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```							                                                         Newton Conover City Schools Instructional Guide
2008-2009

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

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
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

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
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

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

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

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
    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

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

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
(parallelogram, trapezoid, rhombus,
square, rectangle), pentagon, hexagon,
octagon, decagon
    Edge
Newton Conover City Schools Instructional Guide
2008-2009

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
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

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

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

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

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

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

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