Download 7th Grade 2007 Math with MTAS-III Information

Minnesota 7th Grade MTAS
2007 Math Strands & Extended Standards
STRAND
EXTENDED STANDARD
7.1.1 Read, represent & compare integers.
7.1
Number &
7.1.2 Calculate with positive and negative rational numbers to
Operation solve real-world & mathematical problems.
(1-2 tasks)
7.2
Algebra
(3-4 tasks)
7.3
Geometry &
Measurement
7.2.2 Recognize proportional relationships in real-world and
mathematical situations; represent these and other relationships
with tables, verbal descriptions and graphs; solve problems
involving proportional relationships.
7.2.4 Represent real-world and mathematical situations using
equations with variables & positive integers. Solve equations
graphically, numerically & using the properties of equality.
7.3.2 Analyze the effect of change of scale, translations &
reflections on the attributes of 2-dimensional figures.
(1-2 tasks)
7.4
Data
Analysis
7.4.3 Calculate probabilities and reason about probabilities using
proportions to solve real-world and mathematical problems.
(1-2 tasks)
Christy Hemp, SW/WC Service Cooperative, Marshall, MN—June 2011
Christy Hemp, SW/WC Service Cooperative, Marshall, MN—June 2011
7th Grade—Number & Operation Strand
2007 MN Math Extended Standard to Extended Benchmarks with Vocabulary
& Symbols from MTAS Draft Test Specifications
(1-2 tasks)
EXTENDED
STANDARD
7.1.1
Read, represent
& compare
integers.
EXTENDED
BENCHMARK
VOCABULARY



opposite
coordinate
plot
7.1.1.3
Locate integers on a number line & a
coordinate grid; understand the concept of
opposites.

(0-1 tasks)
Integers are limited to 1 digit
7.1.2.1
Add, subtract, multiply & divide positive &
negative rational numbers that are integers,
fractions & terminating decimals.
7.1.2
Calculate with
positive &
negative
rational
numbers to
solve real-world
& mathematical
problems.
(0-1 tasks)








simple interest
compound
interest
proportion
positive
negative
numerator
denominator
decimal


Items must not have context
Denominators in fractions are limited to
2, 3, 4, 5, 6, 8 & 10
7.1.2.4
Solve various problems in various contexts
involving calculations with positive & negative
rational numbers.

Denominators in fractions are limited to
2, 3, 4, 5, 6, 8 & 10
7.1.2.5
Use proportional reasoning to solve problems
involving ratios in various contexts.

Denominators in fractions are limited to
2, 3, 4, 5, 6, 8 & 10
Christy Hemp, SW/WC Service Cooperative, Marshall, MN—June 2011
Christy Hemp, SW/WC Service Cooperative, Marshall, MN—June 2011
7th Grade—Algebra Strand
2007 MN Math Extended Standard to Extended Benchmarks with Vocabulary
& Symbols from MTAS Draft Test Specifications
(2-3 tasks)
EXTENDED
STANDARD
7.2.2
Recognize
proportional
relationships in
real-world &
mathematical
situations;
represent
these & other
relationships
with tables,
verbal
descriptions &
graphs; solve
problems
involving
proportional
relationships.
(1-2 tasks)
EXTENDED
BENCHMARK
VOCABULARY
7.2.2.1
Identify proportional relationships
represented in tables, verbal descriptions,
equations & graphs; translate from 1
representation to another. Determine
the unit rate (constant of proportionality
or slope) given any of these
representations.
Contexts may include (but are not
limited to) discounts, tax, similar
geometric figures & conversions
 Equations & inequalities are limited to
1 variable
 All values, including variables, are
whole numbers
7.2.2.2
Solve problems involving proportional
relationships in familiar contexts.









proportional
origin
slope
inequality
equation
represent
equivalent
variable
Contexts may include (but are not
limited to) discounts, tax, similar
geometric figures & conversions
 Equations & inequalities are limited to
1 variable
 All values, including variables, are
whole numbers
7.2.2.4
Represent real-world or mathematical
situations using equations & inequalities
involving variables.


Contexts may include (but are not
limited to) discounts, tax, similar
Christy Hemp, SW/WC Service Cooperative, Marshall, MN—June 2011


Represent realworld &
mathematical
situations using
equations with
variables &
positive
integers. Solve
equations
graphically,
numerically &
using the
properties of
equality.
(1-2 tasks)
geometric figures & conversions
Equations & inequalities are limited to
1 variable
All values, including variables, are
whole numbers
7.2.4.1
Represent relationships with equations
involving variables & positive integers.
Use the properties of equality to solve
for the value of a variable.








solve
variable
represent
value
equivalent
proportional
equation

Multiplication is not required
Equations are limited to 1 variable
7.2.4.2
Solve equations resulting from
proportional relationships in familiar
contexts.


Must use multiplication
Equations are limited to 1 variable
Christy Hemp, SW/WC Service Cooperative, Marshall, MN—June 2011
7th Grade—Geometry & Measurement Strand
2007 MN Math Extended Standard to Extended Benchmarks with Vocabulary
& Symbols from MTAS Draft Test Specifications
(1-2 tasks)
EXTENDED
STANDARD
7.3.2
Analyze the
effect of
change of
scale,
translations
and reflections
on the
attributes of
2-dimensional
figures.
(1-2 tasks)
EXTENDED
BENCHMARK
VOCABULARY
7.3.2.3
Use proportions & ratios to solve problems
involving scale drawings & models &
conversions of measurement units.
Conversions are limited to no more than
2 per item
 Tasks may use models
7.3.2.4
Identify translations & reflections of
figures on a coordinate grid, & determine
the coordinates of the vertices of the
figure after the transformation







similar
corresponding
scale drawing
transformation
reflection
grid



Images may be reflected over only
vertical or horizontal lines
Tasks may use models
Include manipulatives for coordinate
grid tasks
Christy Hemp, SW/WC Service Cooperative, Marshall, MN—June 2011
Christy Hemp, SW/WC Service Cooperative, Marshall, MN—June 2011
7th Grade—Data Analysis & Probability Strand
2007 MN Math Extended Standard to Extended Benchmarks with Vocabulary
& Symbols from MTAS Draft Test Specifications
(1-2 tasks)
EXTENDED
STANDARD
7.4.3
Calculate
probabilities
and reason
about
probabilities
using
proportions
to solve realworld and
mathematical
problems.
EXTENDED
BENCHMARK
VOCABULARY
7.4.3.2
Calculate probability as a fraction of the set of
possible outcomes or as a fraction of area.








frequency
predict
probability
outcome
likely
combination
spinner
number cube

Size of the set of possible outcomes is
limited to 12 when the task requires listing
possible outcomes
7.4.3.3
Use proportional reasoning to draw conclusions
about & predict relative frequencies of outcomes
based on probabilities.

The total of relative frequencies is limited to
30
(1-2 tasks)
Christy Hemp, SW/WC Service Cooperative, Marshall, MN—June 2011