Manipulatives to Be Used
1. String
2. Stick
3. Cup
4. 3 cards ( - ), (+), and (X)
5. Rectangular Block (to represent division)
Example Equation
1st side
2nd side
6
=
1X - 2
X -
+
+
X
The student sets up the equation
concretely to represent 6 = 1X-2
The student adds two to each
side of equation.
The equation now reads 8 = 1X
Each side of the equation is then
divided by one.
X
The answer appears after
dividing eight into one group.
X=8
Solution: The one cup of X has eight sticks. This means that one X equals 8.
For this problem, X = $8.
Key:
= stick
= cup
= equal string
= division bar
+
= card with cue
-
= card with cue
X
= card with x
Checklist
Learning
stage
Develops
computation to
isolate the variable
and coefficient
Student 1
Student 2
Student 3
Student 4
Student 5
Student 6
Student 7
Student 8
Student 9
C = Concrete
R = Representational
A = Abstract
Balances
computation
across the
equal sign
Order of
operations
Accurate
computation
Evaluates
answer
Correct
answer