Bridge: Get the students to form pairs in order to work together on small graphing problems.
Teaching Objective: To interpret and comprehend a word problem and to revisit creating data tables from an equation and plotting the data points on a Cartesian plane.
Learning Objective: Students will be able to create lines of best fit for particular graphs and interpolate or extrapolate data points.
Pre-test: Ask if anyone remembers how to graph data points.
Participatory Activity: There are 3 different worksheets. One is about a non-zero y-intercept linear equation (Plumbing Problem), one is about a reciprocal graph (Retirement Gift) and one is about a quadratic function (Carpeting). The students are given 7 to 10 minutes to work on the problems.
Post-test: Representative students who completed one of each of the 3 worksheets will come up to the board, draw their graph and describe how they came to draw that graph. The students then will explain to their fellow students how they answered the corresponding questions.
Summary: Graphing data points on a Cartesian plane is a very useful in Math. It can allow the person to gain insight on mathematical systems that follow patterns. From tracking the trajectory of a ball in the air to predicting the revenue from ticket sales, graphing is important.
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