Holt McDougal 8th Grade Mathematics 3rd 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 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 8.EE Analyze and solve linear equations and pairs of simultaneous relationships, lines, and linear equations (5, 6) linear equations (7, 8) 8.F Define, evaluate, and compare functions (1, 2, 3) 8.F Use functions to model relationships between quantities (4, 5) The Standards for Mathematical Practice MP1. Make sense of problems MP2. Reason abstractly and and persevere in solving them. quantitatively. MP5. Use appropriate tools strategically. MP3. Construct viable arguments and critique the reasoning of others. MP7. Look for and make use of structure. MP6. Attend to precision. 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 12/2013 Holt McDougal 8th Grade Mathematics 3rd Nine Weeks 2013-2014 Common Core State Standards State Performance Indicators (SPIs) Chapter 4 – Exponents and Roots (Allow 3.5 weeks for instruction, review, and assessment) √ 0806.2.1 Recognize and use exponential, scientific, 8.EE.A.1 Know and apply the properties of integer and calculator notation. exponents to generate equivalent numerical √ 0806.2.6 Simplify expressions using the laws of expressions. exponents. √ 0806.2.6 Simplify expressions using the laws of 8.EE.A.1 (See Lesson 4-1) exponents. SPI 0806.2.3 Use scientific notation to compute 8.EE.A.3 Use numbers expressed in the form of a products and quotients. single digit times an integer power of 10 to estimate very large or very small quantities, and to express how SPI 0806.2.4 Solve real-world problems requiring scientific notation. many times as much one is than the other. 8.EE.A.4 Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. √ 0806.3.2 Represent algebraic relationships with 8.EE.A.2 Use square root and cube root symbols to 2 represent solutions to equations of the form x = p and equations and inequalities. x3 = p, where p is a positive rational number. 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. 8.NS.A.1 Know that numbers that are not rational are called irrational. 8.EE.A.2 Know that √2 is irrational. PARCC Model Content Frameworks Major Content Common Core Focus Clusters/Standards SPI 0806.2.1 Order and compare rational and irrational numbers and locate on the number line. √ 0806.2.2 Square numbers and simplify square roots. SPI 0806.2.2 Identify numbers and square roots as rational or irrational. Supporting Content o Additional Content Content & Tasks 4-1: Exponents 4-2 Integer Exponents Task: Exploring Powers of Ten Task: A Few Folds 4-3 Properties of Exponents Task: Alien Attack 4-4 Scientific Notation AT A-1 Operations on Numbers in Scientific Notation Task: 100 People Task: A Million Dollars 4-5 Squares and Square Roots AT A-2 Square Roots and Cube Roots Task: Cube Hotel Cube Hotel Lesson Plan 4-6 Estimating Square Roots 4-6 Extension Simplifying Square Roots Irrational Numbers on the Number Line 4-7 The Real Number System Task: Rational or Irrational Reasoning Rational vs Irrational Activity Rational vs Irrational Game 2 Revised 12/2013 Holt McDougal 8th Grade Mathematics 3rd Nine Weeks 2013-2014 8.G.B.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions. 8.G.B.6 Explain a proof of the Pythagorean Theorem and its converse. 8.G.B.8 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system. SPI 0806.4.1 Use the Pythagorean Theorem to solve contextual problems. 