Mathematics Vision Project-Secondary Math 1 Alum Rock School District 2014-2015 (D) Develop Understanding Task, (S) Solidify Understanding Task, (P) Practice Understanding Task Module 2: Systems Suggested Pacing: September 15, 2014 – October 17, 2014 Task (D) 2.1 Pet Sitters (S) 2.2 Too Big or Not Too Big, That is the Question (S) 2.3 Some of One, None of the Other (P) 2.4 Pampering & Feeding Time * Related Standards Core Standard(s) Focus A.CED.3 Introduction to representing constraints with systems of inequalities *N.Q.2, A.REI.12 A.CED.2, AREI.12 Write & graph linear inequalities in two variables *N.Q.2, A.SSE.1a, A.REI.10, A.CED.2, F.LE.1b, F.LE.5 A.CED.2, A.CED.4 Write & solve equations in two variables *A.SSE.1a, A.REI.10, F.LE.1b A.CED.2, A.CED.3, A.REI.12 Write & graph inequalities in two variables to represent constraints Ready, Set, Go R: Solve systems of equations by graphing, verify solution S: Determine possible solutions for situation G: Graph linear equations & determine if given value is a solution R: Determine if given values are solutions to an equation S: Graph linear inequalities G: Solve & graph 1-variable & linear inequalities R: Determine points that are solutions to a system of equations S: Graph linear equations from standard form using intercepts G: Add & multiply fractions R: Determine if given value is solution to an equation & solve multi-step equations S: Given a real world problem, create equations and solve systems of equations G: Solve literal equations Materials Graph paper, colored pencils, rulers Graph paper, colored pencils, rulers Graph paper, colored pencils, rulers Graph paper, colored pencils, rulers Task (S) 2.5 All for One, One for All (S) 2.6 Get to the Point (D) 2.7 Shopping for Cats & Dogs (S) 2.8 Can You Get to the Point, Too? (S) 2.9 Food for Fido & Fluffy Standard(s) A.CED.3, A.REI.12 Graph the solution set to a linear system of inequalities *N.Q.1, N.Q.2, A.CED.2 A.REI.6 Solve systems of linear equations in two variables *N.Q.2, A.CED.2, A.CED.2, A.REI.10 A.REI.5, A.REI.6 Solve systems of linear equations by elimination *N.Q.1, A.SSE.1a, A.CED.2, A.CED.3 A.REI.5, A.REI.6 Solve systems of linear equations by elimination. *N.Q.1, A.SSE.1a, A.CED.2, A.CED.3 A.CED.3 Solve systems of linear inequalities representing constraints *N.Q.2, A.SSE.1, A.CED.2 Ready, Set, Go R: Graph linear inequalities S: Given a graph with shaded region, write linear inequality G: Proportional Relationships – table, graph, context equation R: Determine patterns S: Solve systems of equations using substitution G: Graph linear inequalities Materials Graph paper, colored pencils, rulers R: Exponential notation S: Use a system of equations to solve word problems G: Solve and graph 1-variable inequalities R: Simplify & evaluate integer exponents (positive & negative) S: Solve systems of equations using elimination G: Graph linear inequalities from context in word problem R: Create and solve linear inequalities from context in word problem S: Given the graph of a shaded region, write the linear inequality or system of linear inequalities G: Graph systems of inequalities; Solve systems of equations Graph paper, colored pencils, rulers Graph paper, colored pencils, rulers Graph paper, colored pencils, rulers Graph paper, colored pencils, rulers Task Standard(s) (P) 2.10 Taken Out of Context A.REI.6 Work with systems of linear equations, including inconsistent & dependent systems (P) 2.11 More Things Taken Out of Context A.REI.12 Work with systems of linear inequalities & their boundaries (D) 2.12 Pet Sitters Revisited HS Modeling Standard Mathematical Practice Standard 4 Use systems of linear equations & inequalities in a modeling context *N.Q.1, N.Q.2, A.SSE.1a, A.CED.2, A.CED.3, A.REI.10, A.REI.12, F.IF.4, F.IF.5, F.IE.1b, F.IE.5, A.REI.5, A.REI.6 Assessment Book page 60 64 Ready, Set, Go R: Determine if given points are solutions to a system of inequalities S: Determine the number of solutions in a system of equations G: Graph linear inequalities R: Determine a good viewing window for graphs S: Create and solve a system of linear inequalities from context in word problem G: Create and solve a system of equations R: Solve exponential equations intuitively S: Create and solve a system of linear inequalities from context in word problem G: Given a graph of a region, determine the system of inequalities represented; Graph systems of linear inequalities Systems 2.1 – 2.12 Getting Ready 11H – 13H Materials Graph paper, colored pencils, rulers Graph paper, colored pencils, rulers Graphing Calculator for “Ready” Graph paper, colored pencils, rulers Student copies of assessment.