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STANDARDS ACROSS THE GRADE LEVELS (6 STANDARDS ACROSS THE GRADE LEVELS (6
TH
, 7
TH
, 8
TH
)
1
Revised September 2006

A. Numbers and Operations
Grade 6
Grade 7
Grade 8
Grade 11

1. Represent common percents as
fractions and/or decimals (e.g., 25% = ¼ =
.25); common percents are 1%, 10%, 25%,
50%, 75%, 100%.


2. Convert between fractions and decimals
and/or differentiate between a terminating
decimal and a repeating decimal.







3. Model percents (through 100%) using
drawings, graphs and/or sets (e.g. circle
graph, base ten blocks, etc.).





4. Represent a number in exponential form
(e.g., 10x10x10=10
3
).








1. Convert between fractions, decimals
and/or percents (e.g., 20% = 0.2 = 1/5)
(terminating decimals only).







2. Solve problems involving percents (e.g.,
tax, discounts, etc.). Do not include percent
increase or decrease.



































1. Represent numbers using scientific
notation and/or exponential forms.































M11.A.1.1.2 Express
numbers and/or
simplify expressions
using scientific
notation (including
numbers less than 1).

STANDARDS ACROSS THE GRADE LEVELS (6
TH
, 7
TH
, 8
TH
)
2
Revised September 2006

A. Numbers and Operations
Grade 6
Grade 7
Grade 8
Grade 11



































2. Find the square or cube of a whole
number (single digit) and/or the square root
of a perfect square (without a calculator).



M11.A.1.1.1 Find the
square root of an
integer to the nearest
tenth using either a
calculator or
estimation.

M11.A.1.1.3 Simplify
square roots (e.g., 24
= 26).



























STANDARDS ACROSS THE GRADE LEVELS (6
TH
, 7
TH
, 8
TH
)
3
Revised September 2006

A. Numbers and Operations
Grade 6
Grade 7
Grade 8
Grade 11

5. Compare and/or order whole numbers,
mixed numbers, fractions and/or decimals
(do not mix fractions and decimals
decimals through thousandths).


6. Represent a mixed number as an
improper fraction.














3. Compare and/or order whole numbers,
mixed numbers, fractions and decimals
(fractions and decimals may be mixed no
more than 5 numbers in a set to be
ordered).




4. Compare and/or order integers (no more
than five numbers in a set to be ordered).

5. Locate/identify decimals, fractions,
mixed numbers and/or integers on a
number line (a mix of these number forms
may be on the same number line).






























.

















M11.A.1.3.2 Compare
and/or order any real
numbers (rational and
irrational may be
mixed).









M11.A.1.3.1
Locate/identify
irrational numbers at
the approximate
location on a number
line.
STANDARDS ACROSS THE GRADE LEVELS (6
TH
, 7
TH
, 8
TH
)
4
Revised September 2006

A. Numbers and Operations
Grade 6
Grade 7
Grade 8
Grade 11

7. Use divisibility rules for 2, 3, 5 and/or 10
to draw conclusions and/or solve problems.






8. Find the Greatest Common Factor
(GCF) of two numbers (through 50) and/or
use the GCF to simplify fractions.



9. Find the Least Common Multiple (LCM)
of two numbers (through 50) and/or use the
LCM to find the common denominator of
two fractions.


10. Complete equations by using the
following properties: associative,
commutative, distributive, and identity.
























































M11.A.1.2.1 Find the
Greatest Common
Factor (GCF) and/or
the Least Common
Multiple (LCM) for sets
of monomials.





STANDARDS ACROSS THE GRADE LEVELS (6
TH
, 7
TH
, 8
TH
)
5
Revised September 2006

A. Numbers and Operations
Grade 6
Grade 7
Grade 8
Grade 11


































6. Use the order of operations to simplify
numerical expressions (may use
parentheses, brackets, +, -, x,
÷, squares up
to 10
2
and cubes up to 4
3
; whole numbers
only).


3. Simplify numeric expressions involving
integers, using the order of operations.
(May include all types of grouping symbols.
No combining negatives with exponents or
compound exponents).



M11.A.3.1.1
Simplify/evaluate
expressions using the
order of operations to
solve problems (any
rational numbers may
be used).

M11.A.2.2.1
Simplify/evaluate
expressions involving
positive and negative
exponents, roots
and/or absolute value
(may contain all types
of real numbers -
exponents should not
exceed 10).

M11.A.2.2.2
Simplify/evaluate
expressions involving
multiplying with
exponents (e.g., x
6

x
7

= x
13
), powers of
powers (e.g., (x
6
)
7
=x
42
)
and powers of
products (2x
2
)
3
=8x
6
(positive exponents
only).







STANDARDS ACROSS THE GRADE LEVELS (6
TH
, 7
TH
, 8
TH
)
6
Revised September 2006

A. Numbers and Operations
Grade 6
Grade 7
Grade 8
Grade 11



















7. Write ratios to compare quantities (e.g.,
ratio of boys to girls).






8. Solve for a variable in a given proportion.



9. Calculate and/or apply unit rates or unit
prices (terminating decimals through the
hundredth place only).









10. Use proportions to determine if two
quantities are equivalent (e.g., similar
figures, prices of different sized items, etc).

11. Select and/or use ratios or proportions
to solve problems.

12. Use proportions to find the missing
length of a side in similar figures.










4.

Represent or solve rate problems (e.g.,
unit rates, simple interest, distance, etc.).
Students may be asked to solve for any
term (formulas provided on the reference
sheet for distance and interest).























M11.A.2.1.1 Solve
problems using
operations with
rational numbers
including rates and
percents (single and
multi-step and multiple
procedure operations)
(e.g., distance, work
and mixture problems,
etc.).



M11.A.2.1.3
Identify and/or use
proportional
relationships in
problem solving
settings.



M11.A.2.1.2 Solve
problems using direct
and inverse
proportions.
STANDARDS ACROSS THE GRADE LEVELS (6
TH
, 7
TH
, 8
TH
)
7
Revised September 2006

A. Numbers and Operations
Grade 6
Grade 7
Grade 8
Grade 11


11. Use estimation to solve problems
involving whole numbers and decimals (up
to 2-digit divisors and 4 operations).