Graphing integers

Learning Objectives Identify and locate positive and negative integers on a number line. Plot single integers accurately on a number line. Graph ordered pairs of integers (x, y) on a coordinate plane. Identify the x-coordinate and y-coordinate of a given point on a coordinate plane. Determine the quadrant in which a graphed integer point lies. Understand how to use a number line to compare and order integers. Ever wondered how we can visually represent numbers that go below zero, like temperatures or debt? 📉 In this lesson, you'll discover how to graph integers on both a number line and a coordinate plane. This skill is fundamental for understanding more complex mathematical concepts like linear functions and systems of equations, which you'll encounter later in...

TermDefinitionExample IntegerAny whole number (positive, negative, or zero).Examples of integers include -3, 0, 5, -100, and 27. Number LineA straight line with numbers placed at equal intervals along its length, used to visualize the order and position of numbers.A horizontal line with 0 in the center, positive numbers to the right, and negative numbers to the left. OriginThe starting point on a number line (0) or the intersection of the x-axis and y-axis on a coordinate plane (0,0).The point where the x and y axes cross on a graph. Coordinate PlaneA two-dimensional surface formed by two perpendicular number lines (axes) that intersect at the origin, used for graphing ordered pairs.A grid system, often seen on graph paper, with an x-axis and a y-axis. x-axisThe horizontal number line on...

Graphing an Integer on a Number Line To graph an integer $n$ on a number line, locate the position corresponding to $n$ and place a dot on the line at that point. Positive integers are located to the right of 0, while negative integers are located to the left of 0. The distance from 0 represents the absolute value of the integer. Graphing an Ordered Pair on a Coordinate Plane To graph an ordered pair $(x, y)$, start at the origin $(0,0)$. Move horizontally $x$ units (right for positive $x$, left for negative $x$). Then, from that position, move vertically $y$ units (up for positive $y$, down for negative $y$). Place a dot at the final location. The x-coordinate tells you how far to move along the x-axis, and the y-coordinate tells you how far to move along the y-axis. Always...