REMEDIATION/RETEACHING NOTES:

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Victor Bradford
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1 6 th Grade Math Teacher(s): 6 th Grade Math Team I. Instructional Goal(s): Geometry/Number Systems 6.G.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. 6.NS.6a. 6.NS.6b. Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., ( 3) = 3, and that 0 is its own opposite. Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes. 6.NS.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.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. Common Core State Standards for Mathematical Practice 7. Look for and make use of structure. II. Performance Objectives I Can I can draw polygons on a coordinate plane. I can solve real world problems with polygons on a coordinate plane. I can describe the meaning of opposites. I can graph ordered pairs and describe their location and relationship to other points. I can explain the distance between 2 coordinates. I can find the distance between 2 coordinates on a coordinate plane. I can graph points to solve problems. I can calculate the area of a polygon on a coordinate grid. I can plot integers (positive or negative) on a number line.

2 Vocabulary Words and Word Analysis A. Word Analysis Instructional Strategy: Interactive Notebook Foldable Frayer Model B. Vocabulary Words for the Week: plot coordinate plane integer opposite numbers quadrant ordered pair x-axis x-coordinate y-axis y-coordinate distance absolute value origin reflection horizontal vertical III. Teaching/Learning Procedures C. Motivational/Introduction: Geometry/Number Systems Warm UP- Monday, Jan.23- BrainPop: Coordinate Plane Tuesday, Jan.24- Learnzillion: Find perimeter and area by finding the length of sides using coordinates Wednesday, Jan.25- Sample Problem Investigation Thursday, Jan.26- Word Wall Vocabulary Review (Geometry) Friday, Jan.27-6.G.3 Quiz D. Teaching/Learning Activities: Concept Development Phase (The Teacher will ) Draw polygons in the coordinate plane given the 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 Solve real-world and mathematical problems involving graphing on the coordinate grid or using a coordinate grid Model locating and plotting rational numbers and their opposites on a number line Demonstrate plotting points on a coordinate grid Graph points in all four quadrants of the coordinate plane Calculate the distance between points on a coordinate plane Use coordinates to find distances between points cc/17

3 6 th Grade Math Teacher(s): 6 th Grade Math Team Plot points to solve real-world problems Exploration Phase (The Student will ) Demonstrate how to plot points using coordinates in all four quadrants using ordered pairs Plot two points on a coordinate plane and find the distance between those points Investigate how to use distance on the coordinate plane to maintain relationships important to various types of polygons Plot integers and their opposites on a coordinate plan to prove they are equally distant from 0 Plot the opposite of an ordered pair as a reflection across one or both axes Understand that zero is its own opposite Locate and plot rational numbers and their opposites on a number line Explain verbally and/or in writing why the placement of an integer (positive or negative) determines its placement on a number line or in a specific quadrant Understand that absolute value can be used to find distance between points anywhere on a coordinate plane Solve real-world and mathematical problems involving graphing on the coordinate grid or using a coordinate grid Concept Application Phase (The Student will ) Graph the reflection of an ordered pair Demonstrate how to plot points using coordinates in all four quadrants using ordered pairs Plot two points on a coordinate plane and find the distance between those points Investigate how to use distance on the coordinate plane to maintain relationships important to various types of polygons Plot integers and their opposites on a coordinate plan to prove they are equally distant from 0 Plot the opposite of an ordered pair as a reflection across one or both axes Understand that zero is its own opposite Locate and plot rational numbers and their opposites on a number line Solve real-world problems or use problem solving tasks involving the coordinate plane Explain how to calculate distance between points on a coordinate plane Make connections between coordinate plane and the geometry of reflections, rotations, and translations Make connections to maps and use coordinate grids on maps to calculate distance between points, calculate area, and draw polygons D. Closure Exit Tickets (Check for understanding) Vocabulary Word Wall (Terms Review) Check for clarity/understanding (Name one new thing you learned today)

4 Student Presentations/Demonstrations IV. Materials Needed 21 st Century Lessons (PPT/Notes/Homework) iready Common Core Lessons (Notes/Practice) YouTube/TeacherTube Khan Academy Tenmarks/Buzzmath Study Island CCSS Toolbox Commoncoresheets Illustrative Math NCTM Illuminations LearnZillion Internet MobiView Explorations in CORE Math Student/Teacher Edition BIG IDEAS Curriculum MDE Mathematics Projector Chromebook/ MacBook Color Pencils/Highlighters/Markers V. Differentiating Instruction Small Group Instruction and Modeling with manipulatives Interactive Notebook Foldable(s) Modeling with pictures, words and numbers Centers (individual/peer coaching) Use graphic organizers VI. Instructional Strategies Strategy 1: Asking Why? Strategy 2: Embed In Context, Present As A Problem Strategy 3: Ongoing Cumulative Review Strategy 4: Ensure A Language-Rich Classroom Strategy 5: Use Every Number As A Chance To Build Number Sense Strategy 6: Draw A Picture (Mental or Real) Strategy 7: Omit What Is No Longer Important Strategy 8: Error Analysis Strategy 9: Peer Tutoring Strategy 10: Apply strategies to Real World Situation cc/17

5 Teacher(s): 6 th Grade Math Team 6 th Grade Math VII. Homework- ALL WORK MUST BE SHOWN Monday, Jan.23- Buzzmath- 6.G.3 Plotting Points & Figures on a Coordinate Grid Tuesday, Jan.24- Vocabulary DUE TODAY!!!/Buzzmath: Locating & Identifying Integers Wednesday, Jan. 25- Tenmarks: Opposite Numbers/Opposite Numbers in the Coordinate Plane Thursday, Jan.26- Tenmarks: Polygons on a Coordinate Plane Friday, Jan G.3 Coordinate Plane w/ Polygons Quiz

Rational Numbers on the Coordinate Plane. 6.NS.C.6c

Rational Numbers on the Coordinate Plane 6.NS.C.6c Copy all slides into your composition notebook. Lesson 14 Ordered Pairs Objective: I can use ordered pairs to locate points on the coordinate plane. Guiding