ERIC ED469099: Sample Curriculum Model, Grade 2, Based on the 1998 Arkansas State Mathematics Framework.

34 Pages·1998·0.29 MB·English

by  ERIC

DOCUMENT RESUME
ED 469 099
SE 066 845
Sample Curriculum Model, Grade 2, Based on the 1998 Arkansas
TITLE
State Mathematics Framework.
Arkansas State Dept. of Education, Little Rock.
INSTITUTION
1998-00-00
PUB DATE
33p.; For Sample Curriculum Models, Grades K-8, see SE 066
NOTE
843-851.
AVAILABLE FROM
For full text: http://arkedu.state.ar.us/curriculum/
benchmarks.html.
Guides
Legal/Legislative/Regulatory
PUB TYPE Non-Classroom (055)
Materials (090)
EDRS Price MF01/PCO2 Plus Postage.
EDRS PRICE
*Academic Standards; Algebra; Geometry; *Grade 2; Mathematics
DESCRIPTORS
Curriculum; *Mathematics Instruction; Measurement; Number
Concepts; Numeracy; Patterns in Mathematics; Primary
Education; Probability; *State Curriculum Guides; Statistics
IDENTIFIERS *Arkansas
ABSTRACT
This document consists of a sample curriculum model for grade
2 mathematics based on the 1998 Arkansas State Mathematics Framework. The
document is divided into five sections:
(1) Number Sense, Properties, and
Operations;'(2) Geometry and Spatial Sense;
(3) Measurement;
(4) Data
Analysis, Statistics, and Probability; and (5) Patterns, Algebra, and
Function. Within each section the standards are exemplified and articulated
by benchmarks, suggested assessments, and possible strategies and activities
for teaching the standard. A blackline master checklist is included as an
appendix.
(MM)
Reproductions supplied by EDRS are the best that can be made
from the original document.
.s6
SAMPLE CURRICULUM MODEL
U.S. DEPARTMENT OF EDUCATION
Office of Educational Research and Improvement
EDUCATIONAL RESOURCES INFORMATION
PERMISSION TO REPRODUCE AND
CENTER (ERIC)
DISSEMINATE THIS MATERIAL HAS
his document has been reproduced as
his
BEEN GRANTED BY
eived from the person or organization
r
originating it.
Minor changes have been made to
improve reproduction quality.
Points of view or opinions stated in this
document do not necessarily represent
TO THE EDUCATIONAL RESOURCES
official OERI position or policy.
INFORMATION CENTER (ERIC)
GRADE 2
based on the 1998 Arkansas State Mathematics Framework
Arkansas Department of Education, 1998
2
BLE
I COPY AVAI
Grade Level_2_
NUMBER SENSE, PROPERTIES, AND OPERATIONS
Strategies/Activities
Standard
Assessments
Benchmarks
NPO.1.0
Students draw
NP0.1.1 Students will write
Teacher observation
5LE
.
.
pictures of
Peer and self
numerical symbols
.
related to sets
manipulatives and
evaluation
Demonstrate
write the numerical
Teacher-made tests
which are
number sense
.
symbol for the
(concepts of
represented by
Checklist
.
pictures of
pictures.
counting, grouping,
Statewide tests
.
and place value)
Students are given
Performance
manipulatives.
.
.
pictures of
using
manipulatives.
manipulatives or real-
Students will count
forward to 1000
world objects and
they write the
and will count
numerical symbol for
forward and back
by twos, threes,
each picture.
The class collect
fives, and tens
.
1000 pop tops and
from any given
cashes them in at a
number.
recycling center.
Count the pop tops
Students will
.
taking two, three,
demonstrate the
five, and ten at a
patterning of place
time.
value.
Whole class, as a
.
chorus, count to 1000
by fives and tens.
Participate in
.
counting songs and
rhymes.
Read: Dancing in
.
the Moon: Counting
Rhymes by
Eichenberg, Fritz;
Hippos Go Beserk by
Boynton, Sandra; One
Watermelon Seed by
Lottridge, Celia; The
Button Box by Reid,
Margarette.
NP0.1.2
Students prove
Students will Teacher observation
5LE
.
.
their paper-pencil and
Peer and self
discuss and model
.
(concretely,
mental math answers
evaluation
Develop meaning
for the operations
pictorially, and Teacher-made test
by using manipulatives.
.
by modeling and
Students model
Checklist
symbolically)
.
.
