|
STANDARD
1:
Students
develop number sense and use numbers and
number
relationships in problem-solving situations and
communicate
the reasoning used in solving these problems.
GRADES
K-4
In
grades K-4, what students know and are able to do includes
•
demonstrating meanings for whole numbers, and commonly-used fractions
and decimals, and representing equivalent forms of the same number
through
the
use of physical models, drawings, calculators, and computers;
•
reading and writing whole numbers and knowing place-value concepts and
numeration through
their
relationships to counting, ordering, and grouping;
•
using numbers to count, to measure, to label, and to indicate location;
•
developing, testing, and explaining conjectures* about properties of
whole numbers, and
commonly-used
fractions and decimals; and
•
using number sense to estimate and justify the reasonableness of
solutions to problems
involving
whole numbers, and commonly-used fractions and decimals.
STANDARD
2:
Students
use algebraic methods to explore, model, and
describe
patterns and functions involving numbers,
shapes,
data, and graphs in problem-solving situations
and
communicate the reasoning used in solving these problems.
GRADES
K-4
In
grades K-4, what students know and are able to do includes
•
reproducing, extending, creating, and describing patterns and sequences
using a variety of
materials;
•
describing patterns and other relationships using tables, graphs, and
open sentences*;
•
recognizing when a pattern exists and using that information to solve a
problem; and
•
observing and explaining how a change in one quantity can produce a
change in another.
STANDARD
3:
Students
use data collection and analysis, statistics, and
probability
in problem-solving situations and
communicate
the reasoning used in solving these problems.
GRADES
K-4
In
grades K-4, what students know and are able to do includes
•
constructing, reading, and interpreting displays of data including
tables, charts, pictographs,
and
bar graphs;
•
interpreting data using the concepts of largest, smallest, most often,
and middle;
•
generating, analyzing, and making predictions based on data obtained
from surveys and chance
devices;
and
•
solving problems using various strategies for making combinations.
STANDARD
4:
Students
use geometric concepts, properties, and
relationships
in problem-solving situations and
communicate
the reasoning used in solving these problems.
GRADES
K-4
In
grades K-4, what students know and are able to do includes
•
recognizing shapes and their relationships
•
identifying, describing, drawing, comparing, classifying, and building
physical models of
geometric
figures;
•
relating geometric ideas to measurement and number sense;
•
solving problems using geometric relationships and spatial reasoning;
and
•
recognizing geometry in their world.
STANDARD
5:
Students
use a variety of tools and techniques to
measure,
apply the results in problem-solving
situations,
and communicate the reasoning used in
solving
these problems.
GRADES
K-4
In
grades K-4, what students know and are able to do includes
•
knowing, using, describing, and estimating measures of length,
perimeter, capacity, weight,
time,
and temperature;
•
comparing and ordering objects according to measurable attributes;
•
demonstrating the process of measuring and explaining the concepts
related to units of
measurement;
•
using the approximate measures of familiar objects to develop a sense of
measurement; and
•
selecting and using appropriate standard and non-standard units of
measurement in
problem-solving
situations.
STANDARD
6:
Students
link concepts and procedures as they develop
and
use computational techniques, including estimation,
mental
arithmetic, paper-and-pencil, calculators, and
computers,
in problem-solving situations and
communicate
the reasoning used in solving these problems.
GRADES
K-4
In
grades K-4, what students know and are able to do includes
•
demonstrating conceptual meanings for the four basic arithmetic
operations of addition,
subtraction,
multiplication, and division;
•
adding and subtracting commonly-used fractions and decimals using
physical models;
•
demonstrating understanding of and proficiency with basic addition,
subtraction,
multiplication,
and division facts without the use of a calculator;
•
constructing, using, and explaining procedures to compute and estimate
with whole numbers;
and
•
selecting and using appropriate methods for computing with whole numbers
in
problem-solving
situations from among mental arithmetic, estimation, paper-and-pencil,
calculator,
and computer methods.
|