In our rush for students to get 'ahead,' we often push them through algebra too quickly. This is a recipe for disaster.
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Algebra is not a series of disconnected topics to be checked off a list.
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It is a sequential, hierarchical language. Each new concept is built directly upon the previous one.
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If you have a 90% understanding of solving equations, that 10% gap will become a 50% gap when you get to systems of equations.
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If your factoring skills are only 'okay,' you will completely fail at simplifying rational expressions.
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Rushing creates a weak foundation full of holes. Eventually, that foundation will collapse, usually in Algebra 2 or Pre-Calculus.
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This collapse leads to the student believing they are 'bad at math,' when the real problem was the pace, not their ability.
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The goal should be 100% mastery of a concept before moving on, even if it takes more time.
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A slower, deeper journey through algebra creates a foundation of rock upon which a student can build anything.
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Don't rush. The goal is not to finish first. The goal is to build something that lasts. Master the fundamentals.
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