Grade 3 – Mathematics++++Current <strong>TEKS</strong>: Number, Operation, andQuantitatifve ReasoningRevised <strong>TEKS</strong> (2012) Supporting Information Notes3(2)(B) Number and operations.Thestudent applies mathematical processstandards to represent and compare wholenumbers and understand relationships relatedto place value.The student is expected to describe themathematical relationships found in thebase-10 place value system through thehundred thousands place.3(2)(C) Number and operations.Thestudent applies mathematical processstandards to represent and compare wholenumbers and understand relationships relatedto place value.The student is expected to represent anumber on a number line as beingbetween two consecutive multiples of 10,100, 1,000, or 10,000 and use words todescribe relative size of numbers in orderto round whole numbers.3(3)(G) Number and operations.Thestudent applies mathematical processstandards to represent and explain fractionalunits.The student is expected to explain thattwo fractions are equivalent if and only ifthey are both represented by the samepoint on the number line or represent thesame portion of a same size whole for anarea model.3(4)(I) Number and operations.Thestudent applies mathematical processstandards to develop and use strategies andmethods for whole number computations inorder to solve problems with efficiency andaccuracy.The student is expected to determine if anumber is even or odd using divisibilityrules.The mathematical relationships includeinterpreting the value of each place-valueposition as ten times the position to the right.The revised SE 3(2)(B) builds to the revisedSE 4(2)(A).This builds on number line understandingsfrom grade 2 with Revised SEs 2(2)(E) and2(2)(F).Words may include phrases such as “closerto,” “is about,” or “is nearly.”The emphasis with this revised SE is on theunderstanding that equivalent fractions mustbe describing the same whole. 6/8 does notequal ¾ when the 6/8 is part of a candy barand the ¾ is part of a pizza. While they bothdescribe ¾ of their respective wholes, theamounts described by 6/8 and ¾ are not thesame.To determine if a number is even, one mayapply the divisibility rule for 2: A number isdivisible by 2 if the ones digit is even (0, 2, 4,6, or 8).©2013 Texas Education Agency. All Rights Reserved 2013 Introduction to the Revised Mathematics <strong>TEKS</strong>: Side-by-Side <strong>TEKS</strong> Comparison 10
Grade 3 – MathematicsCurrent <strong>TEKS</strong>: Patterns, Relationships,and Algebraic ThinkingRevised <strong>TEKS</strong> (2012) Supporting Information Notes–3(6)(A) Patterns, relationships, andalgebraic thinking. The student usespatterns to solve problems.The student is expected to identify andextend whole-number and geometricpatterns to make predictions and solveproblems.This skill is not included explicitly within theRevised <strong>TEKS</strong> (2012).3(6)(B) Patterns, relationships, andalgebraic thinking. The student usespatterns to solve problems.•The student is expected to identifypatterns in multiplication facts usingconcrete objects, pictorial models, ortechnology.3(4)(E) Number and operations.Thestudent applies mathematical processstandards to develop and use strategies andmethods for whole number computations inorder to solve problems with efficiency andaccuracy.The student is expected to representmultiplication facts by using a variety ofapproaches such as repeated addition,equal-sized groups, arrays, area models,equal jumps on a number line, and skipcounting.Specificity for patterns in multiplication factshas been added with repeated addition,equal-sized groups, arrays, area models,equal jumps on a number line, and skipcounting.+3(6)(C) Patterns, relationships, andalgebraic thinking. The student usespatterns to solve problems.The student is expected to identifypatterns in related multiplication anddivision sentences (fact families) such as2 x 3 = 6, 3 x 2 = 6, 6 ÷ 2 = 3, 6 ÷ 3 = 2.3(4)(J) Number and operations.Thestudent applies mathematical processstandards to develop and use strategies andmethods for whole number computations inorder to solve problems with efficiency andaccuracy.The student is expected to determine aquotient using the relationship betweenmultiplication and division.3(5)(D) Algebraic reasoning. The studentapplies mathematical process standards toanalyze and create patterns and relationships.The student is expected to determine theunknown whole number in amultiplication or division equationrelating three whole numbers when theunknown is either a missing factor orproduct.The identification of the relationship betweenmultiplication and division, as seen in factfamilies, lays the foundation for determining aquotient based on this relationship.Specificity has been added to identify thepurpose of the relationship betweenmultiplication and division to determining aquotient.For example, the quotient of 40÷8 can befound by determining what factor makes40 when multiplied by 8.If the multiplication or division equationrelates whole numbers from fact families upto 10x10, students may apply theirknowledge of facts and the relationshipbetween multiplication and division todetermine the unknown number.Students may be expected to use therelationship between multiplication anddivision for a problem such as 12=[]÷6. Thestudent knows that if 12=[]÷6 then 12x6=[],so []=72. Students may also be expected tosolve problems where they state that thevalue 4 makes 3x[]=12 a true equation.©2013 Texas Education Agency. All Rights Reserved 2013 Introduction to the Revised Mathematics <strong>TEKS</strong>: Side-by-Side <strong>TEKS</strong> Comparison 11