Collaborative learners will see the geometric addition of functions by graphing the sum of two graphed curves on the same coordinate plane. This task then naturally flows into giving learners the algebraic representation of the curves and having them build a table of values at various inputs with outputs of the two functions and their sum.

Additional Tags

function addition and subtraction, math

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Instructional Ideas

• Repeating this task with different pairs of functions on a graph would solidify learners' conceptual understanding of the relationship between the algebraic and geometric forms of functions
• After each table of values and sum graph, have students use a graphing calculator to graph and produce a table for all of the graphs to compare their work to the graphing calculator 

Common Core

HSF-BF.A.1.a MP2 MP6 MP7