

    • Coordinates
    • Coordinate plane
    • x-axis
    • y-axis
    • Quadrants
    • Linear graphs

Skills:

Students Will:

    • Name and locate points on a coordinate plane.
    • Draw and identify polygons on the coordinate plane.
    • Find lengths of horizontal and vertical line segments on a coordinate plane.
    • Solve real world problems involving coordinates and coordinate plane.
    • Solve real world problems involving equations and coordinate plane.

Upon completion of Unit 9:

  • 6.RP.A.3a. Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
  • 6.RP.A.3b. Solve unit rate problems including those involving unit pricing and constant speed.
  • 6.NS.C.6. 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.
  • 6.NS.C.6c. 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.
  • 6.NS.C.8. Solve real-world and mathematical 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 first coordinate or the same second coordinate.
  • 6.EE.C.9. Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.
  • 6.G.A.3. 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 first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.