Mathematics
Grade 5
15 min
Complete a table for a function graph
Complete a table for a function graph
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Identify the x-axis and y-axis on a coordinate plane.
Locate specific points on a graph using ordered pairs (x, y).
Accurately read the x-coordinate and y-coordinate for a given point on a graph.
Transfer coordinate pairs from a graph into a two-column table.
Organize data systematically in a table based on a function graph.
Recognize simple patterns between x and y values derived from a graph.
Have you ever used a map to find a treasure? 🗺️ Just like a map helps us find places, graphs help us see how things are connected!
In this lesson, you'll learn how to read information from a picture graph and put it into an organized table. This skill helps us understand data better and see patterns more clearly.
Real-World Applications
Tracking the growt...
2
Key Concepts & Vocabulary
TermDefinitionExample
Coordinate PlaneA flat surface formed by two number lines that cross each other, used to locate points.Imagine a grid on a piece of paper where you can pinpoint any spot.
x-axisThe horizontal (side-to-side) number line on the coordinate plane.When you walk across a room, you're moving along the x-axis.
y-axisThe vertical (up-and-down) number line on the coordinate plane.When you climb stairs, you're moving along the y-axis.
OriginThe special point (0,0) where the x-axis and y-axis cross. It's the starting point for counting.The very center of a crosshair target.
Ordered Pair (Coordinate Pair)A pair of numbers, written as (x, y), that tells you the exact location of a point on the coordinate plane. The first number is the x-coordinate, and the second is...
3
Core Formulas
Reading an Ordered Pair
An ordered pair is always written as $(x, y)$.
The first number, $x$, tells you how far to move horizontally (left or right) from the origin. The second number, $y$, tells you how far to move vertically (up or down) from the origin.
Locating a Point on a Graph
To find a point $(x, y)$ on a graph, start at the origin $(0,0)$. Move $x$ units horizontally (right if $x$ is positive). Then, from that new spot, move $y$ units vertically (up if $y$ is positive).
This rule ensures you always find the correct spot for any given ordered pair on a graph, especially in the first quadrant.
Transferring Points to a Table
For each point on a graph, identify its ordered pair $(x, y)$. Then, write the $x$-value in the 'x' column of your table and the $...
5 more steps in this tutorial
Sign up free to access the complete tutorial with worked examples and practice.
Sign Up Free to ContinueSample Practice Questions
Challenging
A graph shows a line with points (1, 4), (2, 7), and (3, 10). The table for this graph follows a rule: y = 3x + 1. Using this rule, what would be the y-value when the x-value is 5 (a point not shown on the graph)?
A.16
B.15
C.13
D.9
Challenging
A graph shows points P=(2,6) and Q=(4,8). A student creates the table below. What specific error did the student make when creating the table from the graph?
| x | y |
|---|---|
| 6 | 2 |
| 8 | 4 |
A.The student read the y-axis values incorrectly.
B.The student misaligned the rows in the table.
C.The student swapped the x and y coordinates for each point.
D.The student added 4 to each x-value.
Challenging
A table shows the relationship between gallons of gas (x) and cost in dollars (y). The points are (1, 3.50), (2, 7.00), and (3, 10.50). Which point would also be on the graph that represents this table?
A.(4, 13.00)
B.(1.5, 5.00)
C.(1.5, 5.50)
D.(4, 14.00)
Want to practice and check your answers?
Sign up to access all questions with instant feedback, explanations, and progress tracking.
Start Practicing Free