TEKS Student Expectations

MATHEMATICS

Vertical Alignment

 

Number, operation, and quantitative reasoning.

The student uses numbers to name quantities.  The student is expected to:

use one-to-one correspondence and language to describe relative sizes

(K.1)    (A)       Kindergarten:       use one-to-one correspondence and language such as more than, same number as, or two less to describe relative sizes of sets of concrete objects

(1.1)     (A)       First grade:          compare whole numbers up to 99 (less than, greater than, or equal to) using sets of concrete objects and pictorial models

                        Second grade:     compare whole numbers up to 999 (less than, greater than, or equal to) using sets of concrete objects and pictorial models

                        Third grade:         compare whole numbers up to 9,999 (less than, greater than, or equal to) using sets of concrete objects and pictorial models

 

use place value to describe, compare, and order whole numbers using concrete models

(K.1)    (B)       Kindergarten:       use sets of concrete objects to represent quantities given in verbal or written form (through 9) (DVISD expectation: use place value to create sets of tens and ones using concrete objects to describe, compare, and order whole numbers to 99)

(1.1)     (B)       First grade:          use place value to create sets of tens and ones using concrete objects to describe, compare, and order whole numbers (DVISD expectation:  use place value to create sets of tens, ones, and hundreds using concrete objects to describe, compare, and order whole numbers)

                        Second grade:     (DVISD expectation:  use place value to create sets of tens, ones, hundreds, and thousands using concrete objects to describe, compare, and order whole numbers)

 

use numbers to describe how many objects are in a set

(K.1)    (C)       Kindergarten:       use numbers to describe how many objects are in a set of 20

                       

use place value to read, write (in symbols and words)

.                       Kindergarten:       (DVISD expectation:  use place value to read, write (in symbols and words), and describe the value of whole numbers through 999)

(1.1)     (D)       First grade:          (DVISD expectation:  use place value to read, write (in symbols and words), and describe the value of whole numbers through 999 with the ability to recognize up to 9,999)

(2.1)                 Second grade:     (DVISD expectation:  use place value to read, write (in symbols and words), and describe the value of whole numbers through 99,999)

(3.1)     (A)       Third grade:       use place value to read, write (in symbols and words), and describe the value of whole numbers through 999,999

(4.1)     (A)       Fourth grade:    use place value to read and write whole numbers through the millions place

(5.1)     (A)       Fifth grade:        use place value to read and write whole numbers through the billions place

 

use place value to compare and order whole numbers

                        Kindergarten:       (DVISD expectation:  use place value to compare and order whole numbers through 99)

(1.1)     (C)       First grade:          use words and numbers to describe the values of individual coins such as penny, nickel, dime, and quarter and their relationship (DVISD expectation:  use place value to compare and order whole numbers through 99 with the ability to recognize up to 999)

(2.1)                 Second grade:     use place value to compare and order whole numbers through 999 and:  use place value to compare and order whole numbers through 9,999)

(3.1)     (B)       Third grade:         use place value to compare and order whole numbers through 9,999 (DVISD expectation:  use place value to compare and order whole numbers through 999,999

(4.1)     (A)       Fourth grade:    use place value to compare and order whole numbers through the millions place

(5.1)     (A)       Fifth grade:        use place value to compare and order whole numbers through the billions place

 

determine the value of a collection of coins and bills

                        Kindergarten:       (DVISD expectation: determine the value of a collection of coins (pennies, nickels, dimes, and quarters)

(1.1)     (C)       First grade:          use words and numbers to describe the values of individual coins such as penny, nickel, dime, and quarter and their relationships (DVISD expectation: determine the value of individual coins (pennies, nickels, dimes, and quarters) and their relationships with half dollars and one dollar bills)

(2.3)     (C)       Second grade:     determine the value of a collections of coins less than one dollar (DVISD expectation:  determine the value of a collection of coins and bills (pennies, nickels, dimes, quarters, half dollars, and ones, fives, tens, and twenties dollar bills)

