MATHEMATICS
Grade 4 Standards Met
by Nature
Net Sites
A.
MATHEMATICAL PROCESSES
A.4.1
Use reasoning abilities to
• perceive
patterns
• identify
relationships
• formulate
questions for further exploration
• justify
strategies
• test
reasonableness of results
[ALNC; BHNC+; CM*+; ICF+; JSF; MKE*;
OBG*; OWP; UWA+]
A.4.2
Communicate mathematical ideas in a variety of ways, including words,
numbers, symbols, pictures, charts, graphs, tables, diagrams, and models*
[ALNC*+; BHNC+; CM*; ICF+; JSF;
MKE*; OBG+; OWP; UWA*]
A.4.3
Connect mathematical learning with other subjects, personal experiences,
current events, and personal interests
• see
relationships between various kinds of problems and actual events
• use
mathematics as a way to understand other areas of the curriculum (e.g.,
measurement in science, map skills in social studies)
[ALNC*+; BHNC+; CM*; ICF+; JSF;
MKE*; OBG*; OWP; UWA*]
A.4.4
Use appropriate mathematical vocabulary, symbols, and notation with
understanding based on prior conceptual work
[ALNC*+; BHNC*; ICF+; MKE*]
A.4.5
Explain solutions to problems clearly and logically in oral and written
work and support solutions with evidence
[ALNC*+; BHNC*; CM*+; ICF+; JSF;
MKE+; OWP]
B.
NUMBER OPERATIONS AND RELATIONSHIPS
B.4.1
Represent and explain whole numbers*, decimals, and fractions with
• physical
materials
• number
lines and other pictorial models*
• verbal
descriptions
• place-value
concepts and notation
• symbolic
renaming (e.g., 43 = 40+3 = 30+13)
[ALNC*; BHNC*; CM*; ICF+; MKE*]
B.4.2
Determine the number of things in a set by
• grouping
and counting (e.g., by threes, fives, hundreds)
• combining
and arranging (e.g., all possible coin combinations amounting to thirty cents)
•
estimation, including rounding
[ALNC*+; BHNC*; CM+; JSF* MKE*;
OWP*; UWA*]
B.4.3
Read, write, and order whole numbers*, simple fractions (e.g., halves,
fourths, tenths, unit fractions*) and commonly-used decimals (monetary units)
[ALNC*; ICF+; MKE*]
B.4.4
Identify and represent equivalent fractions for halves, fourths, eighths,
tenths,
sixteenths
[ICF+; MKE*]
B.4.5
In problem-solving situations involving whole numbers, select and
efficiently use appropriate computational procedures such as
• recalling
the basic facts of addition, subtraction, multiplication, and division
• using
mental math (e.g., 37 + 25, 40 x 7)
• estimation
• selecting
and applying algorithms* for addition, subtraction, multiplication, and division
• using
a calculator
[ALNC*+; BHNC*; CM*+; ICF+; MKE*]
B.4.6
Add and subtract fractions with like denominators
B.4.7
In problem-solving situations involving money, add and subtract decimals
C.4.1
Describe two-and three-dimensional figures (e.g., circles, polygons,
trapezoids, prisms, spheres) by
• naming
them
• comparing,
sorting, and classifying them
• drawing
and constructing physical models to specifications
• identifying
their properties (e.g., number of sides or faces, two- or three-dimensionality,
equal sides, number of right angles)
• predicting
the results of combining or subdividing two-dimensional figures
• explaining
how these figures are related to objects in the environment
[ALNC*+; BHNC*; JSF* MKE*; OBG+;
OWP*; UWA*]
C.4.2
Use physical materials and motion geometry (such as slides, flips, and
turns) to identify properties and relationships, including but not limited to
• symmetry*
• congruence*
• similarity*
[ALNC*+; BHNC*; MKE*; OBG+]
C.4.3
Identify and use relationships among figures, including but not limited
to
•
location (e.g., between, adjacent to, interior of)
• position
(e.g., parallel, perpendicular)
• intersection
(of two-dimensional figures)
[ALNC*+; BHNC*; JSF* MKE*; OBG+;
OWP*]
C.4.4
Use simple two-dimensional coordinate systems to find locations on maps
and to represent points and simple figures
[ALNC; BHNC+; CM+; ICF+; JSF* MKE*;
OBG+; OWP*]
D.4.1
Recognize and describe measurable attributes*, such as length, liquid
