Chicopee Public Schools: English Language Learners Curriculum

 Benchmarks and Outcomes (ELPBO)

 

Grade: 5th Grade                                        Subject: Math                          Strand: (1) Number sense and operations

 

Academic Benchmarks / Skills (6.N.1 to 6.N.16):

1.       Demonstrate an understanding of positive integer exponents, in particular, when used in powers of ten, e.g., 102, 105 . (6.N.1)

2.     Demonstrate an understanding of place value to billions and thousandths. (6.N.2)

3.     Represent and compare very large (billions) and very small (thousandths) positive numbers in various forms such as expanded notation without exponents, e.g., 9724 = 9 x 1000 + 7 x 100 + 2 x 10 + 4. (6.N.3)

4.     Demonstrate an understanding of fractions as a ratio of whole numbers, as parts of unit wholes, as parts of a collection, and as locations on the number line. (6.N.4)

5.     Identify and determine common equivalent fractions, mixed numbers, decimals, and percents. (6.N.5)

6.     Find and position integers, fractions, mixed numbers, and decimals (both positive and negative) on the number line. (6.N.6)

7.     Compare and order integers (including negative integers), and positive fractions, mixed numbers, decimals, and percents. (6.N.7)

8.     Apply number theory concepts–including prime and composite numbers, prime factorization, greatest common factor, least common multiple, and divisibility rules for 2, 3, 4, 5, 6, 9, and 10–to the solution of problems. (6.N.8)

9.     Select and use appropriate operations to solve problems involving addition, subtraction, multiplication, division, and positive integer exponents with whole numbers, and with positive fractions, mixed numbers, decimals, and percents. (6.N.9)

10.  Use the number line to model addition and subtraction of integers, with the exception of subtracting negative integers. (6.N.10)

11.   Apply the Order of Operations for expressions involving addition, subtraction, multiplication, and division with grouping symbols (+, –, x, ÷). (6.N.11)

12.  Demonstrate an understanding of the inverse relationship of addition and subtraction, and  

       use that understanding to simplify computation and solve problems. (6.N.12)

13.        Accurately and efficiently add, subtract, multiply, and divide (with double-digit divisors) 

       whole numbers and positive decimals. (6.N.13)

14.        Accurately and efficiently add, subtract, multiply, and divide positive fractions and mixed 

       numbers. Simplify fractions. (6.N.14)

15.        Add and subtract integers, with the exception of subtracting negative integers. (6.N.15)

16.        Estimate results of computations with whole numbers, and with positive fractions, mixed numbers, decimals, and percents. Describe reasonableness of estimates. (6.N.16)

 

ELL Benchmarks (ELPBO)

Beginner

Early Intermediate

Intermediate

Transitioning

S1.1 Demonstrate comprehension of everyday words and phrases, using pictures, actions, and/or objects.

 

S3.3 Demonstrate understanding when simple information is given.

 

S3.12 Make and respond to oral requests.

 

W2.2b Dictate sentences that give information.

 

S1.25 Demonstrate comprehension of abstract words and phrases in various contents.

 

S3.14 Ask and respond to questions to clarify information.

 

S1.27 Rephrase ideas and thoughts to express meaning.

 

S2.44 Demonstrate comprehension of extended explanations and multi-step instructions.

 

 

ELL Benchmarks (ELPBO)

Beginner

Early Intermediate

Intermediate

Transitioning

S1.3 Demonstrate comprehension of vocabulary essential for grade-level content learning, using pictures, actions, and / or objects.

 

S3.1 Demonstrate comprehension of oral directions that include visual cues.

 

S3.23 Identify and follow classroom expectations and conventions (such as raising hand, taking turns).

 

R2.1a Listen to stories read aloud.

 

R2.1b Choose to look at books.

 

W4.1a Employ left-to-right and top-to-bottom orientation.

 

S3.30 Understands oral questions that are based on academic content.

 

S3.40 Describe how two things within academic content are alike or different.

 

S3.43 Participate in classroom discussions and activities, when frequent clarification is given.

 

S3.65 Participate in classroom discussion and other academic interactions, using basic and complex sentence structures and addressing abstract topics.

 

R1.3 Use context to determine the meanings of words.

 

W2.4c List details that describe story events.

 

 

ELL Benchmarks (ELPBO)

Beginner

Early Intermediate

Intermediate

Transitioning

R2.1c Repeat words and phrases from text that is read.

 

R2.1d Participate in choral reading.

 

R2.1e Recite memorized parts of chants, pattern books, and familiar books.

 

R2.1f Use text as well as illustrations to gain meaning of text.

 

R2.1g Recognize that printed text can provide information.

 

R2.1h Recognize that printed text can provide entertainment.

 

 

 

 

 

 

 

 

 

ELL Benchmarks (ELPBO)

Beginner

Early Intermediate

Intermediate

Transitioning

R2.1i Demonstrate how to handle a book and turn the pages.

 

R2.1j Identify the covers and title page of a book.

 

R2.2b Identifies labels and signs in the school environment.

 

 

 

 

 

 

 

 

 

 

References: Houghton-Mifflin 2005, Massachusetts Math Frameworks and the English Language Learners Proficiency Benchmarks and Outcomes for English Language Learners

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