3
the concept of
Appro-
problem situations
discussing a
.
priate response to
multiplication using
variety of problem
involving 2-digit
teacher direct questions
manipulatives. (Ex.
addition with and
situations.
Form four groups with
Improved vocabulary
without carrying
.
three objects in a
and 2-digit
Verbal explanation
.
group and discuss the
subtraction with
Demon-
.
stration
ways of finding how
and without
many objects there
Writing
regrouping.
.
are in all.)
Students discuss,
.
in small groups,
problem situations
using 2-digit addition,
2-digit subtraction,
and simple
multiplication.
Read: Willy and
.
His Wheel Wagon by
Gibbons, Gail
Grade Level_2_
NUMBER SENSE, PROPERTIES, AND OPERATIONS
Strategies/Activities
NP0.1.0
Assessments
Standard
Benchmarks
See NPO.1.1
NP0.1.3
Teacher
Students will apply and
SLE
.
.
Students are given
master counting forward to
observation
.
counting sticks and are
Apply and master
1000 and will apply and
Peer and
.
self
told to display about 10
master counting forward
counting, grouping,
sticks. They are guided
and back by twos, threes,
place value, and
evaluation
estimation.
fives, and tens.
to develop the rounding
Checklist
.
strategies. The
Teacher-
.
students repeat the
made test
Students will apply and
State-
master the patterning of
activity using bundles of
.
ten and round to the
wide test
place value.
Perform-
nearest hundred using
.
Students will estimate to
the strategies developed
once
in the previous exercise.
the nearest tens and
hundreds using rounding
strategies.
See NP0.1.2
NP0.1.4
Students will relate
Appro-
5LE
.
.
priate
Students will make
mathematical terminology
.
flash cards containing
response to
and symbols of operations
Solve problems using
the symbols of
teacher
terminology and
involving addition and
direct
subtraction (add, subtract,
symbols of operations
operations and
(e.g., add, subtract,
+, -, =, sum, addend,
mathematical
questions
terminology. They will
multiply, and divide).
Verbal
subtrahend, minuend,
.
use the flash cards at
difference, and equal) to
explanation
home and with a partner
Teacher
problem situations.
.
at school.
observation
Students will take
Peer and
.
.
self
problem solving
situations and represent
evaluation
them symbolically and
Anecdo-
.
tal record
numerically.
State-
.
wide tests
Teacher-
.
made test
Writing
.
5
Grade Level 2
NUMBER SENSE, PROPERTIES, AND OPERATIONS
Strategies/Activities
NP0.1.0
Assessments
Standard
Benchmarks
Students will check
NP0.1.5
Teacher
Students will demonstrate
SLE
.
.
paper-pencil and mental
competency with addition
observation
calculations to basic
and subtraction facts using
Peer and
bemonstrate
.
self
addition and subtraction
mental math and
competency of
operations (e.g. add,
using calculators.
evaluation
technology.
subtract, multiply, and
Set up a computer
Appro-
.
.
divide) using mental
priate center with appropriate
math and technology.
software for student
response to
Subtract
teacher
(Ex.
use.
direct
with Balancing Bear by
Sunburst or Troll Math
questions
State-
Class Level 2: I Can
.
wide tests
Carry and Borrow)
Teacher-
Play games that
. .
made test
enhance mental math,
Perform-
such as "Around The
.
World"
once
Students will write
Appro-
Students will concretely,
NPO 1.6
SLE
. .
fractions for fraction
priate
pictorially, and symbolically
bars.
demonstrate the concept
response to
Use manipulatives to
of fractions as part of a
Students are given
teacher
demonstrate and
.
direct
color tiles or color
whole using the fractions
compare rational
1/2, 1/3, 1/4, 1/5, 1/6,
cubes or interlink cubes
numbers/fractions
questions
and are told to
1/8, and 1/10.
(e.g., find simple
Verbal
.
represent a specified
parts of a whole).
explanation
(Ex. The
fraction.
Teacher
.
student chooses ten
observation
cubes and holds up one
Peer and
.
and says that the one
self
cube is 1/10 of the ten
evaluation
Teacher-
cubes.)
.
Students are given
made test
.
State-
pictures of pies and
.
they write the
wide tests
corresponding fraction.
Demon-
.
stration
They determine which
pie would offer them
the largest/smallest
piece, thus determining
the largest and smallest
fraction.
6
Grade Level 2
NUMBER SENSE, PROPERTIES, AND OPERATIONS
Strategies/Activities
NP0.1.0
Assessments
Standard Benchmarks
See NP0.1.1,
Teacher
NP0.1.7
Students will communicate
5LE
.