(3.1)     (C)       Third grade:      determine the value of a collection of coins and bills (pennies, nickels, dimes, quarters, half dollars, and ones, fives, tens, and twenties, fifties, and one hundred dollar bills)

                        Fourth grade:       (DVISD expectation: continue use of money to determine the value of a collection of coins and bills)

                        Fifth grade:          (DVISD expectation: continue use of money to relate decimals to real-life situations)

 

use place value to read, write, compare, and order decimals through the thousandths place

                        Second grade:     (DVISD expectation: read and write decimals through the tenths place)

                        Third grade:         (DVISD read and write decimals through the hundredths place)

(4.1)     (B)       Fourth grade:       use place value to read, write, compare, and order decimals involving tenths and hundredths, including money, using concrete models

(5.1)     (B)       Fifth grade:        use place value to read, write, compare, and order decimals through the thousandths place

 

compare and order non-negative rational numbers

                        Fourth grade:       (DVISD expectation: introduce non-negative rational numbers)

                        Fifth grade:          (DVISD expectation: compare and order non-negative rational numbersand integers)

(6.1)     (A)       Sixth grade:       compare and order positive rational numbers through models

(7.1)     (A)       Seventh grade:  compare and order positive rational numbers

generate equivalent forms of rational numbers

                        Fifth grade:          (DVISD expectation: generate equivalent forms of rational numbers including whole numbers, fractions, and decimals)

(6.1)     (B)       Sixth grade:       generate equivalent forms of rational numbers including whole numbers, fractions, and decimals

 

use integers to represent real-life situations

                        Fourth grade:       (DVISD expectation: introduce integers)

                        Fifth grade:          (DVISD expectation: use integers to represent real-life situations)

(6.1)     (C)       Sixth grade:       use integers to represent real-life situations (DVISD expectation: use models to add and subtract integers)

 

write prime factorizations using exponents

                        Fifth grade:          (DVISD expectation: write prime factorizations using exponents)

(6.1)     (D)       Sixth grade:       write prime factorizations using exponents

 

identify factors and multiples including common factors and common multiples

                        Fifth grade:          (DVISD expectation: identify factors and multiples including common factors and common multiples)

(6.1)     (E)       Sixth grade:       identify factors and multiples including common factors and common multiples

 

convert between fractions, decimals, whole numbers, and percents mentally, on paper [or with a calculator]

                        Fifth grade:          (DVISD expectation: convert between fractions, decimals and whole numbers mentally, on paper [or with a calculator])

                        Sixth grade:         (DVISD expectation: convert between fractions, decimals, whole numbers, and percents mentally, on paper [or with a calculator])

(7.1)     (B)       Seventh grade:  convert between fractions, decimals, whole numbers, and percents mentally, on paper [or with a calculator]

 

represent squares and square roots using geometric models

                        Fifth grade:          (DVISD expectations: represent squares and square roots using geometric models)

                        Sixth grade:         (DVISD expectations: represent squares and square roots using geometric models)

(7.1)     (C)       Seventh grade:  represent squares and square roots using geometric models

 

The student describes order of events or objects.  The student is expected:

use language to describe relative positions in a sequence of events or objects

(K.2)    (A)       Kindergarten:       use language such as before and after to describe relative positions in a sequence of events and objects

 

name the ordinal positions in a sequence

(K.2)    (B)       Kindergarten:       name the ordinal positions in a sequence such as first, second, third, etc.

                        First grade:          (DVISD expectation: name the ordinal positions in a sequence through 10)

                        Second grade:     (DVISD expectation: name the ordinal positions in a sequence through 20)

Fractions

The student recognizes that there are quantities less than a whole and uses pairs of whole numbers to describe the parts of whole describe fractional parts of whole objects or sets of objects.  The student is expected to:

share a whole by separating it into equal parts

(K.3)    (A)       Kindergarten:       share a whole by separating it into equal parts

(1.2)     (A)       First grade:          share a whole by separating it into equal parts and uses appropriate language to describe the parts such as three out of four equal parts

