Pre-Calculus 12 Pacing Guide - This pacing guide replaces the previous yearly plan. It has been updated to reflect removed outcomes and provide flexibility for responsive instruction.
Pre-calculus 12 Desmos Activity Collection - A collection of online student Desmos activities organized by unit.
EAL Support - Desmos offers a free suite of math software tools, including the Desmos Graphing Calculator and Scientific Calculator, as well as free digital classroom activities. Click on the globe in the tool bar to access the site in other languages.
RF14 Students will be expected to graph and analyze rational functions (limited to numerators and denominators that are monomials, binomials, or trinomials). [CN, R, T, V]
RF14.01 Graph, with or without technology, a rational function.
RF14.02 Analyze the graphs of a set of rational functions to identify common characteristics.
RF14.03 Explain the behaviour of the graph of a rational function for values of the variable near a non-permissible value.
RF14.04 Determine if the graph of a rational function will have an asymptote or a hole for a non-permissible value.
RF14.05 Match a set of rational functions to their graphs, and explain the reasoning.
RF14.06 Describe the relationship between the roots of a rational equation and the x-intercepts of the graph of the corresponding rational function.
RF14.07 Determine, graphically, an approximate solution of a rational equation.
Additional Resources and Activities for RF14 (graph rational functions):
Polygraph: Rational Functions Desmos Activity - This is a polygraph activity for a class to try out. One student selects the graph of a rational function. Another student tries to guess which graph was chosen by asking yes/no questions. Student practice mathematical communication in this activity.
Which One Doesn't Belong (Graph #1, 12 and 35) - Try using a Which One Doesn't Belong question prompt with students to get them using polynomial vocabulary and thinking about the characteristics of cubic functions. You could even have students try to create their own question using this context and polynomial functions.
Which One Doesn't Belong - This is another example of a which one doesn't belong task. Created by Dana Harrington.
Problems with Zero Numberphile video - Matt Parker and James Grim show why you can't divide a number by zero by examining the graph of y = 1/x.
Desmos Activity: Building Rational Functions - This activity helps students practice writing rational functions that meet different conditions.