.
NP0.1.2, NP0.1.3,
observation
understanding of number
NP0.1.4, NP0.1.5,
sense, properties, Peer and
Communicate number
.
self NP0.1.6
addition, and subtraction
sense, properties, and
Students compose a
operations through
through journal writing,
evaluation
.
journal writing,
math story using
Anecdo-
creating problems,
.
tal records
creating problems,
correct number sense,
constructing mathematical
constructing
properties, and basic
Verbal
sentences, etc.
.
mathematical
addition and
explanation
subtraction. The story
sentences, etc.
Journal
.
is recorded in their
Appro-
.
journals.
priate
Students are given
response to
.
an addition or
teacher
directed
subtraction problem and
are told to write how
questions
they would find the
Improved
.
answer. They then
vocabulary
State-
orally share with the
.
class their method for
wide tests
Teacher-
solving the problem.
.
This is placed in their
made test
Writing
journals.
.
7
Grade Level_2_
NUMBER SENSE, PROPERTIES, AND OPERATIONS
Strategies/Activities
NP0.2.0
Assessments
Standard
Benchmarks
See NP0.1.0
Students will represent
Teacher
NPO.2.1
5LE
.
.
Students represent
numbers and 2-digit
observation
.
the number of students
addition with and without
Represent numbers
Peer and
.
carrying and 2-digit
in the teacher's class in
self
and operations
(addition, subtraction,
the past years using a
subtraction with and
evaluation
line graph. They
multiplication, and
Appro-
without regrouping in a
.
division) in a variety of
priate
variety of forms using
analyze and compare
forms using
the data using addition
response to
manipulatives, symbols, and
manipulatives, symbols,
teacher and subtraction.
graphs.
and graphs
directed
(pictographs, etc.)
questions
State-
.
wide test
Teacher-
.
made test
Demon-
.
stration
Appro-
See NPO.1.1 and
Students will apply
NPO.2.2
5LE
. .
NP0.1.3
priate
elementary number theory
Students will count
(skip counting, patterns,
response to
Apply elementary
.
by fives and tens to
number theory (skip
teacher
number series, odd and
direct
determine the value of
counting, patterns,
even numbers, ordinal
a hand full of dimes and
number series, odd and
numbers, etc.).
questions
even numbers,
nickels.
Verbal
.
multiples, fractions,
Students will
explanation
.
etc.).
continue the pattern for
Teacher
.
counting quarters to
observation
determine the amount
Peer and
.
self
of money represented
by a handful of play
evaluation
quarters.
Improved
.
Students will
vocabulary
.
identify odd and even
Teacher-
.
made test
numbers on a hundred
State-
chart by circling the
.
wide test
odd numbers and putting
Perform-
a square around the
.
even numbers.
once
Students identify
.
their place in line by
saying first, second,
third, etc.
Bicycle Race
Read:
.
by Crews, Donald;
Harriet Goes to the
Circus by Maestro,
Betsy; I Can Count the
Petals of a Flower by
Wahl, John, and Stacy
Wahl
Grade Level 2
NUMBER SENSE, PROPERTIES, AND OPERATIONS
Strategies/ Activities
NP0.2.0
Assessments
Standard
Benchmarks
See NPO.1.2
Teacher
Students will apply
NPO.2.3
SLE
.
.
Students estimate
addition, subtraction
observation
.
how many people would
(variety of meanings), and
Peer and
Apply computation
.
be in a room if two or
estimation to real-world self
(add, subtract,
three specific
multiply, and divide)
evaluation
problems.
and estimation to real-
Anecdo- classrooms are
.
combined. They check
tal records
world problems.
State-
their answer by
.
wide test
addition.
Teacher-
Students guess the
.
.
number of items in a
made test
guessing jar. The
Writing
.
winner gets the items in
the jar.
See NP0.1.2,
Teacher
Students will use mental
NPO.2.4
5LE
.
.
NP0.1.5, NP0.2.1
observation
math, manipulatives, and
Students are asked
technology to solve 2-digit
Peer and
Use mental math,
.
.
to solve a number of 2-
self
addition problems (with and
manipulatives, and
digit addition and 2-
without carrying) and 2-
technology to solve
evaluation
digit subtraction
Teacher-
digit subtraction (with a
problems.
.
problems either mentally
made test
variety of meanings)
State-
or with manipulatives.
problems (with and without
.
wide test They check their
regrouping).
Project
answers using a
.
calculator.
1 0