Arkansas: RF Math Standards

RF.2

• RF.2.BTAII.1 Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); Find the solutions approximately by: Using technology to graph the functions; Making tables of values; Finding successive approximations. Include cases (but not limited to) where f(x) and/or g(x) are: Linear, Polynomial, Absolute value, Exponential
• RF.2.BTAII.2 Graph functions expressed algebraically and show key features of the graph, with and without technology.
• RF.2.BTAII.3 Explain how extending the properties of integer exponents to rational exponents provides an alternative notation for radicals. For example: We define 5^(4/3) to be the cube root of 5^4 because we want (5^(4/3))^(3/4) = 5 to hold.
• RF.2.BTAII.4 Rewrite expressions involving radicals and rational exponents using the properties of exponents
• RF.2.BTAII.5 Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or any polynomial function.
• RF.2.BTAII.6 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
• RF.2.BTAII.7 Solve quadratic equations in one variable.
• RF.2.BTAII.8 Solve systems of equations consisting of linear equations and nonlinear equations in two variables algebraically and graphically. For example: Find the points of intersection between y = -3x and y = x^2 + 2.