Students add positive and negative rational numbers starting with integers, then fractions and decimals, and eventually word problems from real world contexts.
They begin with a guided inquiry about integers, sorting positive and negative tiles (included) to physically see that negative and positive integers work against each other, but two negative integers combine to be even more negative.
Next, they learn the 3 Tiers original "Stack, Add or Subtract, Leader of the Pack" model. Ignoring the signs, they Stack the larger number on top of the smaller in a traditional addition template. Then, they Add or Subtract depending on if the signs are the same or different. Finally, they give the answer a sign based on the Leader of the Pack. You'll have students successfully working with negative fractions and decimals faster than ever before!
After practicing a mix of raw problems, the model is applied to money with credits and debits, and to football yardage gained and lost.
About the 3 TIERS MATH model:
We have analyzed and targeted the known struggles for this topic by scaffolding the lesson in 3 differentiated versions: Independent, Hints, and Guided. Word banks, answer keys, sentence starters, templates, hints, problem chunking and other strategies are used to provide a means for less confident students access the same curriculum and rigor, allowing all students to engage in one common learning experience.
This lesson is designed for students to work through in pairs or groups to discover the big ideas through guided inquiry. While some direct instruction is required, the structure empower students to be independent learners, where your role transitions to more of a mentor than teacher. It is the first lesson in the Neutralizing Negatives Unit for a 7th grade Common Core math class. There is a different lesson that is geared toward a 7th grade Accelerated Math class (not included).