Grade 7 Mathematics

1 Grade 7 MathematicsSupport Document for Teachers2016 Manitoba Education and TrainingGr a d e 7 Ma t h eM a t i c sSupport Document for TeachersManitoba Education and Training Cataloguing in Publication DataGrade 7 Mathematics : support document for teachersIncludes bibliographical resource is available in print and electronic : 978-0-7711-5902-2 (print)ISBN: 978-0-7711-5903-9 (PDF)1. Mathematics Study and teaching (Secondary). 2. Mathematics Study and teaching (Secondary) Manitoba. I. Manitoba. Manitoba Education and Training. 2016, the Government of Manitoba, represented by the Minister of Education and Education and Training School Programs Division Winnipeg, Manitoba, CanadaEvery effort has been made to acknowledge original sources and to comply with copyright law.

2 If cases are identified where this has not been done, please notify Manitoba Education and Training. Errors or omissions will be corrected in a future edition. Sincere thanks to the authors, artists, and publishers who allowed their original material to be images found in this resource are copyright protected and should not be extracted, accessed, or reproduced for any purpose other than for their intended educational use in this websites referenced in this resource are subject to change without notice. Educators are advised to preview and evaluate websites and online resources before recommending them for student use. Print copies of this resource (stock number 80636) can be purchased from the Manitoba Learning Resource Centre (formerly the Manitoba Text Book Bureau).

3 Order online at This resource is also available on the Manitoba Education and Training website at Available in alternate formats upon request. Contentsiiico n t e n t sList of Blackline Masters (BLMs) vGrade 7 Mathematics Blackline Masters vGrades 5 to 8 Mathematics Blackline Masters viiiAcknowledgements ixIntroduction 1 Overview 2 Conceptual Framework for Kindergarten to Grade 9 Mathematics 6 Assessment 10 Instructional Focus 12 Document Organization and Format 13 Number 1N u m b e r 7.

4 N .1 3N u m b e r 7. N . 2 19N u m b e r 7. N . 3 45N u m b e r 7. N . 4 63N u m b e r 7. N . 5 85N u m b e r 7 N . 6 117N u m b e r 7. N . 7 137 Patterns and Relations 1 Patterns and Relations (Patterns, and Variables and Equations) , , , , , , 3 Shape and Space 1 Shape and Space (Measurement) 3 Shape and Space (Measurement) 23 Shape and Space (3-D Objects and 2-D Shapes) 43 Shape and Space (Transformations) 73 Shape and Space (Transformations) 89 Grade 7 Mathematics : Support Document for TeachersivStatistics and Probability 1 Statistics and Probability (Data Analysis) , 3 Statistics and Probability (Data Analysis) 21 Statistics and Probability (Chance and Uncertainty) , , 41 Appendix 1 Models for Computing Decimal Numbers 1 Bibliography 1 ContentsvList of Blackline Masters (BLMs)

5 Grade 7 Mathematics Blackline MastersNumber (N)BLM : Math Language Crossword Puzzle (with Answer Key)BLM : Divisibility QuestionsBLM : Applying Divisibility RulesBLM : Whole and Decimal Number CardsBLM : Operation CardsBLM : Equivalent Percent, Fraction, and Decimal Cards (with Answer Key)BLM : Order of Operations and Skill-Testing QuestionsBLM : Money Problems BLM : Restaurant Bills and BikingBLM : Sample Scenarios 1 BLM : Sample Scenarios 2 BLM : Sample Scenarios 3 BLM : Decimal ProblemsBLM : Tic-Tac-Toe Frames BLM : Tic-Tac-Toe Frames (Medium Challenge) BLM : Tic-Tac-Toe Frame (Ultimate Challenge)BLM : Equivalent Fraction ChallengeBLM : It s Between: Rounding Decimal NumbersBLM : Choose Your QuestionBLM : Designing to Percent SpecificationsBLM : Determining the Whole, the Part, the Percent, and What to Find BLM : Finding the Missing Numbers in the Percent (Scenarios)BLM : Percent ProblemsBLM : Table for Recording Fractions and Their Decimal EquivalentsBLM : Interpreting and Recording Different Meanings of FractionsBLM : Improper Fraction and Mixed Number CardsBLM : Ace Aviation: Adding Fractions BLM : Ace Aviation: Subtracting FractionsBLM : Representing Recognizable Fractions and Writing Addition StatementsBLM : Representing Recognizable Fractions and Writing Subtraction StatementsBLM : Adding and Subtracting Fractions (Scenarios)BLM : Problems Involving FractionsBLM.

