Mathematics 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.
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 model and solve problems that involve systems of linear inequalities in two variables.
RF01.01 Model a problem, using a system of linear inequalities in two variables.
RF01.02 Graph the boundary line between two half planes for each inequality in a system of linear inequalities, and justify the choice of solid or broken lines.
RF01.03 Determine and explain the solution region that satisfies a linear inequality, using a test point when given a boundary line.
RF01.04 Determine, graphically, the solution region for a system of linear inequalities, and verify the solution.
RF01.05 Explain, using examples, the significance of the shaded region in the graphical solution of a system of linear inequalities.
RF01.06 Solve an optimization problem, using linear programming.
Additional Resources and Activities for RF01 (systems of linear inequalities, optimization and linear programming):
System of Equations vs System of Inequalities Same and Different - Show students a system of linear equations and a system of linear inequalities and ask them to find similarities and differences. A great warm-up routine to spark discussion.
Sweet Snacks 3-Act Task - You can also see act 2 and act 3.
Systems of Linear Inequalities Polygraph Desmos Activity - This Custom Polygraph is designed to spark vocabulary-rich conversations about systems of linear inequalities. Key vocabulary that may appear in student questions includes: shade, region, above, below, overlap, solution, intersect, and parallel.
Representing Inequalities Graphically from Mathematics Assessment Project - Students work collaboratively, in pairs, on a game. One student decides on the position of a ‘target point’ on a coordinate grid and gives clues in the form of algebraic inequalities (e.g. 3y + 2x ≤ 12). The other student uses these clues to find the location of the target point. There is a strategic element to the game: what are the best clues to give, so that the target may be found quickly?
Systems of Linear Inequalities: Paleontological Dig - In this task students are asked to design four equations that would “box in” skeletons shown on a grid, as in a paleontological dig.
Linear Programming with Lego - Introduce students to linear programming with an easy to understand problem using 2 different types of Lego bricks (2x2 and 2x4). (Alternative representation available here).
Linear Programming Example Problems, The Carpenter Problem and The Carpet Problem - Two example linear programming problems in Google Slides to present to the class.