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Grade 6 – Math –1st Nine Weeks Standard(s): Mathematical Processes & Number and Operations GLE Common Suggested Activities/Strategies Resources Core State Standards GLE 0606.2.5 Develop meaning for Apply and extend www.portaportal.com Guest Access box password: courseoutlines Chapter 9 Sec 1 pg 450 integers; represent and compare quantities previous 6th Grade MNPS Curriculum Guides http://mnps2010.wikispaces.com/ Chapter 9 Sec 2 pg 454 with integers. understandings of SpringBoard: “Integer Games” (integers) numbers to the Holt Science Textbook pg 382-383 “Math Practice Activity” on converting Hands-On Lab: Model SPI 0606.2.7 Locate positive rational system of rational temperatures Integer Addition pg 464 numbers on the number line. numbers. Glencoe: Self-Check Quizzes 2-Comparing and Ordering Integers http://www.glencoe.com/sec/math/studytools/cgi- Hands-On Lab: Model SPI 0606.2.8 Locate integers on the bin/msgQuiz.php4?isbn=0-07-829633- Integer Subtraction pg 469 number line. 1&chapter=3&lesson=2&headerFile=4&state=na 0606.2.10 Explore contexts that can Hotmath Practice Problems: Integers - Division be described with negative numbers http://hotmath.com/help/gt/genericprealg/section_2_5.html (such as money, elevation, and Card Games temperature). Chalk on the Sidewalk Number Line Game http://www.educationworld.com/a_tsl/archives/04- SPI 0606.1.3 Use concrete, pictorial, 1/lesson007.shtml and symbolic representation for integers. 0606.3.3 Extend order of operations to N/A Math Frog – Order of Operations Game Chapter 1 Sec 3 pg 12 include grouping symbols and exponents. http://cemc2.math.uwaterloo.ca/mathfrog/english/kidz/order.shtml Chapter 1 Sec 4 pg 20 SpringBoard: “A Fairly Ordered Operation” (Order of Operations) SPI 0606.3.2 Use order of operations COUNTDOWN: Order of Operations in Word Problems-2 and parentheses to simplify expressions http://countdown.luc.edu/NCTM_cat/NumberOperation/WholeNumbers/051 and solve problems. 013/OrderOperaWdPrSolution/index.html Please Excuse My Dear Aunt Sally – PEMDAS Order of Operations Millionaire Game http://www.math-play.com/Order-of- Operations-Millionaire/order-of-operations-millionaire.html The Interactive Mathematics Classroom http://www.interactivemaths.net/taxonomy/term/101 Illuminations http://illuminations.nctm.org/LessonDetail.aspx?id=L730 Strike Out Bowling Game Tangram Puzzle or Order of Operations Puzzle 0606.1.1 Use mathematical language, N/A Literature: “Math Appeal” (Riddles involving computation & number sense) Holt Middle School Math symbols, and definitions while developing Literature: “Math Curse” (Writing Riddles and Story Problems – Marilyn Course I mathematical reasoning. Burns Math & Literature grades 4-6) Nrich: Got It About Teaching http://nrich.maths.org/public/viewer.php?obj_id=1272&part=index Mathematics by Marilyn Burns Grade 6 – Math –1st Nine Weeks 0606.5.2 Interpret representations of data Develop Navigations through Data Analysis in Grades 6-8 Chapter 6 Sec 1 pg 272 from surveys and polls, and describe understanding of o “Lengths of Cats” pg 20 Chapter 6 Sec 2 pg 275 sample bias and how data representations statistical o “TV Watching” pg 23 Chapter 6 Sec 3 pg 278 can be misleading. variability. o “Making the Data” pg 26 Chapter 6 Sec 4 pg 284 o “Drop Off” pg 29 Chapter 6 Sec 5 pg 290 SPI 0606.5.2 Identify features of graphs Summarize and Literature: “The $1.00 Word Riddle Book” (addition, data collection - Chapter 6 Sec 6 pg 294 that may be misleading. describe Marilyn Burns Math & Literature grades 4-6)) Chapter 6 Sec 7 pg 297 distributions. Literature: “The Amazing Book of Mammal Records (Proportional Chapter 6 Sec 8 pg 301 SPI 0606.5.3 Determine whether or not reasoning, length, weight, comparing data) Chapter 6 Sec 9 pg 305 a sample is biased. Literature; “Martha, Blah, Blah” (Collecting and Analyzing data - Marilyn 0606.5.8 Connect data sets and Burns Math & Literature grades 4-6) their graphical representations Literature: “Tiger Math” (Analyzing data, bar graphs, circle graphs - Social Studies Textbook (such as bar graphs, circle, graphs, Marilyn Burns Math and Nonfiction grades 3-5) Geography handbook pgs and stem-and-leaf plots). Literature: “Tikki Tikki Tembo (data, mean/median/mode/range) GH11-GH13 0606.5.9 Determine the sample Literature: “Wilma Unlimited” (computation, graphing, weight space for a given situation. Science Textbook measurements - Marilyn Burns Math and Nonfiction grades 3-5) 0606.5.10 Distinguish between a Appendix pg 483-489 SpringBoard: “When Were You Born?” (Graphs, Stem & Leaf, Mean, random and nonrandom sample. Median, Mode, Range) 0606.5.11 Select the appropriate SpringBoard: “Taking a Class Picture” (charts, plots, outliers, MMMR) measure of center to describe a data set. SpringBoard: “Batter Up! Second Inning” (Measures of Central Tendency) 0606.5.12 Predict the PBS Teachers: Deep Crisis: Salmon Counting characteristics of a population http://www.pbs.org/saf/1306/teaching/teaching2.htm based on the analysis of sample I4C: Using Excel to Anayze Results of a Simple Survey data. http://www.internet4classrooms.com/excel_survey.htm Slanted Surveys and Statistics Lesson http://www.crayola.com/lesson- plans/detail/slanted-surveys--statistics-lesson-plan/ Conducting A survey: http://www.dnr.state.md.us/education/growfromhere/Lesson12/lesson12.htm Internet 4 Classrooms http://www.internet4classrooms.com/skills-6th- mathbuilders.htm 0606.1.6 Read and interpret the language N/A Math Forum: How do you write a good solution? of mathematics and use written/oral http://mathforum.org/elempow/writing.html communication to express mathematical ideas precisely. Grade 6 – Math –1st Nine Weeks 0606.3.1 Write and solve two-step Reason about and Navigating through Algebra Grades 6-8 Chapter 2 Ext pg 76 equations and inequalities. solve one-variable Math Playground: Algebraic Reasoning Chapter 12 Sec 2 pg 604 equations and http://www.mathplayground.com/algebraic_reasoning.html Hands-on Lab pg 602 SPI 0606.3.1 Represent on a number inequalities. Solving two-step equation presentation. Teacher Tube line the solution of a linear inequality. http://www.teachertube.com/viewVideo.php?video_id=10341&title=Multi_ 0606.3.2 Write and solve one-step Steps_Equations inequalities corresponding to given Solving two step linear equations situations (non-negative numbers http://www.teachertube.com/viewVideo.php?video_id=8505&title=Solving only). _algebraic_equation_using_inverse_operation Cool Math: Algebra Crunchers http://www.coolmath.com/algebra/algebra- SPI 0606.3.6 Solve two-step linear practice-solving.html equations using number sense, Algebra Game http://www.quia.com/rr/42586.html properties, and inverse operations. 0606.3.1 Write and solve two-step linear equations corresponding to given situations (non-negative numbers only). 0606.3.2 Interpret and represent algebraic Apply and extend Navigating through Algebra Grades 3-5 Chapter 2 Sec 1 pg 48 relationships with variables in expressions, previous o “Variable Machine” pg 39 Chapter 2 Sec 2 pg 52 simple equations and inequalities. understandings of Navigating through Algebra Grades 6-8 Chapter 2 Sec 3 pg 58 arithmetic to Chapter 1 Sec 7 pg 31 o “Exploring Houses” pg 9 0606.3.3 Recognize the use of algebraic juxtaposition (such as 3x, ab) to expressions. o “Builiding with Toothpicks” pg 13 stand for multiplication, and the Literature: “Math for Smarty Pants” (computation, algebra, logical convention in these cases of writing reasoning) numbers before letters. Purple Math: Solving Inequalities: Linear and Nonlinear 0606.3.5 Use the commutative, http://www.purplemath.com/modules/ineqsolv.htm associative and distributive Absurd Math: Pre-Algebra from another dimension properties to show that two http://www.learningwave.com/abmath/ expressions are equivalent. Classroom Algebra games http://classroom.jc-schools.net/basic/math- 0606.3.7 Move fluently between algebra.html different representations (such as verbal, tabular, numerical, algebraic, and graphical) of equations and expressions. 