                        Second grade:     (DVISD expectation: share a whole by separating it into equal parts and uses appropriate language to describe fractional parts with denominators up to and including eighths)

 

explain why a given part is half of the whole

(K.3)    (B)       Kindergarten:       explain why a given part is half of the whole

(1.2)     (B)       First grade:          use appropriate language to describe part of a set such as three out of eight crayons are red

                       

use fraction names and symbols to describe fractional parts of whole objects or sets of objects

                        Kindergarten:       (DVISD expectation: use fraction names and symbols to describe fractional parts of whole objects or sets of objects with denominators of 2)

                        First grade:          (DVISD expectation: use fraction names and symbols to describe fractional parts of whole objects or sets of objects with denominators of 2, 3, and 4 with the ability to recognize sixths and eighths)

(2.2)     (A)(B)  Second grade:     name fractional parts of a whole object or a set of objects (not to exceed twelfths) when given a concrete representation

(3.2)     (C)       Third grade:      use fraction names and symbols to describe fractional parts of whole objects or sets of objects with denominators of 12 or less

 

construct concrete models of fractions

                        Kindergarten:       (DVISD expectation: construct concrete models of fractions to represent halves)

                        First grade:          (DVISD expectation: construct concrete models of fractions to represent halves and fourths)

                        Second grade:     (DVISD expectation: construct concrete models of fractions to represent halves, thirds, fourths, and sixths)

(3.2)     (A)       Third grade:         construct concrete models of fractions

 

compare fractional parts of whole objects or sets of objects in a problem situation

                        Kindergarten:       (DVISD expectation: compare fractional parts of whole objects or sets of objects in a problem situation using [concrete] models (halves)

                        First grade:          (DVISD expectation: compare fractional parts of whole objects or sets of objects in a problem situation using [concrete] models (halves, thirds and fourths) with exposure to sixths and eighths)

                        Second grade:     (DVISD expectation: compare fractional parts of whole objects or sets of objects in a problem situation using [concrete] models (halves, thirds, fourths, sixths, eighths, and twelfths)

(3.2)     (B)       Third grade:      compare fractional parts of whole objects or sets of objects in a problem situation using [concrete] models (halves, thirds, fourths, sixths, eighths, and twelfths)

(4.2)     (C)       Fourth grade:    compare and order fractions using [concrete and] pictorial models

(5.2)     (B)       Fifth grade:          compare two fractional quantities in problem solving situations using a variety of methods, including common denominators

 

generate equivalent fractions using [concrete and] pictorial models

                        Second grade:     (DVISD expectation: identify equivalent fractions using halves and fourths)

                        Third grade:         (DVISD expectation: identify equivalent fractions using halves, thirds, fourths, sixths, and eighths)

(4.2)     (A)       Fourth grade:    generate equivalent fractions using [concrete and] pictorial models

(5.2)     (A)       Fifth grade:        generate equivalent fractions

 

model fraction quantities greater than one using [concrete materials and] pictures

                        Third grade:         (DVISD expectation: model fractional quantities of greater than one using [concrete materials and] pictures)

(4.2)     (B)       Fourth grade:    model fractional quantities of greater than one using [concrete materials and] pictures

 

compare and order fractions using [concrete and] pictorial models

                        Second grade:     (DVISD expectation: compare and order fractions using [concrete and] pictorial models using halves)

                        Third grade:         (DVISD expectation: compare and order fractions using [concrete and] pictorial models using halves and fourths)

(4.2)     (C)       Fourth grade:    compare and order fractions using [concrete and] pictorial models

 

compare two fractional quantities in problem-solving situations using a variety of methods, including common denominators

                        Fourth grade:       (DVISD expectation: compare two fractional quantities in problem-solving situations using a variety of methods)

(5.2)     (B)       Fifth grade:          compare two fractional quantities in problem-solving strategies using a variety of methods, including common denominators

 

relate decimals to fractions using models

                        Second grade:     (DVISD expectation: identify tenths)

                        Third grade:         (DVISD expectation: identify tenths and hundredths)

