Minnesota Mathematics Standards (2007) Strands
Alignment to NWEA/MAP Strands
Grades 6+
The MN Mathematics Content Standards and NWEA/MAP Tests are organized using the same mathematical categories as recommended
by the National Council of Teachers of Mathematics (NCTM). These major categories are called strands.
NWEA/MAP scores are reported in these strands and in substrands. The substrands provide more precise information about students’
skills. This document aligns individual MN standards with these substrands for purposes of instructional planning.
The following is a key to the strands and corresponding substrands found in these two important instructional resources. The following
chart provides a summary of the strand information detailed in this document.
MN Standards Strands
NWEA/MAP Strand & Substrands
Number & Operations
Number & Operation
Algebra
Algebra
 Real Numbers: Classify, Represent, Compare
 Calculate with Rational Numbers
 Ratios, Rates & Problems with Rational Numbers




Geometry & Measurement
Geometry & Measurement




Data Analysis & Probability
Functions: Representations, Linear & Non Linear
Algebraic and Numerical Expressions; Polynomials
Functions: Linear, Quadratic, Exponential
Linear, Quadratic, Root: Equations & Inequalities
Area, Surface Area, Volume and Circumference
Units of Measurement and Unit Conversions
Transformations, Similarity, and Trigonometry
Geometric Properties and Logical Arguments
Data Analysis & Probability
 Probabilities: Represent, Use, Calculate & Apply
 Data: Trends, Relationships, Scatterplots
 Data: Displays, Inference, Sampling
Grades 6 -12 Minnesota Mathematics Standards (2007)
Alignment to NWEA/MAP (Descartes) Substrands
MN Mathematics Content Standard
NWEA/MAP Mathematics Strand
Number & Operation
Number & Operation
Grade 6 Standard 6.1.1: Read, write, represent and compare positive rational numbers
expressed as fractions, decimals, percents and ratios; write positive integers as products of factors;
use these representations in real-world and mathematical situations.
Grade 7 Standard 7.1.1: Read, write, represent and compare positive and negative rational
Real Numbers: Classify, Represent, Compare
numbers, expressed as integers, fractions and decimals.
Grade 8 Standard 8.1.1: Read, write, compare, classify and represent real numbers, and use
them to solve problems in various contexts.
Grade 6 Standard 6.1.3: Multiply and divide decimals, fractions and mixed numbers; solve realworld and mathematical problems using arithmetic with positive rational numbers.
Grade 7 Standard 7.1.2: Calculate with positive and negative rational numbers, and rational
numbers with whole number exponents, to solve real-world and mathematical problems.
Grade 6 Standard 6.1.2: Understand the concept of ratio and its relationship to fractions and to
the multiplication and division of whole numbers. Use ratios to solve real-world and mathematical
problems.
Calculate with Rational Numbers
Ratios, Rates & Problems with Rational Numbers
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Grades 6 -12 Minnesota Mathematics Standards (2007)
Alignment to NWEA/MAP (Descartes) Substrands
MN Mathematics Content Standard
NWEA/MAP Mathematics Strand
Algebra
Algebra
Grade 6 Standard 6.2.1: Recognize and represent relationships between varying quantities;
translate from one representation to another; use patterns, tables, graphs and rules to solve realworld and mathematical problems.
Grade 7 Standard 7.2.1: Understand the concept of proportionality in real-world and
mathematical situations, and distinguish between proportional and other relationships.
Grade 8 Standard 8.2.1: Understand the concept of function in real-world and mathematical
situations, and distinguish between linear and non-linear functions.
Grades 9 - 11 Standard 9.2.1: Understand the concept of function, and identify important
features of functions and other relations using symbolic and graphical methods where appropriate.
Functions: Representations, Linear & Non Linear
Grade 6 Standard 6.2.2: Use properties of arithmetic to generate equivalent numerical
expressions and evaluate expressions involving positive rational numbers.
Grade 7 Standard 7.2.3: Apply understanding of order of operations and algebraic properties to
generate equivalent numerical and algebraic expressions containing positive and negative rational
numbers and grouping symbols; evaluate such expressions.
Grade 8 Standard 8.2.3: Generate equivalent numerical and algebraic expressions and use
algebraic properties to evaluate expressions.
Grades 9 – 11 Standard 9.2.3: Generate equivalent algebraic expressions involving polynomials
and radicals; use algebraic properties to evaluate expressions.
Algebraic and Numerical Expressions; Polynomials
Grade 7 Standard 7.2.2: Recognize proportional relationships in real-world and mathematical
situations; represent these and other relationships with tables, verbal descriptions, symbols and
graphs; solve problems involving proportional relationships and explain results in the original
context.
