Integers on the Number Line Student Handout INTEGERS ON THE NUMBER LINE
Student Note-Taking Guide
Name:
Date:
Period:
Concept 1 INTEGERS
The set of whole numbers and their are called integers.
Examples:
Concept 2 THE NUMBER LINE
Integers can be plotted on a number line where positive values are located to the of zero and negative values are located to the of zero.
Practice 1: Plotting Values
Use the open number line below to determine the location of each point. Label the number line and your plotted points.
A: -8
B: 5
C: -2
D: 0
E: 9
a. Which point in the set above has the largest value? Justify your thinking.
b. Which point in the set above has the smallest value? Justify your thinking.
Question 1
Georgie is asked to plot -3 on the number line. Where should Georgie plot the number?
-5
0
5
Question 2
List transactions from least to greatest :
$12, -$5, $8, $3, -$11
Comparison Symbols & Mini-Examples
Greater Than
Symbol: ___ | Ex: ____
Less Than
Symbol: ___ | Ex: ____
Equal To
Symbol: ___ | Ex: ____
Rational Realms Handout Series © Maneuvering the Middle Theme Adaptation Lesson 1 • Page 1 of 2
Guided Learning Continuation
Comparing & Ordering with Context
Lesson 1 Handout
Use your understanding of comparing integers to answer the questions below. Think about number line distance and position relative to zero.
3 Complete Statements (<, >, =)
a. -19 _____ 20
b. 8 _____ -8
c. 0 _____ -7
d. -13 _____ -12
Hint: Smaller numbers sit furthest left.
4 Analyze Student Claims
TY
-6 > -5
NICO
3 > -4
PAUL
0 < -1
Analysis:
5 Read Point B Position
-8
-4
0
4
8
A
B
C
D
Point B:
6 List Play Yards (Greatest to Least)
Play 1 2 3 4 5 6 Yards -8 2 6 14 -5 -9
Keyword Brainstorming
Negative (-)
Equal (0)
Positive (+)
7 Translate Real-World Clues to Integers
A: Football catch of 57 yards
B: Temp dropped 15° overnight
C: Account is credited $14.00
D: Sub at 550 ft below sea level
E: Carbon atom has 6 protons
F: LV temp 101° above zero
G: Bank account overdrawn $27
H: Quarterback loss of 5 yards
Summarize Today's Lesson
Write 2-3 sentences explaining negative number locations relative to zero.
Rational Realms Handout Series © Maneuvering the Middle Theme Adaptation Lesson 1 • Page 2 of 2
Integers on the Number Line Handout Answer Key TEACHER ANSWER KEY
INTEGERS ON THE NUMBER LINE
Teacher Note-Taking Guide (Answer Key)
Name: Answer Key
Date: Class Copy
Period: All Periods
Concept 1 INTEGERS
The set of whole numbers and their opposites are called integers.
Examples: -5, 13, 0, -2, -298, 345
Concept 2 THE NUMBER LINE
Integers can be plotted on a number line where positive values are located to the right of zero and negative values are located to the left of zero.
Practice 1: Plotting Values
Use the open number line below to determine the location of each point. Label the number line and your plotted points.
A: -8
B: 5
C: -2
D: 0
E: 9
-10
-9
-8
-7
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
10
A
C
D
B
E
a. Which point in the set above has the largest value? Justify your thinking.
Point E (9) . It is the furthest to the right on the number line, which represents the largest positive value.
b. Which point in the set above has the smallest value? Justify your thinking.
Point A (-8) . It is the furthest to the left of zero, indicating the smallest negative value.
Question 1 (Key)
Georgie is asked to plot -3 on the number line. Where should Georgie plot the number?
-5
-4
-3
-2
-1
0
1
2
3
4
5
Plot point 3 ticks to the left of 0.
Question 2 (Key)
List transactions from least to greatest :
$12, -$5, $8, $3, -$11
Answer:
-$11, -$5, $3, $8, $12
Comparison Symbols & Mini-Examples (Key)
Greater Than
Symbol: > | Ex: 5 > 3
Less Than
Symbol: < | Ex: 3 < 5
Integers on the Number Line Slides Lesson 1: Number Line Frontiers
INTEGERS
ON THE NUMBER LINE
Unlocking positive & negative magnitudes. Learn to locate, compare, and order the whole numeric realm.
Rational Realms Lesson Series Grade 6 Math
1 What is an Integer?
Concept Definition
The Definition
The set of whole numbers and their opposites are called integers .
Examples of Integers
-5
13
0
-2
-298
345
Write this definition down in your Note-Taking Handout! Slide 2 of 7
2 The Number Line Landscape
Concept Definition
Positive values are located to the RIGHT of zero.LEFT of zero.