0606.3.8 Represent patterns using words, graphs, and simple symbolic notation. Grade 6 – Math –1st Nine Weeks 0606.1.8 Use technologies/manipulatives N/A 6th Grade Algebra Activities SuperSource appropriately to develop understanding of http://www.thefutureschannel.com/activities_grade/6th_grade_algebra_activ Manipulatives mathematical algorithms, to facilitate ities.php problem solving, and to create accurate Georgetown: Lesson Plan: Trivial Persuits and Algebra Algebra Tile and reliable models of mathematical http://www9.georgetown.edu/faculty/sandefur/handsonmath/downloads/trivi Manipulatives concepts. al.htm Interactive algebra tiles http://www.gamequarium.com/algebratiles.html SPI 0606.1.5 Model algebraic Working with Algebra Tiles expressions using algebra tiles. http://mathbits.com/mathbits/AlgebraTiles/AlgebraTiles.htm 0606.1.1 Recognize different conventions used in calculator and computer spreadsheets (e.g., * for multiplication, ^ for exponent), but use mathematical notation in written work. 0606.1.11 Model algebraic expressions with manipulatives, technology, and pencil and paper. 0606.3.4 Use expressions, equations and Apply and extend Literature: “Green Eggs and Ham” (Algebraic Expressions and Equations – Chapter 2 Sec 4 pg 62 formulas to solve problems. previous Dr Seuss Comes to Middle School Math Activity Chapter 2 Sec 5 pg 66 understandings of http://www.mathsolutions.com/documents/Dr.Suess_Math_Class.pdf Chapter 2 Sec 6 pg 69 arithmetic to MathStar: May I Take Your Order? Chapter 2 Sec 7 pg 73 algebraic http://mathstar.lacoe.edu/lessonlinks/menu_math/var_order.html expressions. The Mathlab.com: Practice Activities http://www.themathlab.com/Algebra/section2.htm 0606.1.4 Move flexibly between concrete N/A NRICH: Fair Exchange? SuperSource and abstract representations of http://nrich.maths.org/public/viewer.php?obj_id=224 Manipulatives mathematical ideas in order to solve PBS: Melvin's Make-A-Match problems, model mathematical ideas, and http://pbskids.org/cyberchase/games/equivalentfractions/index.html communicate solution strategies. 0606.1.5 Illustrate properties of operations by showing that two expressions are equivalent in a given context (e.g., using an area model for distributive property, and grouping/set models for commutative and associative properties). Grade 6 – Math –1st Nine Weeks 0606.1.3 Develop independent reasoning to N/A Properties of Addition with Online Practice communicate mathematical ideas and http://www.321know.com/g6_74ax1.htm derive algorithms and/or formulas. Literature: “The King’s Chessboard” (estimation – Marilyn Burns Math and Literature grades 4-6 SPI 0606.1.4 Select the representation that models one of the arithmetic properties (commutative, associative, or distributive). Grade 6 – Math –1st Nine Weeks Suggested Integrated Activities Social Studies: Tools of the Historian –timelines/integers (S.S. book tools 1, 2, & 10) History of Math – Sumerian Advances in Science and Math (S.S. book pg 21) History of Math – Greek Advances in Science and Math (S.S. book pg 185-186) History of Math – Indian Advances in Science and Math (S.S. book pg 215-216) History of Math – Chinese Number system (S.S. book pg 236) History of Math - Algebra/Aerobic Numbers (S.S. book pg 391) Influential Math Mathematicians o Archimedes o Euclid o Pythagoras o Eratosthenes o Fibonacci o Leonardo daVinci o Galileo Social Studies Link – Archaeology/Order of Operations (Math textbook pg 23) Social Studies Link – Latitude & Longitude/Coordinate Plane (Math textbook pg 461) Social Studies Textbook Geography handbook pgs GH11-GH13 Science: Life Science Link – cell division/exponents (Math textbook pg 15) Earth Science Focus on Problem-Solving – weather/interpreting data (Math textbook pg 17) Problem-Solving on Location – wind energy/data interpretation (Math textbook pg 36) Earth Science Link – weather/data interpretation (Math textbook 272) Earth Science Link – climate//measures of central tendency (Math Textbook pg 281) Science Textbook Appendix pg 483-489 Reading and Language: Focus on Problem-Solving “Solve” pg 17 Math Journals Chapter 1 pg 7 (number lines), pg 11 (estimation), pg 15 (exponents), pg 23 (ordering), pg 27 (multiplying mentally) Write about It: last page of each lesson Focus on Problem-Solving “Understand the Problem” pg 463 Math Journals Chapter 9 pg 453 (negative numbers), pg 457 (integers), pg 461 (ordered pairs), pgs 468, 479, 485 Focus on Problem-Solving “Make a Plan” pg 283 Math Journals Chapter 6 pg 281 (outliers), pg 287 (double bar graphs), pg 293 (histograms), pg 300 (graphs), pg 304 (misleading graphs)