Objective

							                                                         Newton Conover City Schools Instructional Guide
                                                                           2008-2009
                                                                        3rd Grade Math

                       Objective                              Essential Questions                  Key Vocabulary                 Resources             Notes
                                                                                        (not a complete list of vocabulary words)
Goal 1: Number and Operations - The learner                                                                                       *DPI Classroom
will model, identify, and compute with whole                                                                                      Strategies
numbers through 9,999.                                                                                                            *DPI Indicators
                                                                                                                                  *Interactive
                                                                                                                                  Whiteboard
                                                                                                                                  *Quizmo (Th)
                                                                                                                                  *Marcy Cook
                                                                                                                                  *Accelerated Math
                                                                                                                                  *Study Island
                                                                                                                                  *Versatiles
                                                                                                                                  *Math for the Real
                                                                                                                                  World (Th)
                                                                                                                                  *Mountain Math (Th)
Objective 1.01                                        How would you use                Expanded form                            *Base ten blocks
       Develop number sense for whole numbers          base ten blocks to               Written form                             *Base ten workmats
       through 9,999.                                  represent whole                  Standard form                            *Playing Cards ex.
                                                       numbers through                  Place                                    War
             Connect model, number word, and          9,999?                           Value                                    *Dice/Place Value
              number using a variety of               How do you write                 Compare/order                            Dice
              representations.                         numbers in a variety                                                       *I have, who has
                                                                                        Ones
             Build understanding of place value       of representations?                                                        games
                                                                                        Tens
              (ones through thousands).               What strategies do you           Hundreds
             Compare and order.                       use to order and
                                                                                        Thousands
                                                       compare numbers
                                                                                        Equal to
                                                       through 9,999?
                                                                                        Greater than
                                                                                        Less than
                                                                                        Numeral
                                                                                        Digit
                                                            Newton Conover City Schools Instructional Guide
                                                                              2008-2009
                                                                           3rd Grade Math

                        Objective                                Essential Questions              Key Vocabulary                  Resources             Notes
                                                                                        (not a complete list of vocabulary words)
                                                                                        Least
                                                                                        Greatest


Objective 1.02                                           How do you add and              Rounding                              *Base ten blocks
       Develop fluency with multi-digit addition          subtract numbers?               Sum                                   *Place value
       and subtraction through 9,999 using:              Why is estimating               Difference                            charts/grids
                                                          sums and differences a          Addend                                *Number lines
             Strategies for adding and subtracting       useful skill in solving         Estimate                              *Real world examples
              numbers.                                    problems?                       Inverse                               (menus, maps)
             Estimation of sums and differences                                                                                *Dice
                                                          How are addition and            Fact families
              in appropriate situations.                  subtraction related?            About
             Relationships between operations.          What strategies can be          Apprioxmately
                                                          used to estimate sums           Exact
                                                          and differences?
                                                                                          Accuracy
                                                                                       
Objective 1.03                                           How do you multiply             Multiples                             *”24” Game
       Develop fluency with multiplication from           and divide numbers?             Arrays                                Multi/Div.
       1x1 to 12x12 and division up to two-digit by      Why is estimating               Factors                               *Circle and Stars
       one-digit numbers using:                           products and quotients          Products                              *Quizmo-Multi/Div.
                                                          a useful skill in               Quotients                             *Dice
             Strategies for multiplying and                                                                                     *Multiplication CDs
                                                          solving problems?               Repeated addition
              dividing numbers.                          How are                         Divisor
                                                                                                                                 *Flash Cards
             Estimation of products and quotients        multiplication and                                                     *Literature
                                                                                          Dividends
              in appropriate situations.                  division related?                                                      Connections
                                                                                          Skip counting
             Relationships between operations.          What strategies can be                                                      The Grapes of
                                                                                          Remainder                             Math
                                                          used to estimate
                                                                                          Left-over                                  by Greg Tang
                                                               Newton Conover City Schools Instructional Guide
                                                                                 2008-2009
                                                                              3rd Grade Math

