Topic 14 – Graph Points on the Coordinate Plane

2017-2018 Curriculum Blueprint
Grade: 5
Course: Mathematics
Topic 14 – Graph Points on the Coordinate Plane
Flexible Time
Line
5 days
Topic Overview
Topic 14 develops an understanding of the Cartesian coordinate system. Students graph ordered pairs in the first quadrant of the coordinate plane to solve
real-world and mathematical problems.
4th Grade: The students read and display data on line plots.
Vertical Progression
Coherence Map
6th Grade: The students will be able to graph in all four quadrants of the coordinate grid. The students will use all four quadrants to find distances on a
coordinate plane and graph linear equations.
Learning Goal
Essential Question
Students will be able to identify and plot points on a coordinate grid and describe
How are points plotted?
the relationship of points on a grid.
How are relationships shown on a graph?
Topic 14 Scale
Deconstructed Standards
MAFS.5.G.1.1 (DOK 1) 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 ycoordinate). [Conceptual Understanding]
• Define the coordinate system.
• Identify the x and y axis.
• Locate the origin on the coordinate system.
• Identify coordinates of a point on a coordinate system.
• Recognize and describe the connection between the ordered pair and the x and y axis from the origin.
MAFS.5.G.1.2 (DOK 2) Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret
coordinate values of points in the context of the situation. [Conceptual Understanding; Procedural Skill and Fluency; Application]
• Graph points in the first quadrant.
• Interpret coordinate values of points in real world context and mathematical problems. (addressed more in depth in Topic 15)
• Represent real world and mathematical problems by graphing points in the first quadrant (addressed more in depth in Topic 15)
Math Practice Standard(s)
Link to Mathematical Practice Standards Rubric
MAFS.K12.MP.2.1 Reason abstractly and quantitatively.
MAFS.K12.MP.6.1 Attend to Precision
Suggested Learning Progression
The following learning progression provides students with an opportunity to
construct meaning and create connections through the CRA Method:
Concrete – Representational – Abstract.
*Collaborative teams should be selective in choosing standards-aligned tasks
for instruction and assessment. Teams may adjust the sequence and use
additional resources based on the needs of their students.
Topic 14: Graph Points on the Coordinate Plane
Instructional Practice Idea: Teachers can tape a coordinate plane on the floor
and students can plot cut-out points and/or walk-out coordinates.
Topic Resource: Teaching Tools Coordinate Grades pg. 20 & Centimeter
Grids pg. 9
Lesson 14-1: The Coordinate System (G.1.1)
Instructional Practice Idea: during the Solve and Share, refer to the game
Battleship or have the game available to demonstrate to the students the
concept of the Solve and Share.
• Additional Resources:
o i-Ready Lesson: Understanding the Coordinate Plane
o Georgia Units - Unit 7: Shoo-Fly
o EngageNY - Module 6, Topic A: Lesson 1, 2
Recommended Instructional Sequence
This instructional sequence is intended to provide a framework for student
learning. Various options are listed below each step in the sequence.
Collaborative teams may adjust the sequence as necessary to meet the needs
of their students.
Step 1: 5-Minute Spiral Review
• Pearson Daily Review
• Common Misunderstandings or Errors
Step 2: Problem-Based Learning
• Solve and Share
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Math Formative Assessment System (MFAS) Tasks by Standard
• Illustrative Mathematics Tasks by Standard
Step 3: Focus Lesson & Opportunities for Practice
• Visual Learning Bridge
• Guided Practice
• Thinking Map/Graphic Organizer
• Collaborative work
• Interactive Notebook
• Independent Practice
• Whole Group i-Ready Lesson
• Task Oriented Instruction
(additional opportunities for PBL)
Step 4: Differentiated Instruction
• Small group instruction
• Guided Practice
• Centers/stations (including i-Ready) • Intervention/Enrichment
Step 5: Student Debrief
• Thinking Map/Graphic Organizer
• Reflection
o So what? What did you
• Exit Ticket
learn?
• Interactive Notebook
o So why? Why is it
important?
Higher Order Questions & Writing Connections
Link to Webb’s DOK Guide
*Higher order questions should be utilized to foster a deep, conceptual
understanding of the topic. Encouraging students to express their
mathematical thinking in writing helps them solidify their learning.
Lesson 14-2: Graph Data Using Ordered Pairs* (G.1.1 & G.1.2)
• Additional Resources:
o i-Ready Lesson (Geometry): Polygons in the Coordinate
Plane
o EngageNY - Module 6, Topic A: Lesson 3, 4
Lesson 14-3: Solve Problems Using Ordered Pairs
• Additional Resource: Georgia Units - Unit 7: Air Traffic Controller
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Lesson 14-4: Math Practices and Problem Solving: Reasoning (G.1.1 & G.1.2)
• Additional Resource: i-Ready Lesson (Geometry): Analyze Patterns
and Relationships
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How does a coordinate system work?
How does understanding the coordinate system help you read a map?
What is the relationship between the first and second number in an
ordered pair?
How can I use a pair of perpendicular number lines, called axes, to define a
coordinate system?
*Lessons 14-1 and 14-2 may be combined to save time (if needed).
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Professional Development
Marzano Proficiency Scales Bank
Common Core Flip Books: Provides additional
information and sample problems for every standard
FSA Test Item Specifications
How does understanding the situation in a word problem help you
interpret the resulting ordered pairs?
How is a coordinate plane similar to a number line?
How can understanding a pattern help you generate points on a
coordinate plane?
Pearson enVisionMath2.0
Home-School Connection Page
Reteaching Pages
Daily Review
Resources
Florida Interim Assessment Item Bank and Test Platform
Math Formative Assessment System (MFAS) Tasks by Standard
CPALMS - MFAS includes tasks and rubrics that the teacher can
implement with their students.
Illustrative Mathematics Tasks by Standard
The site illustrates standards with impeccably crafted tasks, videos,
lesson plans, and curriculum modules.
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Essential Vocabulary
coordinate grid
origin
ordered pair
x-axis
y-axis
x-coordinate
y-coordinate