In this inquiry lesson, students discover basic information about y = mx + b. The context of temperature allows for realistic meaning for positive and negative values for both the slope and the y-intercept. Students work with tables, graph and equations as they find how temperature changes over time.
This resource includes a 5 page packet for students, as well as one practice page that could be used as in class practice or homework. I use this packet to introduce the ideas of slope and y-intercept before formally introducing the slope formula and slope-intercept form. As we continue working with slope-intercept form, this is a convenient context to refer back to.
This activity packet begins by having students make tables, graphs and equations to match a certain temperature situation (for example, starting temperature of 15, decreasing by 5 degrees per minute). Students examine how the rate of change and starting temperature show up in each representation. Next, students are given several sets of temperature data (combination of tables, graph and equations) which they use to answer a series of questions such as which temperatures are rising/falling the fastest/slowest. Next, students are expected to find the slope/rate of change from tables, graph, equations and sets of ordered pairs. After these activities, there is a graphic organizer for students to fill out about slope-intercept form. Finally, there is a practice page for students to find slope from tables, graphs, equations and sets of ordered pairs.
**This product is can also be purchased at a discounted price as a part of the Slope Intercept Bundle
or Linear Equation and Inequality Bundle
If you liked this activity, you might also like my Connecting Representations: Table, Graph, Equation, Situation, Verbal
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