Mathematics
Grade 7
15 min
Graph integers on horizontal and vertical number lines
Graph integers on horizontal and vertical number lines
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1
Introduction & Learning Objectives
Learning Objectives
Identify and define integers, including positive, negative, and zero.
Construct accurately scaled horizontal and vertical number lines.
Locate and plot any given integer on a horizontal number line.
Locate and plot any given integer on a vertical number line.
Interpret the integer represented by a point on a number line.
Compare and order integers using their positions on a number line.
Ever wondered how we can visually represent temperatures above and below zero, or depths below sea level? 🌡️ Dive into the world of number lines!
In this lesson, you'll learn how to graph integers, both positive and negative, on horizontal and vertical number lines. Understanding this skill is fundamental for visualizing numbers, comparing their values, and building...
2
Key Concepts & Vocabulary
TermDefinitionExample
IntegerA whole number (not a fraction or decimal) that can be positive, negative, or zero. Examples include -3, 0, 5.The numbers -2, -1, 0, 1, 2 are all integers.
Number LineA straight line on which every point corresponds to a real number, and every real number corresponds to a point. It's used to visualize and compare numbers.A horizontal line with tick marks for 0, 1, 2, -1, -2, etc.
OriginThe starting point on a number line, representing the number zero. It's the reference point from which all other numbers are measured.The point labeled '0' in the center of a number line.
Positive IntegerAn integer greater than zero. On a horizontal number line, positive integers are to the right of the origin. On a vertical number line, they are above the or...
3
Core Formulas
Rule for Graphing Positive Integers
To graph a positive integer $n$, start at the origin (0) and move $n$ units in the positive direction.
On a horizontal line, move right. On a vertical line, move up. For example, to graph $3$, move 3 units right/up from $0$.
Rule for Graphing Negative Integers
To graph a negative integer $-n$, start at the origin (0) and move $n$ units in the negative direction.
On a horizontal line, move left. On a vertical line, move down. For example, to graph $-4$, move 4 units left/down from $0$.
Rule for Graphing Zero
The integer $0$ is always located at the origin of the number line.
The origin is the central point from which all other numbers are measured. It is neither positive nor negative.
Rule for Consistent Scaling
Ensure that th...
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Challenging
To get from the point representing the integer 6 to the point representing the integer -4 on a horizontal number line, which movement is required?
A.Move 2 units to the left.
B.Move 10 units to the right.
C.Move 2 units to the right.
D.Move 10 units to the left.
Challenging
On a horizontal number line with consistent unit scaling, Point P is at an unknown location. Point Q is 5 units to the right of P and is labeled with the integer 2. What integer is at Point P, and where is the origin?
A.P is at 7, and the origin is to the left of P.
B.P is at -3, and the origin is between P and Q.
C.P is at -3, and the origin is to the right of Q.
D.P is at 7, and the origin is between P and Q.
Easy
Which of the following is defined as an integer?
A.-3.5
B.0
C.1/2
D.2.75
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