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					                                                                                       Youngstown City Schools
                                                                           Instruction Department 2009-2010 School Year
                                                                                    Math Pacing Guide    Grade 5
                                                                                              Quarter 3

                                                                                                                          RESOURCES/ACTIIVITIES (Basic,
  STANDARD, BENCHMARK,                    GRADE LEVEL                    TOPICS                 INTERDISCIPLINARY             Proficient, Accelerated)           ASSESSMENT/
    PAGE OF ACADEMIC                       INDICATOR                                              CORRELATIONS                                               EVIDENCE COLLECTION
   CONTENT STANDARDS
Mathematical Process                 ME 1 .Identify and select      point line ray angle                                                                     Assessment Options:
Standards                            appropriate units to           line segment                                                                             Assessing Prior
A. Clarify problem-solving           measure angles; i.e.,          parallel lines                                                                           Knowledge: Check
situation and identify potential     degrees.                       intersecting lines                                                                       What you Know
solution processes; e.g.,consider                                   perpendicular lines                                   Lesson: Angles and Lines           Test Preparation:
different strategies and             ME 7. Use benchmark            degree                                                                                   Standardized Test
approaches to a problem, restate     angles (e.g.; 45º, 90º,                                                              Lesson : 20.1 Lines and Angles     Prep, Mixed Review
problem from various                 120º) to estimate the          protractor                                            TE pp. 428-431                     and Test Prep, Getting
perspectives.                        measure of angles, and                                                                                                  Ready for the Ohio
B. Apply and adapt problem-          use a tool to measure and                                                                                               Mathematics
solving strategies to solve a        draw angles.                   acute angle                                                                              Achievement Test.
variety of problems, including                                      angle                                                                                    Formal Assessment:
unfamiliar and non-routine           GSS 2. Use standard            degree                                                Lesson: Degrees of Rotation        Chapter Review/Test,
problem situations.                  language to describe line,     line segment                                          Lesson : 20.2 Measure and Draw     Pretest and Posttest
C. Use more than one strategy        segment, ray, angle,           obtuse angle                                          Angles                             Options, Unit Test
to solve a problem, and              skew, parallel and             ray                                                   TE pp. 432-433                     Student Self-
recognize there are advantages       perpendicular.                 right angle                                                                              Assessment: How Did
associated with various                                             rotation                                                                                 I Do, A Guide to My
methods.                             GSS 3. Label vertex, rays,                                                                                              Math Portfolio, Math
D. Recognize whether an              interior and exterior for an                                                                                            Journal
estimate or an exact solution is     angle.                         protractor                                                                               Continuous
appropriate for a given problem                                     ray, vertex,                                                                             Assessment: Quick
situation.                                                          vertices,                                                                                Review, Mixed Review
E. Use deductive thinking to                                        acute, obtuse,                                                                           and Test prep, Number
construct informal arguments to                                     right, degree of                                                                         of the Day, Lesson Quiz
support reasoning and to justify                                    rotation
solutions to problems.                GSS 7.Understand that                                                               Lesson: 20.3 Angles and Polygons
F. Use inductive thinking to         the measure of an angle is     polygon,                                              TE pp. 434-437
generalize a pattern of              determined by the degree       regular polygon
observations for particular cases,   of rotation of an angle side                                                                                                  Assessments
make conjectures, and provide        rather than the length of
supporting arguments for             either side.
conjectures.
G. Relate mathematical ideas
                                                                                       Youngstown City Schools
                                                                          Instruction Department 2009-2010 School Year
                                                                                   Math Pacing Guide    Grade 5
                                                                                             Quarter 3

