Math 6+
For use in classrooms using 6th grade and higher level curriculum

 Math 6+ Curriculum Ladders are currently in development with an expected release in fall 2017.
 The older versions, based on NWEA’s DesCartes: A Continuum of Learning are still available.
Computation and Problem Solving:
Whole Number Operations:
 Number Sentences/Equations/Equivalence
 Properties and Relationships of Operations
 Whole Numbers and Decimals: Rounding/Estimation
 Whole Numbers: Addition/Subtraction
 Whole Numbers: Multiplication/Division
Fraction and Decimal Operations:
 Decimals: Addition/Subtraction
 Decimals: Multiplication/Division
 Fractions: Addition/Subtraction
 Fractions: Multiplication/Division
 Fractions: Represent/Model
 Properties and Relationships of Operations
 Whole Numbers and Decimals: Rounding/Estimation
Whole Numbers: Represent & Solve Problems:
 Properties and Relationships of Operations
 Whole Numbers and Decimals: Rounding/Estimation
 Whole Numbers: Represent and Solve Word Problems
Fraction and Decimals: Represent & Solve Problems:
 Decimals: Represent and Solve Word Problems
 Fractions: Represent and Solve Word Problems
 Whole Numbers and Decimals: Rounding/Estimation
Integer, Rational, Real, and Complex Numbers:
 Integers: Computation
 Rational Numbers: Computation
 Rational Numbers: Solve RealWorld and Mathematical Problems
 Real/Complex Numbers: Computation
Proportional Reasoning and Percent:
 Rates/Ratios/Proportions/Percents
 Rational Numbers: Solve RealWorld and Mathematical Problems
Exponents, Radicals, and Scientific Notation:
 Exponents
 Numerical Expressions
 Radicals
 Scientific Notation
Number Sense:
Whole Numbers: Place Value, Counting & Rounding:
 Exponents
 Whole Numbers and Decimals: Rounding/Estimation
 Whole Numbers: Compare/Order
 Whole Numbers: Counting and Cardinality
 Whole Numbers: Place Value
Fractions, Decimals, and Percents: Concepts:
 Decimals: Compare/Order
 Decimals: Represent/Model
 Fractions: Compare/Order
 Fractions: Represent/Model
 Rates/Ratios/Proportions/Percents
 Whole Numbers and Decimals: Rounding/Estimation
Fractions, Decimals, and Percents: Equivalency:
 Fractions: Equivalence
 Fractions: Represent and Solve Word Problems
 Rational Numbers: Equivalence
Integer, Rational, and Real Number: Concepts:
 Absolute Value: Concepts/Properties
 Properties and Relationships of Operations
 Rational Numbers: Compare/Order
 Rational Numbers: Represent/Model
 Real/Complex Numbers: Concepts/Properties
Rate, Ratio, Proportion, and Percent:
 Rates/Ratios/Proportions/Percents
Exponents, Radicals, and Scientific Notation:
 Exponents
 Radicals
 Scientific Notation
Number Theory:
 Whole Numbers: Concepts/Properties
Geometry:
2D and 3D Identification and Classification:
 Identification and Classification of 2D Shapes
 Identification and Classification of 3D Shapes
Spatial Reasoning, Similarity, Congruence & Scale Factors:
 Congruence
 Similarity
 Spacial Concepts and Symmetry
Lines, Angles, Polygons, and Coordinate Geometry:
 Angle Measurement
 Circles
 Conic Sections
 Coordinate Geometry
 Points, Lines, Segments, Rays, and Angles
 Relationships involving Lines, Angles, and Polygons
Transformations:
 Transformations
Pythagorean Theorem, Trigonometry & Special Right Triangles:
 Pythagorean Theorem
 Relationships involving Lines, Angles, and Polygons
 Trigonometry
Circles:
 Circles
Measurement:
Length, Weight, Mass, Capacity, & Angles:
 Angle Measurement
 Capacity
 Conversion of Units
 Length
 Problem Solving with Units
 Weight/Mass
Time, Temperature, and Money:
 Conversion of Units
 Money
 Problem Solving with Units
 Temperature
 Time
Perimeter, Area, Surface Area, and Volume:
 Area
 Perimeter/Circumference
 Problem Solving with Units
 Rates/Ratios/Proportions/Percents
 Surface Area
 Volume
Data, Statistics, and Probability:
Collect, Represent, and Analyze Data:
 Bivariate Data
 Data Analysis
 Data Representation
 Measures of Center and Spread (Variability)
Probability and Sample Spaces:
 Data Analysis
 Probability
 Sample Spaces
Population Sampling and Research Design:
 Populations/Random Processes
Algebraic Concepts:
Patterns, Function Tables, and the Coordinate Plane:
 Coordinate Geometry
 Patterns/Sequences/Series
Expressions:
 Algebraic Expressions
 Exponents
 Numerical Expressions
Equations and Inequalities:
 Decimals: Represent and Solve Word Problems
 Inequalities
 Number Sentences/Equations/Equivalence
System of Equations and Inequalities:
 System of Equations/Inequalities
Linear Functions, Slope, and Rate of Change:
 Linear Functions
 Rate of Change/Slope
Nonlinear Functions:
 Exponential and Logarithmic Functions
 Piecewise/Absolute Value Functions
 Polynomial Functions
 Quadratric Functions
 Radical Functions
 Trigonometric Functions/Radian Measure
Definitions, Properties, and Operations of Functions:
 Properties and Operations of Functions
Material from DesCartes: A Continuum of Learning is provided by courtesy of NWEA and may not be republished, rewritten, or redistributed. All rights reserved.” Material from the Learning Continuum is provided by courtesy of NWEA and may not be republished, rewritten, or redistributed. All rights reserved 
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