Vertical Acceleration
Make a staircase with rods.
If white is 1, what do I call the red rod?
If white is 1, what do I call the green rod? ....repeat for each rod up to the orange rod.
If white is 10, what do I call the red rod?
If white is 10, what do I call the green rod? ....repeat to the orange rod.
If white is 100, what do I call the red rod?
If white is 100, what do I call the green rod? ...repeat until reaching the orange rod.
If white is 1,000, what do I call the red rod?
If white is 1,000, what do I call the green rod? Repeat until reaching the orange rod.
If white is one-tenth, what do I call the red rod?
If white is one-tenth, what do I call the green rod? Repeat until reaching the orange rod.
If white is 1x, what do I call the red rod?
If white is x, what do I call the green rod? Repeat until reaching the orange rod.
If white is glob, what do I call the red rod?
If white is glob, what do I call the green rod? Repeat until reaching the orange rod.
If white is called a cube, what do I call the red rod?
If white is called cube, what do I call the green rod? Repeat until reaching the orange rod.
Combine a one rod and a nine rod, and say, "Read the equation. 1 + 9 = 10."
Combine a one rod and a nine rod, and say, "Now the white is 10. Read the equation. 10 + 90 = 100."
Combine a one rod and a nine rod, and say, "Now the white is 100. Read the equation. 100 + 900 = 1000."
Combine a one rod and a nine rod, and say, "Now the white is 1,000. Read the equation. 1,000 + 9,000 = 10,000."
Combine a one rod and a nine rod, and say, "Now the white is one-tenth. Read the equation. "One-tenth plus nine-tenth is ten-tenth."
Combine a one rod and a nine rod, and say, "Now the white is one-cube. Read the equation. "One-cube plus nine-cube is ten-cube."
Now, 2x-cube plus what is 10x-cube?
Now, what is one-tenth plus four-tenth?
Now, what is point one plus point nine? "Point one plus point nine is 1.0."
Use if, then statements, beginning with what the student knows.
Language first explains the concepts, which is followed by the procedure.
Example: A number is divisible by 2, if the ones digit is even.
A number is divisible by 3 if the ones digit is divisible by 3.