Mathematics 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.
Mathematics 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.
RF01 Students will be expected to represent data, using polynomial functions (of degree ≤ 3), to solve problems.
RF01.01 Describe, orally and in written form, the characteristics of polynomial functions by analyzing their graphs.
RF01.02 Describe, orally and in written form, the characteristics of polynomial functions by analyzing their equations.
RF01.03 Match equations in a given set to their corresponding graphs.
RF01.04 Graph data and determine the polynomial function that best approximates the data.
RF01.05 Interpret the graph of a polynomial function that models a situation, and explain the reasoning.
RF01.06 Solve, using technology, a contextual problem that involves data that is best represented by graphs of polynomial functions, and explain the reasoning.
Additional Resources and Activities for RF01 (polynomial functions of degree ≤ 3):
Polygraph: Cubic Functions Desmos Activity - This Custom Polygraph is designed to spark vocabulary-rich conversations about cubic functions. Key vocabulary that may appear in student questions includes: inflection, increasing, decreasing, quadrants, and intercepts.
Intro to Cubic Functions Desmos Activity - This activity asks students to multiply three linear terms to create cubics and then notice attributes and identify factoring patterns.
Water Flow from a Cylindrical Tank Lab - Page 421 Question #8 is about a hot water tank with a leak. You can follow up this question with a hand-on activity. Use a pop bottle to make a cylindrical water tank. Ask students to predict how the height of water will change over time as water is drained from this tank. Punch a whole in the bottom and record the level of water in the tank on ten second intervals. Use technology to determine the relationship between height and time (it should be a quadratic). Ask students why this isn't a straight line. A description of this project.
Speedy Squares and Speedy Squares - We want to determine how long it will take to build a 26 x 26 square out of link cubes. As this is a lot of cubes, students might start by timing smaller squares, collecting some data, using quadratic regression and extrapolating.
Which One Doesn't Belong (Graph #9) - 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. Additional Which One Doesn't Belong questions can be found at wodb.ca.
Interactive Grapher - Use the interactive quadratic function grapher to explore relationships between quadratic equations and their graphed parabolas.