6 Centimetre Number LineBLM : Integer FootballBLM : Equivalent Fractions and DecimalsGrade 7 Mathematics : Support Document for TeachersviBLM : Equivalent Fractions, Decimals, and Percents BLM : Comparing Fraction and Decimal equivalents BLM : Ordering Decimal NumbersBLM : Sequential Fractions and Their Decimal EquivalentsBLM : Relating Numbers to BenchmarksBLM : Ordering Numbers and Verifying the OrderPatterns and Relations (PR)BLM : Patterns: A ProcessBLM : Sample PatternsBLM : Directions for Playing a Relations Game BLM : Understanding Concepts in Patterns and RelationsBLM : Possible Word Pattern Contexts to Match a RelationBLM : Formulating Relations to Match Word Descriptions of PatternsBLM : Creating Word Descriptions of Patterns and Matching RelationsBLM : Template for Creating and Solving Problems Using Information from a GraphBLM : Associating Clue Words with Operations and Expressions (with Answer Key) BLM : Solving Single-Variable One-Step EquationsBLM : Writing Expressions and Solving Equations That Match Word Descriptions BLM : Representing Equivalent Expressions on a Balance Scale (Sample) BLM : Representing Equivalent Expressions on a Balance Scale (Template)BLM : Representing Equivalent Expressions on a Balance Scale Using Variables for Unknowns (Sample)BLM : Representing Equivalent Expressions on a Balance Scale Using Variables for Unknowns (Template)BLM.

7 Representing Equivalent Expressions (Template)BLM : Evaluating Expressions, Given a Value for the VariableBLM : Solving Linear Equations: Pictorial and Symbolic RepresentationsBLM : Solving Linear Equations with Constants: Applying the Preservation of EqualityBLM : Solving Linear Equations with Numerical Coefficients: Applying the Preservation of EqualityBLM : Solving Linear Equations with Constants and Numerical Coefficients: Applying the Preservation of Equality BLM : Problems to Represent with Linear Equations and with Concrete Materials (with Answer Key) ContentsviiShape and Space (SS)BLM : Assorted Angle Cards BLM : Angle Classifications, Angle Estimations and Measures, and Perimeter BLM : Cut-outs for Angles of Different MeasuresBLM : Hinge Templates for Making AnglesBLM : A Table to Compare Measures of CirclesBLM : The Area of Rectangles (Assessing Prior Knowledge)BLM : Circles for Estimating AreaBLM : Parallel and Perpendicular Lines (Assessing Prior Knowledge)BLM.

8 Creating Perpendicular LinesBLM : Creating Perpendicular BisectorsBLM : Plotting Points on a Cartesian Plane (with Answer Key)BLM : Cartesian Plane Quadrant CardsBLM : Plot This Picture (with Answer Key)BLM : Comparing PointsBLM : A Coordinate Map BLM : Cartesian Plane Map and UFO TemplatesBLM : Exploring Transformations: UFO Pilot Training BLM : Recording Transformations: Travel LogbookBLM : Creating a Design Using ReflectionsBLM : Which Plot Is Correct?Statistics and Probability (SP)BLM : Finding the Centre of a Graph and Comparing the ValuesBLM : Exploring Measures of Central TendencyBLM : Simone s Spelling Scores (Questions)BLM : Simone s Spelling Performance RecordBLM : Using Central Tendency to Choose a QuarterbackBLM : Calculating the Percent of the TotalBLM : Percent of a Circle BLM : Data chart for Creating Circle GraphsBLM : Comparing Examples of Circle Graphs BLM : Translating Percentages in a Circle Graph into QuantitiesBLM : Recording Sheet for Fraction Decimal Percent EquivalentsBLM : What Is the Probability?

9 BLM : Experimental Probability Tally Sheet and Probability of OutcomesBLM : Which Conditions Affect Probability?BLM : Examples of Two Independent EventsBLM : Frequency chart for Organizing Outcomes for Two Independent : Probability Problems Involving Two Independent EventsGrade 7 Mathematics : Support Document for TeachersviiiGrades 5 to 8 Mathematics Blackline MastersBLM 5 : Observation FormBLM 5 : Concept Description Sheet #1 BLM 5 : Concept Description Sheet #2 BLM 5 : How I Worked in My GroupBLM 5 : Number CardsBLM 5 : Blank Hundred SquaresBLM 5 : Place-Value chart Whole NumbersBLM 5 : Mental Math StrategiesBLM 5 : Centimetre Grid PaperBLM 5 : Base-Ten Grid Paper BLM 5 : Multiplication TableBLM 5 : Fraction BarsBLM 5 : Clock FaceBLM 5 : SpinnerBLM 5 : Thousand GridBLM 5.

10 Place-Value Mat Decimal NumbersBLM 5 : Number FanBLM 5 : KWL ChartBLM 5 : Double Number LineBLM 5 : Algebra TilesBLM 5 : Isometric Dot PaperBLM 5 : Dot PaperBLM 5 : Understanding Words ChartBLM 5 : Number LineBLM 5 : My Success with Mathematical ProcessesBLM 5 : Percent Circle AcknowledgementsixWriterLana LandryRed River Valley Junior AcademyGrades 5 to 8 Mathematics Support Document Development Team (2006 2008)Holly ForsythFort La Bosse School DivisionLinda GirlingLouis Riel School DivisionChris HarbeckWinnipeg School DivisionHeidi HolstLord Selkirk School DivisionSteven HuntIndependent SchoolJan JebsenKelsey School DivisionBetty JohnsUniversity of ManitobaDianna KicenkoEvergreen School DivisionKelly KuzykMountain View School DivisionJudy MaryniukLord Selkirk School DivisionGreg SawatzkyHanover School DivisionDarlene WillettsEvergreen School DivisionManitoba E