Grade 8 Standard 8.2.2: Recognize linear functions in real-world and mathematical situations;
represent linear functions and other functions with tables, verbal descriptions, symbols and graphs;
solve problems involving these functions and explain results in the original context.
Grades 9 – 11 Standard 9.2.2: Recognize linear, quadratic, exponential and other common
functions in real-world and mathematical situations; represent these functions with tables, verbal
descriptions, symbols and graphs; solve problems involving these functions, and explain results in
the original context.
Functions: Linear, Quadratic, Exponential
Grade 6 Standard 6.2.3: Understand and interpret equations and inequalities involving
variables and positive rational numbers. Use equations and inequalities to represent real-world and
mathematical problems; use the idea of maintaining equality to solve equations. Interpret solutions
in the original context.
Grade 7 Standard 7.2.4: Represent real-world and mathematical situations using equations with
variables. Solve equations symbolically, using the properties of equality. Also solve equations
graphically and numerically. Interpret solutions in the original context.
Grade 8 Standard 8.2.4: Represent real-world and mathematical situations using equations and
inequalities involving linear expressions. Solve equations and inequalities symbolically and
graphically. Interpret solutions in the original context.
Grades 9 – 11 Standard 9.2.4: Represent real-world and mathematical situations using
equations and inequalities involving linear, quadratic, exponential and n th root functions. Solve
equations and inequalities symbolically and graphically. Interpret solutions in the original context.
Linear, Quadratic, Root: Equations & Inequalities
3
Grades 6 -12 Minnesota Mathematics Standards (2007)
Alignment to NWEA/MAP (Descartes) Substrands
MN Mathematics Content Standard
NWEA/MAP Mathematics Strand
Geometry & Measurement
Geometry & Measurement
Grade 6 Standard 6.3.1: Calculate perimeter, area, surface area and volume of two- and three-
dimensional figures to solve real-world mathematical problems.
Grade 7 Standard 7.3.1: Use reasoning w/proportions and ratios to determine measurements,
justify formulas and solve re-world and mathematical problems involving circles and related
geometric figures.
Grades 9-11 Standard 9.3.1: Calculate measurements of plane and solid geometric figures;
know that physical measurements depend on the choice of a unit and that they are approximations.
Grade 6 Standard 6.3.3: Choose appropriate units of measurement and use ratios to convert
within measurement systems to solve real-world and mathematical problems.
Area, Surface Area, Volume and Circumference
Units of Measurement and Unit Conversions
Grade 7 Standard 7.3.2: Analyze the effect of change of scale, translations and reflections on the
attributes of two-dimensional figures.
Grades 9 - 11 Standard 9.3.4: Solve real-world and mathematical geometric problems using
algebraic methods.
Transformations, Similarity, and Trigonometry
Grade 6 Standards 6.3.2: Understand and use relationships between angles in geometric figures
Grade 8 Standard 8.3.1: Solve problems involving right triangles using the Pythagorean
Theorem and its converse
Grade 8 Standard 8.3.2: Solve problems involving parallel and perpendicular lines on a
coordinate system
Geometric Properties and Logical Arguments
Grades 9-11 Standard 9.3.2: Construct logical arguments, based on axioms, definitions and
theorems, to prove theorems and other results in geometry.
Grades 9-11 Standard 9.3.3: Know and apply properties of geometric figures to solve realworld and mathematical problems and to logically justify results.
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Grades 6 -12 Minnesota Mathematics Standards (2007)
Alignment to NWEA/MAP (Descartes) Substrands
MN Mathematics Content Standard
NWEA/MAP Mathematics Strand
Data Analysis & Probability
Data Analysis & Probability
Grade 6 Standard 6.4.1: Use probabilities to solve real-world and mathematical problems;
represent probabilities using fractions, decimals and percents.
Grade 7 Standard 7.4.3: Calculate probabilities and reason about probabilities using
proportions to solve real-world and mathematical.
Grades 9-11 Standard 9.4.3: Calculate probabilities and apply probability concepts to solve
real-world and mathematical problems.
Probabilities: Represent, Use, Calculate & Apply
Grade 7 Standard 7.4.1: Use mean, median and range to draw conclusions about data and make
predictions.
Grade 8 Standard 8.4.1: Interpret data using scatter plots and approximate liens of best fit. Use
lines of best fit to draw conclusions about data.
Data: Trends, Relationships, Scatterplots
Grades 9-11 Standard 9.4.2: Explain the uses of data and statistical thinking to draw
inferences, make predictions and justify conclusions.
Grade 7 Standard 7.4.2: Display and interpret data in a variety of ways, including circle
graphs and histograms.
Grades 9-11 Standard 9.4.1: Display and analyze data; use various measures associated with
Data: Displays, Inference, Sampling
data to draw conclusions, identify trends and describe relationships.
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