                                                                                                                         RESOURCES/ACTIIVITIES (Basic,
  STANDARD, BENCHMARK,                   GRADE LEVEL                    TOPICS                  INTERDISCIPLINARY            Proficient, Accelerated)             ASSESSMENT/
    PAGE OF ACADEMIC                      INDICATOR                                               CORRELATIONS                                                EVIDENCE COLLECTION
   CONTENT STANDARDS
to one another and to other         GSS 1. Draw circles, and       radius
content areas; e.g., use area       identify and determine         radius                                                                                     Assessment Options:
models for adding fractions,        relationships among the        diameter                                                                                   Assessing Prior
interpret graphs in reading,        radius, diameter, center       degrees                                               Properties of Circles – Grade Five   Knowledge: Check
science and social studies.         and circumference: e.g.,       center the circle                                                                          What you Know
H. Use representations to           radius is half the diameter,   circumference                                         Lesson: 20.4 Circles                 Test Preparation:
organize and communicate            the ratio of the               pi                                                    TE pp 438-441                        Standardized Test
mathematical thinking and           circumference of a circle                                                                                                 Prep, Mixed Review
problem solutions.                  to its diameter is an                                                                 Lesson : 25.4 Algebra:              and Test Prep, Getting
I. Select, apply, and translate     approximation of .                                                                  Circumference                        Ready for the Ohio
among mathematical                                                                                                       TE pp. 552-553                       Mathematics
representations to solve            GSS 5. Use physical            isosceles                                             Lesson: 21.1 Triangles               Achievement Test.
problems; e.g., representing        models to determine the        scalene                                                TE pp. 456-459                      Formal Assessment:
a number as a fraction, decimal     sum of the interior angles     equilateral                                                                                Chapter Review/Test,
or percent as appropriate for a     of triangles and                                                                                                          Pretest and Posttest
problem.                            quadrilaterals.                                                                                                           Options, Unit Test
J. Communicate mathematical                                                                                                                                   Student Self-
thinking to others and analyze      ME 6. Use strategies to                                                                                                   Assessment: How Did
the mathematical thinking and       develop formulas for                                                                                                      I Do, A Guide to My
strategies of others.               determining perimeter and                                                                                                 Math Portfolio, Math
K. Recognize and use                area of triangles,                                                                                                        Journal
mathematical language and           rectangles and                                                                                                            Continuous
symbols when reading, writing       parallelograms, and                                                                                                       Assessment: Quick
and conversing with others.         volume of rectangular                                                                                                     Review, Mixed Review
                                    prisms.                                                                                                                   and Test prep, Number
Benchmarks                                                                                                                                                    of the Day, Problem of
By the end of the 5-7 program:      GSS 4.Describe and use         congruent                                             Lesson: 20.5 Congruent and Similar   the Day, Lesson Quiz
Geometry and Spatial Sense          properties of congruent        similar                                               Figures
A. Identify and label angle parts   figures to solve problems.     polygon                                               TE pp. 442 – 445
and the regions defined within
the plane where the angle           GSS 2. Use standard
resides.                            language to describe line,                                                                                                      Assessments
B. Draw circles, and identify and   segment, ray, angle,
determine the relationships         skew, parallel and
among the radius, diameter,         perpendicular.
center and circumference.
                                                                                Youngstown City Schools
                                                                        Instruction Department 2009-2010 School Year
                                                                                 Math Pacing Guide    Grade 5
                                                                                           Quarter 3

                                                                                                                       RESOURCES/ACTIIVITIES (Basic,
  STANDARD, BENCHMARK,                    GRADE LEVEL                 TOPICS               INTERDISCIPLINARY               Proficient, Accelerated)            ASSESSMENT/
    PAGE OF ACADEMIC                       INDICATOR                                         CORRELATIONS                                                  EVIDENCE COLLECTION
   CONTENT STANDARDS
D. Identify, describe and classify
types of line pairs, angles, two-    ME 5. Make conversions                                                            Lesson: 24.1 Customary Length
dimensional figures and three-       within the same                                                                   TE pp. 522-525
dimensional objects using their      measurement
properties.                          system while performing                                                           Lesson: 24.2 Metric Length
F. Describe and use the              computations.                                                                     TE pp. 526-527
concepts of congruence,              .
similarity and symmetry                                                                                                Lesson 7.1 Multiply Whole Numbers
o solve problems.                                                                                                      TE pp. 148 – 149
G. Describe and use
properties of triangles to solve                                                                                       Lesson 7.2 Multiply by 1-Digit
problems involving angle                                                                                               Numbers
measures and side lengths of                                                                                           TE pp. 150– 151
right triangles.
I. Identify and draw                                                                                                   Lesson 7.3 Multiply by 2-Digit
three-dimensional objects                                                                                              Numbers
from different views                                                                                                   TE pp. 152 - 153
(top, side, front and side
perspective).                                                                                                          Lesson: 24.3 Change Linear Units
Measurement.                                                                                                           TE pp. 528-531
A. Select appropriate units
to measure angles,
circumference, surface area,         NNS 5. Recognize and        exponent                                              Lesson: 14.1 Introduction to
mass and volume,using:               identify perfect squares    “squaring” (for                                       Exponents
• U.S. customary units;              and their roots.            labeling area)
e.g., degrees, square                                            “cubing” (for
feet, pounds, and other                                          labeling volume)
units as appropriate;                ME 6. Use strategies to
• metric units; e.g.,                develop formulas for
square meters,                       determining
kilograms and other                  perimeter and area of                                                             Lesson: Linear, Square and Cubic
units as appropriate.                triangles, rectangles and                                                         Units
B. Convert units of length, area,    parallelograms, and
volume, mass and time within         volume of rectangular                                                             Lesson: 26.2 Area of Squares and
the same measurement system.         prisms.                                                                           Rectangles
C. Identify appropriate tools                                                                                          TE pp. 564-567
                                                                                    Youngstown City Schools
                                                                         Instruction Department 2009-2010 School Year
                                                                                  Math Pacing Guide    Grade 5
                                                                                            Quarter 3

