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English Language Proficiency Framework and
English Language Proficiency
Framework Connections
for
Mathematics
Grades K-8
Spring 2006
English Language Proficiency Framework
Strand
Content Standard
Number and Operations
1. Number Sense
Students shall understand numbers, ways of representing numbers, relationships among numbers, and number systems.
2. Properties of Number
Operations
Students shall understand meanings of operations and how they relate to one another.
3. Numerical Operations
and Estimation
Students shall compute fluently and make reasonable estimates.
Algebra
4. Patterns, Relations,
and Functions
Students shall recognize, describe and develop patterns, relations, and functions.
5. Algebraic
Representations
Students shall represent and analyze mathematical situations and structures using algebraic symbols.
6. Algebraic Models
Students shall develop and apply mathematical models to represent and understand quantitative relationships.
7. Analysis of Change
Students shall analyze change in various contexts.
Geometry
8. Geometric Properties
Students shall analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.
9. Transformation of
Shapes
Students shall apply transformations and the use of symmetry to analyze mathematical situations.
10. Coordinate Geometry
Students shall specify locations and describe spatial relationships using coordinate geometry and other representational systems.
11. Visualization and
Geometric Models
Students shall use visualization, spatial reasoning, and geometric modeling.
Measurement
12. Physical Attributes
Students shall use attributes of measurement to describe and compare mathematical and real-world objects.
13. Systems of
Measurement
Students shall identify and use units, systems and processes of measurement.
Data Analysis and Probability
14. Data Representation
Students shall formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them.
15. Data Analysis
Students shall select and use appropriate statistical methods to analyze data.
16. Inferences and
Predictions
Students shall develop and evaluate inferences and predictions that are based on data.
17. Probability
Students shall understand and apply basic concepts of probability.
*Each grade level continues to address earlier Student Learner Expectations as needed and as they apply to more difficult text
Grades K-2
Strand 1: Number and Operations
Students shall use the Language of Number and Operations to develop mathematical knowledge of Number Sense, Properties of Number Operations, and Numerical Operations and Estimation
· Students shall understand numbers, ways of representing numbers, relationships among numbers and number systems.
· Students shall understand meanings of operations and how they relate to one another.
· Students shall compute fluently and make reasonable estimates.
ELP Student Learning Expectation
Student Proficiency Levels
Math SLE Connections
Level 1
Level 2
Level 3
Level 4
Level 5
ELPNO.1.K-2.1
Use efficient strategies to count a given set of objects appropriate to grade level
Use simple strategies to count a set of objects up to 10
Use simple strategies to count a set of objects up to 20
Use efficient strategies to count a set of objects up to 50
Use efficient strategies to count a set of objects appropriate to grade level
Use efficient strategies to count a given set of objects appropriate to grade level
NO.1.K.1
NO.1.1.1
NO.1.2.1
ELPNO.1.K-2.2
Connect various physical models and representations to the quantities they represent using number names, numerals and number words, with and without appropriate technology
Illustrate and label whole numbers using physical models to connect to the number names, numerals and words up to 10 through composition and decomposition
Illustrate and label whole numbers using physical models to connect to the number names, numerals and words up to 20
through composition and decomposition
Illustrate and label whole numbers using physical models to connect to the number names, numerals and words up to 50
through composition and decomposition
Illustrate and label whole numbers using physical models to connect to the number names, numerals, and words
through composition and decomposition
Connect various physical models and representations to the quantities they represent using number names, numerals and number words, with and without appropriate technology
NO.1.K.3
NO.1.1.3
NO.1.2.3
ELPNO.1.K-2.3
Demonstrate various meanings of addition and subtraction using composition and decomposition
Illustrate oral math statements of addition and subtraction using manipulatives
Illustrate addition and subtraction operations from oral directions using manipulatives or drawings
Illustrate oral math stories involving operations of addition and subtraction by using manipulatives, drawing pictures, or making tallies
Illustrate oral math stories involving operations of addition and subtraction, using manipulatives or symbols, drawing pictures, or making tallies
Demonstrate various meanings of addition and subtraction using composition and decomposition
NO.2.K.2
NO.2.1.4
NO.2.2.5
Grades K-2
Strand 1: Number and Operations
Students shall use the Language of Number and Operations to develop mathematical knowledge of Number Sense, Properties of Number Operations, and Numerical Operations and Estimation
· Students shall understand numbers, ways of representing numbers, relationships among numbers and number systems.
· Students shall understand meanings of operations and how they relate to one another.
· Students shall compute fluently and make reasonable estimates.
ELP Student Learning Expectation
Student Proficiency Levels
Math SLE Connections
Level 1
Level 2
Level 3
Level 4
Level 5
ELPM.NO.1.K-2.4
Represent fractions using words, numerals, and physical models
Represent commonly used fractions such as halves, thirds, and fourths in relation to the whole using physical models and drawings
Represent commonly used fractions such as halves, thirds, and fourths in relation to the whole using physical models, drawings, and numerals
Represent commonly used fractions such as halves, thirds, and fourths in relation to the whole using physical models, drawings, numerals, and words
Represent commonly used fractions such as halves, thirds, fourths, sixths, and eighths, as grade appropriate, in relation to the whole using words, numerals, and physical models
Represent fractions using words, numerals, and physical models
NO.1.K.11
NO.1.1.12
NO.1.2.9
ELPM.NO.1.K-2.5
Recognize vocabulary that is essential to solve problems, using a variety of methods including place value, with and without technology
Match vocabulary to symbols, figures, or drawings when solving problems, with assistance
Match vocabulary to symbols, figures, or drawings when solving problems
Recognize vocabulary that is essential to solve problems, using a variety of methods, with and without technology, with assistance
Recognize vocabulary that is essential to solve problems, using a variety of methods including place value, with and without technology, with assistance
Recognize vocabulary that is essential to solve problems, using a variety of methods including place value, with and without technology
NO.3.K.3
NO.3.1.3
NO.3.2.4
Vocabulary: estimate, ordinal numbers, commutative property, associative property, identity, number line, sum, add, addend, difference, subtract, subtrahend, minuend, odd, even, compatible number, compensatory numbers, multiples of ten, ones, tens, hundreds, thousands, fractions
Grades K-2
Strand 2: Algebra
Students shall use the Language of Algebra to develop mathematical knowledge of Patterns, Relations and Functions, Algebraic Representations, Algebraic Models, and Analysis of Change
· Students shall recognize, describe and develop patterns, relations and functions.
· Students shall represent and analyze mathematical situations and structures using algebraic symbols.
· Students shall develop and apply mathematical models to represent and understand quantitative relationships.
· Students shall analyze change in various contexts.
ELP Student Learning Expectation
Student Proficiency Levels
Math SLE Connections
Level 1
Level 2
Level 3
Level 4
Level 5
ELPM.A.2.K-2.1
Sort, classify, and label objects by different attributes
Sort, classify, and label objects from oral statements and illustrations, with assistance
Sort, classify, and label