                         Objective                                  Essential Questions               Key Vocabulary                 Resources              Notes
                                                                                           (not a complete list of vocabulary words)
                                                             products and                  Estimate                                      17 Kings and 42
                                                             quotients?                    Pattern                                       Elephants by
                                                                                           Circles and Stars (pictures)                  Margaret Mahy
                                                                                                                                          A Remainder of
                                                                                                                                         One by Elinor
                                                                                                                                         Princzes
Objective 1.04                                              How do you describe           Identity                                 *Please Excuse My
       Use basic properties (identity, commutative,          each property of              Commutative                              Dear Aunt Sally
       associative, order of operations) for addition,       addition, subtraction,        Associative
       subtraction, multiplication, and division.            multiplication, and           Parenthesis
                                                             division?                     Property
                                                            How do you use the            Order of Operations
                                                             steps in the order of         Sequence
                                                             operations to solve a
                                                             problem?
Objective 1.05                                              (a) How can you                 Numerator                             *Fraction circles
       Use area or region models and set models of           concretely and                  Denominator                           *Number lines
       fractions to explore part-whole relationships.        symbolically represent          Mixed Number                          *Pattern blocks
                                                             fractions?                      Proper fraction                       *AIMS Activities:
              Represent fractions concretely and           (b) What strategies are         Improper fraction                        -Fraction Fringe
               symbolically (halves, fourths, thirds,        used to compare and             Greater than                             -Jelly Bean Rounds
               sixths, eighths).                             order fractions using                                                     -Seeing Fractions
                                                                                             Less than
              Compare and order fractions (halves,          models and                                                                 Among Ourselves
                                                                                             Equivalent
               fourths, thirds, sixths, eighths) using       benchmarks?                                                            *Fraction tiles
                                                                                             Compare
               models and benchmark numbers                 (c) How do you model                                                     (manipulative kits)
               (zero, one-half, one); describe                                               Order                                 *Fraction bars
                                                             and describe common
               comparisons.                                                                  Whole number                          *Geoboards
                                                             equivalence?
                                                                                            Consecutive
               Model and describe common                    (d) How do you                                                         *Literature
                                                                                             Fraction
                                                             Newton Conover City Schools Instructional Guide
                                                                               2008-2009
                                                                            3rd Grade Math

                         Objective                                Essential Questions              Key Vocabulary                  Resources               Notes
                                                                                         (not a complete list of vocabulary words)
               equivalents, especially relationships       describe the fractional       Diagram                                  Connections
               among halves, fourths, and eighths,         relationship between          Equal to                                      Fraction Action
               and thirds and sixths.                      two consecutive whole         Quarter                                  by
              Understand that the fractional              numbers?                                                                     Loreen Leedy
               relationships that occur between zero      (e) How do you                                                               Hershey’s
               and one also occur between every            change a mixed                                                          Fraction
               two consecutive whole numbers.              number to an improper                                                        Bar Book
              Understand and use mixed numbers            fraction and vice
               and their equivalent fraction forms.        versa?


Objective 1.06                                            What different                  Calculator                             *Week by Week
       Develop flexibility in solving problems by          strategies might you            Mental computation                     *Calculator Games
       selecting strategies and using mental               use to help you solve           Guess and Check                        *”24” Games
       computation, estimation, calculators or             mathematics                     Work it out                              (Add.,Sub.,Div. and
       computers, and paper and pencil.                    problems?                       Diagram                                   Multi.)
                                                          What tools might you            Work Backwards                         *Problem of the
                                                           use to solve math                                                       Day/Week
                                                                                           Make a list/chart
                                                           problems?                       Solution
                                                                                           Estimation
                                                                                           About

Goal 2: Measurement - The learner will                                                                                             *DPI Classroom
recognize and use standard units of metric and                                                                                     Strategies
customary measurement.                                                                                                             *DPI Indicators
                                                                                                                                   *Interactive
                                                                                                                                   Whiteboard
                                                                                                                                   *Quizmo (Th)
                                                          Newton Conover City Schools Instructional Guide
                                                                            2008-2009
                                                                         3rd Grade Math

