# math

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```					                                                   Curriculum Map
Grade: Third Math                                 School: Parkside Elementary                                    Date: 1-12-2010

Month               Content                    Skills Learned                                  Assessment
First Quarter
*Recognize & extend        - Students will extend geometric (shapes)    - Students will organize information and identify
patterns                   and numeric patterns to find the next term   geometric or numeric patterns by explaining why a
AR1A                                                                   certain number or shape should come next.
- Common Assessment 1.1
- Benchmark 1

*Classify and describe     - Students will classify numbers by their    - Students will organize, describe, and infer the
numeric relationships     characteristics, including odd and even      relationships of numbers patterns by completing a variety
NO1D                                                                   of number lines.
- Common Assessment 1.1
- Benchmark 1

*Compose and decompose     - Students will recognize equivalent         - Students will identify sets of numbers and groups by
numbers                   representations for the same number          ones, tens, hundreds, using expanded notation. They will
August/      NO1C                      and generate the number by decomposing       create 3 to 5 digit numbers Each student will be required
September                              and composing numbers including              to write each number three different ways (expanded
expanded notation                            from, standard form, word form)
- Common Assessment 1.1
- Benchmark 1

*Read, write and compare   – Students will read, write                  - Students will read four 3 digit numbers and place them
numbers                    and compare whole numbers up to 10,000       in order from greatest to least.
NO1A                                                                   - Common Assessment 1.2
- Benchmark 1

*Estimate and justify      – Students will estimate and justify sums    - Students will be assessed by an activity chosen by the
solutions                  and differences of whole numbers             teacher that requires them to estimate addition and
NO3D                                                                   subtraction of various numbers and write their
justification for their estimate on paper.
- Common Assessment 1.2
- Benchmark 1
*Describes effects of    - Students will describe the effects of       - Students will demonstrate the relationship of addition
operations               adding and subtracting whole numbers as       and subtraction through the use of fact families. Students
NO2B                    well as the relationship between the two      will check problems by working backwards.
operations                                    - Common Assessment 1.3
- Benchmark 1

*Compute problems        - Students will apply and describe the
NO3C                    strategy used to compute up to 3-digit        - Students will be assessed by an activity that requires
addition or subtraction problems              them to solve 2 and 3 digit addition with and without
regrouping.
- Common Assessment 1.3
- Benchmark 1
*Describe and use        - Students will use the commutative,
mathematical             distributive and associative properties for   - Students will be required to convert numbers to
manipulation            basic facts of whole numbers                  evaluate patterns and relationships to analyze numbers
AR2B                                                                  properties.
October                                                                          - Common Assessment 1.3
- Benchmark 1

Second Quarter
*Describes effects of    - Students will describe the effects of       - Students will demonstrate the relationship of addition
operations               adding and subtracting whole numbers as       and subtraction through the use of fact families. Students
NO2B                    well as the relationship between the two      will check problems by working backwards
operations                                    - Common Assessment 2.1
- Benchmark 2
*Compute problems        - Students will apply and describe the
NO3C                    strategy used to compute up to 3-digit        - Students will complete subtraction problems by using a
addition or subtraction problems              number line.
- Common Assessment 2.1
- Benchmark 2
Represent mathematical   - Students will represent a mathematical
situations               situation as an expression or number          - Students will write a number sentence to
*AR2A.                   sentence                                      represent a given situation.
- Common Assessment 2.1
- Benchmark 2
*Count and compute          - Student will determine change from          - Students will be given \$5.00. He/She will need to
money                       \$5.00 and add & subtract money to values      purchase 2 or more items from a menu, figure the amount
M1D                        of \$5.00                                      owed and the amount of change returned.
- Common Assessment 2.1
- Benchmark 2

*Represent operations       - Students will represent/model a given       - Students will be assessed by being required to make
NO2A                       situation involving multiplication and        equal groups of a given problem.
related division using various models         - Common Assessment 2.2
including sets, arrays, areas, repeated       - Benchmark 2
addition/subtraction, sharing and
partitioning

*Describe or represent      - Students will represent a mental strategy   - Students will summarize strategies used to solve a basic
mental strategies           used to compute a given multiplication        multiplication problem. Students will show their work
NO3A                        problem up to 9 x 9                           and explain how they constructed the answer. Students
will identify patterns when solving multiplication (array
and repeated addition).
November/                                                                             - Common Assessment 2.2
December                                                                              - Benchmark 2

*Describe and               - Students will use strategies to develop     - Students will be assessed by using a performance event
demonstrate fluency         fluency with basic number relationships       that requires them to solve basic multiplication and
NO3B                       (9 X 9) of multiplication and division        division facts and then tell the steps they followed to
solve each problem.
- Common Assessment 2.2
- Benchmark 2

*Describe and use           - Students will use the commutative,          - Students will be required to convert numbers to
mathematical                distributive and associative properties for   evaluate patterns and relationships to analyze numbers
manipulation                basic facts of whole numbers                  properties.
AR2B                                                                     - Common Assessment 2.2
- Benchmark 2

-
*Use mathematical models - Students will model problem situations,        - Students will demonstrate to the teacher a
AR3A                    including multiplication with objects or         multiplication problem using groups and so many
drawings                                         numbers of items in each group.
Common Assessment 2.2
Benchmark 2
Third Quarter
*Tell and use units of time   - Students will tell time to the nearest     - Student will be assessed by an activity that requires
M1C                          five minutes                                 them to identify time to five minutes
- Common Assessment 3.1
- Benchmark 3

