ABSTRACT

Walk This Way allows students to use repeated reasoning to investigate mathematical concepts on horizontal and/or vertical number lines as well as the Cartesian coordinate plane by physically representing mathematical situations on a life-size graph. Students walk an integer number line to represent quantities "having opposite directions or values" (CCSS.Math. Content.6.NS.C.S) as well as quantities "in real-world contexts, explaining the meaning of zero in each situation" (CCSS.Math.Content.6.NS.C.S). Students also analyze how the graphs of parent functions are transformed on the Cartesian coordinate plane. By asking probing questions rather than just repeating formulas and telling how each of the variables and coefficients affects the graph, students are better able to develop meaning on their own and understand how these functions behave.