The student demonstrates fluency with basic
and important skills by using these skills accurately and automatically,
and demonstrates practical competence and persistence with other
skills by using them effectively to accomplish a task, perhaps referring
to notes, books, or other students, perhaps working to reconstruct
a method; that is, the student:

a
Adds, subtracts, multiplies, and divides whole numbers correctly;
that is: 
• 
knows single digit addition, subtraction, multiplication,
and division facts; 
• 
adds and subtracts numbers with several digits; 
• 
multiplies and divides numbers with one or two digits; 
•

multiplies and divides three digit numbers by one digit numbers.

b
Estimates numerically and spatially.

c
Measures length, area, perimeter, circumference,
diameter, height, weight, and volume accurately in both the customary
and metric systems.

d
Computes time (in hours and minutes) and money (in dollars and cents).

e
Refers to geometric shapes and terms correctly with concrete objects
or drawings, including triangle, square, rectangle, side, edge, face,
cube, point, line, perimeter, area, and circle; and refers with assistance
to rhombus, parallelogram, quadrilateral, polygon, polyhedron, angle,
vertex, volume, diameter, circumference, sphere, prism, and pyramid.

f
Uses +, , x, ÷, /, ,
$, ¢, %, and . (decimal point) correctly in number sentences
and expressions.

g
Reads, creates, and represents data on line plots, charts, tables,
diagrams, bar graphs, simple circle graphs, and coordinate graphs.

h
Uses recall, mental computations, pencil and paper, measuring devices,
mathematics texts, manipulatives, calculators, computers, and advice
from peers, as appropriate, to achieve solutions; that is, uses measuring
devices, graded appropriately for given situations, such as rulers
(customary to the 1¼8 inch; metric to the millimeter), graph
paper (customary to the inch or halfinch; metric to the centimeter),
measuring cups (customary to the ounce; metric to the milliliter),
and scales (customary to the pound or ounce; metric to the kilogram
or gram). 
The student demonstrates fluency with basic
and important skills by using these skills accurately and automatically,
and demonstrates practical competence and persistence with other
skills by using them effectively to accomplish a task (perhaps referring
to notes, or books, perhaps working to reconstruct a method); that
is, the student:

a
Computes accurately with arithmetic operations
on rational numbers.

b
Knows and uses the correct order of
operations for arithmetic computations.

c
Estimates numerically and spatially.

d
Measures length, area, volume, weight,
time, and temperature accurately.

e
Refers to geometric shapes and terms
correctly.

f
Uses equations, formulas, and simple
algebraic notation appropriately.

g
Reads and organizes data on charts and
graphs, including scatter plots, bar, line, and circle graphs, and
Venn diagrams; calculates mean and median.

h
Uses recall, mental computations, pencil
and paper, measuring devices, mathematics texts, manipulatives, calculators,
computers, and advice from peers, as appropriate, to achieve solutions.

The student demonstrates fluency with basic
and important skills by using these skills accurately and automatically,
and demonstrates practical competence and persistence with other
skills by using them effectively to accomplish a task, perhaps referring
to notes, or books, perhaps working to reconstruct a method; that
is, the student:

a
Carries out numerical calculations and
symbol manipulations effectively, using mental computations, pencil
and paper, or other technological aids, as appropriate.

b
Uses a variety of methods to estimate
the values, in appropriate units, of quantities met in applications,
and rounds numbers used in applications to an appropriate degree of
accuracy.

c
Evaluates and analyzes formulas and
functions of many kinds, using both pencil and paper and more advanced
technology.

d
Uses basic geometric terminology accurately,
and deduces information about basic geometric figures in solving problems.

e
Makes and uses rough sketches, schematic
diagrams, or precise scale diagrams to enhance a solution.

f
Uses the number line and Cartesian coordinates
in the plane and in space.

g
Creates and interprets graphs of many
kinds, such as function graphs, circle graphs, scatter plots, regression
lines, and histograms.

h
Sets up and solves equations symbolically
(when possible) and graphically.

i
Knows how to use algorithms in mathematics,
such as the Euclidean Algorithm.

j
Uses technology to create graphs or
spreadsheets that contribute to the understanding of a problem.

k
Writes a simple computer program to
carry out a computation or simulation to be repeated many times.

l
Uses tools such as rulers, tapes, compasses,
and protractors in solving problems.

m
Knows standard methods to solve basic
problems and uses these methods in approaching more complex problems.