                       Objective                               Essential Questions                  Key Vocabulary                 Resources               Notes
                                                                                         (not a complete list of vocabulary words)
                                                                                                                                   *Marcy Cook
                                                                                                                                   *Accelerated Math
                                                                                                                                   *Study Island
                                                                                                                                   *Versatiles
                                                                                                                                   *Math for the Real
                                                                                                                                   World (Th)
                                                                                                                                   *Mountain Math (Th)
Objective 2.01                                         How do you solve                 Hour                                     *Judy Clocks
       Solve problems using measurement concepts        problems using                   Minute                                   *Quizmo (time)
       and procedures involving:                        elapsed time?                    Elasped                                  *Write on/write off
                                                       How would you add                Second                                   clocks
             Elapsed time.                             or subtract to show              Months                                   *AIMS Activities
             Equivalent measures within the same                                                                                      -Melt an Ice Cube
                                                        elapsed time?                    Quarter hours
              measurement system.                      How do you find                  Half-past
                                                                                                                                       -Heat Energy and
                                                        equivalent measures?                                                            Color
                                                                                         A.M.
                                                                                         P.M.
                                                                                         Analog
                                                                                         Digital
                                                                                         Calendar
                                                                                         Year
                                                                                         Day
                                                                                         Decade
                                                                                         Seasons


Objective 2.02                                         How do you estimate              Estimate                                *Metric mass sets
       Estimate and measure using appropriate           and measure using                Unit                                    *Liquid measuring
                                                               Newton Conover City Schools Instructional Guide
                                                                                 2008-2009
                                                                              3rd Grade Math

                         Objective                                  Essential Questions                  Key Vocabulary                   Resources                Notes
                                                                                              (not a complete list of vocabulary words)
      units.                                                 appropriate units?               Appropriate                                pitchers
                                                            How can you read and             Customary                                  *Balances/scales
              Capacity (cups, pints, quarts, gallons,       record a given                   Metric                                     *Thermometers
               liters).                                      temperature using                Capacity                                   *Big G
              Length (miles, kilometers).                   Fahrenheit and                   Liquid                                     *King Gallon
              Mass (ounces, pounds, grams,                  Celsius?                                                                     *Making Gallon Men
                                                                                              Length
               kilograms).                                                                                                                   (Laura Candler)
                                                                                              Height
              Temperature (Fahrenheit, Celsius).                                                                                         *Scavenger Hunt
                                                                                              Width
                                                                                                                                          *Literacy Connections:
                                                                                              Weight                                          Thunder Cake by
                                                                                              Temperature                                     Patricia Polacco
                                                                                              Hot                                             How Big is a
                                                                                              Cold                                       Foot?
                                                                                              Thermometer                                     by Rolf Myller
                                                                                              Yard stick
                                                                                              Ruler
                                                                                              Container
                                                                                              Risen/rose
                                                                                              Increase
                                                                                              Decrease
                                                                                              Fell/drop


Goal 3: Geometry - The learner will recognize                                                                                             *DPI Classroom
and use basic geometric properties of two- and                                                                                            Strategies
three-dimensional figures.                                                                                                                *DPI Indicators
                                                                                                                                          *Interactive
                                                                                                                                          Whiteboard
                                                      Newton Conover City Schools Instructional Guide
                                                                        2008-2009
                                                                     3rd Grade Math

                       Objective                           Essential Questions                  Key Vocabulary                 Resources              Notes
                                                                                     (not a complete list of vocabulary words)
                                                                                                                               *Quizmo (Th)
                                                                                                                               *Marcy Cook
                                                                                                                               *Accelerated Math
                                                                                                                               *Study Island
                                                                                                                               *Versatiles
                                                                                                                               *Math for the Real
                                                                                                                               World (Th)
                                                                                                                               *Mountain Math (Th)
                                                                                                                               *Geoboards
                                                                                                                               *Solid Shapes
Objective 3.01                                     How do you compare,              Congruent                                *Venn Diagram
       Use appropriate vocabulary to compare,       describe and classify            Symmetric/Symmetrical                    *Tangrams
       describe, and classify two- and three-       two- and three-                  Polyhedron                               *Shape Riddles
       dimensional figures.                         dimensional figures              Sphere/Cone/Cube/Prisms/Cylinder         *Pattern Blocks
                                                    using appropriate                Line segment                             *Origami
                                                    vocabulary?                      Point                                    *Literature
                                                                                                                               Connection:
                                                                                     Line
                                                                                                                                  -The Greedy
                                                                                     Ray
                                                                                                                                   Triangle by
                                                                                     End point                                    Marilyn Burns
                                                                                     Parallel                                   -A Cloak for the
                                                                                     Angles-Right, Acute, Obtuse                 Dreamer by Aileen
                                                                                     Vertex                                      Friedman
                                                                                     Face
                                                                                     Polygons-triangle, quadrilateral
                                                                                      (parallelogram, trapezoid, rhombus,
                                                                                      square, rectangle), pentagon, hexagon,
                                                                                      octagon, decagon
                                                                                     Edge
                                                            Newton Conover City Schools Instructional Guide
                                                                              2008-2009
                                                                           3rd Grade Math

