HandsOn Equations: Teacher Notes
MA.A.3.3.2
MA.D.1.3.1
MA.D.2.3.1
Conceptual Understanding
Variables
Solving Equations
Zero Property
Addition Property of Equality
Procedural Knowledge
Algorithms for Solving Equations
Problem Solving
Reasoning
Connections
Representation
Using manipulatives allows
students to better visualize mathematical concepts. The HandOn Equations
manipulatives help students "balance" the scale and "solve"
equations. Students need to remember the property of equality, "whatever
you do on one side of the equation, you must do to the other side"
Students work individually
or in pairs
 HandsOn Equations Manipulatives
 Each student receives
the HandsOn Equations kit.
 Review the property of
equality, "whatever you do on one side of the equals sign, you
must do on the other side."
 Review how to make zero
sets.
 Goal: to get the variable
on one side of the equation by itself.
 Demonstrate examples:
x = 5
0 = 0, then 2 + 2 = 0
x + 3 = 5
2x = x  2
3x  1 = x + 5
 Have students
demonstrate 3x  1 = x + 5.
 Hand out the HandsOn
worksheet.
HandsOn Equations Worksheet
Use your HandsOn Equations kits to find the value of x. Then, check
your answer on your paper.
 x – 3 = 1 x = ________
check:
 2x = x + 5 x = ________
check:
 x + 6 = 2x – 3 x
= ________ check:
 x – 2 =  2x + 1
x = ________ check:
 2(x + 1) = x + 9 x = ________
check:
As a result of this activity,
students can visualize the equality principle and will be able to have
a better understanding of the steps used in solving equations.
