Mathematics

3.6 determine the value of a variable of degreeno higher than three, using a formula drawnfrom an application, by first substitutingknown values and then solving for the variable,and by first isolating the variable andthen substituting known valuesSample problem: The formula s = ut + 1 2at2relates the distance, s, travelled by an objectto its initial velocity, u, acceleration, a, and theelapsed time, t. Determine the accelerationof a dragster that travels 500 m from rest in15 s, by first isolating a, and then by firstsubstituting known values. Compare andevaluate the two methods.3.7 make connections between formulas and linear,quadratic, and exponential functions [e.g.,recognize that the compound interest formula,nA = P(1 + i) , is an example of an exponentialfunction A(n) when P and i are constant, andof a linear function A(P) when i and n areconstant], using a variety of tools and strategies(e.g., comparing the graphs generatedwith technology when different variables ina formula are set as constants)Sample problem: Which variable(s) in the2formula V = πr hwould you need to set asa constant to generate a linear equation?A quadratic equation?3.8 solve multi-step problems requiring formulasarising from real-world applications (e.g.,determining the cost of two coats of paintfor a large cylindrical tank)3.9 gather, interpret, and describe informationabout applications of mathematical modellingin occupations, and about college programsthat explore these applicationsMathematics for College TechnologyMCT4CPOLYNOMIAL FUNCTIONS129