                        Objective                                Essential Questions                  Key Vocabulary                 Resources               Notes
                                                                                           (not a complete list of vocabulary words)
                                                                                           Plane figure
                                                                                           Triangular
                                                                                           Figure
                                                                                           Solid
                                                                                           2-dimensional
                                                                                           3-dimensional

Objective 3.02                                           How would ordered                Grid                                    *Creating a town using
       Use a rectangular coordinate system to solve       pairs using numbers              Order pair                              coordinate grid
       problems.                                          and/or letters help you          Point                                   *Battleship
                                                          determine your                   Axis                                    *Order Pair Spelling
             Graph and identify points with whole        location?                        Coordinate
              number and/or letter coordinates.          How would you                    East, West, North, South, Left and
             Describe the path between given             describe the path                 Right
              points on the plane                         between several points           Diagonal
                                                          positioned on the                Units
                                                          plane?
                                                                                           Path
                                                                                           parenthesis
Goal 4: Data Analysis and Probability - The                                                                                         *DPI Classroom
learner will understand and use data and simple                                                                                     Strategies
probability concepts.                                                                                                               *DPI Indicators
                                                                                                                                    *Interactive
                                                                                                                                    Whiteboard
                                                                                                                                    *Quizmo (Th)
                                                                                                                                    *Marcy Cook
                                                                                                                                    *Accelerated Math
                                                                                                                                    *Study Island
                                                             Newton Conover City Schools Instructional Guide
                                                                               2008-2009
                                                                            3rd Grade Math

                         Objective                                Essential Questions                  Key Vocabulary                 Resources               Notes
                                                                                            (not a complete list of vocabulary words)
                                                                                                                                      *Versatiles
                                                                                                                                      *Math for the Real
                                                                                                                                      World (Th)
                                                                                                                                      *Mountain Math (Th)
Objective 4.01                                            What are some various            Axis                                     *Real world examples
       Collect, organize, analyze, and display data        ways data collection             Circle graph                             *Literature
       (including circle graphs and tables) to solve       can be shown?                    Pictograph                               Connection:
       problems.                                          How does the                     Line graph                                  -Chrysanthemum
                                                           available data enable            Intervals                                by
                                                           you to make a                    Line plot                                    Kevin Henkes
                                                           prediction or                    Tally
                                                           conclusion?                      Survey
                                                          How do you choose an             T-chart
                                                           appropriate graph to
                                                                                            Table
                                                           represent the data?
                                                                                            Scale
                                                                                            Chart
                                                                                            Venn Diagram (Double/Triple)
                                                                                            data
Objective 4.02                                            What strategies are              Arrangements                             *Real world problems
       Determine the number of permutations and            used to determine                List                                     *Spinners
       combinations of up to three items.                  permutations and                 Possible outcomes                        *Literature
                                                           combinations of up to            Order                                    Connection:
                                                           three items?                     Permutations                               -A Three Hat Day by
                                                                                            combinations                                Laura Geringer

Objective 4.03                                            How do you solve and             Likely                                  *Real world examples
       Solve probability problems using                    display probability              unlikely
                                                         Newton Conover City Schools Instructional Guide
                                                                           2008-2009
                                                                        3rd Grade Math