                                                                                                                        RESOURCES/ACTIIVITIES (Basic,
  STANDARD, BENCHMARK,                    GRADE LEVEL                   TOPICS               INTERDISCIPLINARY              Proficient, Accelerated)              ASSESSMENT/
    PAGE OF ACADEMIC                       INDICATOR                                           CORRELATIONS                                                   EVIDENCE COLLECTION
   CONTENT STANDARDS
and apply appropriate                ME 4. Demonstrate
techniques for measuring             understanding of the
angles, perimeter or                 differences among linear
circumference and area of            units, square units and
triangles, quadrilaterals, circles   cubic units.
and composite shapes, and
surface area and volume              ME 6. Use strategies to      area                                                  Lesson: 26.3 Relate Perimeter and
of prisms and cylinders.             develop formulas for         attribute                                             Area
E. Use problem solving               determining perimeter and    perimeter                                             TE pp. 568 – 571
techniques and technology            area of triangles,           square units
as needed to solve problems          rectangles and               width                                                 Lesson: 26.4 Area of Triangles
involving length, weight,            parallelograms, and          polygon,                                              TE pp. 572-575
perimeter, area, volume, time        volume of rectangular        regular polygon
and temperature.                     prisms.                      quadrilaterals,                                       Lesson: 26.5 Area of Parallelograms
F. Analyze and explain what                                       parallelogram,                                        TE pp. 576 – 579
happens to area and                  ME 4. Demonstrate            trapezoid,
perimeter or surface area            understanding of the         rhombus
and volume when the                  differences among linear
dimensions of an object are          units, square units and      dimensions
changed.                             cubic units.                 length
G. Understand and demonstrate                                     width
the independence of perimeter
and area for two-dimensional         ME 4. Demonstrate            solid figures                                         Lesson: 21.4 Solid Figures
shapes and of surface area and       understanding of the         base, face                                             TE pp. 466-469
volume for three- dimensional        differences among linear     prism
shapes.                              units, square units and      pyramid
Number and Number Sense              cubic units.                 3-dimensional
Operations
G. Apply and explain the use         GSS 8. Predict what          net                                                   Lesson: 27.1 Nets For Solid Figures
of prime factorizations, common      three-dimensional object                                                           TE pp. 586-589
factors, and common multiples in     will result from folding a
problem situations.                  two-dimensional net, then                                                          It’s In The Bag, TE pp. 604
                                     confirm the prediction by
                                     folding the net.
                                                                      Youngstown City Schools
                                                              Instruction Department 2009-2010 School Year
                                                                       Math Pacing Guide    Grade 5
                                                                                 Quarter 3

                                                                                                             RESOURCES/ACTIIVITIES (Basic,
STANDARD, BENCHMARK,         GRADE LEVEL                    TOPICS               INTERDISCIPLINARY               Proficient, Accelerated)              ASSESSMENT/
  PAGE OF ACADEMIC            INDICATOR                                            CORRELATIONS                                                    EVIDENCE COLLECTION
 CONTENT STANDARDS
                       ME 3. Demonstrate and                                                                 Lesson: 27.2 Surface Area
                       Describe the differences        surface area                                          TE pp. 590-591
                       between covering the
                       faces (surface area) and
                       filling the interior (volume)
                       of three-dimensional
                       objects.

                       ME 3. Demonstrate and           cubic units                                           Lesson: 27.3 Algebra: Estimate and
                       describe the differences                                                              Find Volume
                       between covering the                                                                  TE pp. 592-595
                       faces (surface area) and
                       filling the interior (volume)   volume                                                Lesson: 27.4 Measure Perimeter
                       of three-dimensional            dimensions                                            Area and Volume
                       objects.                        length                                                TE pp. 596-597
                                                       width
                       GSS 4.Describe and use          height                                                Technology Linkup
                       properties of congruent                                                               TE p. 609
                       figures to solve problems.
                                                                                                             Lesson: 27.5 Problem Solving Skill:
                                                                                                             Use a Formula
                                                                                                             TE pp. 598-599

                                                                                                             Performance Assessment (Volume
                                                                                                             and Surface Area)
                                                                                                             TE p. 608

                       5. Make conversions             millimeter (mm),                                      Lesson : 24.4 Customary Capacity
                       within the same                 centimeter (cm),                                      and Weight
                       measurement system              meter (m),                                            TE pp. 532-533
                       while performing                kilometer (km)
                       computations.
                                                       mass
                                                       milligrams,
                                                       grams,                                                Lesson: Customary Measurement
                                                       kilograms                                             Conversions (liquids)
                                                     Youngstown City Schools
                                              Instruction Department 2009-2010 School Year
                                                       Math Pacing Guide    Grade 5
                                                                 Quarter 3

                                                                                             RESOURCES/ACTIIVITIES (Basic,
STANDARD, BENCHMARK,   GRADE LEVEL         TOPICS                INTERDISCIPLINARY               Proficient, Accelerated)            ASSESSMENT/
  PAGE OF ACADEMIC      INDICATOR                                  CORRELATIONS                                                  EVIDENCE COLLECTION
 CONTENT STANDARDS
                                                                                             Lesson : 24.5 Metric Capacity and
                                     capacity                                                Mass
                                     cup                                                     TE pp. 534-535
                                     customary
                                     measures                                                Lesson Problem Solving On
                                     gallon                                                  Location: In Washington D.C
                                     pint                                                    TE pp. 610-611.
                                     quart
                                     standard
                                     measures
                                     teaspoon
                                     tablespoon

                                     milliliters
                                     liters
                                     kiloliters

				
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