(4.2)     (D)       Fourth grade:    relate decimals to fractions that name tenths and hundredths using models

(5.2)     (C)       Fifth grade:        use models to relate decimals to fractions that name tenths, hundredths, and thousandths

 

Operations

The student models addition, and subtraction, model and create addition and subtraction problems in real situations with concrete objects.  The student is expected to:

model and create addition and subtraction problem situations with concrete objects and write corresponding number sentences

(K.4)                Kindergarten:       model and create addition and subtraction problem situations with concrete objects and write corresponding number sentences

(1.3)     (A)       First grade           model and create addition and subtraction problem situations with concrete objects and write corresponding number sentences

 

 

learn and apply basic addition facts

                        Kindergarten:       (DVISD expectation: learn and apply basic addition facts to 10)

(1.3)     (B)       First grade:          learn and apply basic addition facts (sums to 18) using concrete models

(2.3)     (A)       Second grade:     recall and apply basic addition facts (sums to 18)

 

The student adds and subtracts to solve meaningful problems involving whole numbers (K-3).  The student adds, subtracts, multiplies, and divides to solve meaningful problems and justify solutions involving whole numbers and decimals (4-8).  The student is expected to:

use addition and subtraction

(K.4)    .           Kindergarten:       model addition and subtraction using pictures, words, and numbers (DVISD expectation: model addition and subtraction with numbers to 10)

                        First grade:          (DVISD expectation: model addition and subtraction using pictures, words, and numbers with numbers to 100)

                        Second grade:     (DVISD expectation: model addition and subtraction using pictures, words, and numbers with numbers to 1,000)

(3.3)     (A)       Third grade:      model addition and subtraction using pictures, words, and numbers

                        Fourth grade:       (DVISD expectation: model addition and subtraction involving fractions with models, using pictures words, and numbers)

                        Fifth grade:          (DVISD expectation: model addition and subtraction involving fractions with models, using pictures words, and numbers)

6.2)      (A)       Sixth grade:         model addition and subtraction involving fractions with models, using pictures words, and numbers

 

use addition and subtraction to solve problems

                        Kindergarten:       (DVISD expectation: model addition and subtraction using concrete models  to solve problems involving whole numbers to 20)

                        First grade:          (DVISD expectation: use addition and subtraction to solve problems involving whole numbers to 100)

                        Second grade:     (DVISD expectation: use addition and subtraction to solve problems involving whole numbers to 1,000)

                        Third grade:       use addition and subtraction to solve problems involving whole numbers

(4.3)     (A)       Fourth grade:    use addition and subtraction to solve problems involving whole numbers

(5.3)     (A)       Fifth grade:        use addition and subtraction to solve problems involving whole numbers and decimals

(6.2)     (B)       Sixth grade:         use addition and subtraction to solve problems involving fractions and decimals

 

select addition or subtraction and use the operation to solve problems

                        Kindergarten:       (DVISD expectation: select addition or subtraction and use the operation to solve problems involving whole numbers through 18)

.                       First grade:          (DVISD expectation: select addition or subtraction and use the operation to solve problems involving whole numbers through 99 without regrouping)

(2.3)     (B)       Second grade:     select addition or subtraction and solve problems using two-digit numbers, whether or not regrouping is necessary (DVISD expectation: select addition or subtraction and use the operation to solve problems involving whole numbers through 999)

(3.3)     (B)       Third grade:      select addition or subtraction and use the operation to solve problems involving whole numbers through 999 (DVISD expectation: select addition or subtraction and use the operation to solve problems involving whole numbers through   9,999)

 

add and subtract decimals

                        First grade:          (DVISD expectation: add and subtract money using combinations of pennies, nickels, dimes, and quarters)

                        Second grade:     (DVISD expectation: add and subtract money using dollars and cents)

                        Third grade:         (DVISD expectation: add and subtract decimals to the tenths place using [concrete and] pictorial models, including dollars and cents)