                       Objective                              Essential Questions                  Key Vocabulary                 Resources             Notes
                                                                                        (not a complete list of vocabulary words)
      permutations and combinations.                   problems using                   Most likely
                                                       permutations and                 Least likely
                                                       combinations?                    Certain
                                                                                        Impossible
                                                                                        Possible
                                                                                        Probable
                                                                                        Prediction
                                                                                        Likelihood
                                                                                        Possible outcomes
                                                                                        Permutations
                                                                                        Combinations
Goal 5: Algebra - The learner will recognize,                                                                                     *DPI Classroom
determine, and represent patterns and simple                                                                                      Strategies
mathematical relationships.                                                                                                       *DPI Indicators
                                                                                                                                  *Interactive
                                                                                                                                  Whiteboard
                                                                                                                                  *Quizmo (Th)
                                                                                                                                  *Marcy Cook
                                                                                                                                  *Accelerated Math
                                                                                                                                  *Study Island
                                                                                                                                  *Versatiles
                                                                                                                                  *Math for the Real
                                                                                                                                  World (Th)
                                                                                                                                  *Mountain Math (Th)
Objective 5.01                                        How do you describe              Pattern core                             *Unifix cubes
       Describe and extend numeric and geometric       and extend numeric               Pattern unit                             *Hundreds boards
       patterns.                                       and geometric                    Unknown                                  *Number lines
                                                       patterns?                        Symbol                                   *Mountains and
                                                          Newton Conover City Schools Instructional Guide
                                                                            2008-2009
                                                                         3rd Grade Math

                        Objective                              Essential Questions                  Key Vocabulary                   Resources         Notes
                                                                                         (not a complete list of vocabulary words)
                                                                                         Rule                                       Valleys
                                                                                         Numeric                                    *Pattern Blocks
                                                                                         Geometric
                                                                                         Ordinal Numbers
                                                                                         extend
                                                                                         repeated
Objective 5.02                                         What is the rule used            Pattern unit                               *Mountains and
       Extend and find missing terms of repeating       in determining a                 Pattern core                               Valleys
       and growing patterns.                            pattern?                         Unknown                                    *Pattern blocks
                                                       What strategies would            Rule                                       *Number lines
                                                        you use to find a                Symbol
                                                        missing number or                Ordinal Numbers
                                                        shape within a pattern           Extend
                                                        sequence?                        Repeated
                                                       How would you                    Increasing
                                                        extend the pattern?
                                                                                         Decreasing

Objective 5.03                                         How do you use                   Symbol                                     *Equations
       Use symbols to represent unknown                 symbols to represent             Variable
       quantities in number sentences.                  unknown quantities in            Unknown
                                                        number sentences?                Equation
                                                                                         Expression
                                                                                         Number sentence
                                                                                         Form
                                                                                         Value
                                                                                         Inequality
                                                                                         Quantity
                                                         Newton Conover City Schools Instructional Guide
                                                                           2008-2009
                                                                        3rd Grade Math

                       Objective                              Essential Questions                  Key Vocabulary                 Resources             Notes
                                                                                        (not a complete list of vocabulary words)
                                                                                        Represent
                                                                                        Equal to
Objective 5.04                                        How do you find the              Equation                                 *Marcy Cook balance
       Find the value of the unknown in a number       value of the unknown             Expression                               activity
       sentence.                                       in a number sentence?            Added balance
                                                                                        Variable
                                                                                        Unknown
                                                                                        Number sentence
                                                                                        Form
                                                                                        Inverse
                                                                                        Inequality
                                                                                        Equal to


Websites for Math
www.rockinthestandards.coom                                       www.numbernut.com
www.mathplayground.com                                            www.internet4classrooms.com
www.prongo.com                                                    www.studyisland.com
www.funbrain.com                                                  www.technology.usd.259.org/resources/whiteboards/smartlessons.htm#ESL
www.Aplusmath.com                                                 www.gamequarium.com
www.iknowthat.com                                                 http://www.mrshurleysesl.com/smart_favorites.html
www.multiplication.com
www.rainforestmaths.com
www.mathfactscafe.com
www.teachingtables.co.uk
www.kidsnumbers.com
www.toonuniversity.com
www.lauracandler.com
            Newton Conover City Schools Instructional Guide
                              2008-2009
                           3rd Grade Math

Objective        Essential Questions             Key Vocabulary                  Resources   Notes
                                       (not a complete list of vocabulary words)