# Mathematics Performance Descriptors for Grades 3,5 and 7

**Alabama Performance Descriptors
Mathematics
Grade 3**

**Level IV (Exceeds Standards)
**

Third-grade students performing at Level IV demonstrate a thorough knowledge of

number sense by comparing , ordering, and expanding whole numbers through 9999.

These students consistently solve word problems that involve addition, subtraction ,

multiplication, and division of whole numbers involving two- and three-digit numbers

with and without regrouping; multiply whole numbers with and without regrouping using

single-digit multipliers; divide whole numbers using two-digit dividends and one-digit

divisors; model equivalent fractions with concrete objects or pictorial representations;

and use coins to make change up to $1.00. Students performing at Level IV complete

numeric or geometric patterns and identify points, lines, perpendicular lines , parallel

lines, angles, and rays. They measure length in metric units and determine time to the day

with a calendar and to the hour with a clock. Fourth-grade students at Level IV recognize

data as either categorical or numerical and can determine the likelihood of different

outcomes.

**Level III (Meets Standards)**

Third-grade students performing at Level III demonstrate a fundamental knowledge of

number sense by comparing, ordering, and expanding whole numbers through 9999.

These students often solve word problems that involve addition, subtraction,

multiplication, and division of whole numbers involving two-and three-digit numbers

with and without regrouping; multiply whole numbers with and without regrouping using

single-digit multipliers; divide whole numbers using two-digit dividends and one-digit

divisors; model equivalent fractions with concrete objects or pictorial representations;

and use coins to make change up to $1.00. Students performing at Level III frequently

complete numeric or geometric patterns and identify points, lines, perpendicular lines,

parallel lines, angles, and rays. They measure length in metric units and determine time to

the day with a calendar and to the hour with a clock. Fourth-grade students at Level III

recognize data as either categorical or numerical and can determine the likelihood of

different outcomes in a simple experiment .

**Level II (Partially Meets Standards)**

Third-grade students performing at Level II demonstrate a limited knowledge of number

sense by comparing, ordering, and expanding whole numbers. These students sometimes

solve word problems, multiply whole numbers, divide whole numbers; and use coins to

make change. Students performing at Level II may complete some numeric or geometric

patterns and may identify points and lines. They sometimes measure length and

determine time. Fourth-grade students at Level II inconsistently recognize data as either

categorical or numerical and can sometimes determine the likelihood of different

outcomes in a simple experiment.

Level I (Does not Meet Standards)

Level I (Does not Meet Standards)

Third-grade students performing at Level I demonstrate little or no ability to use the

mathematics skills and abilities required in Level II.

**Alabama Performance Descriptors
Mathematics
Grade 5**

**Level IV (Exceeds Standards)**

Fifth-grade students performing at Level IV demonstrate thorough computational

accuracy and fluency when comparing, ordering, rounding, and expanding whole

numbers through millions and decimals to thousandths . These students solve problems

involving basic operations on whole numbers and word problems that involve decimals,

fractions, or money. They consistently determine the sum and difference of fractions with

common and uncommon denominators and can identify numbers less than zero by

extending the number line. They demonstrate the commutative, associative, and identity

properties of addition and multiplication of whole numbers. They can write a number

sentence for a problem expressed in words. Level IV students consistently identify

regular polygons and congruent polygons; identify components of the Cartesian plane,

including the x-axis, y-axis, origin, and quadrants; and identify the center, radius, and

diameter of a circle. Students at Level IV estimate perimeter and area of irregular shapes

using unit squares and grid paper, calculate the perimeter of rectangles, and convert

larger units of measurement to smaller units of measurement within either customary or

metric units. Students performing at Level IV consistently analyze data collected from a

survey or experiment and use common fractions to represent the probability of events that

are neither certain nor impossible.

