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 • 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 • • • 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 • 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). • • • 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. • • • • • • • Essential Vocabulary coordinate grid origin ordered pair x-axis y-axis x-coordinate y-coordinate
© Copyright 2026 Paperzz