(4.3)     (B)       Fourth grade:    add and subtract decimals to the hundredths place using [concrete and] pictorial models (DVISD expectation: includes dollars and cents)

(5.3)     (A)       Fifth grade:        use addition and subtraction to solve problems involving decimals (DVISD expectation: includes dollars and cents)

                                                  

model and record addition and subtraction of fractions with like denominators in problem-solving situations

                        Fourth grade:       (DVISD expectation: model and record addition and subtraction of fractions with like denominators in problem-solving situations)

(5.3)     (E)       Fifth grade:        model and record addition and subtraction of fractions with like denominators in problem-solving situations

 

The student recognizes and solves problems in multiplication and division situations (3).  The student multiplies and divides to solve meaningful problems involving whole numbers (4-8).  The student is expected to:

solve and record multiplication problems (one-digit multiplier)

(K.1)    (B)       Kindergarten:       introduce the concept of groups or sets

                        First grade:          (DVISD expectation: use a graphic representation to make equal groups to identify how many in all)

                        Second grade:     (DVISD expectation: solve and record multiplication problems using one digit multipliers)

(3.4)     (B)       Third grade:      solve and record multiplication problems (one-digit multiplier)

(4.4)     (D)       Fourth grade:    use multiplication to solve problems involving two-digit numbers

(5.3)     (B)       Fifth grade:          use multiplication to solve problems involving whole numbers (no more than 3-digit times 2-digit)

           

use models to solve division problems and use number sentences to record the solutions

                        First grade:          (DVISD expectation: use a graphic representation to separate a group of objects to identify how many equal groups)

(2.4)     (B)       Second grade:     model, create, and describe division situations in which a set of concrete objects is separated into equivalent sets

(3.4)     (C)       Third grade:      use models to solve division problems and use number sentences to record the solutions

(4.4)     (E)       Fourth grade:    use division to solve problems involving one-digit divisors

 

model factors and products

                        Second grade:     (DVISD expectation: use arrays for multiplication with multiplies up to 10)

                        Third grade:         (DVISD expectation: use arrays for multiplication with multipliers up to 12)

(4.4)     (A)       Fourth grade:    model factors and products using arrays and area models

recall and apply multiplication facts

                        Second grade:     (DVISD expectation: recall multiplication facts through 5 x 5)

(3.4)     (A)       Third grade:         learn and apply multiplication facts through the tens using concrete models

(4.4)     (C)       Fourth grade:    recall and apply multiplication facts through 12 x 12

 

represent multiplication and division situations

                        Second grade:     (DVISD expectation: identify multiplication and division situations using pictorial models)

                        Third grade:         (DVISD expectation: represent multiplication and division situations in picture, word, and number form)

(4.4)     (B)       Fourth grade:    represent multiplication and division situations in picture, word, and number form

                        Fifth grade:          (DVISD expectation: represent multiplication situations involving fractions)

                        Sixth grade:         (DVISD expectation: represent multiplication and division situations involving fractions and decimals with [concrete] models, pictures, words, and numbers)

(7.2)     (A)       Seventh grade:  represent multiplication and division situations involving fractions and decimals with [concrete] models, pictures, words, and numbers

 

use division to solve problems

                        Third grade:         (DVISD expectation: use division to solve problems involving whole numbers (no more than one-digit divisors and two-digit dividends)

                        Fourth grade:       (DVISD expectation: use division to solve problems involving whole numbers (no more than one-digit divisors and three-digit dividends without technology)

(5.3)     (C)       Fifth grade:        use division to solve problems involving whole numbers (no more than two-digit divisors and three-digit dividends without technology)

 

use multiplication and division to solve problems including situations involving equivalent ratios and rates

                        Fifth grade:          (DVISD expectation: use multiplication and division of whole numbers to solve problems including situations involving equivalent ratios and rates)

(6.2)     (C)       Sixth grade:       use multiplication and division of whole numbers to solve problems including situations involving equivalent ratios and rates

(7.1)     (D)       Seventh grade:  use division to find unit rates and rations in proportional relationships such as speed, density, price, recipes, and student-teacher ratio

 

identify prime factors of a whole number and common factors of a set of whole numbers

                        Fourth grade:       (DVISD expectation: identify prime factors of a whole number and common factors of a set of whole numbers)

(5.3)     (D)       Fifth grade:        identify prime factors of a whole number and common factors of a set of whole numbers

(6.1)     (E)       Sixth grade:       identify factors and multiples including common factors and common multiples

 

Quantitative reasoning.