*Determine unit of            - Students will identify, justify and use    - Students will be given various objects and be required
measure                       the appropriate unit of measure              to determine which unit of measurement to utilize to
M1A                          (linear, time, weight)                       measure the objects.
- Common Assessment 3.1
- Benchmark 3
- Students will explore ways to create a bar graph that
*Represent and interpret      - Students will read and interpret
shows the number of counters for each color. Students
data                          information from line plots and graphs
will draw a bar graph that shows double the number of
DP1C                         (bar, line, pictorial)
counters.
- Common Assessment 3.1
- Benchmark 3
January
- Students will represent patterns using the rule of the
*Create and analyze           - Students will represent patterns using
patterns and creating a table, graph, or write an
patterns                      words, tables or graphs
explanation of the rule.
AR1B                                                                      - Common Assessment 3.1
- Benchmark 3

- Students will be assessed by having to complete
*Describe and analysis        - Students will describe the shape of data
pictograph using the same information and write a
data                          and analyze it for patterns
paragraph about their pictograph.
DP2A                                                                      - Common Assessment 3.1
- Benchmark 3

*Formulate questions          - Students will design investigations to     Students will gather data from worksheet. They will put
DP1A                          address a given question                     the information into a graph to determine the answer to
"How many students likes vanilla ice cream?"
- Common Assessment 3.1
- Benchmark 3

- Students will describe location using      - Students will be given an activity that involves finding
*Use coordinate system                                                     an item by following directional words correctly
GSR2A                         common language and geometric
vocabulary.(forward, back, left, right,      - Common Assessment 3.1
north, south, east, west)                    - Benchmark 3
*Determine unit of        - Students will identify, justify and use the   - Students will be given various objects and be required
measure                    appropriate unit of measure                    to determine which unit of measurement to utilize to
M1A                      (linear, time, weight)                          measure the objects.
- Common Assessment 3.2
- Benchmark 3

- Students will measure selected items with paper clips.
*Use standard and         - Students will use a referent for measures
Students will estimate the length first, and then measure
nonstandard               to make comparisons and estimates
with paper clips. Students then determine the length of
measurement
the object inches using paper clips as a referent.
M2A
- Common Assessment 3.2
- Benchmark 3

*Analysis change          - Students will describe quantitative           - Students will be given small objects and will be
AR4A                      change, such as students growing two            required to measure the length to the nearest centimeter
inches in a year                                and inch and may use a referent to make comparisons
and estimates.
- Common Assessment 3.2
February                                                                             - Benchmark 3

*Describe and use         - Students will compare and analyze 2-          - Students will be assessed by an activity that requires
geometric                 dimensional shapes by describing their          then to identify geometric shapes: cones, cylinders,
relationships            attributes (circle, rectangle, rhombus,         pyramids, cubes, spheres, rectangular prisms, trapezoid,
GSR1A                    trapezoid, triangle)                            rhombus, rectangle, triangle, square, and circle.
- Common Assessment 3.2
- Benchmark 3

*Compose and decompose    - Students will predict the results of          - Students are shown a pattern; they will then have to
shapes                    putting                                         create the same pattern.
GSR1C                    together or taking apart                        - Common Assessment 3.2
2- and 3- dimensional shapes                    - Benchmark 3

*Use transformations on   - Students will determine if two objects        - Students will be provided with an independent practice
objects                   are congruent through a slide, flip or turn     sheet and will determine each congruent shape is a flip,
GSR3A                                                                    slide or turn.
- Common Assessment 3.2
- Benchmark 3
*Use symmetry           - Students will identify lines of symmetry    - Students will be able draw polygons and will determine
GSR3C                   in polygons                                  where there may be a line of symmetry in a given
drawing.
- Common Assessment 3.2
- Benchmark 3

*Apply geometric        - Students will determine the perimeter
- Students will be able to find the perimeter of a polygon
measurements            of polygons
by using a ruler to measure the perimeter of a polygon.
M2C
The teacher will grade the accuracy of the student's
measurement.                                       -
Common Assessment 3.2                                     -
March                                                                         Benchmark 3

Fourth Quarter
*Represent and use      - Students will represent halves, thirds and - Students will be assessed by using an activity that
rational numbers        fourths                                      requires them to identify fractional parts.
NO1B                                                                 - Common Assessment 4.1
- Benchmark 4

- Students will discuss events related to     - Students will be able to discuss and write logical reason
*Develop and evaluate   students' experiences as likely or unlikely   for determining if an event related to the student’s
inferences                                                            experiences is likely or unlikely.
DP3A                                                                  - Common Assessment 4.1
- Benchmark 4
April   *Represent operations   - Students will represent/model a             - Students will be assessed by being required to make
NO2A                   given situation involving multiplication      equal groups of a given problem related to division.
and related division using various models     - Common Assessment 4.2
including sets, arrays, areas, repeated      - Benchmark 4
addition/subtraction, sharing and
partitioning

*Describe and use       - Students will use the commutative,          - Students will be required to convert numbers to
mathematical            distributive and associative properties for   evaluate patterns and relationships to analyze numbers
manipulation           basic facts of whole number                   properties. (ex: 8x4 = __x8 or Write a number sentence
AR2B                                                                 that could give the same answer as 3x5)
- Common Assessment 4.2
- Benchmark 4

May     *Describe and           Students will use strategies to develop       - Students will be assessed by using a performance event
demonstrate fluency     fluency with basic number relationships       that requires them to solve basic division facts and then
NO3B                   (9 X 9) of multiplication and division        tell the steps they followed to solve each problem.
- Common Assessment 4.2
- Benchmark 4

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