5.G.1 - About the Math, Learning Targets, and Rigor

Full Standard

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).

Learning Targets (I can)

• Explain the coordinate system and recognize the origin.
• Recognize the x-axis and y-axis.
• Identify an ordered pair.
• Explain the relationship between ordered pairs and their locations on the coordinate plane. (i.e. A point shifts to the right as the number in the x coordinate increases. A point shifts to higher as the number in the y coordinate increases. (3,8) is above (3.4) on the same line because they have the same x coordinate and the y coordinate is greater.)

About the Math

Coordinate grids can be used in a variety of ways to make sense of mathematics. Grids are commonly used for maps. They can also be used to visualize equations. This standard is limited to graphing points in the first quadrant of the coordinate plane.  Essential vocabulary for this standard includes: perpendicular, axis, intersect, coordinate system, origin, coordinate, x-axis, y-axis, x-coordinate, y-coordinate, and ordered pair. Visit the online dictionary Links to an external site. or visual math dictionary Links to an external site. for vocabulary support.

Progression of Standard within Grade  4 G/T

This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics.

Progression of this Standard Across Grades

This progression is informed by the Achieve the Core Coherence Map Links to an external site.. Information is not the complete standard.

TASKS

These tasks can be used with small group or whole group instruction.

• How are (1,7) and (7,1) different when plotted on a coordinate grid?
• What is the difference between the x axis and the y axis? Explain by using examples.
• Show students a picture of city streets showing a grid system. For example, this section of New Orleans:
  • Do you see something similar to the coordinate grid? How can coordinate grids help you if you are navigating this city?

• If each unit on the x and y axis represents one mile and travel can only occur horizontally or vertically, how many miles does Sally travel when she moves from (4,5) to (7,11)?
• Without actually graphing the points (2,3), (2,6) and (2,1), will the graph result in a horizontal, diagonal, or vertical line?

SLIDE-BASED TASKS 

  These links are HCPSS created instructional tasks. These tasks are provided in Google slides. These tasks should be used for inspiration and resources, but instruction should start with students having the opportunity to engage with the math first (often involving physical and/or visual models) followed by discussion and explicit instruction to ensure student understanding.

Additional Tasks 

  These links provide instructional ideas connected to this standard. 

   (Links to an external site.) 

• Battle Ship Using Grid Paper Links to an external site. (Illustrative Mathematics)
• Quick Geometry Ideas
• Field Trip Download Field Trip
  (Utah Core Academy)
• Compass Coordinates Download Compass Coordinates
  (Utah Core Academy)
• Creating a Community Download Creating a Community
  (Utah Core Academy)
• Creating a Community Student Resource Sheet Download Creating a Community Student Resource Sheet
  (Utah Core Academy)
• What's the Better Buy? Links to an external site. (Georgia Department of Education, pg. 43-53)

Tasks From Print Resources

  These publications have been provided for each school. They are typically stored in team closets or the media center. Check with your team leader if you cannot find them. 

Print Resources

Book Thumbnail	Book Title	Grade	Pages
	Teaching Student-Centered Mathematics	6-8	Coordinate Slides, Activity 13.15, Page 288 Coordinate Dilations, Activity 13.17, Page 290
	Math In Practice Teaching Fifth-Grade Math	5	Module 14

Centers

  These print resources can be used during independent or center time. These resources could also be used as lesson seeds.

• Coordinate Polygons Download Coordinate Polygons
  (HCPSS-adapted print resource)
• Coordinate Grid Exchange Download Coordinate Grid Exchange
  (HCPSS-adapted print resource)
• Coordinate Grid Polygons Download Coordinate Grid Polygons
  (HCPSS-adapted print resource)

INDEPENDENT PRACTICE/HOMEWORK/ASSESSMENT

  These resource sheets can be used for independent practice, homework, or assessment. They are intended to reinforce procedures and concepts. They should not be used as a source of direct instruction or whole-group practice.

• Coordinate Grid Links to an external site.

• Identify Ordered Pairs 1Links to an external site.
• Identify Ordered Pairs 2Links to an external site.
• Identify Ordered Pairs 3Links to an external site.

Learning Targets

• Explain the coordinate system and recognize the origin.
• Recognize the x-axis and y-axis.
• Identify an ordered pair.
• Explain the relationship between ordered pairs and their locations on the coordinate plane. (i.e. A point shifts to the right as the number in the x coordinate increases. A point shifts to higher as the number in the y coordinate increases. (3,8) is above (3.4) on the same line because they have the same x coordinate and the y coordinate is greater.)

Learning targets identify what students should be able to do. This rubric can be applied to tasks and observations for assessment and/or grading. 

Rubric for Tasks Links to an external site.