Pre-calculus 11 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 11 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.
RF06 Students will be expected to solve, algebraically and graphically, problems that involve systems of linear-quadratic and quadratic-quadratic equations in two variables.
(It is intended that the quadratic equations be limited to those that correspond to quadratic functions.)
RF06.01 Model a situation, using a system of linear-quadratic or quadratic-quadratic equations.
RF06.02 Relate a system of linear-quadratic or quadratic-quadratic equations to the context of a given problem.
RF06.03 Determine and verify the solution of a system of linear-quadratic or quadratic-quadratic equations graphically, with technology.
RF06.04 Determine and verify the solution of a system of linear-quadratic or quadratic-quadratic equations algebraically.
RF06.05 Explain the meaning of the points of intersection of a system of linear-quadratic or quadratic-quadratic equations.
RF06.06 Explain, using examples, why a system of linear-quadratic or quadratic-quadratic equations may have zero, one, two, or an infinite number of solutions.
RF06.07 Solve a problem that involves a system of linear-quadratic or quadratic-quadratic equations, and explain the strategy used.
RF07 Students will be expected to solve problems that involve linear and quadratic inequalities in two variables.
RF07.01 Explain, using examples, how test points can be used to determine the solution region that satisfies an inequality.
RF07.02 Explain, using examples, when a solid or broken line should be used in the solution for an inequality.
RF07.03 Sketch, with or without technology, the graph of a linear or quadratic inequality.
RF07.04 Solve a problem that involves a linear or quadratic inequality.
RF08 Students will be expected to solve problems that involve quadratic inequalities in one variable.
RF08.01 Determine the solution of a quadratic inequality in one variable, using strategies such as case analysis, graphing, roots and test points, or sign analysis; and explain the strategy used.
RF08.02 Represent and solve a problem that involves a quadratic inequality in one variable.
RF08.03 Interpret the solution to a problem that involves a quadratic inequality in one variable.
Additional Resources and Activities for RF06 (linear-quadratic and quadratic-quadratic equations ):
Note: Activities from Math 10 Unit 7 (linear-linear systems of equations) could be used to asses prior knowledge as you start this outcome.
Which One Doesn't Belong Linear-Quadratic systems - Students determine which of 4 different graphs doesn't belong. There is no wrong answer as long as students justify their decision with mathematics. See if students can find a reason for each of the 4 different graphs to not belong.
System of linear-quadratic equations card sort - Students get six different cards of each type: graphs, equations and solutions. Student match up each group of cards.
Using Riddles to Introduce Systems of Equations - These four riddles about linear-linear systems of equations can be used as a review of systems of equations from Math 10 before starting on linear-quadratic and quadratic-quadratic equations.
Linear-quadratic practice questions - A set of different types and difficulty level of questions on one google slide.
Scavenger Hunt Activity - A set of 8 linear-quadratic and quadratic-quadratic equations that can be posted around the room. A self-checking activity where students, in small groups, move from question to question, solving to make a circuit. A recording sheet for student work.
Key Points: Parabola+Line Desmos Activity - Students practice identifying key points in a linear-quadratic system (intersection points, x- and y-intercepts, etc).
Additional Resources and Activities for RF07 (linear and quadratic inequalities in two variables ):
Foxes and Chickens Inequalities Desmos Activity - This activity challenges students to come up with more and more accurate inequalities and combine inequalities to separate the foxes (orange points) and chickens (blue points) using a fence (inequality).
Leo's Painting - This task allows students to integrate algebra and geometry as they generate a quadratic inequality from a proportional relationship.
WODB Graph 3 - Start a discussion about inequalities and graphs. Four images of different quadratic and linear inequalities. Students determine which of 4 different graphs doesn't belong. There is no wrong answer as long as students justify their decision with mathematics. See if students can find a reason for each of the 4 different graphs to not belong.
Additional Resources and Activities for RF08 (quadratic inequalities in one variable):
Note: RF08 has been removed from Pre-calculus 11 Curriculum.
Unit 3 Cumulative Review
Systems of Equations Math Passport Review Activity - A series of four stations where students work in individually, in pairs or small groups to complete review questions at stations. After successfully completing a station, students will get their teacher to "stamp" their passport and then move to the next station.