Jan.23 - Madison County Schools

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6th Grade Math
Teacher(s): 6 Grade Math Team
Week of: Jan.23- Feb.3
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.
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.
6.NS.6b.
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.
REMEDIATION/RETEACHING NOTES:
• Study Island Lesson Mode
* One-To-One
*Simpler Attack Problems
* Video Remediation w/ Practice Problems (Virtual Nerd, Khan Academy, Tenmarks)
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
• Identify the value of an integer based on its location on a number line
• Locate and plot ordered pairs on a coordinate plane
• Identify the coordinates of plotted points
• 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
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Teacher(s): 6 Grade Math Team
6th Grade Math
Week of: Jan.23- Feb.3
• 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
• Identify the value of an integer based on its location on a number line
• Locate and plot ordered pairs on a coordinate plane
• Identify the coordinates of plotted points
• 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
• Identify the value of an integer based on its location on a number line
• Locate and plot ordered pairs on a coordinate plane
• Identify the coordinates of plotted points
• 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)
REMEDIATION/RETEACHING NOTES:
• Study Island Lesson Mode
* One-To-One
*Simpler Attack Problems
* Video Remediation w/ Practice Problems (Virtual Nerd, Khan Academy, Tenmarks)
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Student Presentations/Demonstrations
IV. Materials Needed
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21st 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
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Teacher(s): 6 Grade Math Team
6th Grade Math
Week of: Jan.23- Feb.3
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. 27- 6.G.3 Coordinate Plane w/ Polygons Quiz
REMEDIATION/RETEACHING NOTES:
• Study Island Lesson Mode
* One-To-One
*Simpler Attack Problems
* Video Remediation w/ Practice Problems (Virtual Nerd, Khan Academy, Tenmarks)