Mathematics
Grade 6
15 min
Graph integers on horizontal and vertical number lines
Graph integers on horizontal and vertical number lines
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Identify positive integers, negative integers, and zero.
Construct accurate horizontal and vertical number lines.
Locate and graph positive integers on both horizontal and vertical number lines.
Locate and graph negative integers on both horizontal and vertical number lines.
Understand the relationship between an integer's value and its position on a number line.
Compare and order integers using their positions on a number line.
Ever wondered how we show temperatures like 5°C above zero or 10°C below zero on a thermometer? 🌡️ Or how to mark different floors in a building, including the basement?
In this lesson, you'll learn how to visually represent integers, which include positive numbers, negative numbers, and zero, on special lines called nu...
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Key Concepts & Vocabulary
TermDefinitionExample
IntegerA whole number (not a fraction or decimal) that can be positive, negative, or zero.-3, 0, 5 are integers. 2.5 is not an integer.
Number LineA straight line on which every point corresponds to a real number, marked at equal intervals.A line with evenly spaced marks for -2, -1, 0, 1, 2, 3...
OriginThe point on a number line that represents the number zero. It's the starting point for counting.On any number line, the mark for '0' is the origin.
Positive IntegersIntegers that are greater than zero. They are usually written without a sign or with a '+' sign.1, 2, 3, 4, 50...
Negative IntegersIntegers that are less than zero. They are always written with a '-' sign in front of the number.-1, -2, -3, -100...
Horizontal Number LineA...
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Core Formulas
Graphing Positive Integers on a Horizontal Number Line
Start at the origin (0). Move to the right by $n$ units to graph a positive integer $n$.
To graph a positive integer like 3, find 0, then count 3 units to the right and place a dot.
Graphing Negative Integers on a Horizontal Number Line
Start at the origin (0). Move to the left by $n$ units to graph a negative integer $-n$.
To graph a negative integer like -4, find 0, then count 4 units to the left and place a dot.
Graphing Positive Integers on a Vertical Number Line
Start at the origin (0). Move upwards by $n$ units to graph a positive integer $n$.
To graph a positive integer like 5, find 0, then count 5 units upwards and place a dot.
Graphing Negative Integers on a Vertical Number Line
Start at the origin...
5 more steps in this tutorial
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Challenging
Two integers, A and B, are graphed on a horizontal number line. Integer A is to the right of the origin, and Integer B is to the left of the origin. Both are the same distance from the origin. Which statement must be true?
A.is greater than B.
B.is greater than A.
C.and B are equal.
D.is the opposite of B.
Challenging
A classmate claims, 'To make a number line, you just need to mark a zero and then write the positive numbers on one side and negative numbers on the other.' What critical detail from the 'Common Pitfalls' is missing from their explanation?
A.The rule that the spacing between all integer marks must be equal.
B.The rule that you must use a dot to mark an integer.
C.The rule that the number line must be a straight line.
D.The rule that positive integers are written with a '+' sign.
Challenging
An object starts at 0 on a grid. It first moves to the position representing -5 on a vertical number line. From there, it moves to a new position by following the rule for graphing +9 on a horizontal number line. What is its final position relative to the origin?
A.9 units right and 5 units up
B.9 units left and 5 units down
C.9 units right and 5 units down
D.5 units left and 9 units up
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