ALEX Learning Activity

  

Treasure Map Graphing

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  This learning activity provided by:  
Author: Emily Fogleman
System:Hoover City
School:Brock's Gap Intermediate School
  General Activity Information  
Activity ID: 1863
Title:
Treasure Map Graphing
Digital Tool/Resource:
Treasure Map Graphing
Web Address – URL:
Overview:

Students lead a quest for buried treasure in this geometry game. Students must follow clues to identify x- and y-coordinates on a treasure map, to lead them around the island before landing on the pirate booty. Students will also graph points on the coordinate plane.  

This activity results from the ALEX Resource Gap Project.
  Associated Standards and Objectives  
Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 5
20. Graph points in the first quadrant of the coordinate plane, and interpret coordinate values of points to represent real-world and mathematical problems.
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Use the first quadrant in a coordinate plane to identify coordinates of a given point.
  • Use the first quadrant in a coordinate plane to explain how the location of an ordered pair is determined.
  • Given a real-world situation involving a relationship between two variables, graph a representation of the situation and interpret coordinate values of the points in the context of the problem.
  • Given a graph representing a real-world situation, interpret the coordinate values of the points in the context of the situation.
Teacher Vocabulary:
  • Coordinate system
  • Coordinate plane
  • First quadrant
  • Points
  • Lines
  • Perpendicular
  • X-axis
  • Y-axis
  • Origin
  • Ordered pair
  • Coordinate plane
  • Horizontal
  • Vertical
  • Intersection of lines
Knowledge:
Students know:
  • Specific directions and vocabulary to explain ordered pair location.
  • The first number of an ordered pair 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.
Skills:
Students are able to:
  • Graph points in the first quadrant.
  • Interpret coordinate values in context of the problem.
Understanding:
Students understand that:
  • graphing points on a coordinate plane provides a representation of a mathematical context which aids in visualizing situations and solving problems.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.5.20.1: Define ordered pair of numbers, quadrant one, coordinate plane, and plot points.
M.5.20.2: Label the horizontal axis (x).
M.5.20.3: Label the vertical axis (y).
M.5.20.4: Identify the x- and y- values in ordered pairs.
M.5.20.5: Model writing ordered pairs.

Prior Knowledge Skills:
  • Graph points in the first quadrant.
  • Interpret coordinate values in context of the problem.
Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.5.20 Identify a point on a horizontal number line representing the horizontal x-axis (no greater than 5) and identify a point on a vertical number line representing the y-axis (no greater than 5).

Mathematics
MA2019 (2019)
Grade: 6
11. Find the position of pairs of integers and other rational numbers on the coordinate plane.

a. Identify quadrant locations of ordered pairs on the coordinate plane based on the signs of the x and y coordinates.

b. Identify (a,b) and (a,-b) as reflections across the x-axis.

c. Identify (a,b) and (-a,b) as reflections across the y-axis.

d. Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane, including finding distances between points with the same first or second coordinate.
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Create and interpret coordinate axes with positive and negative coordinates.
  • Given ordered pairs made up of rational numbers, locate and explain the placement of the ordered pair on a coordinate plane.
  • Given two ordered pairs that differ only by signs, locate the points on a coordinate plane and explain the relationship of the locations of the points as reflections across one or both axes.
  • Given real-world and mathematical problems where a coordinate graph will aid in the solution and given a graph of a real-world or mathematical situation, interpret the coordinate values of the points in the context of the situation including finding vertical and horizontal distances.
Teacher Vocabulary:
  • Coordinate plane
  • Quadrants
  • Coordinate values
  • ordered pairs
  • x axis
  • y axis
  • Reflection
Knowledge:
Students know:
  • Strategies for creating coordinate graphs.
  • Strategies for finding vertical and horizontal distance on coordinate graphs.
Skills:
Students are able to:
  • Graph points corresponding to ordered pairs,
  • Represent real-world and mathematical problems on a coordinate plane.
  • Interpret coordinate values of points in the context of real-world/mathematical situations.
  • Determine lengths of line segments on a coordinate plane when the line segment joins points with the same first coordinate (vertical distance) or the same second coordinate (horizontal distance).
Understanding:
Students understand that:
  • A graph can be used to illustrate mathematical situations and relationships. These representations help in conceptualizing ideas and in solving problems,
  • Distances on lines parallel to the axes on a coordinate plane are the same as the related distance on the axis (number line).
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.6.11.1: Define quadrant, coordinate plane, coordinate axes (x-axis and y-axis), horizontal, vertical, and reflection.
M.6.11.2: Demonstrate an understanding of an extended coordinate plane.
M.6.11.3: Draw a four-quadrant coordinate plane.
M.6.11.4: Draw and extend vertical and horizontal number lines.
M.6.11.5: Interpret graphing points in all four quadrants of the coordinate plane in real-world situations.
M.6.11.6: Recall how to graph points in all four quadrants of the coordinate plane.
M.6.11.7: Define ordered pairs.
M.6.11.8: Name the pairs of integers and/or rational numbers of a point on a coordinate plane.
M.6.11.9: Demonstrate when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.
M.6.11.10: Identify which signs indicate the location of a point in a coordinate plane.
M.6.11.11: Recall how to plot ordered pairs on a coordinate plane.
M.6.11.12: Define reflections.
M.6.11.13: Calculate the distances between points having the same first or second coordinate using absolute value.

Prior Knowledge Skills:
  • Model writing ordered pairs.
  • Identify the x- and y- values in ordered pairs.
  • Label the vertical axis (y).
  • Label the horizontal axis (x).
  • Define ordered pair of numbers, quadrant one, coordinate plane, and plot points.
  • Locate positive numbers on a vertical number line.
    Examples: thermometer, map.
  • Locate positive numbers on a horizontal number line.
  • Locate negative numbers on a horizontal number line.
  • Label x- and y-axis and zero on a coordinate.
  • Illustrate vertical and horizontal number lines.
  • Specify locations on the coordinate system.
  • Define x-axis, y-axis, and zero on a coordinate.
  • Define ordered pair of numbers.
  • Locate positive numbers on a horizontal number line.
  • Locate negative numbers on a horizontal number line.
  • Define symmetry.
  • Identify lines of symmetry on one-dimensional figures.
Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.6.11 Graph or identify ordered pairs in the first quadrant of the coordinate plane between 0 and 5, limited to whole numbers.
Learning Objectives:

Students will solve real-world mathematical problems by identifying and graphing points on a coordinate plane using x- and y-coordinates.
  Strategies, Preparations and Variations  
Phase:
During/Explore/Explain, After/Explain/Elaborate
Activity:

This game can be projected on the board to be played as a whole class, or students can use it for individual or partner practice of coordinate plane skills. This activity asks students to identify the coordinates of objects in all four quadrants of the coordinate plane. Fifth-grade teachers may have only focused on Quadrant I, so students may need additional instruction or scaffolding before completing this activity. Treasure Map Graphing may be completed to practice skills or assess after teaching this skill. 

*Note: For negative numbers, students must first click on the number, and then click the red +/- sign. 
Assessment Strategies:

In addition to identifying the coordinates for a given object, students also need to be able to plot the object when given the coordinates.

Teachers should assess student understanding by creating a similar coordinate plane in the classroom and asking students to "plot" objects on the plane when given the x- and y-coordinates.

A worksheet similar to this can be used to assess students' ability to identify and graph points: Points in the Coordinate Plane Worksheet 
Advanced Preparation:

Teachers should practice playing the game before showing to students and ensure that students have compatible devices.
Variation Tips (optional):

For students who have learning deficits, the teacher may choose to modify this learning experience by having students only identify the coordinates of objects located in Quadrant I, or by having students complete a similar activity on a coordinate plane created in the classroom, rather than using this virtual manipulative. 
Notes or Recommendations (optional):
 
  Keywords and Search Tags  
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