4-8 The Pythagorean Theorem Task: Jane’s TV Shodor Manipulatives SPI 0806.4.2 Apply the Pythagorean theorem to find 4-9 Applying the Pythagorean distances between points in the coordinate plane to Theorem and Its Converse measure lengths and analyze polygons and polyhedra. Task: As the Crow Flies Task: Fire in Pythagorville Pythgorville Map Chapter 7 – Foundations of Geometry (Allow 2 weeks for instruction, review, and assessment) 8.G.A.5 Use informal arguments to establish facts SPI 0806.4.3 Find measures of the angles formed by 7-2 Parallel Lines and about the angles created when parallel lines are cut parallel lines cut by a transversal. Perpendicular Lines by a transversal. Task: Lunch Lines 8.G.A.5 Use informal arguments to establish facts 7-3 Triangles about the angle sum and exterior angle of triangles. Task: Find the Angle 8.G.A.2 Understand that a two-dimensional figure 7-6 Congruence is congruent to another if the second can be Task: Similar Triangles obtained from the first by a sequence of rotations, Task: Window "Pain" reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them. PARCC Model Content Frameworks Major Content Common Core Focus Clusters/Standards Supporting Content o Additional Content 3 Revised 12/2013 Holt McDougal 8th Grade Mathematics 3rd Nine Weeks 2013-2014 8.G.A.1 Verify experimentally the properties of rotations, reflections, and translations. 8.G.A.2 (See Lesson 7-6) 8.G.A.3 Describe the effect of dilations, translations, rotations, and reflections on twodimensional figures using coordinates. 8.G.A.4 Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them. 8.G.A.5 (See Lesson 7-3) Chapter 8 – Perimeter, Area, and Volume (Allow 1.5 weeks for instruction, review, and assessment) o 8.G.C.9 Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems. 7-7 Transformations 7-7A Similarity and Congruence Transformations 7-7B Identifying Combined Transformations Task: Dilations in the Coordinate Plane Task: Aaron's Design Task: Coordinating Reflections Learnzillion 8.G.A.3 Illustrative Math 8.G.A.3 o 8.G.C.9 (See lesson 8-5) 8-6 Volume of Pyramids and Cones 8-6 Hands on Lab Task: Matchsticks Task: Comparing Snow Cones 8-9 Spheres o 8.G.C.9 (See lesson 8-5) Chapter 9 – Data and Statistics (Allow 2 weeks for instruction, review, and assessment) SPI 0806.5.4 Recognize misrepresentations of published data in the media. √ 0806.5.6 Use observations about differences between two or more samples to make conjectures about the populations from which the samples were taken. PARCC Model Content Frameworks Major Content Common Core Focus Clusters/Standards Supporting Content o Additional Content 8-5 Volume of Prisms and Cylinders 8-5 Hands on Lab 9-1 Samples and Surveys (Review if Needed) 9-2 Identifying Sampling Errors and Bias 4 Revised 12/2013 Holt McDougal 8th Grade Mathematics 3rd Nine Weeks 2013-2014 8.SP.A.1 Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. 8.SP.A.2 Know that straight lines are widely used to model relationships between two quantitative variables. 8.SP.A.3 Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. 8.SP.A.4 Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. PARCC Model Content Frameworks Major Content Common Core Focus Clusters/Standards SPI 0806.5.4 Recognize misrepresentations of published data in the media. √ 0806.5.8 Consider the source, design, analysis, and display of data to evaluate statistics reported in the media. SPI 0806.5.3 Generalize the relationship between two sets of data using scatterplots and lines of best fit. Supporting Content 9-8 Misleading Graphs and Statistics 9-9 Scatter Plots Task: Birds' Eggs Task: Scatter Diagram Two-Way Tables Lesson o Additional Content 5 Revised 12/2013 Holt McDougal 8th Grade Mathematics 3rd Nine Weeks 2013-2014 Khan Academy/Common Core Mathematics Performance Task Bank Resource Toolbox: Additional Resources 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 Formative Assessment Discovery Education All SPI Example Questions 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 http://www.tn.gov/education/ci/math/index.shtml http://www.tn.gov/education/assessment/ach_prof_level.shtml http://www.tn.gov/education/assessment/ach_samplers.shtml www.insidemathemaics.org Common Core Standards - Mathematics Common Core Standards - Mathematics Appendix A TN Core http://www.ccsstoolbox.org/ PARCC Model Content Frameworks Major Content Common Core Focus Clusters/Standards Supporting Content o Additional Content 6 Revised 12/2013