Begin (prepare) |
Check for prior knowledge.
What are Variables? Where are Variables used?
Variables are letters of the alphabet. Variables are used to replace blank lines or the empty box in pre-algebra problems, (see notes for examples). Replace the blank line and the empty box with variables "G" and "R". Tell students that their old pre-algebra problems could have contained variables as shown in these demos. |
2 (9 ─ 4) = ____ 3(5) + 7 = [ ]
2 (9 ─ 4) = G 3(5) + 7 = R |
Engage |
Now write an algebra equation, (see notes for example). Ask students, what is the difference between the pre-algebra equations with the variables "G" and "R" and the algebra equation. Students should conclude that in the pre-algebra problems the variables are on the OUTSIDE of the problem. In the algebra problem the variable "K" in on the INSIDE of the problem.
The "a Ha!" is... Algebra is the mathematical game of getting the variables from the inside of the problem to the outside of the problem. Once the variable is outside the problem, all alone by itself, the problem is solved!
Have students read pages 4 ─ 6. Read aloud same with students, emphasize definitions and example problems. Show demonstration videos for Lesson 1─1 (above). |
7 + 4K = 35
I like to use some of the following ideas and phrases...
In algebra equations, the variable is INSIDE the problem.
Algebra equations have SWOLLOWED their variable(s). |