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Glencoe 8th Grade Mathematics 1st Nine Weeks 2013-2014 Curriculum Coverage in Mathematics for the 2013-14 School Year as Outlined by TNCore (TN transition to Common Core) The following Dropped SPIs will NOT appear on the 2013-2014 TCAP/EOC Exam. 8th Grade Dropped SPI’s: SPI 0806.3.3 Solve and graph linear inequalities in two variables. SPI 0806.4.4 Convert between and within the U.S. Customary System and the metric system. SPI 0806.4.5 Identify the intersection of two or more geometric figures in the plane. SPI 0806.5.1 Calculate probabilities of events for simple experiments with equally probable outcomes. SPI 0806.5.2 Use a variety of methods to compute probabilities for compound events (e.g., multiplication, organized lists, tree diagrams, area models). TNCore recommends the following: Stop teaching the dropped SPIs Spend 60-75% of the year on the TNCore Focus Clusters listed below (The Focus Clusters are identified in red throughout the map.) 8.EE Understand the connections between proportional relationships, lines, and linear equations (5, 6) 8.F Define, evaluate, and compare functions (1, 2, 3) 8.EE Analyze and solve linear equations and pairs of simultaneous linear equations (7, 8) 8.F Use functions to model relationships between quantities (4, 5) The Standards for Mathematical Practice MP1. Make sense of problems and persevere in solving them. MP5. Use appropriate tools strategically. MP2. Reason abstractly and quantitatively. MP6. Attend to precision. MP3. Construct viable arguments and critique the reasoning of others. MP7. Look for and make use of structure. MP4. Model with mathematics. MP8. Look for and express regularity in repeated reasoning. PARCC Partnership for Assessment of Readiness for College and Careers (PARCC) committed to developing model content frameworks for mathematics to serve as a bridge between the Common Core State Standards and the PARCC assessments. The 2013-14 school year is the final year to prepare for the PARCC assessment, which will replace TCAP/EOC in 2014-15. Constructed Response Assessments (CRA) will be administered in grades 1 through 8, as well as Algebra I, Algebra II, and Geometry. Course emphases for PARCC Assessments are indicated by: Major Content Supporting Content o Additional Content PARCC Model Content Frameworks Major Content Common Core Focus Clusters/Standards Supporting Content o Additional Content 1 Revised May 31, 2013 Glencoe 8th Grade Mathematics 1st Nine Weeks 2013-2014 Common Core State Standards State Performance Indicators (SPIs) Chapter 1 - Rational Numbers (Allow 1 week for instruction, review, and assessment) GLE 0806.2.3 Solve real-world problems using rational and irrational numbers. 8.NS.1 Know that numbers that are not rational are called irrational. 8.NS.A.2 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions. SPI 0806.2.1 Order and compare rational and irrational numbers and locate on the number line. Content & Tasks 1A Rational Numbers Rugs Task 1B Add and Subtract Rational Numbers 1C Multiply Rational Numbers 1D Divide Rational Numbers 2B Compare Rational Numbers Illuminations Balance Repeating Decimals Math Play: Comparing and Ordering Chapters 3 & 4 – Equations and Inequalities (Allow 4 weeks for instruction, review, and assessment) 8.EE.C.7 Solve linear equations in one √ 0806.3.2 Represent algebraic relationships with equations variable and inequalities. 8.EE.C.7 Solve linear equations in one variable PARCC Model Content Frameworks Major Content Common Core Focus Clusters/Standards Ch. 3 Lessons 1B Write Equations 1C/1D Solve one step equation using addition, subtraction, multiplication and division. 2B Solve two-step equations 2C Write two-step equations Building Equations Task: The Sign of Solutions Using Inverse Operations 3B/3C Solve one-step inequalities by addition, subtraction, multiplication or division 4A Solve two-step inequalities Supporting Content o Additional Content 2 Revised May 31, 2013 Glencoe 8th Grade Mathematics 1st Nine Weeks 2013-2014 8.EE.C.7b Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. GLE 0806.3.2 Represent, analyze, and solve problems involving linear equations in one and two variables 8.EE.C.7a Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. 8.EE.7, 8.EE.7b Analyze and solve linear equations and pairs of simultaneous linear equations. SPI 0806.3.2 Solve the linear equation f(x) = g(x) GLE 0806.3.1 Recognize and generate equivalent forms of algebraic expressions. √ 0806.1.8 Use a variety of methods to solve realworld problems involving multi-step linear equations (e.g., manipulatives, technology, pencil and paper). √ 0806.3.2 Represent algebraic relationships with equations and inequalities. Ch. 4 Lessons 1B The Distributive Property 1C Simplify Algebraic Expressions 2B Solve Equations w/Variables on both sides 2C/2D Solve multi-step equations and inequalities See above lessons See above lessons Chapter 5 – Expressions and Functions (Allow 3 weeks for instruction, review, and assessment) 8.F.A.1 Understand that a function is a SPI 0806.3.4 Translate between various representations of rule that assigns to each input exactly one a linear function output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. (Function notation is not required in Gr. 8). 8.F.A.2 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). 8.F.A.1 PARCC Model Content Frameworks Major Content Common Core Focus Clusters/Standards SPI 0806.3.4 Translate between various representations of a linear function Supporting Content 1A Investigation: Make a Table 1B Variables and Expressions 1C Ordered Pairs and Relations Understanding Functions Function Machine Task: Growing Dots Task: Stacking Cups 2A Patterns 2B Analyze Tables 2C Analyze Graphs 3A Relations and Functions 3B Functions 3C Linear Functions o Additional Content 3 Revised May 31, 2013 Glencoe 8th Grade Mathematics 1st Nine Weeks 2013-2014 Resource Toolbox: Formative Assessment Discovery Education Common Core Common Core Standards TN Core CCSS Tool Box Common Core 360 Mathematics Assessment Project New York Common Core Library Illustrative Mathematics LearnZillion Howard County Schools Resources Common Core Curriculum 8th Grade Math Resources Inside Mathematics PARCC Model Content Frameworks Major Content Common Core Focus Clusters/Standards Supporting Content Additional Resources Math Connects Holt, Course 3 Text Resources BrainPop Virtual Nerd Khan Academy Internet 4 Classrooms Teacher Tube Kuta Software Illuminations TI-Inspire for Middle Grades TI-Inspire Activity Exchange The Futures Channel STEM Resources o Additional Content 4 Revised May 31, 2013 Glencoe 8th Grade Mathematics 1st Nine Weeks 2013-2014 PARCC Model Content Frameworks Major Content Common Core Focus Clusters/Standards Supporting Content o Additional Content 5 Revised May 31, 2013