Grade 9 Math · Algebra
Lesson 2.2
Representing Linear Relations
Move between a table of values, a graph, and an equation for the same linear relation.
Estimated time: 30–45 minutes
Learning goals
- I can build a table of values from a description.
- I can graph a linear relation from a table.
- I can write the equation of a linear relation.
Step 1 of 5
Learn
The idea, explained clearly — with the words mathematicians use.
Three ways to show one relation
A table, a graph, and an equation can all describe the same linear relation. Each one makes something easier to see.
- Table of values
- An organized list pairing each input with its output.
Curriculum connection
These are the words your teacher and the Ontario curriculum use. Learn them here and use them when you explain your thinking.
- Curriculum language · C4.1Table of values
- What this meansA table of values is an organized list that pairs each input with its output.
Step 2 of 5
See It
Table, graph and equation — the same relationship, three ways.
The same relationship, three ways
| x | y | change in y |
|---|---|---|
| 0 | 5 | — |
| 1 | 8 | +3 |
| 2 | 11 | +3 |
| 3 | 14 | +3 |
| 4 | 17 | +3 |
y = 3x + 5Each representation shows the same two numbers: a start of 5 and a steady change of 3.
Step 3 of 5
Try It
Your turn. Hints are always one tap away, and a full walkthrough is there if you need it.
Step 4 of 5
Practice
Build fluency — and see where this shows up in real life.
Step 5 of 5
Mastery Check
Show what you can do now that you could not do at the start.
You have finished this lesson
- I can build a table of values from a description.
- I can graph a linear relation from a table.
- I can write the equation of a linear relation.
A unit check is waiting at the end of Algebra.