Wednesday, September 14, 2011

Rule-Writing: Equations for Tables

What's happening in the table to the left? Can you see the pattern?

The 7th graders began the year by analyzing patterns in tables. They first described the patterns in their own words. After a few days, they began to describe them mathematically. By the end of the first week of school, they could describe the speed in an experiment, just from looking at an equation. They could graph a line, identify the slope and y-intercept, and substitute numbers in for variables. Several of them gasped when they realized they could answer questions using the same algebra steps they practiced last year. It's an impressive group of students!


That's why I like starting the year with linear equations. Not only do we get to talk about big concepts in graphing - not only do we review equation-solving and coordinate-plotting - but we also get to do experiments with marshmallows, nose-tapping, and ball-tossing.

We start by looking for patterns in a table. That leads us into equations, graphing, and lines of best fit. Watch the videos below and see how we considered problems in class.

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