← Negative Values (< 0) Positive Values (> 0) →
-5
-4
-3
-2
-1
0
1
2
3
4
5
Zero is NEUTRAL—it is neither positive nor negative! Slide 3 of 7
✓ Guided Practice: Let's Plot!
Practice Walkthrough
Together, let's locate and plot these values on your handout's number line:
A: -8
B: 5
C: -2
D: 0
E: 9
Which point has the largest value? Which has the smallest?
Smallest: A (-8) | Largest: E (9)
The further a negative value is from zero, the SMALLER it is! Slide 4 of 7
3 Comparing Integers
Inequalities
How do we determine which number is larger?
Think about position: the number furthest to the RIGHT is always greater.
Key rule: Positive numbers are always greater than negative numbers. Zero is always greater than any negative number.
Check Answers
a. -19 < 20 (Neg < Pos)
b. 8 > -8 (Pos > Neg)
c. 0 > -7 (Zero > Neg)
d. -13 < -12 (-13 is further left)
Compare these to your handout answers! Slide 5 of 7
✓ Analyze the Student Claims!
Class Discussion
Three students wrote statements on their boards. Let's inspect who is correct and identify the errors!
Integers on the Number Line Independent Practice INTEGERS ON THE NUMBER LINE
Independent Practice / Homework
Name:
Date:
Period:
Use your understanding of locating, comparing, and ordering integers to answer the questions below. Show your reasoning where necessary.
1 Locating Points on the Number Line
Match each description with a point, then plot and label points A through H on the line below.
A. An integer 3 to the left of 0
B. Six more than -1
C. Neither positive nor negative
D. Six less than 9
E. Any negative integer less than -5
F. The most positive integer on the line
G. Any positive integer greater than 6
H. The most negative integer on the line
-10
-9
-8
-7
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
10
2 Student Ordering Boards Analysis
Mrs. French asks students to correctly order integer sets from least to greatest . Determine which students ordered correctly and identify the specific mistakes of those who did not.
Joelle
-6, -8, -14, 21, 32
Erma
28, 14, 12, 4, -2, -1
Hugh
13, -19, 25, -33
Damon
-2, -7, -11, -16
Ebony
-19, -11, -7, -3, -1
Holly
-9, -4, -2, 14, 21
Analysis Response & Justification:
3 Corey's Number Match Grid
Corey selects all numbers that are less than -5 but greater than -20. Shade the values on the grid Corey should choose:
-9
7
-5
6
-3
-11
-15
18
0
4 Identify the Missing Integer
Determine the scale interval of the number line below. What integer is represented by the box pointing to the tick mark?
-12
Rational Realms Unit Blueprint Curriculum Design Series
RATIONAL REALMS
GRADE: 6th Math
UNIT: 3 (Rational Numbers)
Unit Planning & Pacing Blueprint VERSION 2026.1
Unit Big Ideas
Students will construct deep conceptual understanding of numbers below zero, ordering rational numbers across fractions/decimals, identifying factors and multiples (GCF/LCM) to solve real-world loops, and using absolute value to measure spatial distance and magnitude.
Target Standards
CCSS.6.NS.C.5: Positive/Negative quantitiesCCSS.6.NS.C.6: Rational numbers on lineCCSS.6.NS.C.7: Comparing & Absolute ValueCCSS.6.NS.B.4: GCF, LCM & Distributive Prop
Instructional Sequence & Pacing Guide
Day/s Lesson Title Core Content & Visual Strategy Key Assessment Hook 1 - 2 Integers on the Number Line Plotting integers; matching words (deposit, descend) to signed values; 0 as neutral base. Real-world word translations 3 - 4 Comparing & Ordering Rationals Fractions/decimals on coordinates; inequality symbols (<, >, =); comparing cold temps. Order check (least to greatest) 5 - 6 Finding GCF & LCM Factor trees; list methods; Venn Diagrams; grouping items (GCF) vs. repeating patterns (LCM). Venn loops & periodic events 7 Mid-Unit Assessment Covers Lessons 1-3. Focus on ordering and GCF/LCM word application. Formative Milestone Quiz 8 - 9 Absolute Value Concept Absolute value as absolute distance x 10 End-of-Unit Exam Summative check spanning integers, rational scaling, GCF, LCM, and magnitude distance. Rigorous Unit Assessment
Core Vocabulary
Integer: Whole & negative sets
Rational No: Fraction/decimal a/b
GCF: Greatest common factor
LCM: Least common multiple
Opposites: Same distance, opposite side
Absolute Value: Distance from zero