The student estimates to determine reasonable results.  The student is expected to:

round two-digit numbers to the nearest ten and three-digit numbers to the nearest hundred

                        Kindergarten:       (DVISD expectation: round one-digit numbers to ten)

                        First grade:          (DVISD expectation: round two-digit numbers to the nearest ten)

                        Second grade:     (DVISD expectation: round two-digit numbers to the nearest ten and three-digit numbers to the nearest hundred)

(3.5)     (B)       Third grade:      round two-digit numbers to the nearest ten and three-digit numbers to the nearest hundred

(4.4)     (A)       Fourth grade:    round whole numbers to the nearest ten, hundred, or thousand to approximate reasonable results in problem situations

(5.4)     (A)       Fifth grade:        round whole numbers and decimals through tenths to approximate reasonable results in problem situations

                        Sixth grade:         (DVISD expectation: round whole numbers and decimals through hundredths to approximate reasonable results in problem situations)

 

estimate sums and differences beyond basic facts

                        First grade:          (DVISD expectation: identify the better estimate when using 10 as a referent)

                        Second grade:     (DVISD expectation: estimate sums and differences beyond basic facts)

(3.5)     (B)       Third grade:      estimate sums and differences beyond basic facts

 

estimate a product or quotient beyond basic facts

                        Third grade:         (DVISD expectation: estimate a product or quotient beyond basic facts)

(4.5)     (B)       Fourth grade:    estimate a product or quotient beyond basic facts

 

estimate to solve problems where exact answers are not required

                        Fourth grade:       (DVISD expectation: estimate to solve problems where exact answers are not required)

(5.4)     (B)       Fifth grade:        estimate to solve problems where exact answers are not required

(6.2)     (D)       Sixth grade:       estimate and round to approximate reasonable results and to solve problems where exact answers are not required

(7.2)     (G)       Seventh grade:  determine the reasonableness of a solution to a problem

 

 

Patterns, relationships, and algebraic thinking.

The student uses patterns to solve problems (K-3).  The student makes generalizations based on observed patterns and relationships.  The student is expected to:

identify, extend, and create patterns

(K.4)                Kindergarten:       identify, extend, and create patterns of sounds, physical movement, and concrete models

 

identify patterns

                        Kindergarten:       (DVISD expectation: skip count by 2’s to 20 and by 5’s and 10’s to 100)

(1.4)     (B)       First grade:          use patterns to skip count by twos, fives, and tens

(2.5)     (C)       Second grade:     use patterns to develop strategies to remember basic addition facts

(3.6)     (B)       Third grade:      identify patterns in multiplication facts using [concrete objects,] pictorial models, [or technology]

(4.6)     (C)       Fourth grade:    use patterns to multiple by 10 and 100

 

find patterns in numbers

(1.5)     (A)       First grade:          find patterns in numbers, including odd and even

(2.5)     (A)       Second grade:     find patterns in numbers such as in a 100’s chart

compare and order whole numbers using place value

(K.6)    (B)       Kindergarten:       count by ones to 100

(1.5)     (B)       First grade:          compare and order whole numbers using place value

(2.5)     (B)       Second grade:     use patterns in place value to compare and order whole numbers through 999

 

identify and extend whole-number and geometric patterns to make predictions and solve problems

(K.6)    (A)       Kindergarten:       use patterns to predict what comes next, including cause-and-effect relationships (DVISD expectation: identify and extend patterns AB, ABC, ABB)

(1.4)     (A)       First grade:          identify, describe, and extend concrete and pictorial patterns in order to make predictions and solve problems