capacity, time, weight (mass), temperature, volume, monetary value, and angle
size, and identify the appropriate units to measure them
[ALNC*+; BHNC+; CM*+; ICF+; JSF+
MKE*; OBG+; OWP+; UWA*]
D.4.2
Demonstrate understanding of basic facts, principles, and techniques of
measurement, including
• appropriate
use of arbitrary* and standard units (metric and US Customary)
• appropriate
use and conversion of units within a system (such as yards, feet, and inches;
kilograms and grams; gallons, quarts, pints, and cups)
• judging
the reasonableness of an obtained measurement as it relates to prior experience
and familiar benchmarks
[ALNC*+; BHNC+; JSF* MKE*; OBG+;
OWP*]
D.4.3
Read and interpret measuring instruments (e.g., rulers, clocks,
thermometers)
[ALNC*+; BHNC+; ICF+; JSF+ MKE*;
OBG+; OWP+; UWA*]
D.4.4
Determine measurements directly* by using standard tools to these
suggested degrees of accuracy
• length
to the nearest half-inch or nearest centimeter
• weight
(mass) to the nearest ounce or nearest 5 grams
• temperature
to the nearest 5°
• time
to the nearest minute
• monetary
value to dollars and cents
• liquid
capacity to the nearest fluid ounce
[ALNC*+; BHNC*; ICF+; JSF+ MKE*;
OBG+; OWP+]
D.4.5
Determine measurements by using basic relationships (such as perimeter
and area) and approximate measurements by using estimation techniques
[ALNC*+; BHNC+; MKE*; OBG+]
E.
STATISTICS AND P
ROBABILITY
E.4.1
Work with data in the context of real-world situations by
• formulating
questions that lead to data collection and analysis
• determining
what data to collect and when and how to collect them
• collecting,
organizing, and displaying data
•
drawing reasonable conclusions based on data
[ALNC*+; BHNC; CM*+; ICF+; JSF; MKE*; OBG+; OWP; UWA+]
E.4.2
Describe a set of data using
• high and
low values, and range*
• most
frequent value (mode*)
• middle
value of a set of ordered data (median*)
[ALNC*+; BHNC*; CM+; ICF+; JSF*
MKE*; OBG+; OWP*; UWA+]
E.4.3
In problem-solving situations, read, extract, and use information
presented in graphs, tables, or charts.
[ALNC*+; BHNC+; CM+; ICF+; MKE*; OBG+]
E.4.4
Determine if the occurrence of future events are more, less, or equally
likely, impossible, or certain
[ALNC*+; BHNC+; CM+; ICF+; MKE*;
OBG+; UWA+]
E.4.5
Predict outcomes of future events and test predictions using data from a
variety of sources
[ALNC*+; BHNC*; CM+; ICF+; MKE*;
OBG+; UWA+]
F.
ALGEBRAIC RELATIONSHIPS
F.4.1
Use letters, boxes, or other symbols to stand for any number, measured
quantity, or object in simple situations (e.g., N + 0 = N is true for any
number)
[ALNC*; CM*; MKE*]
F.4.2
Use the vocabulary, symbols, and notation of algebra accurately (e.g.,
correct use of the symbol “=”, effective use of the associative property of
multiplication)
[ALNC*; MKE*]
F.4.3
Work with simple linear patterns and relationships in a variety of ways,
including
• recognizing
and extending number patterns
• describing
them verbally
• representing
them with pictures, tables, charts, graphs
• recognizing
that different models* can represent the same pattern or relationship
• using
them to describe real-world phenomena
[ALNC*; BHNC+; ICF+]
F.4.4
Recognize variability in simple functional* relationships by describing
how a change in one quantity can produce a change in another (e.g., number of
bicycles and the total number of wheels)
[ALNC*+; BHNC*; ICF+]
F.4.5
Use simple equations and inequalities in a variety of ways, including
• using
them to represent problem situations
• solving
them by different methods (e.g., use of manipulatives, guess and check
strategies, recall of number facts)
• recording
and describing solution strategies
[ALNC*; ICF+]
F.4.6
Recognize and use generalized properties and relationships of arithmetic
(e.g., commutativity* of addition, inverse relationship of multiplication and
division)
[ALNC*; ICF+]