Concept 1: Number Sense

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Grade 6

Grade 7

Grade 8

High School

PO 1. Make a model to represent a given whole number 0 through 20.

PO 1. Make a model to represent a given whole number 0 through 100.

PO 1. Make a model to represent a given whole number 0 through 999.

 

 

 

 

 

 

 

 

PO 2. Identify orally a whole number represented by a model with a word name and symbol 0 through 20. 

PO 2. Identify a whole number represented by a model with a word name and symbol 0 through 100.

 

PO 2. Identify a whole number represented by a model with a word name and symbol 0 through 999.

 

PO 1.  Read whole numbers in contextual situations (through six-digit numbers).

PO 1 Read whole numbers in contextual situations.

 

 

 

 

 

 

PO 3.  Count aloud, forward or backward, in consecutive order (0 through 20).

PO 3.  Count aloud, forward or backward, in consecutive order (0 through 100).

PO 3.  Count aloud, forward or backward, in consecutive order (0 through 999).

 

 

 

 

 

 

 

PO 4.

Identify whole numbers through 20 in or out of order.

PO 4.

Identify whole numbers through 100 in or out of order

PO 4.

Identify whole numbers through 999 in or out of order.

 

PO 2.

Identify six-digit whole numbers in or out of order.

 

PO 2.

Identify whole numbers in or out of order.

 

 

 

 

 

 

PO 5.

Write whole numbers through 20 in or out of order.

PO 5.

Write whole numbers through 100 in or out of order.

PO 5.

Write whole numbers through 999 in or out of order.

 

 

 

 

 

PO 3.

Write whole numbers through six-digits in or out of order.

 

 

 

 

PO 3.

Write whole numbers in or out of order.

 

 

 

 

 

 

Concept 1: Number Sense

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Grade 6

Grade 7

Grade 8

High School

PO 6. Construct equivalent forms of whole numbers, using manipulatives, through 20. (e.g., □□+□□ =□□□+□) 

PO 6. Construct equivalent forms of whole numbers, using manipulatives or symbols, through 99.  (e.g., 9 + 3 = 6 + 6)

 

PO 6. State equivalent forms of whole numbers through 999. (e.g., 15 + 5 = 10 + 10)

 

 

 

 

 

 

 

 

PO 7 State verbally whole numbers, through 20, using correct place value. (e.g., a student will read 15 as one ten and five ones).

 

PO 7.  State verbally whole numbers, through 100, using correct place value. (e.g., a student will read 84 as eight tens and four ones)

 

PO 7.  State verbally whole numbers, through 999, using correct place value. (e.g., a student will read 528 as five hundreds, two tens and eight ones)

 

PO 4.   State whole numbers, through six-digits, with correct place value, by using models, illustrations, symbols, or expanded notation. (53,941 = 50,000 + 3,000 + 900 + 40 +1)

 

 

PO 4.  

State place values for whole numbers using symbols. (203,495 = 200,000 + 3,000 + 400 + 90 + 5)

 

 

 

 

 

 

PO 8. Use manipulatives to construct models that represent place value concepts.

 

PO 8.

Construct models to represent place value concepts for the one’s and ten’s places.

 

PO 8.

Construct models to represent place value concepts for the one’s, ten’s, and hundred’s places.

 

PO 5.

Construct models to represent place value concepts for the one’s, ten’s, and hundred’s places

 

 

 

 

 

 

Concept 1: Number Sense

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Grade 6

Grade 7

Grade 8

High School

PO 9. Demonstrate expanded notation using manipulatives. (e.g., model 17 units = one group of ten and seven units: see teacher resource guide)

 

PO 9.

Apply expanded notation to model place value.

(37 = 3 groups of ten + 7 units: see teacher resource guide) 

 

PO 9.

Apply expanded notation to model place value.

 (378 = 3 hundreds + 7 tens + 8 ones: see teacher resource guide)

 

PO 6.   Apply expanded notation to model place value, through six digits. (5,378 = 5(1,000) + 3 (100) + 7(10) + 8(1): see teacher resource guide)

 

PO 5.   Apply expanded notation to model place value.

 

 

 

 

 

 

 

PO 10. Identify odd and even whole numbers through 20. 

 

PO 10. Identify odd and even whole numbers through 100.

PO 10. Identify odd and even (including 0) whole numbers through 999.

 

PO 7.  Sort whole numbers into sets containing only odd numbers or only even numbers.

 

 

 

 

 

 

 

PO 11.

Compare two whole numbers through 20.

PO 11.         

Compare two whole numbers through 100. 

PO 11.

Compare two whole numbers through 999.

PO 8. Compare two whole numbers, through six-digits.

 

PO 6. Compare two whole numbers.

 

 

 

 

 

 

 

PO 12.  Recognize the ordinal numbers through fifth. (i.e., first, second, third, etc.)

 

PO 12.  Use ordinal number through tenth.

 

PO 12. Use ordinal numbers.

 

 

 

 

 

 

 

Concept 1: Number Sense

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Grade 6

Grade 7

Grade 8

High School

PO 13.

Order three or more whole numbers through 20 (least to greatest or greatest to least).

PO 13.         

Order three or more whole numbers through 100 (least to greatest or greatest to least). 

PO 13.

Order three or more whole numbers through 999 (least to greatest or greatest to least).

PO 9. Order three or more whole numbers through six-digit numbers (least to greatest, or greatest to least).

 

PO 7. Order three or more whole numbers.

 

 

 

 

 

 

PO 14. Make models that represent given fractions to show that wholes are made up of parts.

 

PO 14. Make models that represent given fractions. (halves)

 

PO 14. Make models that represent given fractions (fourths and eighths).

 

PO 10.  Make models that represent proper fractions.

PO 8. Make models that represent improper fractions.

PO 1. Make models that represent mixed numbers.

 

 

 

 

 

PO 15. Identify the fraction represented by a model with a word name.

 

PO 15. Identify in symbols and in words a model that is divided into

equal fractional parts. (Halves) 

 

PO 15. Identify in symbols and words a model that is divided into equal fractional parts. (Fourths and eights).

 

 

 

 

 

 

 

 

 

 

PO 11. Identify symbols, words, or models that represent proper fractions.

 

PO 9. Identify symbols, words, or models that represent improper fractions.

 

 

PO 2. Identify symbols, words, or models that represent mixed numbers.

 

 

PO 1. Express fractions as ratios, comparing two whole numbers. (e.g., ¾ is equivalent to 3:4 and 3 to 4)

 

 

 

Concept 1: Number Sense

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Grade 6

Grade 7

Grade 8

High School

 

 

 

PO 12.  Use proper fractions in contextual situations.

 

PO 10.  Use improper fractions in contextual situations.

 

PO 3.  Use mixed numbers in contextual situations.

 

 

 

 

 

 

 

 

 

 

 

 

 

PO 13.

Compare two unit fractions or proper fractions with like denominators.

PO 11.

Compare two unit fractions or proper or improper fractions with like denominators.

PO 4. Compare two unit fractions, proper fractions with like denominators or mixed numbers with like denominators.

 

PO 2. Compare two proper fractions, improper fractions or mixed numbers.

 

 

 

 

 

 

 

PO 14.

Order three or more unit fractions or proper fractions with like denominators.

PO 12.

Order three or more unit fractions or proper or improper fractions with like denominators.

PO 5. Order three or more unit fractions, proper or improper fractions with like denominators or mixed numbers with like denominators.

 

 

 

 

 

 

 

 

PO 3. Order three or more proper fractions, improper fractions or mixed numbers.

 

 

 

 

Concept 1: Number Sense

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5