Math Unit Template
El Rancho Unified School District
Topic/Main Idea:
Integers
CCSS: CCSS: 6 NS.
C5 Understand that positive and negative numbers are used together to
describe quantities having opposite directions or values. Use positive and
negative numbers to represent quantities in real-world contexts, explaining the
meaning of 0 in each situation.
C6, C6a-c
Understand a rational number as a point on the number line.
Extend number line diagrams and coordinate axes to represent points on the line
and in the plane with negative number coordinates.
Objectives/Concept/Skill (DOK): Level 2/3
Understanding signs of numbers in ordered pairs indicate
locations in quadrants of the coordinate plane.
Timeline: 1ST QUARTER – 7 DAYS
Connections to earlier and next grade levels:
Grade 7 NS.1a-d Apply and extend previous
understandings of addition and subtraction to add and
subtract rational numbers: represent addition and
subtraction on a horizontal or vertical number line diagram.
Performance Task/Activity (DOK): Level 2/3
Students will use negative and positive numbers for plotting coordinates in a fourquadrant grid constructing a city. They will distinguish between negative and
positive numbers as a way to move the bus in a particular direction in order to reach
their destination. See attached PT and Rubric
SBAC Assessment Item References: None available for this standard,
additional online references below.
www.erusd.k12.ca.us/alpha
(go to lesson and activities to number sense to integers)
www.resourceroom.net
(pick Math tab go to Multisensory Teaching Positive and Negative
Integers)
https://www.georgiastandards.org
(go to Grade 6 Mathematics Unit 7 Rational Explorations)
Relevance/Rationale:
Negative and positive numbers are key
elements in comprehending directions
(north, south, east, west) and plotting
coordinates in the appropriate quadrant.
Academic Vocabulary:
positive, negative, opposite, integer, coordinate points,
quadrants, axes, ordered pairs, neutral field, zero pairs,
compare, origins, graphs, plot, north, south, east, west
Textbook References (i.e., Homework Resources):
Use worksheets from the links for homework.
Use link to CCGS Mathematics –Grade 6-Unit 7 pages 10-30
Materials/Manipulative:
integer tiles, number lines, thermometer, 4 quadrant graph
paper, grid paper, map, red and blue pencils
Mathematical Practices
__X_ 1. Makes sense of problems and persevere in solving them.
____ 2. Reason abstractly and quantitatively.
____ 3. Construct viable arguments and critique the reasoning of others.
__X__ 4. Model with Mathematics.
____ 5.
____ 6.
____ 7.
____ 8.
Use appropriate tools strategically.
Attend to precision.
Look for and make use of structure.
Look for and express regularity in repeated reasoning.
Explanation:
1. They will monitor and evaluate their progress and change course if necessary, using their grids and data and asking “Does this make
sense”
4. They will design a plan and apply what they know to simplify the complex scenario and use the tools provided to come up with a
conclusion to their trip.
Lesson Topic:
Representing numbers on a
number line
Absolute Value
Opposites
Coordinate System
LOL (Learning
Objective with Language):
Students will plot integers on a number line and
thermometer using a blue colored pencil to
represent colder temperatures (negative) and use
red color pencils to represent warmer
temperatures (positive)
Student will find the integer’s absolute value by
finding the distance between both sides of the
number line and the origin. Students will know how
to read absolute value sign through practice.
Students will understand what opposite numbers
are by plotting the opposites of a given integer on
either side of the origin. Students will add the
integer number and its opposite on a number line.
Students will plot coordinates using a four
quadrant grid and directional language.
Resources (Instructional
Strategies,
Textbook References, etc.):
• negative #s represented in blue
• positive #’s represented in red
• pair activity (3A, 3B, 4A, 4B) worksheets
• red & blue pencils
• moving right means positive(use red pencil for +)
• moving left means negative(use blue pencil for -)
• worksheet on #lines (#1-20)
• worksheets of a number line
• model examples
• east = right = positive numbers
• west = left = negative numbers
• north = up = positive numbers
• south = down = negative numbers
Enrichment:
Represent rational numbers on
a number line.
Students will plot negative and positive fractions,
decimals, and integers using a number line
• page 19 of the CCGS
• model examples