**Level III (Meets Standards)**

Fifth-grade students performing at Level III demonstrate fundamental computational

accuracy and fluency when comparing, ordering, rounding, and expanding whole

numbers through millions and decimals to thousandths. These students solve problems

involving basic operations on whole numbers and word problems that involve decimals,

fractions, or money. They often can determine the sum and difference of fractions with

common and uncommon denominators and can identify numbers less than zero by

extending the number line. They often demonstrate the commutative, associative, and

identity properties of addition and multiplication of whole numbers. They can write a

number sentence for a problem expressed in words. Level III students frequently identify

regular polygons and congruent polygons; components of the Cartesian plane; and

identify the center, radius, and diameter of a circle. Students at Level III estimate

perimeter and area of irregular shapes using unit squares and grid paper, calculate the

perimeter of rectangles, and convert larger units of measurement to smaller units of

measurement. Students performing at Level III analyze data collected from a survey or

experiment and use common fractions to represent the probability of events that are

neither certain nor impossible.

**Level II (Partially Meets Standards)**

Fifth-grade students performing at Level II demonstrate limited computational accuracy

and fluency when comparing, ordering, rounding, and expanding whole numbers. These

students sometimes solve problems involving basic operations on whole numbers,

decimals, fractions, or money. They may determine the sum and difference of fractions

with common denominators. They demonstrate the commutative and identity properties

of addition and multiplication of whole numbers, identify regular polygons and congruent

polygons, and identify the center and diameter of a circle. Students at Level II sometimes

calculate the perimeter of rectangles, and convert larger units of measurement to smaller

units of measurement. Students performing at Level II analyze data collected from a

simple survey or experiment and sometimes use common fractions to represent the

probability of events.

**Level I (Does not Meet Standards)**

Fifth-grade students performing at Level I demonstrate little or no ability to use the

mathematics skills and abilities required in Level II.

**Alabama Performance Descriptors
Mathematics
Grade 7**

**Level IV (Exceeds Standards)**

Seventh-grade students performing at Level IV demonstrate thorough computational

fluency with addition, subtraction, and multiplication of integers; using order of

operations to evaluate numerical expressions; solving problems requiring the use of

operations on rational numbers; expressing a pattern shown in a table, graph, or chart as

an algebraic equation ; translating verbal phrases into algebraic expressions and algebraic

expressions into verbal phrases; and solving one- and two-step equations. These students

are consistently able to determine the transformations used to alter the position of a

polygon on the coordinate plane and recognize geometric relationships among two-

dimensional and three-dimensional objects. They routinely solve problems involving

circumference and area of circles and find the perimeter of polygons and the area of

triangles and trapezoids. Level IV students solve problems involving ratios or rates using

proportional reasoning, determine measures of central tendency and the range using a

given set of data or graphs, and determine the probability of a compound event.

**Level III (Meets Standards)**

Seventh-grade students performing at Level IIII demonstrate fundamental computational

fluency with addition, subtraction, and multiplication of integers; using order of

operations to evaluate numerical expressions; solving problems requiring the use of

operations on rational numbers; expressing a pattern shown in a table, graph, or chart as

an algebraic equation; translating verbal phrases into algebraic expressions and algebraic

expressions into verbal phrases; and solving one- and two-step equations. These students

often determine the transformations used to alter the position of a polygon on the

coordinate plane and recognize geometric relationships among two-dimensional and

three-dimensional objects. They can solve problems involving circumference and area of

circles; find the perimeter of polygons and the area of triangles and trapezoids. Level III

students solve problems involving ratios or rates using proportional reasoning, determine

measures of central tendency and the range using a given set of data or graphs, and

determine the probability of a compound event.

Level II (Partially Meets Standards)

Level II (Partially Meets Standards)

Seventh-grade students performing at Level II demonstrate limited computational fluency

with addition, subtraction, and multiplication of integers and using order of operations to

evaluate numerical expressions. These students sometimes determine the transformations

used to alter the position of a polygon on the coordinate plane and recognize geometric

relationships among two-dimensional and three-dimensional objects. They occasionally

solve problems involving circumference and area of circles and find the perimeter of

polygons and the area of triangles. Level II students sometimes solve problems involving

ratios or rates using proportional reasoning. They can determine mean and range given

data or a graph.

Level I (Does not Meet Standards)

Level I (Does not Meet Standards)

Seventh-grade students performing at Level I demonstrate little or no ability to use the

mathematics skills and abilities required in Level II.

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