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Real Life Graphs

Applications of Functions: Water Levels WORKSHEET

Suitable for Grades: Algebra I, IM 1
CCSS: HSF.IF.B.4
CCSS Description: For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

Applications of Functions: Water Levels WORKSHEET DESCRIPTION

Students will consider water levels of various containers and the graphs of their depths plotted against time throughout this worksheet, which is very helpful in discussions with your students about rates of change. In section A, learners match 15 containers to their graphs across three questions. The graphs vary from straight lines to curves and a combination of both. All containers start as empty and liquid is poured in at a constant rate. Next, students are given 6 containers and 6 empty axes on which they must draw the depth of the liquid against the time. Then in section C, students are given two graphs that represent the filing of two swimming pools, and they will draw a cross section image of each pool.

All worksheets are created by the team of experienced teachers at Cazoom Math.

Applications of Functions: Water Levels Worksheet suitable for students learning Algebra I

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Frequently Asked Questions

This worksheet focuses on real life graphs, specifically helping students understand how container shapes affect the rate of change in water depth over time. Since all containers start empty with liquid poured at a constant rate, students learn to visualize how different cross-sectional areas create various graph patterns - from straight lines for uniform containers to curves for containers that narrow or widen. It's an excellent introduction to functions and their applications in Algebra I and IM 1 courses.