English Language Proficiency Framework and - S Web view Spring 2006 English Language Proficiency Framework

  • View
    0

  • Download
    0

Embed Size (px)

Text of English Language Proficiency Framework and - S Web view Spring 2006 English Language Proficiency...

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