(2.6)     (C)       Second grade:     identify, describe, and expand whole number and geometric patterns to make predictions and solve problems

(3.6)     (A)       Third grade:      identify and extend whole number and geometric patterns to make predictions and solve problems

 

identify patterns in related sentences (fact families)

(1.5)     (C)       First grade:          identify patterns in related addition and subtraction sentences (fact families for sums to 18) such as such as 2 + 3 = 6, 3 + 2 =6, 6 - 2 =3,

                                                   6 - 3 = 2

(2.5)     (D)       Second grade:     identify patterns in related addition and subtraction sentences (fact families) such as 2 + 3 = 6, 3 + 2 =6, 6 - 2 =3, 6 - 3 = 2

(3.6)     (C)       Third grade:      identify patterns in related multiplication and division sentences (fact families) such as 2 x 3 = 6, 3 x 2 =6, 6 ÷ 2 =3, 6 ÷ 3 = 2

(4.6)     (B)       Fourth grade:    solve division problems related to multiplication facts (fact families) such as 9 x 9 = 81 and 81 ÷ 9 = 9

 

use [concrete objects or] pictures to make generalizations about determining all possible combinations

                        Second grade:     (DVISD expectation: use manipulatives to show different combinations for a given number)

                        Third grade:         (DVISD expectation: use manipulatives to show different combinations for a given number)

                        Fourth grade:       (DVISD expectation: use manipulatives to show different combinations for a given number)

 (5.5)    (A)       Fifth grade:       use [concrete objects or] pictures to make generalizations about determining all possible combinations

 

use lists, tables , charts, and diagrams to find patterns and make generalizations such as a procedure for determining equivalent fractions

                        Second grade:     (DVISD expectation: recognize and complete patterns in charts or tables using skip counting)

                        Third grade:         (DVISD expectation: recognize and complete patterns in charts or tables using skip counting)

                        Fourth grade:       (DVISD expectation: use lists, tables , charts, and diagrams to find patterns and make generalizations such as a procedure for determining equivalent fractions)

(5.5)     (B)       Fifth grade:        use lists, tables , charts, and diagrams to find patterns and make generalizations such as a procedure for determining equivalent fractions

identify prime and composite numbers using [concrete] models and patterns in factor pairs

                        Second grade:     (DVISD  expectation: use manipulatives to identify whether a number can be put into equal groups)

                        Third grade:         (DVISD expectation: identify whether a number can be put into equal groups)

                        Fourth grade:       (DVISD expectation: identify prime and composite numbers using [concrete] models and patterns in factor pairs)

(5.5)     (C)       Fifth grade:        identify prime and composite numbers using [concrete] models and patterns in factor pairs

 

Relationships

The student uses, lists, tables, and charts to express patterns and relationships (K-3).  The student uses organizational structures to analyze and describe patterns and relationships (4-8).  The student is expected to:

generate a table of paired numbers based on a real-life situation such as insects and legs

                        Kindergarten:       (DVISD expectation: generate a table of paired numbers using concrete materials or pictures)

                        First grade:          (DVISD expectation: sort objects into two categories and make a tally table)

(2.6)     (A)       Second grade:     generate a table of paired numbers based on a real-life situation such as number of tricycles related to number of wheels

(3.7)     (A)       Third grade:      generate a table of paired numbers based on a real-life situation such as insects and legs

 

identify patterns in a table of related number pairs based on a real-life situation and extend the table

                        Kindergarten:       (DVISD expectation: identify patterns and extend the table using concrete materials or pictures)

                        First grade:          (DVISD expectation: identify patterns in a table of related number pairs based on a real-life situation)

(2.6)     (B)       Second grade:     identify patterns in a table of related number pairs based on a real-life situation and extend the table

(3.7)     (B)       Third grade:      identify patterns in a table of related number pairs based on a real-life situation and extend the table

 

describe the relationship between two sets of related data such as ordered pairs in a table

                        Kindergarten:       (DVISD expectation: compare two sets of data using concrete materials)

                        First grade: