AAASM.ORG
 |  |  |  |  |  |  |  |
| WHAT SHOULD YOU KNOW IN MATH ?????? |
3RD GRADE
Mathematics in Third Grade
Mathematics in grade three builds on what the child has already
learned; experience in using math is a process of continuous growth.
Although third graders are introduced to new, more complex forms
of math, the study of mathematics remains more concrete than
abstract -- most numbers stand for something that the children can
see. Children are helped to understand that mathematics is
something logical, not merely a random collection of facts, and that
numbers are linked together by relationships that can be grasped.
Third graders use math in the course of working with science,
cooking, health, social studies, reading, and writing. They are able to
read numbers into the thousands, both as numerals and as words.
The idea of zero will become clearer, and children will use it in their
computations.
Third graders learn the position of 100s and 1,000s; they gain greater
understanding of fractions such as 1/4, 3/4, 1/3, 2/3, and 1/10 and
their relationship to wholes; they estimate more confidently; they
conduct precise measurements in inches, feet, yards, ounces, and
pounds; and they use graphs to represent numerical comparisons.
They add columns of three or four numbers with regrouping, subtract
numbers in the thousands, have good recall of addition and
subtraction through the number 20, begin using division, learn liquid
capacities and measurements, and begin using Fahrenheit and
Celsius scales on a thermometer. Children become increasingly
aware of the patterns of mathematics, including the relationships
among addition, subtraction, and multiplication. They also do more
computations in the form of word or story problems.
Mathematics in Third Grade
Mathematics in grade three builds on what the child has already
learned; experience in using math is a process of continuous growth.
Although third graders are introduced to new, more complex forms
of math, the study of mathematics remains more concrete than
abstract -- most numbers stand for something that the children can
see. Children are helped to understand that mathematics is
something logical, not merely a random collection of facts, and that
numbers are linked together by relationships that can be grasped.
Third graders use math in the course of working with science,
cooking, health, social studies, reading, and writing. They are able to
read numbers into the thousands, both as numerals and as words.
The idea of zero will become clearer, and children will use it in their
computations.
Third graders learn the position of 100s and 1,000s; they gain greater
understanding of fractions such as 1/4, 3/4, 1/3, 2/3, and 1/10 and
their relationship to wholes; they estimate more confidently; they
conduct precise measurements in inches, feet, yards, ounces, and
pounds; and they use graphs to represent numerical comparisons.
They add columns of three or four numbers with regrouping, subtract
numbers in the thousands, have good recall of addition and
subtraction through the number 20, begin using division, learn liquid
capacities and measurements, and begin using Fahrenheit and
Celsius scales on a thermometer. Children become increasingly
aware of the patterns of mathematics, including the relationships
among addition, subtraction, and multiplication. They also do more
computations in the form of word or story problems.
4TH GRADE
Mathematics in Fourth Grade
What kids should learn in Math
In the fourth grade, mathematics
continues to be something that
is used, something children see
as extending far beyond school.
While children are expected to
do basic computational
functions such as adding,
subtracting, dividing, and
multiplying, in the best
classrooms math consists of
much more than worksheets
filled with problems or drills on
number facts. Children:
learn when to add and subtract,
use a calculator, estimate, and
arrange information on a graph.
begin to have an understanding
of probability and how to judge it.
learn how relationships among
numbers, patterns, or events
can be made more
understandable with
mathematical formulations.
establish models for problem
solving.
develop mental models by
teaching children how to
visualize problems and solutions.
develop personal theories by
thinking about different ways to
solve mathematical problems.
What you should expect from
your fourth grader
You should expect to see your
fourth grade child become a
much better estimator than he
or she was before. Further, your
child will be able to see patterns
in numbers more easily -- they
will note in a sequence of 1, 2, 4,
8 that subsequent numbers will
be 16, 32, 64 -- and will have
some beginning understanding
of probabilities: how likely is it
that when flipping a coin, heads
will come out 2 times more than
tails, etc. The child should also
be able to measure things with
precision and to manage
fractions fairly well -- although,
because of their use of
calculators, children are
increasingly familiar with
decimals.
.
The goal of mathematics in the
fourth grade is to help children
maintain a good sense of what
numbers mean and to make
them feel that math is as
commonplace and accessible
as any other subject in school.
Mathematics is not a mystery
that only a select few can
master. It should be -- and in the
best settings it is -- fully
available to all.
Mathematics in Fourth Grade
What kids should learn in Math
In the fourth grade, mathematics
continues to be something that
is used, something children see
as extending far beyond school.
While children are expected to
do basic computational
functions such as adding,
subtracting, dividing, and
multiplying, in the best
classrooms math consists of
much more than worksheets
filled with problems or drills on
number facts. Children:
learn when to add and subtract,
use a calculator, estimate, and
arrange information on a graph.
begin to have an understanding
of probability and how to judge it.
learn how relationships among
numbers, patterns, or events
can be made more
understandable with
mathematical formulations.
establish models for problem
solving.
develop mental models by
teaching children how to
visualize problems and solutions.
develop personal theories by
thinking about different ways to
solve mathematical problems.
What you should expect from
your fourth grader
You should expect to see your
fourth grade child become a
much better estimator than he
or she was before. Further, your
child will be able to see patterns
in numbers more easily -- they
will note in a sequence of 1, 2, 4,
8 that subsequent numbers will
be 16, 32, 64 -- and will have
some beginning understanding
of probabilities: how likely is it
that when flipping a coin, heads
will come out 2 times more than
tails, etc. The child should also
be able to measure things with
precision and to manage
fractions fairly well -- although,
because of their use of
calculators, children are
increasingly familiar with
decimals.
.
The goal of mathematics in the
fourth grade is to help children
maintain a good sense of what
numbers mean and to make
them feel that math is as
commonplace and accessible
as any other subject in school.
Mathematics is not a mystery
that only a select few can
master. It should be -- and in the
best settings it is -- fully
available to all.
5TH GRADE
Mathematics in the Fifth Grade
What kids should learn in Math
In the fifth grade, mathematics continues to be something
that is used, something children see as extending far
beyond school. While children are expected to do basic
computational functions such as adding, subtracting,
dividing, and multiplying, in the best classrooms math
consists of much more than worksheets filled with
problems or drills on number facts. Children:
understand when to add and subtract, to use a calculator,
to estimate, and to arrange information on a graph;
begin to have an understanding of probability and how to
judge it;
learn to see how relationships among numbers, patterns,
or events can be made more understandable with
mathematical formulations;
establish models for problem solving.
Much of this learning is embedded in the computer
programs that your child uses at school.
Teachers spend a good deal of time helping the children
develop mental models -- that is, teaching the children
how to visualize problems and solutions. They will also
ask the children to develop personal theories by thinking
about different ways to solve mathematical problems.
Because math cannot be completely understood at this
age, when it stands apart from all other subjects, math
will continue to be used in social studies, science, and
language arts work.
What you should expect from your fifth grader
You should expect to see your fifth grade child become a
much better estimator than he or she was before. Further,
your child will be able to see patterns in numbers more
easily -- for example, he or she will recognize that if a
sequence of numbers begins with 1, 2, 4,8 the subsequent
numbers will lie 16, 32, 64. Your child will also begin to
understand probability -- that is, he or she will have a
sense of how likely it is that a flipped coin will show heads
twice as often as tails.
A fifth grade child should also be able to measure things
with precision and to manage fractions fairly well --
although, because of their use of calculators, children are
increasingly familiar with decimals. Children are also
encouraged to think out ways to solve problems. The
emphasis is less on finding the correct answer than on
showing that there are multiple ways of approaching the
problem.
Mathematics in the Fifth Grade
What kids should learn in Math
In the fifth grade, mathematics continues to be something
that is used, something children see as extending far
beyond school. While children are expected to do basic
computational functions such as adding, subtracting,
dividing, and multiplying, in the best classrooms math
consists of much more than worksheets filled with
problems or drills on number facts. Children:
understand when to add and subtract, to use a calculator,
to estimate, and to arrange information on a graph;
begin to have an understanding of probability and how to
judge it;
learn to see how relationships among numbers, patterns,
or events can be made more understandable with
mathematical formulations;
establish models for problem solving.
Much of this learning is embedded in the computer
programs that your child uses at school.
Teachers spend a good deal of time helping the children
develop mental models -- that is, teaching the children
how to visualize problems and solutions. They will also
ask the children to develop personal theories by thinking
about different ways to solve mathematical problems.
Because math cannot be completely understood at this
age, when it stands apart from all other subjects, math
will continue to be used in social studies, science, and
language arts work.
What you should expect from your fifth grader
You should expect to see your fifth grade child become a
much better estimator than he or she was before. Further,
your child will be able to see patterns in numbers more
easily -- for example, he or she will recognize that if a
sequence of numbers begins with 1, 2, 4,8 the subsequent
numbers will lie 16, 32, 64. Your child will also begin to
understand probability -- that is, he or she will have a
sense of how likely it is that a flipped coin will show heads
twice as often as tails.
A fifth grade child should also be able to measure things
with precision and to manage fractions fairly well --
although, because of their use of calculators, children are
increasingly familiar with decimals. Children are also
encouraged to think out ways to solve problems. The
emphasis is less on finding the correct answer than on
showing that there are multiple ways of approaching the
problem.
6th GRADE
Mathematics in Sixth Grade
In the sixth grade, mathematics continues to be something that is used, something children see as extending far beyond school;
unless this is the case, math loses its power to engage the children's interest. While teachers expect children to be reasonably
adept with computational skills such as multiplication and division, they are more concerned with whether children understand
when to add and subtract, to use a calculator, to estimate, and to arrange information on a graph. Sixth grade students typically
begin to have an understanding of probability, are able to note relationships among numbers, patterns, or events, and are
comfortable with various models for problem solving.
Teachers spend a good deal of time helping the children develop mental models -- that is, teaching the children how to visualize
problems and solutions. They will also continue to ask the children to develop personal theories by thinking about different ways to
solve mathematical problems. Because children of this age cannot fully understand math if it stands on its own, apart from all other
subjects, math will continue to be used in social studies, science, and language arts work. Teachers will provide children with many
different problem-solving strategies. You will probably not see a great difference between the math your child studied in the fifth
grade and the math he or she studies in the sixth grade. But you will notice more elements of geometry (especially in the study of
shapes) and of algebra (in problems such as 3x + 6 = 15).
Mathematics in Sixth Grade
In the sixth grade, mathematics continues to be something that is used, something children see as extending far beyond school;
unless this is the case, math loses its power to engage the children's interest. While teachers expect children to be reasonably
adept with computational skills such as multiplication and division, they are more concerned with whether children understand
when to add and subtract, to use a calculator, to estimate, and to arrange information on a graph. Sixth grade students typically
begin to have an understanding of probability, are able to note relationships among numbers, patterns, or events, and are
comfortable with various models for problem solving.
Teachers spend a good deal of time helping the children develop mental models -- that is, teaching the children how to visualize
problems and solutions. They will also continue to ask the children to develop personal theories by thinking about different ways to
solve mathematical problems. Because children of this age cannot fully understand math if it stands on its own, apart from all other
subjects, math will continue to be used in social studies, science, and language arts work. Teachers will provide children with many
different problem-solving strategies. You will probably not see a great difference between the math your child studied in the fifth
grade and the math he or she studies in the sixth grade. But you will notice more elements of geometry (especially in the study of
shapes) and of algebra (in problems such as 3x + 6 = 15).
Math Skill-Builders for
Grades 7-8
High school preparation is
the name of the game in
seventh and eighth grades.
Solid fundamentals are the
key to success as your child
embarks upon lessons in
algebra, geometry, and more.
Grades 7-8
High school preparation is
the name of the game in
seventh and eighth grades.
Solid fundamentals are the
key to success as your child
embarks upon lessons in
algebra, geometry, and more.