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Pre-algebra is difficult because Pre-algebra is difficult because of the confusing language.of the confusing language.
• Equality PrincipleEquality Principle• Balancing an EquationBalancing an Equation• Definition of a Variable, etc.Definition of a Variable, etc.
Pre-Algebra
MathLine makes Algebraic conceptsMathLine makes Algebraic concepts
EASY TO UNDERSTAND!EASY TO UNDERSTAND!
Pre-Algebra
MathLine makes Algebraic conceptsMathLine makes Algebraic concepts
EASY TO UNDERSTAND!EASY TO UNDERSTAND!
Pre-Algebra
By introducing abstract ideas By introducing abstract ideas
with with
simple languagesimple language
So ask the student, what do we know in So ask the student, what do we know in this sentence: 2x + 5 = ?this sentence: 2x + 5 = ?
Pre-Algebra
We know our sum isWe know our sum is 1717
1717
So put 17 on MathLineSo put 17 on MathLine
We know we added 5 to 2xWe know we added 5 to 2x
With 2x + 5 = 17With 2x + 5 = 17
Pre-Algebra
to get 17to get 17
Pre-Algebra
So ask, “If we added 5 to get 17, So ask, “If we added 5 to get 17,
can we subtract 5 from 17?”can we subtract 5 from 17?”
Pre-Algebra
2x = 122x = 12
So ask, “What number times 2 So ask, “What number times 2 equals 12?”equals 12?”
To get x by itself To get x by itself subtract 5 from both sidessubtract 5 from both sides
of the equation.of the equation.
2x + 5 = 17 2x + 5 = 17
Pre-Algebra
– – 5 –5 – 55
This is the Equality PrincipleThis is the Equality Principle
What is done to one side What is done to one side of the equation…of the equation…
Pre-Algebra
must be done to the other side must be done to the other side to keep it equal.to keep it equal.
Pre-Algebra
2 x 2 x ÷÷ 2 2 = = 1212 ÷ 2÷ 2
2 x2 x 1212 2 2 2 2 =
2x = 122x = 12
So divide by 2 on each sideSo divide by 2 on each side
OrOr
Pre-Algebra
Using MathLine Using MathLine
to introduce Pre-Algebra to introduce Pre-Algebra
is is
effective and simple.effective and simple.