unit 6.2 - solving equations using balance strategies
What we need to know
To solve an equation means to isolate the variable
Ideally, variables end up with a coefficient of 1, and positive
Algebra tiles
The concept of. "zero pairs"
Graphic representation of a balance
Ideally, variables end up with a coefficient of 1, and positive
Algebra tiles
The concept of. "zero pairs"
Graphic representation of a balance
more information
Balance strategies involve using algebra tiles and/or a scale (balance) to solve equations.. It is important to remember that the objective is ALWAYS the same: to end up with rectangles o one side and squares on the other side (for the algebra tiles method), and to end up with the square blocks on one plate and the circular weights on the other. That is because, just like we have done thus far, we need to "isolate" the variable.
solving equations using algebra tiles
REMEMBER: When using algebra tiles, you eliminate tiles by making "zero pairs"!
another example:
another example:
And another...
Look at how we can use tiles to solve equations with variables on both sides of the equal sign. note how "zero pairs" are made to eliminate all but 1 of the rectangles, and the yellow square on the left side!
solving equations using the balance method
this is how it works:
here is an example:
another example:
videos that can help you
interactive online activities
review - workbook
workbook_-_unit_6.2.pdf | |
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