Mathematics Grades 6-8 Benchmark Clarification and Content Limits

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Mathematics Grade 6 Quarter 1 Tested Benchmark Clarification and Content Limits Benchmark Benchmark Clarification Content Limits MA.A.1.3.2 The student understands the relative size of integers, Students will identify, order, Items may compare and order fractions, decimals, and common fractions, and decimals; numbers expressed as percents; numbers with and/or compare the relative size percents. exponents; numbers in scientific notation; radicals; absolute value; and of numbers. Items may compare smaller or larger numbers, or compare the order ratios. of magnitude between numbers. An item may utilize one format or a variety of formats, such as fractions, decimals, and percents. MA.A.1.3.4 The student understands that numbers can be represented in Students will express numbers Items may include the relationships among fractions, decimals, or a variety of equivalent forms, including integers, fractions, decimals, in equivalent forms. numbers expressed as percents. percents, scientific notation, exponents, radicals, and absolute value. The place values of the fractional part of decimal numbers should Also assesses MA.A.1.3.1 The student associates verbal names, written range from tenths through ten-thousandths. word names, and standard numerals with integers, fractions, decimals; In items that assess the relationships among fractions, decimals, or numbers expressed as percents; numbers with exponents; numbers in numbers expressed as percents, a ...

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Mathematics

Grade 6 Quarter 1

Tested Benchmark Clarification and Content Limits

Benchmark

Benchmark Clarification

Content Limits

MA.A.1.3.2

The student understands the relative size of integers,

fractions, and decimals; numbers expressed as percents; numbers with

exponents; numbers in scientific notation; radicals; absolute value; and

ratios.

Students will identify, order,

and/or compare the relative size

of numbers.

Items may compare and order fractions, decimals, and common

percents.

Items may compare smaller or larger numbers, or compare the order

of magnitude between numbers.

An item may utilize one format or a variety of formats, such as

fractions, decimals, and percents.

MA.A.1.3.4

The student understands that numbers can be represented in

a variety of equivalent forms, including integers, fractions, decimals,

percents, scientific notation, exponents, radicals, and absolute value.

Also assesses

MA.A.1.3.1

The student associates verbal names, written

word names, and standard numerals with integers, fractions, decimals;

numbers expressed as percents; numbers with exponents; numbers in

scientific notation; radicals; absolute value; and ratios.

Also assesses

MA.A.1.3.3

The student understands concrete and

symbolic representations of rational numbers and irrational numbers in

real-world situations.

Students will express numbers

in equivalent forms.

Items may include the relationships among fractions, decimals, or

numbers expressed as percents.

The place values of the fractional part of decimal numbers should

range from tenths through ten-thousandths.

In items that assess the relationships among fractions, decimals, or

numbers expressed as percents, a real-world context should be used.

Items may contain multiple forms of a given value.

Items will not include repeating decimals.

MA.A.2.3.1

The student understands and uses exponential and scientific

notation.

Students will represent or solve

problems, using numbers in

exponential notation.

Items will assess exponents no greater than 3.

Some items should include word names as well as numerals.

MA.A.3.3.1

The student understands and explains the effects of

addition, subtraction, multiplication, and division on whole numbers,

fractions, including mixed numbers, and decimals, including the inverse

relationships of positive and negative numbers.

Students will recognize the

appropriate operation for a

stated effect, the effects of

operations, and/or the

relationships between

operations.

Items will assess the effects of the four basic operations on whole

numbers, fractions, mixed numbers, and decimals, and the use of

properties of real numbers (commutative, associative, and

distributive properties and inverse operations) to solve problems.

Items will not include whole numbers with more than two digits,

positive fractions with more than single-digit numerators and

denominators, and/or decimals greater than hundredths.

Items should not involve division by a fraction.

Items should not assess abstract constructs.

MA.A.3.3.2

The student selects the appropriate operation to solve

problems involving addition, subtraction, multiplication, and division of

rational numbers, ratios, proportions, and percents, including the

appropriate application of the algebraic order of operations.

Students will simplify

mathematical expressions using

the correct order of operations

or identify the correct order of

operations.

Expressions may include parentheses, multiplication, division,

addition, and subtraction.

Items should use whole numbers with no more than two digits and

exponents no larger than three.

MA.A.3.3.3

The student adds, subtracts, multiplies, and divides whole

numbers, decimals, and fractions, including mixed numbers, to solve

real-world problems, using appropriate methods of computing, such as

mental mathematics, paper and pencil, and calculator.

Students will solve a single- or

multi-step problem using

appropriate computations and

rounding strategies where

appropriate.

Items should involve only whole numbers and decimal numbers.

MA.A.4.3.1

The student uses estimation strategies to predict results and

to check the reasonableness of results.

Also assesses

MA.A.4.2.1

The student uses and justifies different

Students will determine

estimates and/or their

appropriateness.

The data presented to students may be either precise values, a range

of values, or a combination of precise values and estimates of other

values.

SLC Scope & Sequence Companion

May 2006

Mathematics

Grade 6 Quarter 1

Tested Benchmark Clarification and Content Limits

Benchmark

Benchmark Clarification

Content Limits

estimation strategies in a real-world problem situation and determines

the reasonableness of results of calculations in a given problem

situation.

Also assesses

MA.B.2.3.1

The student uses direct (measured) and

indirect (not measured) measures to compare a given characteristic in

either metric or customary units.

Also assesses

MA.B.3.3.1

The student solves real-world and

mathematical problems involving estimates of measurements including

length, time, weight/mass, temperature, money, perimeter, area, and

volume, in either customary or metric units.

Items should be limited to use of whole numbers only.

MA.D.1.3.1

The student describes a wide variety of patterns,

relationships, and functions through models, such as manipulatives,

tables, graphs, expressions, equations, and inequalities.

Also assesses

MA.A.5.3.1

The student uses concepts about numbers,

including primes, factors, and multiples, to build number sequences.

Students will recognize,

analyze, and/or apply patterns,

sequences, relationships, and

functions in a variety of

settings.

Items will assess numerical and graphic patterns.

Items should not use more than two variables or include more than

two operations.

Items involving function tables should be able to be solved using a

pattern in the dependent variable values or a pattern in the

relationship between the independent and dependent variable

values.

Items are limited to non-negative values.

MA.D.1.3.2

The student creates and interprets tables, graphs, equations,

and verbal descriptions to explain cause-and-effect relationships.

Also assesses

MA.A.5.3.1

The student uses concepts about numbers,

including primes, factors, and multiples, to build number sequences.

Students recognize, create,

and/or evaluate a rule,

expression, and/or solve an

equation for cause-and-effect

relationships.

Items involving graphing functions should be from the first

quadrant and limited to plotting points with whole number

coordinates.

Items can rely on tables or graphs to present and/or interpret cause-

and-effect relationships.

MA.D.2.3.1

The student represents and solves real-world problems

graphically, with algebraic expressions, equations, and inequalities.

Also assesses

MA.A.1.3.3

The student understands concrete and

symbolic representations of rational numbers and irrational numbers in

real-world situations.

Students will recognize

representations of or solutions

for real-world problems

presented in words, graphically,

as equations, inequalities,

and/or expressions.

Items involving graphing of functions should be from the first

quadrant and limited to plotting points with whole number

coordinates.

Items may include only one variable and no more than two

operations.

Values in expressions should be rational numbers.

SLC Scope & Sequence Companion

May 2006

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